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Algebra I Lesson #2 Unit 12 Class Worksheet #2 For Worksheets #2 & #3

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Page 1: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Algebra I Lesson #2 Unit 12Class Worksheet #2

For Worksheets #2 & #3

Page 2: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 Variable

Page 3: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

Page 4: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

1. 2x2 = 13x + 7

Page 5: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

1. 2x2 = 13x + 7

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 6: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

1. 2x2 = 13x + 72x2

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 7: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

1. 2x2 = 13x + 72x2 –

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 8: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

1. 2x2 = 13x + 72x2 – 13x

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 9: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

1. 2x2 = 13x + 72x2 – 13x –

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 10: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

1. 2x2 = 13x + 72x2 – 13x – 7

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 11: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

1. 2x2 = 13x + 72x2 – 13x – 7 = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 12: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

1. 2x2 = 13x + 72x2 – 13x – 7 = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 13: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

1. 2x2 = 13x + 72x2 – 13x – 7 = 0

(2x )(x ) = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 14: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

1. 2x2 = 13x + 72x2 – 13x – 7 = 0

(2x + 1)(x – 7) = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 15: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

1. 2x2 = 13x + 72x2 – 13x – 7 = 0

(2x + 1)(x – 7) = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 16: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

1. 2x2 = 13x + 72x2 – 13x – 7 = 0

(2x + 1)(x – 7) = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

2x + 1 =

Page 17: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

1. 2x2 = 13x + 72x2 – 13x – 7 = 0

(2x + 1)(x – 7) = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

2x + 1 = 0

Page 18: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

1. 2x2 = 13x + 72x2 – 13x – 7 = 0

(2x + 1)(x – 7) = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

2x + 1 = 0 or

Page 19: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

1. 2x2 = 13x + 72x2 – 13x – 7 = 0

(2x + 1)(x – 7) = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

2x + 1 = 0 or x – 7 =

Page 20: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

1. 2x2 = 13x + 72x2 – 13x – 7 = 0

(2x + 1)(x – 7) = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

2x + 1 = 0 or x – 7 = 0

Page 21: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

1. 2x2 = 13x + 72x2 – 13x – 7 = 0

(2x + 1)(x – 7) = 02x + 1 = 0 or x – 7 = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 22: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

1. 2x2 = 13x + 72x2 – 13x – 7 = 0

(2x + 1)(x – 7) = 02x + 1 = 0 or x – 7 = 0

2x =

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 23: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

1. 2x2 = 13x + 72x2 – 13x – 7 = 0

(2x + 1)(x – 7) = 02x + 1 = 0 or x – 7 = 0

2x = -1

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 24: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

1. 2x2 = 13x + 72x2 – 13x – 7 = 0

(2x + 1)(x – 7) = 02x + 1 = 0 or x – 7 = 0

2x = -1 x =

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 25: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

1. 2x2 = 13x + 72x2 – 13x – 7 = 0

(2x + 1)(x – 7) = 02x + 1 = 0 or x – 7 = 0

2x = -1 x = -1/2

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 26: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

1. 2x2 = 13x + 72x2 – 13x – 7 = 0

(2x + 1)(x – 7) = 02x + 1 = 0 or x – 7 = 0

2x = -1 or x = -1/2

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 27: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

1. 2x2 = 13x + 72x2 – 13x – 7 = 0

(2x + 1)(x – 7) = 02x + 1 = 0 or x – 7 = 0

x =2x = -1

or x = -1/2

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 28: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

1. 2x2 = 13x + 72x2 – 13x – 7 = 0

(2x + 1)(x – 7) = 02x + 1 = 0 or x – 7 = 0

x = 72x = -1

or x = -1/2

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 29: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

1. 2x2 = 13x + 72x2 – 13x – 7 = 0

(2x + 1)(x – 7) = 02x + 1 = 0 or x – 7 = 0

x = 72x = -1

or x = -1/2

Page 30: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

2. 6x2 + 13x = 5

Page 31: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

2. 6x2 + 13x = 5

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 32: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

2. 6x2 + 13x = 56x2

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 33: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

2. 6x2 + 13x = 56x2 +

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 34: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

2. 6x2 + 13x = 56x2 + 13x

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 35: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

2. 6x2 + 13x = 56x2 + 13x –

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 36: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

2. 6x2 + 13x = 56x2 + 13x – 5

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 37: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

2. 6x2 + 13x = 56x2 + 13x – 5 = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 38: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

2. 6x2 + 13x = 56x2 + 13x – 5 = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 39: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

2. 6x2 + 13x = 56x2 + 13x – 5 = 0

(3x )(2x ) = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 40: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

2. 6x2 + 13x = 56x2 + 13x – 5 = 0

(3x – 1)(2x + 5) = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 41: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

2. 6x2 + 13x = 56x2 + 13x – 5 = 0

(3x – 1)(2x + 5) = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 42: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

2. 6x2 + 13x = 56x2 + 13x – 5 = 0

(3x – 1)(2x + 5) = 03x – 1 =

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 43: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

2. 6x2 + 13x = 56x2 + 13x – 5 = 0

(3x – 1)(2x + 5) = 03x – 1 = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 44: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

2. 6x2 + 13x = 56x2 + 13x – 5 = 0

(3x – 1)(2x + 5) = 03x – 1 = 0 or

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 45: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

2. 6x2 + 13x = 56x2 + 13x – 5 = 0

(3x – 1)(2x + 5) = 03x – 1 = 0 or 2x + 5 =

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 46: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

2. 6x2 + 13x = 56x2 + 13x – 5 = 0

(3x – 1)(2x + 5) = 03x – 1 = 0 or 2x + 5 = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 47: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

2. 6x2 + 13x = 56x2 + 13x – 5 = 0

(3x – 1)(2x + 5) = 03x – 1 = 0 or 2x + 5 = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 48: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

2. 6x2 + 13x = 56x2 + 13x – 5 = 0

(3x – 1)(2x + 5) = 03x – 1 = 0 or 2x + 5 = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

3x =

Page 49: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

2. 6x2 + 13x = 56x2 + 13x – 5 = 0

(3x – 1)(2x + 5) = 03x – 1 = 0 or 2x + 5 = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

3x = 1

Page 50: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

2. 6x2 + 13x = 56x2 + 13x – 5 = 0

(3x – 1)(2x + 5) = 03x – 1 = 0 or 2x + 5 = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

x =3x = 1

Page 51: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

2. 6x2 + 13x = 56x2 + 13x – 5 = 0

(3x – 1)(2x + 5) = 03x – 1 = 0 or 2x + 5 = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

x = 1/33x = 1

Page 52: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

2. 6x2 + 13x = 56x2 + 13x – 5 = 0

(3x – 1)(2x + 5) = 03x – 1 = 0 or 2x + 5 = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

x = 1/32x =3x = 1

Page 53: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

2. 6x2 + 13x = 56x2 + 13x – 5 = 0

(3x – 1)(2x + 5) = 03x – 1 = 0 or 2x + 5 = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

x = 1/32x = -5 3x = 1

Page 54: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

2. 6x2 + 13x = 56x2 + 13x – 5 = 0

(3x – 1)(2x + 5) = 03x – 1 = 0 or 2x + 5 = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

x = 1/3 or x =2x = -5 3x = 1

Page 55: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

2. 6x2 + 13x = 56x2 + 13x – 5 = 0

(3x – 1)(2x + 5) = 03x – 1 = 0 or 2x + 5 = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

x = 1/3 or x = -5/22x = -5 3x = 1

Page 56: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

2. 6x2 + 13x = 56x2 + 13x – 5 = 0

(3x – 1)(2x + 5) = 03x – 1 = 0 or 2x + 5 = 0

x = 1/3 or x = -5/22x = -5 3x = 1

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 57: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

3. x2 = 9

Page 58: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

3. x2 = 9

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 59: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

3. x2 = 9x2

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 60: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

3. x2 = 9x2 –

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 61: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

3. x2 = 9x2 – 9

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 62: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

3. x2 = 9x2 – 9 = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 63: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

3. x2 = 9x2 – 9 = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 64: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

3. x2 = 9x2 – 9 = 0

(x )(x ) = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 65: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

3. x2 = 9x2 – 9 = 0

(x + 3)(x – 3) = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 66: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

3. x2 = 9x2 – 9 = 0

(x + 3)(x – 3) = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 67: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

3. x2 = 9x2 – 9 = 0

(x + 3)(x – 3) = 0

x + 3 =

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 68: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

3. x2 = 9x2 – 9 = 0

(x + 3)(x – 3) = 0

x + 3 = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 69: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

3. x2 = 9x2 – 9 = 0

(x + 3)(x – 3) = 0

x + 3 = 0 or

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 70: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

3. x2 = 9x2 – 9 = 0

(x + 3)(x – 3) = 0

x + 3 = 0 or x – 3 =

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 71: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

3. x2 = 9x2 – 9 = 0

(x + 3)(x – 3) = 0

x + 3 = 0 or x – 3 = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 72: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

3. x2 = 9x2 – 9 = 0

(x + 3)(x – 3) = 0

x + 3 = 0 or x – 3 = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 73: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

3. x2 = 9x2 – 9 = 0

(x + 3)(x – 3) = 0

x + 3 = 0 or x – 3 = 0x =

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 74: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

3. x2 = 9x2 – 9 = 0

(x + 3)(x – 3) = 0

x + 3 = 0 or x – 3 = 0x = -3

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 75: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

3. x2 = 9x2 – 9 = 0

(x + 3)(x – 3) = 0

x + 3 = 0 or x – 3 = 0x = -3 or

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 76: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

3. x2 = 9x2 – 9 = 0

(x + 3)(x – 3) = 0

x + 3 = 0 or x – 3 = 0x = -3 or x =

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 77: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

3. x2 = 9x2 – 9 = 0

(x + 3)(x – 3) = 0

x + 3 = 0 or x – 3 = 0x = -3 or x = 3

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 78: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

3. x2 = 9x2 – 9 = 0

(x + 3)(x – 3) = 0

x + 3 = 0 or x – 3 = 0x = -3 or x = 3

Page 79: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

4. x2 = 9x

Page 80: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

4. x2 = 9x

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 81: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

4. x2 = 9xx2

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 82: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

4. x2 = 9xx2 –

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 83: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

4. x2 = 9xx2 – 9x

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 84: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

4. x2 = 9xx2 – 9x = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 85: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

4. x2 = 9xx2 – 9x = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 86: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

4. x2 = 9xx2 – 9x = 0x(

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 87: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

4. x2 = 9xx2 – 9x = 0x(x – 9)

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 88: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

4. x2 = 9xx2 – 9x = 0x(x – 9) = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 89: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

4. x2 = 9xx2 – 9x = 0x(x – 9) = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 90: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

4. x2 = 9xx2 – 9x = 0x(x – 9) = 0

x =

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 91: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

4. x2 = 9xx2 – 9x = 0x(x – 9) = 0

x = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 92: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

4. x2 = 9xx2 – 9x = 0x(x – 9) = 0

x = 0 or

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 93: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

4. x2 = 9xx2 – 9x = 0x(x – 9) = 0

x = 0 or x – 9 =

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 94: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

4. x2 = 9xx2 – 9x = 0x(x – 9) = 0

x = 0 or x – 9 = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 95: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

4. x2 = 9xx2 – 9x = 0x(x – 9) = 0

x = 0 or x – 9 = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 96: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

4. x2 = 9xx2 – 9x = 0x(x – 9) = 0

x = 0 or x – 9 = 0x = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 97: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

4. x2 = 9xx2 – 9x = 0x(x – 9) = 0

x = 0 or x – 9 = 0x = 0 or

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 98: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

4. x2 = 9xx2 – 9x = 0x(x – 9) = 0

x = 0 or x – 9 = 0x = 0 or x =

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 99: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

4. x2 = 9xx2 – 9x = 0x(x – 9) = 0

x = 0 or x – 9 = 0x = 0 or x = 9

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 100: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

4. x2 = 9xx2 – 9x = 0x(x – 9) = 0

x = 0 or x – 9 = 0x = 0 or x = 9

Page 101: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

5. x2 + 5 = 6x

Page 102: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

5. x2 + 5 = 6x

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 103: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

5. x2 + 5 = 6xx2

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 104: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

5. x2 + 5 = 6xx2 –

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 105: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

5. x2 + 5 = 6xx2 – 6x

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 106: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

5. x2 + 5 = 6xx2 – 6x +

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 107: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

5. x2 + 5 = 6xx2 – 6x + 5

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 108: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

5. x2 + 5 = 6xx2 – 6x + 5 = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 109: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

5. x2 + 5 = 6xx2 – 6x + 5 = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 110: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

5. x2 + 5 = 6xx2 – 6x + 5 = 0

(x )(x ) = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 111: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

5. x2 + 5 = 6xx2 – 6x + 5 = 0

(x – 1)(x – 5) = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 112: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

5. x2 + 5 = 6xx2 – 6x + 5 = 0

(x – 1)(x – 5) = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 113: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

5. x2 + 5 = 6xx2 – 6x + 5 = 0

(x – 1)(x – 5) = 0x – 1 =

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 114: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

5. x2 + 5 = 6xx2 – 6x + 5 = 0

(x – 1)(x – 5) = 0x – 1 = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 115: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

5. x2 + 5 = 6xx2 – 6x + 5 = 0

(x – 1)(x – 5) = 0x – 1 = 0 or

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 116: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

5. x2 + 5 = 6xx2 – 6x + 5 = 0

(x – 1)(x – 5) = 0x – 1 = 0 or x – 5 =

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 117: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

5. x2 + 5 = 6xx2 – 6x + 5 = 0

(x – 1)(x – 5) = 0x – 1 = 0 or x – 5 = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 118: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

5. x2 + 5 = 6xx2 – 6x + 5 = 0

(x – 1)(x – 5) = 0x – 1 = 0 or x – 5 = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 119: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

5. x2 + 5 = 6xx2 – 6x + 5 = 0

(x – 1)(x – 5) = 0x – 1 = 0 or x – 5 = 0

x =

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 120: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

5. x2 + 5 = 6xx2 – 6x + 5 = 0

(x – 1)(x – 5) = 0x – 1 = 0 or x – 5 = 0

x = 1

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 121: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

5. x2 + 5 = 6xx2 – 6x + 5 = 0

(x – 1)(x – 5) = 0x – 1 = 0 or x – 5 = 0

x = 1 or

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 122: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

5. x2 + 5 = 6xx2 – 6x + 5 = 0

(x – 1)(x – 5) = 0x – 1 = 0 or x – 5 = 0

x = 1 or x =

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 123: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

5. x2 + 5 = 6xx2 – 6x + 5 = 0

(x – 1)(x – 5) = 0x – 1 = 0 or x – 5 = 0

x = 1 or x = 5

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 124: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

5. x2 + 5 = 6xx2 – 6x + 5 = 0

(x – 1)(x – 5) = 0x – 1 = 0 or x – 5 = 0

x = 1 or x = 5

Page 125: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

6. 8x2 + 15 = 26x

Page 126: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

6. 8x2 + 15 = 26x

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 127: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

6. 8x2 + 15 = 26x8x2

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 128: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

6. 8x2 + 15 = 26x8x2 –

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 129: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

6. 8x2 + 15 = 26x8x2 – 26x

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 130: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

6. 8x2 + 15 = 26x8x2 – 26x +

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 131: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

6. 8x2 + 15 = 26x8x2 – 26x + 15

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 132: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

6. 8x2 + 15 = 26x8x2 – 26x + 15 = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 133: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

6. 8x2 + 15 = 26x8x2 – 26x + 15 = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 134: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

6. 8x2 + 15 = 26x8x2 – 26x + 15 = 0

(4x )(2x ) = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 135: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

6. 8x2 + 15 = 26x8x2 – 26x + 15 = 0

(4x – 3)(2x – 5) = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 136: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

6. 8x2 + 15 = 26x8x2 – 26x + 15 = 0

(4x – 3)(2x – 5) = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 137: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

6. 8x2 + 15 = 26x8x2 – 26x + 15 = 0

(4x – 3)(2x – 5) = 04x – 3 =

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 138: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

6. 8x2 + 15 = 26x8x2 – 26x + 15 = 0

(4x – 3)(2x – 5) = 04x – 3 = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 139: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

6. 8x2 + 15 = 26x8x2 – 26x + 15 = 0

(4x – 3)(2x – 5) = 04x – 3 = 0 or

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 140: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

6. 8x2 + 15 = 26x8x2 – 26x + 15 = 0

(4x – 3)(2x – 5) = 04x – 3 = 0 or 2x – 5 =

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 141: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

6. 8x2 + 15 = 26x8x2 – 26x + 15 = 0

(4x – 3)(2x – 5) = 04x – 3 = 0 or 2x – 5 = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 142: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

6. 8x2 + 15 = 26x8x2 – 26x + 15 = 0

(4x – 3)(2x – 5) = 04x – 3 = 0 or 2x – 5 = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 143: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

6. 8x2 + 15 = 26x8x2 – 26x + 15 = 0

(4x – 3)(2x – 5) = 04x – 3 = 0 or 2x – 5 = 0

4x =

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 144: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

6. 8x2 + 15 = 26x8x2 – 26x + 15 = 0

(4x – 3)(2x – 5) = 04x – 3 = 0 or 2x – 5 = 0

4x = 3

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 145: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

6. 8x2 + 15 = 26x8x2 – 26x + 15 = 0

(4x – 3)(2x – 5) = 04x – 3 = 0 or 2x – 5 = 0

x =4x = 3

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 146: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

6. 8x2 + 15 = 26x8x2 – 26x + 15 = 0

(4x – 3)(2x – 5) = 04x – 3 = 0 or 2x – 5 = 0

x = 3/44x = 3

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 147: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

6. 8x2 + 15 = 26x8x2 – 26x + 15 = 0

(4x – 3)(2x – 5) = 04x – 3 = 0 or 2x – 5 = 0

x = 3/42x =4x = 3

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 148: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

6. 8x2 + 15 = 26x8x2 – 26x + 15 = 0

(4x – 3)(2x – 5) = 04x – 3 = 0 or 2x – 5 = 0

x = 3/42x = 5 4x = 3

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 149: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

6. 8x2 + 15 = 26x8x2 – 26x + 15 = 0

(4x – 3)(2x – 5) = 04x – 3 = 0 or 2x – 5 = 0

x = 3/4 or2x = 5 4x = 3

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 150: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

6. 8x2 + 15 = 26x8x2 – 26x + 15 = 0

(4x – 3)(2x – 5) = 04x – 3 = 0 or 2x – 5 = 0

x = 3/4 or x =2x = 5 4x = 3

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 151: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

6. 8x2 + 15 = 26x8x2 – 26x + 15 = 0

(4x – 3)(2x – 5) = 04x – 3 = 0 or 2x – 5 = 0

x = 3/4 or x = 5/22x = 5 4x = 3

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 152: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

6. 8x2 + 15 = 26x8x2 – 26x + 15 = 0

(4x – 3)(2x – 5) = 04x – 3 = 0 or 2x – 5 = 0

x = 3/4 or x = 5/22x = 5 4x = 3

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 153: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

7. 15x2 + x = 2

Page 154: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

7. 15x2 + x = 2

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 155: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

7. 15x2 + x = 215x2

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 156: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

7. 15x2 + x = 215x2 +

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 157: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

7. 15x2 + x = 215x2 + x

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 158: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

7. 15x2 + x = 215x2 + x –

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 159: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

7. 15x2 + x = 215x2 + x – 2

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 160: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

7. 15x2 + x = 215x2 + x – 2 = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 161: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

7. 15x2 + x = 215x2 + x – 2 = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 162: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

7. 15x2 + x = 215x2 + x – 2 = 0

(3x )(5x ) = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 163: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

7. 15x2 + x = 215x2 + x – 2 = 0

(3x – 1)(5x + 2) = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 164: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

7. 15x2 + x = 215x2 + x – 2 = 0

(3x – 1)(5x + 2) = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 165: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

7. 15x2 + x = 215x2 + x – 2 = 0

(3x – 1)(5x + 2) = 03x – 1 =

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 166: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

7. 15x2 + x = 215x2 + x – 2 = 0

(3x – 1)(5x + 2) = 03x – 1 = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 167: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

7. 15x2 + x = 215x2 + x – 2 = 0

(3x – 1)(5x + 2) = 03x – 1 = 0 or

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 168: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

7. 15x2 + x = 215x2 + x – 2 = 0

(3x – 1)(5x + 2) = 03x – 1 = 0 or 5x + 2 =

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 169: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

7. 15x2 + x = 215x2 + x – 2 = 0

(3x – 1)(5x + 2) = 03x – 1 = 0 or 5x + 2 = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 170: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

7. 15x2 + x = 215x2 + x – 2 = 0

(3x – 1)(5x + 2) = 03x – 1 = 0 or 5x + 2 = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 171: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

7. 15x2 + x = 215x2 + x – 2 = 0

(3x – 1)(5x + 2) = 03x – 1 = 0 or 5x + 2 = 0

3x =

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 172: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

7. 15x2 + x = 215x2 + x – 2 = 0

(3x – 1)(5x + 2) = 03x – 1 = 0 or 5x + 2 = 0

3x = 1

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 173: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

7. 15x2 + x = 215x2 + x – 2 = 0

(3x – 1)(5x + 2) = 03x – 1 = 0 or 5x + 2 = 0

x =3x = 1

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 174: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

7. 15x2 + x = 215x2 + x – 2 = 0

(3x – 1)(5x + 2) = 03x – 1 = 0 or 5x + 2 = 0

x = 1/33x = 1

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 175: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

7. 15x2 + x = 215x2 + x – 2 = 0

(3x – 1)(5x + 2) = 03x – 1 = 0 or 5x + 2 = 0

x = 1/35x =3x = 1

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 176: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

7. 15x2 + x = 215x2 + x – 2 = 0

(3x – 1)(5x + 2) = 03x – 1 = 0 or 5x + 2 = 0

x = 1/35x = -2 3x = 1

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 177: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

7. 15x2 + x = 215x2 + x – 2 = 0

(3x – 1)(5x + 2) = 03x – 1 = 0 or 5x + 2 = 0

x = 1/3 or5x = -2 3x = 1

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 178: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

7. 15x2 + x = 215x2 + x – 2 = 0

(3x – 1)(5x + 2) = 03x – 1 = 0 or 5x + 2 = 0

x = 1/3 or x =5x = -2 3x = 1

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 179: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

7. 15x2 + x = 215x2 + x – 2 = 0

(3x – 1)(5x + 2) = 03x – 1 = 0 or 5x + 2 = 0

x = 1/3 or x = -2/55x = -2 3x = 1

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 180: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

7. 15x2 + x = 215x2 + x – 2 = 0

(3x – 1)(5x + 2) = 03x – 1 = 0 or 5x + 2 = 0

x = 1/3 or x = -2/55x = -2 3x = 1

Page 181: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

8. 8x(2x – 1) = 15

Page 182: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

8. 8x(2x – 1) = 15

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 183: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

8. 8x(2x – 1) = 1516x2

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 184: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

8. 8x(2x – 1) = 1516x2 –

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 185: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

8. 8x(2x – 1) = 1516x2 – 8x =

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 186: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

8. 8x(2x – 1) = 1516x2 – 8x = 15

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 187: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

8. 8x(2x – 1) = 1516x2 – 8x = 15

16x2

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 188: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

8. 8x(2x – 1) = 1516x2 – 8x = 15

16x2 –

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 189: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

8. 8x(2x – 1) = 1516x2 – 8x = 15

16x2 – 8x

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 190: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

8. 8x(2x – 1) = 1516x2 – 8x = 15

16x2 – 8x –

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 191: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

8. 8x(2x – 1) = 1516x2 – 8x = 15

16x2 – 8x – 15

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 192: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

8. 8x(2x – 1) = 1516x2 – 8x = 15

16x2 – 8x – 15 = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 193: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

8. 8x(2x – 1) = 1516x2 – 8x = 15

16x2 – 8x – 15 = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 194: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

8. 8x(2x – 1) = 1516x2 – 8x = 15

16x2 – 8x – 15 = 0(4x )(4x ) = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 195: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

8. 8x(2x – 1) = 1516x2 – 8x = 15

16x2 – 8x – 15 = 0(4x – 5)(4x + 3) = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 196: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

8. 8x(2x – 1) = 1516x2 – 8x = 15

16x2 – 8x – 15 = 0(4x – 5)(4x + 3) = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 197: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

8. 8x(2x – 1) = 1516x2 – 8x = 15

16x2 – 8x – 15 = 0(4x – 5)(4x + 3) = 0

4x – 5 =

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 198: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

8. 8x(2x – 1) = 1516x2 – 8x = 15

16x2 – 8x – 15 = 0(4x – 5)(4x + 3) = 0

4x – 5 = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 199: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

8. 8x(2x – 1) = 1516x2 – 8x = 15

16x2 – 8x – 15 = 0(4x – 5)(4x + 3) = 0

4x – 5 = 0 or

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 200: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

8. 8x(2x – 1) = 1516x2 – 8x = 15

16x2 – 8x – 15 = 0(4x – 5)(4x + 3) = 0

4x – 5 = 0 or 4x + 3 =

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 201: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

8. 8x(2x – 1) = 1516x2 – 8x = 15

16x2 – 8x – 15 = 0(4x – 5)(4x + 3) = 0

4x – 5 = 0 or 4x + 3 = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 202: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

8. 8x(2x – 1) = 1516x2 – 8x = 15

16x2 – 8x – 15 = 0(4x – 5)(4x + 3) = 0

4x – 5 = 0 or 4x + 3 = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 203: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

8. 8x(2x – 1) = 1516x2 – 8x = 15

16x2 – 8x – 15 = 0(4x – 5)(4x + 3) = 0

4x – 5 = 0 or 4x + 3 = 04x =

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 204: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

8. 8x(2x – 1) = 1516x2 – 8x = 15

16x2 – 8x – 15 = 0(4x – 5)(4x + 3) = 0

4x – 5 = 0 or 4x + 3 = 04x = 5

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 205: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

8. 8x(2x – 1) = 1516x2 – 8x = 15

16x2 – 8x – 15 = 0(4x – 5)(4x + 3) = 0

4x – 5 = 0 or 4x + 3 = 0

x =4x = 5

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 206: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

8. 8x(2x – 1) = 1516x2 – 8x = 15

16x2 – 8x – 15 = 0(4x – 5)(4x + 3) = 0

4x – 5 = 0 or 4x + 3 = 0

x = 5/44x = 5

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 207: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

8. 8x(2x – 1) = 1516x2 – 8x = 15

16x2 – 8x – 15 = 0(4x – 5)(4x + 3) = 0

4x – 5 = 0 or 4x + 3 = 0

x = 5/44x =4x = 5

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 208: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

8. 8x(2x – 1) = 1516x2 – 8x = 15

16x2 – 8x – 15 = 0(4x – 5)(4x + 3) = 0

4x – 5 = 0 or 4x + 3 = 0

x = 5/44x = -3 4x = 5

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 209: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

8. 8x(2x – 1) = 1516x2 – 8x = 15

16x2 – 8x – 15 = 0(4x – 5)(4x + 3) = 0

4x – 5 = 0 or 4x + 3 = 0

x = 5/4 or4x = -3 4x = 5

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 210: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

8. 8x(2x – 1) = 1516x2 – 8x = 15

16x2 – 8x – 15 = 0(4x – 5)(4x + 3) = 0

4x – 5 = 0 or 4x + 3 = 0

x = 5/4 or x =4x = -3 4x = 5

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 211: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

8. 8x(2x – 1) = 1516x2 – 8x = 15

16x2 – 8x – 15 = 0(4x – 5)(4x + 3) = 0

4x – 5 = 0 or 4x + 3 = 0

x = 5/4 or x = -3/44x = -3 4x = 5

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 212: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

8. 8x(2x – 1) = 1516x2 – 8x = 15

16x2 – 8x – 15 = 0(4x – 5)(4x + 3) = 0

4x – 5 = 0 or 4x + 3 = 0

x = 5/4 or x = -3/44x = -3 4x = 5

Page 213: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

9. x2 + 7x – 3 = 3(2x – 1)

Page 214: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

9. x2 + 7x – 3 = 3(2x – 1)

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 215: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

9. x2 + 7x – 3 = 3(2x – 1)x2 + 7x – 3 =

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 216: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

9. x2 + 7x – 3 = 3(2x – 1)x2 + 7x – 3 = 6x

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 217: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

9. x2 + 7x – 3 = 3(2x – 1)x2 + 7x – 3 = 6x –

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 218: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

9. x2 + 7x – 3 = 3(2x – 1)x2 + 7x – 3 = 6x – 3

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 219: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

9. x2 + 7x – 3 = 3(2x – 1)x2 + 7x – 3 = 6x – 3

x2

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 220: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

9. x2 + 7x – 3 = 3(2x – 1)x2 + 7x – 3 = 6x – 3

x2 +

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 221: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

9. x2 + 7x – 3 = 3(2x – 1)x2 + 7x – 3 = 6x – 3

x2 + x

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 222: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

9. x2 + 7x – 3 = 3(2x – 1)x2 + 7x – 3 = 6x – 3

x2 + x = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 223: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

9. x2 + 7x – 3 = 3(2x – 1)x2 + 7x – 3 = 6x – 3

x2 + x = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 224: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

9. x2 + 7x – 3 = 3(2x – 1)x2 + 7x – 3 = 6x – 3

x2 + x = 0x(

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 225: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

9. x2 + 7x – 3 = 3(2x – 1)x2 + 7x – 3 = 6x – 3

x2 + x = 0x(x + 1)

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 226: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

9. x2 + 7x – 3 = 3(2x – 1)x2 + 7x – 3 = 6x – 3

x2 + x = 0x(x + 1) = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 227: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

9. x2 + 7x – 3 = 3(2x – 1)x2 + 7x – 3 = 6x – 3

x2 + x = 0x(x + 1) = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 228: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

9. x2 + 7x – 3 = 3(2x – 1)x2 + 7x – 3 = 6x – 3

x2 + x = 0x(x + 1) = 0

x =

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 229: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

9. x2 + 7x – 3 = 3(2x – 1)x2 + 7x – 3 = 6x – 3

x2 + x = 0x(x + 1) = 0

x = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 230: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

9. x2 + 7x – 3 = 3(2x – 1)x2 + 7x – 3 = 6x – 3

x2 + x = 0x(x + 1) = 0

x = 0 or

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 231: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

9. x2 + 7x – 3 = 3(2x – 1)x2 + 7x – 3 = 6x – 3

x2 + x = 0x(x + 1) = 0

x = 0 or x + 1 =

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 232: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

9. x2 + 7x – 3 = 3(2x – 1)x2 + 7x – 3 = 6x – 3

x2 + x = 0x(x + 1) = 0

x = 0 or x + 1 = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 233: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

9. x2 + 7x – 3 = 3(2x – 1)x2 + 7x – 3 = 6x – 3

x2 + x = 0x(x + 1) = 0

x = 0 or x + 1 = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 234: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

9. x2 + 7x – 3 = 3(2x – 1)x2 + 7x – 3 = 6x – 3

x2 + x = 0x(x + 1) = 0

x = 0 or x + 1 = 0x = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 235: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

9. x2 + 7x – 3 = 3(2x – 1)x2 + 7x – 3 = 6x – 3

x2 + x = 0x(x + 1) = 0

x = 0 or x + 1 = 0x = 0 or

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 236: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

9. x2 + 7x – 3 = 3(2x – 1)x2 + 7x – 3 = 6x – 3

x2 + x = 0x(x + 1) = 0

x = 0 or x + 1 = 0x = 0 or x =

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 237: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

9. x2 + 7x – 3 = 3(2x – 1)x2 + 7x – 3 = 6x – 3

x2 + x = 0x(x + 1) = 0

x = 0 or x + 1 = 0x = 0 or x = -1

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 238: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

9. x2 + 7x – 3 = 3(2x – 1)x2 + 7x – 3 = 6x – 3

x2 + x = 0x(x + 1) = 0

x = 0 or x + 1 = 0x = 0 or x = -1

Page 239: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

10. 4x2 + 5x + 1 = 5(x + 2)

Page 240: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

10. 4x2 + 5x + 1 = 5(x + 2)

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 241: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

10. 4x2 + 5x + 1 = 5(x + 2)4x2 + 5x + 1 =

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 242: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

10. 4x2 + 5x + 1 = 5(x + 2)4x2 + 5x + 1 = 5x

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 243: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

10. 4x2 + 5x + 1 = 5(x + 2)4x2 + 5x + 1 = 5x +

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 244: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

10. 4x2 + 5x + 1 = 5(x + 2)4x2 + 5x + 1 = 5x + 10

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 245: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

10. 4x2 + 5x + 1 = 5(x + 2)4x2 + 5x + 1 = 5x + 10

4x2

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 246: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

10. 4x2 + 5x + 1 = 5(x + 2)4x2 + 5x + 1 = 5x + 10

4x2 – 9

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 247: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

10. 4x2 + 5x + 1 = 5(x + 2)4x2 + 5x + 1 = 5x + 10

4x2 – 9 = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 248: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

10. 4x2 + 5x + 1 = 5(x + 2)4x2 + 5x + 1 = 5x + 10

4x2 – 9 = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 249: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

10. 4x2 + 5x + 1 = 5(x + 2)4x2 + 5x + 1 = 5x + 10

4x2 – 9 = 0(2x )(2x ) = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 250: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

10. 4x2 + 5x + 1 = 5(x + 2)4x2 + 5x + 1 = 5x + 10

4x2 – 9 = 0(2x + 3)(2x – 3) = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 251: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

10. 4x2 + 5x + 1 = 5(x + 2)4x2 + 5x + 1 = 5x + 10

4x2 – 9 = 0(2x + 3)(2x – 3) = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 252: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

10. 4x2 + 5x + 1 = 5(x + 2)4x2 + 5x + 1 = 5x + 10

4x2 – 9 = 0(2x + 3)(2x – 3) = 0

2x + 3 =

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 253: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

10. 4x2 + 5x + 1 = 5(x + 2)4x2 + 5x + 1 = 5x + 10

4x2 – 9 = 0(2x + 3)(2x – 3) = 0

2x + 3 = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 254: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

10. 4x2 + 5x + 1 = 5(x + 2)4x2 + 5x + 1 = 5x + 10

4x2 – 9 = 0(2x + 3)(2x – 3) = 0

2x + 3 = 0 or

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 255: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

10. 4x2 + 5x + 1 = 5(x + 2)4x2 + 5x + 1 = 5x + 10

4x2 – 9 = 0(2x + 3)(2x – 3) = 0

2x + 3 = 0 or 2x – 3 =

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 256: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

10. 4x2 + 5x + 1 = 5(x + 2)4x2 + 5x + 1 = 5x + 10

4x2 – 9 = 0(2x + 3)(2x – 3) = 0

2x + 3 = 0 or 2x – 3 = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 257: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

10. 4x2 + 5x + 1 = 5(x + 2)4x2 + 5x + 1 = 5x + 10

4x2 – 9 = 0(2x + 3)(2x – 3) = 0

2x + 3 = 0 or 2x – 3 = 0

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 258: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

10. 4x2 + 5x + 1 = 5(x + 2)4x2 + 5x + 1 = 5x + 10

4x2 – 9 = 0(2x + 3)(2x – 3) = 0

2x + 3 = 0 or 2x – 3 = 02x =

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 259: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

10. 4x2 + 5x + 1 = 5(x + 2)4x2 + 5x + 1 = 5x + 10

4x2 – 9 = 0(2x + 3)(2x – 3) = 0

2x + 3 = 0 or 2x – 3 = 02x = -3

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 260: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

10. 4x2 + 5x + 1 = 5(x + 2)4x2 + 5x + 1 = 5x + 10

4x2 – 9 = 0(2x + 3)(2x – 3) = 0

2x + 3 = 0 or 2x – 3 = 0

x =2x = -3

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 261: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

10. 4x2 + 5x + 1 = 5(x + 2)4x2 + 5x + 1 = 5x + 10

4x2 – 9 = 0(2x + 3)(2x – 3) = 0

2x + 3 = 0 or 2x – 3 = 0

x = -3/22x = -3

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 262: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

10. 4x2 + 5x + 1 = 5(x + 2)4x2 + 5x + 1 = 5x + 10

4x2 – 9 = 0(2x + 3)(2x – 3) = 0

2x + 3 = 0 or 2x – 3 = 0

x = -3/22x =2x = -3

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 263: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

10. 4x2 + 5x + 1 = 5(x + 2)4x2 + 5x + 1 = 5x + 10

4x2 – 9 = 0(2x + 3)(2x – 3) = 0

2x + 3 = 0 or 2x – 3 = 0

x = -3/22x = 3 2x = -3

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 264: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

10. 4x2 + 5x + 1 = 5(x + 2)4x2 + 5x + 1 = 5x + 10

4x2 – 9 = 0(2x + 3)(2x – 3) = 0

2x + 3 = 0 or 2x – 3 = 0

x = -3/2 or2x = 3 2x = -3

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 265: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

10. 4x2 + 5x + 1 = 5(x + 2)4x2 + 5x + 1 = 5x + 10

4x2 – 9 = 0(2x + 3)(2x – 3) = 0

2x + 3 = 0 or 2x – 3 = 0

x = -3/2 or x =2x = 3 2x = -3

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 266: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

10. 4x2 + 5x + 1 = 5(x + 2)4x2 + 5x + 1 = 5x + 10

4x2 – 9 = 0(2x + 3)(2x – 3) = 0

2x + 3 = 0 or 2x – 3 = 0

x = -3/2 or x = 3/22x = 3 2x = -3

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

Page 267: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

10. 4x2 + 5x + 1 = 5(x + 2)4x2 + 5x + 1 = 5x + 10

4x2 – 9 = 0(2x + 3)(2x – 3) = 0

2x + 3 = 0 or 2x – 3 = 0

x = -3/2 or x = 3/22x = 3 2x = -3

Page 268: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2

Solving Second Degree Equations With 1 VariableThe Factoring Method

Step 1: Write the equation in standard form: ax2 + bx + c = 0

Step 2: Write the equation in ‘factored form’.Step 3: Apply the ‘zero property of multiplication.

Step 4: Solve each equation.

10. 4x2 + 5x + 1 = 5(x + 2)4x2 + 5x + 1 = 5x + 10

4x2 – 9 = 0(2x + 3)(2x – 3) = 0

2x + 3 = 0 or 2x – 3 = 0

x = -3/2 or x = 3/22x = 3 2x = -3 Good luck on your homework !!!

Page 269: Algebra I Lesson #2 Unit 12 Class Worksheet #2 For ...richardbondmath.com/algebra1/Unit12/lesson2.pdf · Solving Second Degree Equations With 1 Variable The Factoring Method 1. 2x2