Tuesday, Oct 30

5 Minute CheckSimplify each expression. Complete in your notes. 1. (4x + 8) + (7x + 3)2. (-3x + 7) + (-6x + 9)3. (x 10) + (3x 6)4. (-3x 7) + (4x + 7)

5 Minute CheckSimplify each expression. Complete in your notes. 1. (4x + 8) + (7x + 3)

5 Minute CheckSimplify each expression. Complete in your notes. 1. (4x + 8) + (7x + 3)

4x + 8 + 7x + 3 11x + 11

5 Minute CheckSimplify each expression. Complete in your notes. 2. (-3x + 7) + (-6x + 9)

5 Minute CheckSimplify each expression. Complete in your notes. 2. (-3x + 7) + (-6x + 9)

-3x + 7 -6x + 9

-9x + 16

5 Minute CheckSimplify each expression. Complete in your notes. 3. (x 10) + (3x 6)

5 Minute CheckSimplify each expression. Complete in your notes. 3. (x 10) + (3x 6)

x 10 + 3x 6

4x - 16

5 Minute CheckSimplify each expression. Complete in your notes. 4. (-3x 7) + (4x + 7)

5 Minute CheckSimplify each expression. Complete in your notes. 4. (-3x 7) + (4x + 7)

-3x 7 + 4x + 7

x

Mid-Chapter Quiz ReviewDescribe the relationship between the terms in the sequence. Then write the next three terms.

34, 38, 42, 46,.Mid-Chapter Quiz ReviewDescribe the relationship between the terms in the sequence. Then write the next three terms.

34, 38, 42, 46,.

Add 4; 50,54,58Mid-Chapter Quiz ReviewDescribe the relationship between the terms in the sequence. Then write the next three terms.

5.6, 5.9, 6.2, 6.5,

Mid-Chapter Quiz ReviewDescribe the relationship between the terms in the sequence. Then write the next three terms.

5.6, 5.9, 6.2, 6.5,

Add .3; 6.8, 7.1, 7.4Mid-Chapter Quiz ReviewName the property shown in the statement.

45 + (5 + 3) = (45 + 5 ) + 3Mid-Chapter Quiz ReviewName the property shown in the statement.

45 + (5 + 3) = (45 + 5 ) + 3

Associative PropertyMid-Chapter Quiz ReviewName the property shown in the statement.

45 + (3 + 5) = (45 + 5 ) + 3

Mid-Chapter Quiz ReviewName the property shown in the statement.

45 + (3 + 5) = (45 + 5 ) + 3

Commutative PropertyMid-Chapter Quiz ReviewName the property shown in the statement.

4(3 + 5) = 12 + 20

Mid-Chapter Quiz ReviewName the property shown in the statement.

4(3 + 5) = 12 + 20

Distributive PropertyMid-Chapter Quiz ReviewEvaluate if x = 5, y = 2, z = -4

y + z

Mid-Chapter Quiz ReviewEvaluate if x = 5, y = 2, z = -4

y + z2 +(-4) -2

Mid-Chapter Quiz ReviewEvaluate if x = 5, y = 2, z = -4

yz + x + 3y

Mid-Chapter Quiz ReviewEvaluate if x = 5, y = 2, z = -4

yz + x + 3y2 (-4) + 5 + 3 2 -8 + 5 + 6 -3 + 6 3

Mid-Chapter Quiz ReviewEvaluate.

3(x + 6)

Mid-Chapter Quiz ReviewEvaluate.

3(x + 6) 3x + 18

Mid-Chapter Quiz ReviewEvaluate.

4(2w - 3)

Mid-Chapter Quiz ReviewEvaluate.

4(2w - 3) 8w - 12

Mid-Chapter Quiz ReviewEvaluate.

-5(2 3t)

Mid-Chapter Quiz ReviewEvaluate.

-5(2 3t) -10 + 15t

Mid-Chapter Quiz ReviewEverything off your desk.

Friday, May 15Lesson 7.5.7

Subtract Linear ExpressionsSubtract Linear ExpressionsObjective: To subtract linear expressions.

Subtract Linear ExpressionsA linear expression is an algebraic expression in which the variable is raised to the first power.

Subtract Linear ExpressionsA linear expression is an algebraic expression in which the variable is raised to the first power.

These are called linear because when graphed, it makes a straight line. Expressions with powers greater than 1, make a curved line.

Subtract Linear ExpressionsNon-linear graphsy = x

Subtract Linear ExpressionsNon-linear graphsy = x

Subtract Linear ExpressionsSimplify. (7x 4) - (2x 6)

To Simplify Linear ExpressionsStep 1 Multiply the sign outside the first parenthesis by both terms inside.

Subtract Linear ExpressionsSimplify. (7x 4) - (2x 6) 7x - 4

To Simplify Linear ExpressionsStep 1 Multiply the sign outside the first parenthesis by both terms inside.

Subtract Linear ExpressionsSimplify. (7x 4) - (2x 6) 7x - 4

To Simplify Linear ExpressionsStep 2 Multiply the sign outside the second parenthesis by both terms inside.

Subtract Linear ExpressionsSimplify. (7x 4) - (2x 6) 7x 4 - 2x + 6

To Simplify Linear ExpressionsStep 2 Multiply the sign outside the second parenthesis by both terms inside.

Subtract Linear ExpressionsSimplify. (7x 4) - (2x 6) 7x 4 - 2x + 6 To Simplify Linear ExpressionsStep 3 Combine like terms.

Subtract Linear ExpressionsSimplify. (7x 4) - (2x 6) 7x 4 -2x + 6 5x + 2

To Simplify Linear ExpressionsStep 3 Combine like terms.

Subtract Linear ExpressionsSimplify. (7x 4) - (2x 6)7x 4 - 2x + 6

Terms with x: 7x, -2x = 5Constants: -4, 6 = 25x + 2We can prove this by substituting a number in for x in both expressions.

Subtract Linear ExpressionsWhat if x = 4? (7x 4) - (2x 6) = 5x + 2

Subtract Linear ExpressionsWhat if x = 4? (7x 4) - (2x 6) = 5x + 2(7 4 4) - (2 4 6) = 5 4 + 2 (28 4) (8 6) = 20 + 2 24 2 = 22 22 = 22

Subtract Linear ExpressionsSimplify. (2x 1) - (x 5)

Step 1 - ?

Subtract Linear ExpressionsSimplify. (2x 1) - (x 5) 2x - 1

Step 2 - ?

Subtract Linear ExpressionsSimplify. (2x 1) - (x 5) 2x 1 x + 5

Step 3 - ?

Subtract Linear ExpressionsSimplify. (2x 1) - (x 5) 2x 1 x + 5 x + 4

Subtract Linear ExpressionsSimplify. (3x 5) - (2x 3)

Do this on your own.

Subtract Linear ExpressionsSimplify. (3x 5) - (2x 3) 3x 5 2x + 3 x - 2

Terms with x: 3x, -2x = 1Constants: -5, +3 = -2

Subtract Linear ExpressionsSimplify. (2x + 5) - (4x + 1)

Do this on your own.

Subtract Linear ExpressionsSimplify. (2x + 5) - (4x + 1) 2x + 5 - 4x - 1 -2x + 4

Terms with x: 2x, -4x = -2Constants: 5, -1 = 4

Subtract Linear ExpressionsSimplify. (6x + 5) - (3x + 1)

Subtract Linear ExpressionsSimplify. (6x + 5) - (3x + 1) 6x + 5 - 3x - 1 3x + 4

Terms with x: 6x, -3x = 3Constants: 5, -1 = 4

Subtract Linear ExpressionsSimplify. (-4x - 7) - (-5x - 2)

Subtract Linear ExpressionsSimplify. (-4x - 7) - (-5x - 2) -4x - 7 + 5x + 2 x - 5

Terms with x: -4x, 5x = 1Constants: -7, 2 = -5

Subtract Linear ExpressionsSimplify. (4x - 3) - (2x + 7)

Subtract Linear ExpressionsSimplify. (4x - 3) - (2x + 7) 4x - 3 - 2x - 7 2x - 10

Terms with x: 4x, -2x = 2Constants: -3, -7 = -10

Subtract Linear ExpressionsSimplify. (5x - 4) - (2x + 3)

Subtract Linear ExpressionsSimplify. (5x - 4) - (2x + 3) 5x - 4 - 2x - 3 3x - 7

Terms with x: 5x, -2x = 3Constants: -4, -3 = -7

Subtract Linear ExpressionsA hat store tracks the sale of college and professional team hats for m months. The number of college hats sold is represented by (6m + 3). The number of professional hats sold is represented by (5m -2) Write an expression to show how many more college hats were sold than professional hats. Then evaluate when m is 10.

Subtract Linear ExpressionsA hat store tracks the sale of college and professional team hats for m months. The number of college hats sold is represented by (6m + 3). The number of professional hats sold is represented by (5m -2) Write an expression to show how many more college hats were sold than professional hats. Then evaluate when m is 10.(6m + 3) - (5m - 2) 6m + 3 - 5m + 2Terms with m: 6m, -5m = 1Constants: 3, 2 = 5m + 5; m = 10 , then 10 + 5 = 15

Subtract Linear ExpressionsAgenda NotesHomework Homework Practice 7.5.7 due by the end of the period. Circle all answers and show all work

Chapter 7.5 Test -Wednesday, May 20