swbat… solve two-step equations

SWBAT… solve two-step equations

Agenda

1. Warm-up (10 min)

2. Review hw#3 (30 min)

3. Exit slip (5 min)

Warm-Up.

1.) Re-do the quiz problems you got wrong on the back of the quiz. Also, do the extra credit problem.

HW#4 – Mulit-step equations

Wed, 9/21

1.)

2.)

865

1y

34

5

c

SWBAT… solve multi-step equationsAgenda

1. Warm-up (10 min)

2. Review HW3 (15 min)

3. Solving multi-step equations w/ distr property and CLT: 4 problems (20 min)

Warm-Up.

1.) If evaluate 4 – x

2.) Solve for x:

3.) Find three consecutive even numbers with a sum of 72

HW#4 – Multi-step equations

Thurs, 9/22

37

10

x

37

6 x

SWBAT… solve multi-step equations

Agenda

1. Warm-up (15 min)

2. Review /work on hw#4 (20 min)

Warm-Up:

1.) 5(g + 8) – 7 = 103

2.)

HW#4 – Multi-step equations

Fri, 9/23

5

3

3k

9

Solve each equation: List the steps:

1.) 5(g + 8) – 7 = 103

HW#4-Multi-Step Eqns

1. Distribute the 5

2. CLT: 40 – 7 = 33

3. Subtract both sides by 33

g = 14

4. Divide both sides by 5

Solve each equation: List the steps:

2.)

HW#4-Multi-Step Eqns

1. Cross multiply 3(k+3) = 9(5)

2. Distribute the 3

3. Subtract both sides by 9

k = 12

4. Divide both sides by 3

5

3

3k

9

6

5

23xx

Multiply both sides of the equation by 6

To remove fractions from an equation:Multiply both sides of the equation (EVERY TERM) by the least common denominator

1.)

Solve each equation: List the steps:

b – 8b + 1 = -6

HW#4-Multi-Step Eqns

1. CLT: b – 8b = -7b

2. Subtract 1 from both sides

3. Divide both sides by -7

b = 1

Solving linear equations using distributive property or combining like terms

Solve each equation: List the steps:

-(m + 1) = 11

HW#4-Multi-Step Eqns

1. Distribute the -1

2. Add 1 to both sides

3. Divide both sides by -1

m = -12

SWBAT… solve multi-step equations with variables on both sides including fractions

Agenda

1. Warm-up (10 min)

2. Two equations with fractions (15 min)

3. Review / work on hw#4 (10 min)

Warm-Up:

1.) -6b + 1 = -3 + 2b

2.) 2(r + 4) – 2 = (12r + 18)

Back of LAST week’s agenda (week 7) (great practice for tomorrow’s quiz)

Tues, 9/26

3

2

Solving linear equations involving fractions

3.)4

5

8

2

3xx

To remove fractions from an equation:Multiply both sides of the equation (each term) by the least common denominator

Multiply both sides of the

equation by 10 (each term)

x = 40

Solving linear equations with variables on both sides involving fractions

4.)

To remove fractions from an equation:Multiply both sides of the equation (each term) by the least common denominator

Multiply both sides of the

equation by 12 (each term)

x = 1

6

5

23xx

SWBAT… solve multi-step equations

Agenda 1. WU (10 min)2. Geometry problem with equations (5 min)3. Review HW#4 & back of agenda (10 min)4. Quiz (20 min)

Warm-Up: Solve:

1.) ½(12n – 4) = -(-14 + 10n)

2.)

Wed, 9/28

45

8

2

3nn

Find the value of x so that the two rectangles have the same area.

x – 3

16

x

14

14(x) = 16(x – 3) x = 24

Extra Credit: Complete on the back

Solve for y:

yy 2

55

4

Homework over October break1. Back of this week’s agenda – week 8: Application of

Linear Equations (see “PPT7-Application Equations” for examples)

2. HW#6-Solving Algebraic Equations – No Solutions & Infinite Solutions (try it – see examples. Google “no solution equations”)

3. HW#7-Multi-step equations

4. HW#9 - Expressions & Equations Take Home Study Guide (Equations Test is the Friday after October break)

HW#6-No Solutions & Infinite Solutions Answers

1. No Solution

2. No Solution

3. Infinite Solutions or All Real Numbers

4. No Solution

5. Infinite Solutions or All Real Numbers

6. No Solution

7. Infinite Solutions or All Real Numbers

8. No Solution

HW#7-Multi-Step Equations Answers

1. Infinite Solution or All Numbers

2. Infinite Solution or All Numbers

3. No Solution

4. Infinite Solutions or All Numbers

5. b = -2

6. y = -4/3

7. m = 15

8. No Solution

Directions:On your tablets, you will be solving

equations.You will have 1-3 minutes to solve

each problem (SHOW YOUR WORK – ALL STEPS!)

When you hear the timer go off, show me your tablets.

1/15

What is the one country you would like to visit?

2/15

a = 2

24

16

3

a

3/15

-(a + 1) = ¾

a = -1¾ or -7/4

4/15

p = 48

934

p

5/15

k = 12

5

3

3k

9

6/15

x = 1

6

5

23xx

7/15

The sum of six and four times d is the same as d minus nine. Solve for d.

6 + 4d = d – 9 d = -5

8/15

3(2k – 2) = -2(4k – 11)

k = 2

9/15

3

1

6

5

6

1

3

2 qq

2

1q

10/15

6(3a + 1) – 30 = 3(2a – 4)

a = 1

11/15

Find three consecutive even integers whose sum is -42.

n + (n + 2) + (n + 4) = -42

n = -16

-16, -14, and -12

12/15

x = 40

45

8

2

3xx

13/15: Literal Equation

Given d = rt for t t = d/r

Solve for r r = d/t

14/15: Literal Equation

Given y = mx + b solve for b

b = y – mx

Solve for mm = (y – b)/x

15/15: Literal Equation

Given P = 2l + 2w solve for w

w = (P – 2l)/2

Literal Equation

Solve 8x – 2y = 10 for y

y = 4x – 5