Splash Screen. Warm-ups 1.A 2.B 3.C 4.D Five Minute Check 1 (over Lesson 3-4) A.$18 B.$27 C.$54 D.$36 Solve the problem using the work backward strategy.

1. A

2. B

3. C

4. D

0% 0%0%0%

(over Lesson 3-4)

A. $18

B. $27

C. $54

D. $36

Solve the problem using the work backward strategy. Miguel spent $6 on fast food. Then he spent $3 on ice cream. After buying some comics, he had $9 left, which was one third of what he had to start with. How much money did Miguel have to start with?

1. A

2. B

3. C

4. D0% 0%0%0%

(over Lesson 3-4)

A. $160

B. $80

C. $200

D. $240

Solve the problem using the work backward strategy. Curtis paid $80 on the vet bill for his dog. Then the vet charged him $40 more for his dog’s medicine. If he now owes the vet $120, what was the starting balance on his bill?

1. A

2. B

3. C

4. D0% 0%0%0%

(over Lesson 3-4)

A. 25

B. 16

C. 18

D. 21

Solve the problem using the work backward strategy.A number is divided by 3. Then 5 is added to the quotient. After subtracting 2, the result is 10. What is the number?

Main Idea and Vocabulary

Example 1:Solve a Two-Step Equation

Example 2:Solve Two-Step Equations

Example 3:Solve Two-Step Equations

• two-step equation – an equations that has 2 different operations.

• Solve two-step equations (2.8.8E) (M7.D.2.1).

Solve a Two-Step Equation

Solve 4x + 3 = 19.

4x + 3 = 19 Write the equation.

4x = 16 Simplify.

x = 4 Simplify.

–3 = –3 Subtract 3 from each side.

Divide each side by 4.

Answer: The solution is 4.

Solve a Two-Step Equation

Check

4x + 3 = 19 Write the original equation.?

4(4) + 3 = 19 Replace x with 4.

19 = 19

BrainPOP: Two-Step Equations

16 + 3 = 19 Simplify.?

1. A

2. B

3. C

4. D0% 0%0%0%

Solve 3t – 7 = 14. Check your solution.

A.

B. 7

C. 18

D. 24

Solve Two-Step Equations

Solve 6 + 5y = 26. Check your solution.

6 + 5y = 26 Write the equation.

5y = 20 Simplify.

y = 4 Simplify.

–6 = –6 Subtract 6 from each side.

Divide each side by 5.

Answer: The solution is 4.

Solve Two-Step Equations

Check

6 + 5y = 26 Write the original equation.?

6 + 5(4) = 26 Replace y with 4.

26 = 26

6 + 20 = 26 Simplify.?

1. A

2. B

3. C

4. D0% 0%0%0%

A. 4

B. 5

C. 6

D. 7

Solve 4 + 2w = 18. Check your solution.

Solve Two-Step Equations

Solve –3c + 9 = 3. Check your solution.

–3c + 9 = 3 Write the equation.

–3c = –6 Simplify.

c = 2 Simplify.

–9 = –9 Subtract 9 from each side.

Divide each side by –3.

Answer: The solution is 2.

Solve Two-Step Equations

Check

–3c + 9 = 3 Write the original equation.?

–3(2) + 9 = 3 Replace c with 2.

3 = 3

–6 + 9 = 3 Simplify.?

1. A

2. B

3. C

4. D0% 0%0%0%

A. –3

B. –1

C. 3

D. 7

Solve –8k + 7 = 31. Check your solution.

REVIEW:

1. 3x + 1 = 7, x = 3. -6r + 1 = -17, r =

2. 4h – 6 = 22, h = 4. -3y – 5 = 10, y =

-1 = -13x = 63 3 x = 2

+ 6 = + 64h = 28 4 4 h = 7

-1 = -1-6r = -18-6 -6 r = 3

+5 = + 5-3y = 15-3 - 3 y = -5

End of the Lesson

Five-Minute Check (over Lesson 3–4)

Image Bank

Math Tools

Solving Equations Using Models

Perimeter

Solving Equations Two-Step Equations