Over Lesson 4–4

A. A

B. B

C. C

D. D

Simplify the following expressions:

5x – 3 + 2x

8y – 5 – 6 – 4y

6z + 3 – 5 + 4 + 2z

7x – 3

4y – 11 or 4y + -11

8z + 2

Solving Multi-Step Equations

You have already solved two-step equations. (Lessons 4–5)

• Solve multi-step equations.

Solve a Multi-Step Equation

8x – 5 = 27 Step 1: Rewrite the equation

Solve 5x + 3x – 5 = 27.

x = 4 Step 4: Do the math

8x = 32

+ 5 =+ 5 Step 2+3: Draw line; Inverse

Repeat Steps 2+3

Solve a Multi-Step Equation

w = 33 Step 4: Do the math

Solve a Multi-Step Equation

-6c + 6= 30 Step 1: Rewrite the equation

Solve -4c + 6 – 2c = 30.

c = -4 Step 4: Do the math

-6c = 24

- 6 =- 6 Step 2+3: Draw line; Inverse

Repeat Steps 2+3

Solve a Multi-Step Equation

-4d + 3 = 19 Step 1: Rewrite the equation

Solve 11 – 4d – 8 = 19.

d = -4 Step 4: Do the math

-4d = 16

- 3 = - 3 Step 2+3: Draw line; Inverse

Repeat Steps 2+3

Combine Like Terms Before Solving

1b – 3b + 8 = 18 Step 1: Rewrite the equation

–2b + 8 = 18 Step 1: Rewrite the equation

–2b + 8 = 18

– 8 – 8 Step 2+3: Draw line; Inverse

–2b = 10

Solve b – 3b + 8 = 18. Check your solution.

Repeat Step 2+3.

b = –5 Step 4: Do the math

Answer: The solution is –5.

A. A

B. B

C. C

D. D

Solve 9 = 13 – x + 5x.

A. 1

B.

C.

D. –1