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2-2: Solving Two-Step Equations

Total questions: 10

Worksheet time: 30mins

Name
Class
Date
1.

What is the FIRST STEP to solve this equation?

−3x + 11 = 44

a)

Add 3 to both sides.

b)

Divide both sides by -3.

c)

Add 11 to both sides.

d)

Subtract 11 from both sides.

2.

What is the FIRST STEP to solve this equation?

2x − 1 = 15

a)

Subtract 1 from both sides.

b)

Add 1 to both sides.

c)

Divide both sides by 2.

d)

Subtract 15 from both sides.

3.

What is the FIRST STEP to solve this equation?

 y410=15\frac{y}{4}-10=15  

a)

Multiply both sides by 4.

b)

Subtract 10 from both sides.

c)

Divide both sides by 4.

d)

Add 10 to both sides.

4.

What are the CORRECT steps in solving the following equation?


5x − 6 = 24

a)

Add 6 to both sides and divide both sides by 5

b)

Add 6 to both sides and multiply both sides by 5

c)

Subtract 6 from both sides then multiply both sides by 5

d)

Subtract 6 from both sides then divide both sides by 5

5.

Solve for x:


−4x + 7 = 15

a)

x = 2

b)

x = 45

c)

x = −2

d)

x = −4

6.

Solve for x:


−5x − 3 = 52

a)

x = 11

b)

x = 275

c)

x = −11

d)

x = −275

7.

Solve for x:

 x2+6=10\frac{x}{2}+6=10  

a)

x = 8

b)

x = −8

c)

x = 32

d)

x = 2

8.

Solve for x:


4x + 3 = 15

a)

x = 2

b)

x = 4

c)

x = 1

d)

x = 3

9.

Solve for x:


7 + 11x = 40


(you may want to rewrite this with the variable first!)

a)

x = 2

b)

x = 1

c)

x = 4

d)

x = 3

10.

Solve for x:


−5 − 6x = −59


(you may want to rewrite this with the variable first!)

a)

x = 11

b)

x = −6

c)

x = 9

d)

x = 2