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Solving Multi-Step Equations

Total questions: 10

Worksheet time: 10mins

Name
Class
Date
1.

3x - 7 = 3(x - 3) + 2

a)

one

b)

no solutions

c)

infinite solutions

2.

2x + 1 = 2(x -10)

a)

No Solution

b)

x = 0

c)

all real numbers (infinite)

3.

3x + 15 = 3(x + 5)

a)

No Solution

b)

x = 15

c)

all real numbers (infinite)

4.

What is the first step in solving the equation 2a - 4(a - 5) = 10

a)

Add 4 to both sides

b)

Add the 2a and a 

c)

Distribute 4 to a and -5

d)

Distribute -4 to a and -5

5.

Solve the equation:
3x - x + 4 = 4(2x +1)

a)

no solution

b)

infinite solutions

c)

x = 6

d)

x = 0

6.

Pristine House Cleaners charges $19.85 plus $32 per room. Sparkle House Cleaners charges $61.85 plus $18 per room. Write and solve an equation to find the number of rooms for which the total cost of both house cleaners is the same.

a)

4 rooms

b)

1/3 rooms

c)

3.5 rooms

d)

3 rooms

7.

Solve for x:
4 - 2(x - 3) = 24

a)

- 7

b)

7

c)

14

d)

- 14

8.

Solve:

2(2x + 3) = -6(x + 9)

a)

2

b)

6

c)

-6

d)

7.5

9.

Solve:

7x + 19 = -2x + 55

a)

4

b)

14.8

c)

8.2

d)

-4

10.
a)
A
b)
B
c)
C
d)
D