Solving Multi-Step Equations Review

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

• one

• no solutions

• infinite solutions

2x + 1 = 2(x -10)

• No Solution

• x = 0

• all real numbers (infinite)

3x + 15 = 3(x + 5)

• No Solution

• x = 15

• all real numbers (infinite)

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.

• 4 rooms

• 1/3 rooms

• 3.5 rooms

• 3 rooms

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

• - 7

• 7

• 14

• - 14

-15 = 5a +12- 2a + 6

• -11

• -3

• 10

• 7

3a + 9 + 4a = 2

• -1

• 1

• no solution

• -7

4(a + 3) = -32

• -11

• -44

• -20

• -8

2 + 14a = -8 + 9a

• -2

• 3

• 5

• -10

-a = 9(a - 10)

• 9

• 1

• 90

• 10