Solving Multi-Step Equations

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:

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

• 2

• 6

• -6

• 7.5

Solve:

7x + 19 = -2x + 55

• 4

• 14.8

• 8.2

• -4

Solve the equation:
4 - 6x - 2= -2(3x-1)

• no solution

• infinitely many solutions

• x = ⅓

• x = 4

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

• -11

• -3

• 10

• 7

0.75 + 2(a - 0.5) = 3a - 0.4

• 0.15

• 5

• 1.5

• 3.75

• A
• B
• C
• D

Which equation will end in "no solution"?

• 2w - 11 = 3w + 5

• 2(w + 8) = 2(2w - 19)

• w + 7 + w = 2w - 9

• 2w - 6 = 2(w - 10) + 5w

Solve:
3(x - 2) = 18

• 6.7

• 4

• 8

• -4

5x - 4 + 2x = 3

• 1

• 2

• 3

• 4