Multi-Step Equations Distributive

Pristine House Cleaners charges $19.85 plus $32 a room. Sparkle House Cleaners charges $61.85 plus $18 a 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 Houses

• 1/3 Houses

• 3.5 Houses

• 3 Houses

Solve the equation.

2x - 3 + 4x = 27

• 12

• 4

• 5

• 15

Solve the equation.

2(x - 4) =18

• x = 20

• x = 7

• x = 11

• x = 13

The goal of solving a one, two, or multi-step equation is to:

• Find the constant

• Find the coefficient

• Find the value of the variable

• Guess and check

Which of the following is equivalent to -8 + 9(5 + 2x)?

• -5 - 2x

• 18x + 37

• -37 + 18x

• 18x - 53

2x - 3 + 4x = 27

• 12

• 4

• 5

• 15

3(3x - 6) = 18

• x = 4

• x = -4

• x = 0

• x = -12

2 (x - 4) =18

• x = 20

• x = 7

• x = 11

• x = 13

6 ( 2n + 5 ) = 66

• x = 3

• x = 5.08

• x = 8

• x = 432

3x + 2(4x - 4) = 3

• x = 4

• x = 3

• x = 2

• x = 1