Multi Step Equations Distributive Property

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

• infinite solutions

• x = 1

• x = -1

• no solution

6 (-6 -5v) = 84

• -3

• -5

• -4

• 3

3x + 15 = 3(x + 5)

• No Solution

• x = 15

• all real numbers (infinite)

Solve the equation.

6(2n+5) = 66

• x = 3

• x = 5.08

• x = 8

• x = 432

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

• Find the constant

• Find the coefficient

• Find the value of the variable

• Guess and check

Identify if this equation has one solution, infinitely many solutions or no solution.
-3x+1=x+9-4x

• one solution

• infinitely many

• no solution

2x - 3 + 4x = 27

• 12

• 4

• 5

• 15

Solve.
(2x - 3) / 4  = 9

• x = 24

• x = 12

• x = 17.5

• x = 19.5

Which of the equations has no solution?

• 2x + 1 = 5x - 3

• 2(x - 7) = 2x-14

• 3(2x+1) = 6x+1

• 15x - 30 = 0

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