Modeling Multi-Step Equations

14p - 8 = 22 + 20p

• -5

• 5

• 30

• -30

Solve: 5x + 15 = 10x - 40

• x = 10

• x = -10

• x = 11

• x = -11

What is the first step to solve this equation?
3n - 4 = -2 + 2n 

• Add 2n to both sides of the equation

• Add 3n to both sides of the equation

• Subtract 2n from both sides of the equation

• Subtract 4 from both sides of the equation

What is the first step to solve this equation?
k + 6 = -4k - 9 

• Add k to both sides of the equation

• Add 4k to both sides of the equation

• Subtract 9 from both sides of the equation

• Subtract 4k from both sides of the equation

What is the first step to solve this equation?
3x + 6 = 10 + 3x + 4x

• Add 4x to both sides of the equation

• Combine like terms 3x and 4x on the same side of the equation

• Add 3x and 6 to get 9x

• Add 6 and 10 to get 16

What is the next step to solve this equation?
3x + 6 = 10 + 7x

• Add 6 to both sides of the equation

• Add 10 to both sides of the equation

• Add 7x to both sides of the equation

• Subtract 7x from both sides of the equation

What is the first step to solve this equation?
x - 5 = 7 - 2x

• Add 7 to both sides of the equation

• Add 2x to both sides of the equation

• Subtract 2x from both sides of the equation

• Subtract 5 from both sides of the equation

What is the next step to solve this equation?
5k + 6 = -9

• Add 9 to both sides of the equation

• Add 6 to both sides of the equation

• Subtract 6 from both sides of the equation

• Subtract 5k from both sides of the equation

What is the solution to this equation?

• one solution

• no solution

• infinite solutions

• none of these

What is the solution to the equations?

• one solution

• no solution

• infinite solutions

• none of these