Solving Multi-Step Equations

Solve: -8(-8x - 6) = -6x - 22

• x = -1

• x = 2/5

• x = 8/7

• x = 2

Solve: 22 + 2a = 37 + 6 + a

• a = 5

• a = 6

• a = -21

• a = 21

Solve: −5(4x − 2) = −2(3 +6x)

• x = 2

• x = -2

• x = 0.5

• x = -0.5

What is the first step when solving a multi-step equation?

• Isolate the variable.

• Combine like terms.

• Distribute.

• Multiply by the denominator of the coefficient.

What is the first step in solving 3x - x + 2 = 4(2x - 1) ?

• 2x + 2 = 4(2x - 1)

• 3x - x + 2 = 8x - 1

• 3x - x + 2 = 8x - 4

• 4x + 2 = 4(2x - 1)

Solve: 5(2x + 6) = −4(−5 −2x)+ 3x

• x = -20

• x = 20

• x = -10

• x = 10

According to your notes, after combining like terms (on both sides of the equal sign, if necessary), what is the next step in solving a multi-step equation?

• Distribute.

• Move the variable to one side.

• Add/subtract the constant.

• Divide by the coefficient of the variable.

The objective to solving an equation is:

• Isolate the variable to find its value.

• Guess and check.

• Combine like terms.

• Check the solution.

According to your notes, what is the correct order of the steps to solving a multi-step equation?

A. Move the variable to one side.

B. Add or subtract the constant.

C. Distribute

D. Divide (or multiply) by the coefficient of the variable.

E. Combine like terms.

• C, A, E, B, D

• C, E, A, B, D

• C, E, B, A, D

• C, E, D, A, B

Solve: −(3v + 1) + 7(6v + 6) = −37  

v = ?