Combine Like Terms and Solve Equations

Which is the correct order in which to solve multi-step equations?

• Distribute

  Combine like terms

  Get the variable on one side by add or subtracting

  Divide or multiple

• Add or subtracting

  Distribute

  Combine like terms

  Divide or multiple

• Divide or multiple

  Add or subtracting

  Distribute

  Combine like terms

8v - 4(v + 8) = 8

• 2

• 10

• 4

• -4 

Solve

-19 = -8 (-4+a) - (2a+1)

• -1

• 14

• -5

• 5

Which step cannot be performed first when solving the equation 5 - 2(x - 7) = x + 1 + 3x

• Distributing -2 to (x - 7)

• Combining x and 3x

• 5 - 2

Solve:
5y + 34 = -2(-7y+1)

• y = -4

• y = 9

• y = 4

• y = 36/19

What is the first step you should take to solve this problem?

1 + 4n - 6n = 1 - 8n

• subtract 8n to both sides

• multiply 6n to both sides

• combine the like terms 4n + -6n

• add 1 to both sides

What is the error?

• Adding 2x to 3x

• Subtracting 5 from both sides

• Adding 2x to -2x

• Dividing by 5 on both sides

Solve: 5x + 15 = 10x - 40

• x = 10

• x = -10

• x = 11

• x = -11

Jacob solved the following equation using the steps shown.

Step 1 5x + 9 = 2x - 3

Step 2 3x + 9 = -3

Step 3 3x = -12

Step 4 x = -4

What operation did he perform to get from Step 1 to Step 2?

• Subtracted 2x from both sides of the equation

• Subtracted 9 from both sides of the equation

• Multiplied both sides of the equation by 3

• Added -3 to both sides of the equation