Combine Like Terms and Two-Step Equations

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

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

Solve: 5x + 15 = 10x - 40

• x = 10

• x = -10

• x = 11

• x = -11

What is the error?

• Adding 2x to 3x

• Subtracting 5 from both sides

• Adding 2x to -2x

• Dividing by 5 on both sides

-15 = 5a +12- 2a + 6

• -11

• -3

• 10

• 7

Is 7 a solution to the equation?

3x+8-x = 5x-4

• yes

• maybe

• no

What is the second step in solving multi-step equations?

• Distribution (if necessary)

• Combine Like terms

• Move Variable

• Solve! With SADMEP

22 + 2a = 37 + 6 + a

• 21

• -21

• 5

• 6

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

• x = 7

• x = 1

• x = -1

• x = -3