Solving Equations with Variables on Both Sides and Distributing

Where is the first mistake?

• Subtracting 3 on both sides

• Distributing the 9

• Subtracting 9x on both sides

• Inequality error

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

-3(x - 2) = -8 +9b

• add 8 to both sides

• subtract 9b from both sides

• Distribute -3 to the x and -2

• add 2 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

Which statement best describes the first step to the equation?

• Add 3 to both sides

• Add 11 to both sides

• Get the variables on one side

• Add 2 to both sides

• -5
• -6
• 5
• 6

• 8
• 6
• 2
• 4

• 9
• 3
• 6
• 0

• -2
• -4
• 2
• 4

• A
• B
• C
• D

• A

• B

• C

• D