Classwork - Equations with variables on both sides

7w + 5 = 3w - 15

• 5
• -2
• 2
• -5

Solve the equation:
7x - 4 = 3 + 8x

• x = 7
• x = -7
• x = 2/7
• x = 11

2c - 12 = 9c + 2

• 14
• 2
• -2

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

What is the next step you should take?

1 + 4n = 10 - 14n

• Collect the variables (letters) to the left

• add 1 from both sides

• subtract 14n to both sides

What is the final answer to

10 + 2n = 8n - 2n + 10 ?

• 12

• 5

• 0

• -15

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

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 for x:

2x - 5 = 3x + 4

• x = 6

• x = -9

• x = -18/13

• x = 10/3

13y - 18 = -5y + 36

• y = 3

• y = -3

• y= 9

• y = -9