Solving Equations Variable on Both Sides

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 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

What is the first step to solve this equation:
11 - 3x = 44

• Add 3 to both sides

• Subtract 11 from both sides

• Add 11 to both sides

• Divide 3 on 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

3 + 12(3p + 2) = 9(p - 3)

• -20

• -13

• -2

• -18

-10x - 135 = 117 + 2x

• 25

• -18

• -21

• 22

-7x - 36 = 20 -3x

• -12

• -14

• 15

• 8

The Frederick County Fair costs $15.00 to get in and $2.50 per ride, while the Montgomery County Fair costs $10.00 to get in and $3.00 per ride. Which equations could be used to determine how many rides you would need to go on for both fairs to be of equal value?

• 15x + 2.5 = 10x + 3

• 15 - 2.5x = 10 - 3x

• 15 + 2.5x = 10 + 3x

• 15 - 10 = 2.5x + 3x