Solving Equations with Variables on Both Sides

-(8n - 2) = 3 + 10(1 - 3n)

• n = 1/2

• n = -1/2

• n = 2

A toy company spends $1500 per day for factory expenses plus $8 to make each teddy bear.  They sell the teddy bears for $12 a piece.  Which equation could be used to find the number of bears t the company has to sell in one day to equal its daily cost?

• 1500 + 8t = 12

• 12 + 8t = 1500

• 1500 + 8t = 12t

• 8t = 12t + 1500

Solve: 5x + 15 = 10x - 40

• x = 10

• x = -10

• x = 11

• x = -11

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

3x + 2(4x - 4) = 3

What is the solution to the equation?

• 4

• 3

• 2

• 1

9x - 4x - 5 = 10

• 3

• -3

• 1

• 3.5

Solve the equation

4x - 5x + 9 =5x - 9

• x = -3

• x = 9

• x = 3

• x = -9

Solve:
2x + 1 = 2x - 1

• No Solution

• x = 0

• Infinitely Many Solutions

Solve: 4x - 3 = 6x - 19

• x = -8

• x = 11

• x = -11

• x = 8

Solve: 12x + 1 = 6x - 47

• x = 6

• x = -7

• x = -8

• x = 9