Solving Linear Equations with Unknowns on One and Both Sides

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. Use a T-chart.

6(4x+2)= 3(8x+4)

• All Real Numbers

• No Solution

• 12

• 6

Solve. Use a T-chart. 
-2(2f-4)= -4(-f +2)

• 2

• 16

• -8

• No Solution

Solve. Use a T-chart. 
-5(x+7)=-5x+35

• No Solution

• Identity 

• -35

• 7

Solve. Use a T-chart.

-x-11 = 2x+4

• -5

• 3

• All Real Numbers

• 5

Solve. Use a T-chart. 
5p + 6= 4p-8

• 14

• 14/9

• 3

• -14

Solve. Use a T-chart. 
-2m+13=2m-3

• 4

• No Solution

• -4

• 2

Solve. Use a T-chart.
-x -11= 2x+4

• -5

• 10

• -15

• 15

Solve. Use a T-chart.

22(g-1)=2g+8

• 1.5

• All Real Numbers

• 11

• 22

Solve. Use a T-chart. 
-(4y-8) = 2(y+4)

• 0

• No Solution

• 6

• -2