Solving Equations with Variables on Both Sides

Front

Solve for x:
5x - 14 = 8x + 4

Back

x = -6

Front

Solve: -3x + 20 = 2x - 40

Back

x = 12

Front

14x + 16 = 13x - 42

Back

x = -58

Front

Solve: 4x - 3 = 6x - 19

Back

x = 8

Front

Solve: 5 + 12x = 5x + 47

Back

x = 6

Front

Solve: -4x + 1 = 6x + 71

Back

x = -7

Front

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.

Back

2 hours

Front

3x + 16 = 7x + 64

Back

x = -12

Front

Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 plus $1 per hour. For how many hours is the total fee charged by the companies the same? Options: 2 hours, 3 hours, 4 hours, 5 hours

Back

3 hours

Front

I can join video club A for $25.00 and rent videos for $1.00 each. Or, I can join video club B for $15.00 and rent videos for $2.00 each. If I were to rent 6 videos which club would be the better deal? How much would I spend?

Back

B; $27