Solving an Equation with Variables on Both Sides

WRITE AN EQUATION TO REPRESENT THE SITUATION

Peter and his friends are going to play putt-putt. At one location, they can pay $2.00 for rentals plus $7.50 per game. At another location, it would cost $8.00 for rentals plus $6.00 per game.

• 2 + 7.50x = 8 + 6x

• 2 - 7.50x = 8 - 6x

• 2x + 7.50 = 8x + 6

• 2x - 7.50x = 8 x- 6

Peter and his friends are going to play putt-putt. At one location, they can pay $2.00 for rentals plus $7.50 per game. At another location, it would cost $8.00 for rentals plus $6.00 per game. How many games would they have to play in order for either location to cost the same amount?

• 2 games

• 3 games

• 4 games

• 5 games

Shelby has $155 in savings, and her boyfriend George has $230. Shelby is saving $10 each week, and George is spending $15 each week.

• 155x - 10 = 230x + 15

• 155x + 10 = 230x – 15

• 155 - 10x = 230 + 15x

• 155 + 10x = 230 – 15x

Shelby has $155 in savings, and her boyfriend George has $230. Shelby is saving $10 each week, and George is spending $15 each week. After how many weeks will their savings accounts have the same amount of money in them?

• 8 weeks

• 7 weeks

• 4 weeks

• 3 weeks

WRITE AN EQUATION TO REPRESENT THE SITUATION

Kimberly takes the bus to work. The bus ride to work costs her $2.50 each time. She could buy a bus pass for a one-time fee of $15.00 and would then only pay $1.00 each time to ride the bus.

• 2.50 + x = 15x

• 2.50x = 15x + 1

• 2.50x = 15 + x

• 2.50x = 15x

Solve: 2(4x - 3) - 8 = 4 + 2x

• 5/3

• 3

• 1

• 2

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.

• 3 hours

• 4 hours

• 1 hour

• 2 hours

What is v?
-15v-40 = 23-8v

• v = 9

• v = -7

• v = -9

Solve: 5x - 14 = 8x + 4

• 6

• -6

• -18/13

• 10/3

Solve
1/2(s-12)= 1/4(s+ 16)

• s = -40

• s= 40

• s=20

• s= -20