Application Equations

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

Select the situation that could be modeled by: 120 + 25x = 45x.

• John bought a car radio for $120 and speakers for $25 each. Joe bought a radio for $45. They each paid the same. How much did they spend?

• George charges a flat fee of $120 to mow a lawn plus $25 per hour. Greg charges $45 an hour to mow a lawn. After how many hours do they make the same amount?

• Lisa pays $120 for each purse she buys plus an additional $25 each to have them personalized. Lauren pays $45 for each purse she buys. How many purses must they buy for the amount they spent to be the same?

Joe's Canoes charges an initial fee of $20 plus $4 an hour. Callie's Canoes charges a flat rate of $14 an hour. Choose the equation that would find the number of hours that the total for both places would charge the same.

• 4x + 20 = 14x

• 24x = 14x

• 4x - 20 = 14x

• 20 + 4x = 14

You pay $45 per month for cable TV. Your friend buys a satellite TV receiver for $99 and pays $36 per month for satellite TV.

Your friend claims that the expenses for a year of satellite TV are less than the expenses for a year of cable.

Solve an equation to determine when you and your friend will have paid the same amount for TV service.

• 2 months

• 9 months

• 11 months

• 12 months

The cost C (in dollars) of making n watches is represented by

C =15n + 85.

How many watches are made when the cost is $385?

• 2 watches

• 20 watches

• 30 watches

• 300 watches

A machine prints 230 movie posters each hour. Write an equation to find the number of hours it takes the machine to print 1265 posters.

• 230 + h = 1265

• 1265 – h = 230

• 230h = 1265

• 230 / h = 1265

A machine prints 230 movie posters each hour.

Solve an equation to find the number of hours it takes to print 1265 posters.

• 5.5 hours

• 10 hours

• 230 hours

• 1035 hours

Write an equation to represent the situation.

The sum of twice a number and 13 is 75.

• 2(x + 13) = 75

• 2x + 13 = 75

• 2x – 13 = 75

• 13(2 + x) = 75

Solve an equation to find the unknown number.

The sum of twice a number and 13 is 75.

• The number is 24.5.

• The number is 31.

• The number is 44.

• The number is 62.

You begin with $25 in a savings account and $50 in a checking account. Each week you deposit $5 into savings and $10 into checking.

Write an expression to represent the amount in your savings account after x weeks.

• 25 + x

• 25 – x

• 25 + 5x

• 25 – 5x