Quiz about Applications of Equations

Question 1

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?

Accepted Answer

20 watches

Answer

2 watches

Answer

30 watches

Answer

300 watches

Question 2

A machine prints 230 movie posters each hour.

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

Accepted Answer

5.5 hours

Answer

10 hours

Answer

230 hours

Answer

1035 hours

Question 3

Solve an equation to find the unknown number.

The sum of twice a number and 13 is 75.

Accepted Answer

The number is 31.

Answer

The number is 24.5.

Answer

The number is 44.

Answer

The number is 62.

Question 4

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 checking account after x weeks.

Accepted Answer

50 + 10x

Answer

25 + x

Answer

50 + x

Answer

25 + 5x

Question 5

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.

After how many weeks is the amount in checking twice the amount in savings?

Accepted Answer

The amount in checking is always twice the amount in savings

Answer

After 1 week

Answer

After 2 weeks

Answer

The amount in checking will never be twice the amount in savings.

Question 6

Using the diagram, write an expression to represent the route from your home to the store that passes the beach.

Accepted Answer

3x + 4

Answer

3x

Answer

3x + 3

Answer

4x + 4

Question 7

Using the diagram, write an expression to represent the route from your home to the store that passes the park.

Accepted Answer

5x

Answer

4x + 1

Answer

4x + 5

Answer

5x + 2

Question 8

From your home, the route to the store that passes the beach is 2 miles shorter than the route to the store that passes the park. What is the length of each route?

Accepted Answer

The route past the beach is 13 miles while the route past the park is 15 miles.

Answer

The route past the beach is 3 miles while the route past the park is 5 miles.

Answer

The route past the beach is 9 miles while the route past the park is 11 miles.

Answer

The route past the beach is 15 miles while the route past the park is 17 miles.

Question 9

During the summer, you work 30 hours per week at a gas station and earn $8.75 per hour. You also work as a landscaper for $11 per hour and can work as many hours as you want. You want to earn a total of $400 per week.

Write an equation that represents the numbers of hours worked as a landscaper to earn your desired $400.

Accepted Answer

30(8.75) + 11h = 400

Answer

30 + 8.75 + 11 + h = 400

Answer

30(11) + 8.75h = 400

Answer

30 + 11h = 400

Question 10

During the summer, you work 30 hours per week at a gas station and earn $8.75 per hour. You also work as a landscaper for $11 per hour and can work as many hours as you want. You want to earn a total of $400 per week.

Solve an equation to find how many hours must you work as a landscaper to earn your desired $400.

Accepted Answer

12.5 hours

Answer

20 hours

Answer

40 hours

Answer

45 hours

Question 11

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.

Accepted Answer

11 months

Answer

2 months

Answer

9 months

Answer

12 months

Applications of Equations

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