Quiz about Linear Function Word Problems

Question 1

The local service center advertises that it charges a flat fee of $50 plus $8 per mile to tow a vehicle. Write an equation that represents the total cost (C) of a service for m miles of towing.

Accepted Answer

C = 8m + 50

Answer

y = 8x + 50

Answer

C = 50m +8

Answer

y = 50x + 8

Question 2

A plumber charges $50 to make a house call. He also charges $25 per hour for labor.

How much would it cost for 2.5 hours of labor?

Accepted Answer

$112.50

Answer

$100

Answer

4.50

Answer

$65.00

Answer

$123.45

Question 3

Your new job is at the Custom T Shop, where T Shirts are printed to order. For each order, Custom T Shop charges $8 per shirt plus a one time set up fee of $15, represented by the equation y=8x+15

How much would 50 shirts cost?

Accepted Answer

y= 415

Answer

y= 40

Answer

y= 400

Answer

y= 65

Answer

y= 390

Question 4

A 100-point test has x questions worth 2 points apiece and y questions worth 4 points apiece.

If you have 24 questions worth 4 points apiece, how many questions will be worth 2 points apiece?

Accepted Answer

2

Answer

24

Answer

5

Answer

0

Question 5

You are selling drinks at the carnival to raise money. You sell lemonade for $2 per cup and orange drinks for $3 per cup. Your sales totaled $240. Let x be the number of cups of lemonade and y be the number of orange drinks.

Write an equation to represent the situation

Write an equation to represent the situation

Accepted Answer

2x + 3y = 240

Answer

2x - 3y = 240

Answer

3y - 2x = 240

Answer

2 + 3 = 240

Question 6

You are selling drinks at the carnival to raise money. You sell lemonade for $2 per cup and orange drinks for $3 per cup. Your sales totaled $240. Let x be the number of cups of lemonade and y be the number of orange drinks.

Write an equation to represent the situation

If you sold 60 cups of lemonade, how many cups of orange drink did you sell?

Accepted Answer

40

Answer

60

Answer

10

Answer

120

Question 7

Carson owes the bank money. To repay his debt, he paid $200 back to the bank each month interest free. After 9 months, his remaining debt was $18,000.
What was the original amount of Carson's Debt?

Accepted Answer

$19,800

Answer

$18.200

Answer

$18,000

Answer

$16,200

Question 8

Carson owes the bank money. To repay his debt, he paid $200 back to the bank each month interest free. After 9 months, his remaining debt was $18,000.
How long did it take Carson to pay back his entire debt?

Accepted Answer

99 months

Answer

9 months

Answer

90 months

Answer

81 months

Question 9

The drama club sold tickets to a play for $5 each.  They also made $55 in soda and popcorn sales.  If the drama club made a total of $290, how many tickets were sold?

Accepted Answer

47

Answer

58

Answer

69

Answer

113

Question 10

Jenny went to the sale at Kohl's last weekend.
T-shirts were on sale for $15 each and hoodies were on sale for $20 each. If she spent $150 total, write an equation to represent this situation.

Accepted Answer

15x + 20y = 150

Answer

20x + 15 = y

Answer

35x = y

Answer

150 - 20x = 15y

Question 11

A zoo keeper thinks there is a problem with the Mole-Rat population at the zoo. He starts keeping track of the animals in the tunnels. 7 days into his monitoring he counts 120 mole rats, 13 days in he counts 108.
_{How many rats will there be in 67 days?}

Accepted Answer

0

Answer

67

Answer

13

Answer

-12

Question 12

There is a daily fee for renting a moving truck, plus a charge of $0.50 per mile driven.  If driven 48 miles, it costs $64 to rent a truck.  Find the daily fee.

Accepted Answer

$40

Answer

$53

Answer

$37

Answer

$42

Question 13

A road side vegetable stand sells pumpkins for $5 and tomatoes for $3. The total sales for one day was $98.
_{If they sold 10 pumpkins, find how many tomatoes they sold.}

Accepted Answer

16

Answer

12

Answer

22

Answer

25

Question 14

The start up cost to join eTunes music is $7.95 plus $0.95 per song downloaded.  If Will spent $26, write and solve a linear equation to find how many songs he downloaded.

Accepted Answer

19 songs

Answer

32 songs

Answer

33 songs

Answer

36 songs

Question 15

At a pet store, it costs $5 to wash a cat and $7.50 to wash a dog.  Last week, the store made $60 from washing cats and dogs.  If 6 cats were washed, write and solve a linear equation to find how many dogs were washed.

Accepted Answer

4 dogs

Answer

2 dogs

Answer

3 dogs

Answer

not enough information

Question 16

Max's goal is to practice playing drums for 300 minutes this week.

On Sunday he practiced for 127 minutes. On Tuesday he practiced for 38 minutes.

How many more minutes does Max need to practice in order to meet his goal?

Accepted Answer

135

Answer

465

Answer

165

Answer

145

Question 17

All tickets for a concert are the same price. The ticket agency adds a fixed fee to every order. A person who orders 5 tickets pays $93. A person who orders 3 tickets pays $57. How much do 4 tickets cost?

Accepted Answer

75

Answer

3

Answer

18

Answer

30

Question 18

Suppose a 5-minute overseas call costs $5.91 and a 10-minute call costs $10.86. The cost of the call and the length of the call are related. The cost of each minute is constant. How long can you talk on the phone if you have $12 to spend?

Accepted Answer

11.2 minutes

Answer

12.8 minutes

Answer

8.8 minutes

Answer

21.8 minutes

Question 19

The math department sponsors a Math Family Fun Night each year. In the first year, there were 35 participants. In the third year, there were 57 participants.

How many participants are predicted for the 5^th year?

Accepted Answer

79

Answer

31

Answer

2

Answer

3

Question 20

While on vacation in Washington DC, the cab ride for the Dulles airport to the hotel is 15 miles. The total cost of the cab ride was $25.50. The cabbie charges $1.50 per mile for the entire trip.

How much does it cost to travel 7 miles in a cab?

Accepted Answer

13.50

Answer

42.75

Answer

7.50

Answer

63.75

Question 21

Marty is spending money at the average rate of $3 per day. After 14 days he has $68 left. The amount left depends on the number of days that have passed.

How much money does Marty have after 9 days?

Accepted Answer

83

Answer

1

Answer

273

Answer

219

Question 22

You are visiting Baltimore, MD and a taxi company charges a flat fee of $3.00 for using the taxi and $0.75 per mile.

If a taxi ride cost $15, how many miles did the taxi travel?

Accepted Answer

16

Answer

14.25

Answer

20

Answer

18.25

Question 23

In a supermarket, apples cost $0.50 each, and grapefruits cost $2 each. If you want to spend exactly $15 at the supermarket, and need 7 grapefruit. How many apples could you purchase?

Accepted Answer

2

Answer

7

Answer

10

Answer

5

Linear Function Word Problems

23 questions

The local service center advertises that it charges a flat fee of $50 plus $8 per mile to tow a vehicle. Write an equation that represents the total cost (C) of a service for m miles of towing.

A plumber charges $50 to make a house call. He also charges $25 per hour for labor.

How much would it cost for 2.5 hours of labor?

Your new job is at the Custom T Shop, where T Shirts are printed to order. For each order, Custom T Shop charges $8 per shirt plus a one time set up fee of $15, represented by the equation y=8x+15

How much would 50 shirts cost?

A 100-point test has x questions worth 2 points apiece and y questions worth 4 points apiece.

If you have 24 questions worth 4 points apiece, how many questions will be worth 2 points apiece?

You are selling drinks at the carnival to raise money. You sell lemonade for $2 per cup and orange drinks for $3 per cup. Your sales totaled $240. Let x be the number of cups of lemonade and y be the number of orange drinks.

Write an equation to represent the situation

Carson owes the bank money. To repay his debt, he paid $200 back to the bank each month interest free. After 9 months, his remaining debt was $18,000.
What was the original amount of Carson's Debt?

Carson owes the bank money. To repay his debt, he paid $200 back to the bank each month interest free. After 9 months, his remaining debt was $18,000.
How long did it take Carson to pay back his entire debt?

The drama club sold tickets to a play for $5 each. They also made $55 in soda and popcorn sales. If the drama club made a total of $290, how many tickets were sold?

Jenny went to the sale at Kohl's last weekend.
T-shirts were on sale for $15 each and hoodies were on sale for $20 each. If she spent $150 total, write an equation to represent this situation.

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Linear Function Word Problems

23 questions

The local service center advertises that it charges a flat fee of $50 plus $8 per mile to tow a vehicle. Write an equation that represents the total cost (C) of a service for m miles of towing.

A plumber charges $50 to make a house call. He also charges $25 per hour for labor.How much would it cost for 2.5 hours of labor?

Your new job is at the Custom T Shop, where T Shirts are printed to order. For each order, Custom T Shop charges $8 per shirt plus a one time set up fee of $15, represented by the equation y=8x+15How much would 50 shirts cost?

A 100-point test has x questions worth 2 points apiece and y questions worth 4 points apiece.If you have 24 questions worth 4 points apiece, how many questions will be worth 2 points apiece?

You are selling drinks at the carnival to raise money. You sell lemonade for $2 per cup and orange drinks for $3 per cup. Your sales totaled $240. Let x be the number of cups of lemonade and y be the number of orange drinks.Write an equation to represent the situation

Carson owes the bank money. To repay his debt, he paid $200 back to the bank each month interest free. After 9 months, his remaining debt was $18,000.What was the original amount of Carson's Debt?

Carson owes the bank money. To repay his debt, he paid $200 back to the bank each month interest free. After 9 months, his remaining debt was $18,000.How long did it take Carson to pay back his entire debt?

The drama club sold tickets to a play for $5 each. They also made $55 in soda and popcorn sales. If the drama club made a total of $290, how many tickets were sold?

Jenny went to the sale at Kohl's last weekend. T-shirts were on sale for $15 each and hoodies were on sale for $20 each. If she spent $150 total, write an equation to represent this situation.

Create a free account and access millions of resources

Similar Resources on Wayground

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Discover more resources for Mathematics

A plumber charges $50 to make a house call. He also charges $25 per hour for labor.

How much would it cost for 2.5 hours of labor?

Your new job is at the Custom T Shop, where T Shirts are printed to order. For each order, Custom T Shop charges $8 per shirt plus a one time set up fee of $15, represented by the equation y=8x+15

How much would 50 shirts cost?

A 100-point test has x questions worth 2 points apiece and y questions worth 4 points apiece.

If you have 24 questions worth 4 points apiece, how many questions will be worth 2 points apiece?

You are selling drinks at the carnival to raise money. You sell lemonade for $2 per cup and orange drinks for $3 per cup. Your sales totaled $240. Let x be the number of cups of lemonade and y be the number of orange drinks.

Write an equation to represent the situation

Carson owes the bank money. To repay his debt, he paid $200 back to the bank each month interest free. After 9 months, his remaining debt was $18,000.
What was the original amount of Carson's Debt?

Carson owes the bank money. To repay his debt, he paid $200 back to the bank each month interest free. After 9 months, his remaining debt was $18,000.
How long did it take Carson to pay back his entire debt?

Jenny went to the sale at Kohl's last weekend.
T-shirts were on sale for $15 each and hoodies were on sale for $20 each. If she spent $150 total, write an equation to represent this situation.