Quiz about Linear Equations/Functions Word Problems

Question 1

The sum of a number and 5 is multiplied by -3 and the answer is -24. Find the number.

Accepted Answer

-3

Answer

13

Answer

-13

Answer

3

Question 2

A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?

Accepted Answer

y=15x+80

Answer

y=15x

Answer

y=x+15

Answer

y=80x+15

Question 3

A camp charges families a fee of $625 per month for one child and a certain amount more per month for each additional child. Use the graph to write an equation in slope-intercept form to represent the amount a family with x additional children would pay.

Accepted Answer

y = 225x + 625

Answer

y = 625x + 225

Answer

y = 225x

Answer

y =  625

Question 4

Which of the following situations could be descried by the equation y= -25x + 120

Accepted Answer

There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute

Answer

There are 120 people in the football stadium, and 25 more are entering each hour.

Answer

A plumber charges $25 for a house call and $120 per hour.

Answer

A teacher has 120 students. Her third period has 25 students

Question 5

Bob's Plumbing charges $15 per hour plus a service fee of $40 for coming out to your house. Which equation models this situation?

Accepted Answer

y = 15x + 40

Answer

y = 40x + 15

Answer

y = 15x

Answer

y = 15x - 40

Question 6

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 7

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 8

The rental rate at Rent A Wreck is $30 per day plus $0.25 per mile driven.

How much would a 100 mile rental cost?

Accepted Answer

$55

Answer

$45

Answer

$23

Answer

$100

Question 9

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 10

In order to join a dancing club, there is a $30 startup fee and a $4 monthly fee. Write an equation in slope-intercept form that models this situation. After how many months will the total cost be $58?

Accepted Answer

7 months

Answer

6 months

Answer

5 months

Answer

4 months

Question 11

Write an linear equation to model the following:
You want to buy desserts, ice-cream is $2.50 per scoop and puppychow is $4 per bag and you want to spend $20.

Accepted Answer

2.50x+4y=20

Answer

y=2.50x+4

Answer

y=4x+2.5

Question 12

Sam ordered 4 tacos and 5 enchiladas for lunch at the restaurant. His bill came to $10.80. Which equation matches the given situation?

Accepted Answer

4x + 5y = 10.80

Answer

4x + 3y = 8.10

Answer

4x - 5y = 10.80

Answer

4x + 10.80y = 5

Question 13

A holiday meal costs $12.50 a person plus a delivery fee of $30.  Which equation represents the amount a holiday meal costs, including delivery, for x people?

Accepted Answer

y = 30 + 12.5x

Answer

y = 12.5 + 30

Answer

y = 12.5 + 30x

Question 14

You and your friends plan to attend the county fair this weekend.  Admission to the fair is $5 and the cost per ride is $0.50.  How many rides can you go on if you have $20?

Accepted Answer

30 rides

Answer

20 rides

Answer

40 rides

Answer

50 rides

Question 15

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 16

A man is climbing down from 100 feet high descending 30 feet per minute.

Accepted Answer

y = - 30x + 100

Answer

y = 100 + 30x

Answer

y = 100x + 30

Answer

y = 100x - 30

Question 17

A sign says that 3 tickets cost $22.50 and that 7 tickets cost $52.50. Which equations in point-slope form would represents the cost of tickets? Select all that apply.

Accepted Answer

y - 22.50 = 7.50(x - 3)

Accepted Answer

y - 52.50 = 7.50(x - 7)

Answer

y = 7.50x

Answer

y + 22.50 = 7.50(x + 3)

Question 18

You and your friends go to the movies and purchase some popcorn and Pepsi. Popcorn is sold for $4.99 per bag and Pepsi is sold for $1.99 per bottle. You each chip in to pay $24.92. Write an equation to represent the given situation.

Accepted Answer

1.99x + 4.99y = 24.92

Answer

y = 1.99x + 4.99

Answer

y = 4.99x + 24.92

Answer

y - 1.99 = 4.99(x - 24.92)

Question 19

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

Which of the following equations matches the situation?

Accepted Answer

y = 0.75x + 3

Answer

0.75x + 3y = 50

Answer

y = 3x + 0.75

Answer

3x + 0.75y = 50

Answer

50 = -0.75x + y

Question 20

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

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