Quiz about Solve Linear Equations Word Problems

Question 1

Jacob collects hats.  He has 6 hats already, and he collects 2 hats a week.

Accepted Answer

y = 2x + 6

Answer

y = 6x + 2

Answer

y = 2x - 6

Answer

y = 6x - 2

Question 2

At Joe's Clown Car Rental Agency, renting a car costs $35 plus $0.75 for every mile it is driven.

Accepted Answer

y = 0.75x + 35

Answer

y = x(35 + 0.75)

Answer

y = 35x + 0.75

Answer

y = 0.75(x + 35)

Question 3

The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage.  If Juanita uses x minutes of airtime, what is an equation that can be used to determine her monthly cell phone bill (C)?

Accepted Answer

C = 0.20x + 15

Answer

C =15 (0.20x)

Answer

C = 15 + x + 0.20

Answer

C = 0.20 + 15x

Question 4

Bob has $150 in his savings account and saves $40 per month.

Accepted Answer

y = 40x + 150

Answer

y = 150 + 40

Answer

y = 150x + 40

Question 5

Write an expression for the following. Jerry has $20 and makes $7 per hour.

Accepted Answer

y = 7x + 20

Answer

y = 7 + 20x

Answer

y = 20 + 7

Answer

y = 20x + 7x

Question 6

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

Accepted Answer

y = 100 - 30x

Answer

y = 100 + 30x

Answer

y = 100x + 30

Answer

y = 100x - 30

Question 7

An internet company charges a $100 set up fee, and then they charge $35 a month after that.  What is the rate of change?

Accepted Answer

$35

Answer

$100

Answer

$135

Answer

$65

Question 8

An internet company charges a $100 set up fee, and then they charge $35 a month after that.  What is the slope?

Accepted Answer

$35

Answer

$100

Answer

$135

Answer

$65

Question 9

Daniel is paid $10 per week for selling newspaper subscriptions.  He is also paid $3.50 for each new customer (x) that signs up for the subscription.  Which equation represents the amount (y) Daniel earns  per week?

Accepted Answer

y = 10 + 3.5x

Answer

y = 3.5x

Answer

y= 10 + x

Answer

y = 10 + 35x

Question 10

If one restaurant pays their employees $20 every night and an additional $3 per table they serve, and another restaurant pays their employees $28 every night with an additional $2 per table they serve, determine how many tables you must serve at each restaurant in order to receive the SAME amount of pay.

Accepted Answer

8 tables

Answer

12 tables

Answer

About 10 tables

Question 11

You go to a jewelry store to buy a charm bracelet. You can only spend $65. Each charm costs $25 and the charm bracelet costs $15 dollars. How many charms can you buy?

Accepted Answer

2 charms

Answer

1 charm

Answer

3 charms

Question 12

At Gamestop you can buy a Xbox One for $150.00 and each game to go with it would cost $24.00. Or, you can buy a Playstation 4 for $180.00 and each game for $20.00. Write an equation to determine how many games would need to be purchased for the cost to be equal?

Accepted Answer

150 + 24x = 180 + 20x

Answer

150x + 24 = 180 + 20x

Answer

180 - 150 = 24 x + 20x

Answer

150 - 24x = 180 - 20x

Question 13

Anjali had $20 to spend on 2 pens. After buying them she had $16. How much di each pen cost?

Accepted Answer

2

Answer

18

Answer

20

Answer

4

Question 14

Justin is purchasing a new iPhone.  The sales clerk says that if he pays $100 now his monthly payments will be $25 and his total cost will be $600.  Which equation can be used to determine how many months Justin will be paying for his phone?

Accepted Answer

25x + 100 = 600

Answer

25x - 100 = 600

Answer

600 - 100x = 25

Answer

600 + 25x = 100

Question 15

A gymnastics center charges a $60 registration fee and $15 per class. Olivia registers to take a class and pays a total of $210. Which equation can be used to determine how many classes Olivia signed up for?

Accepted Answer

15x + 60 = 210

Answer

60 - 15x = 210

Answer

15x - 60 = 210

Answer

210 + 15x = 60

Question 16

The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage.  If Juanita uses x minutes of airtime, what is an equation that can be used to determine her monthly cell phone bill (C)?

Accepted Answer

C = 0.20x + 15

Answer

C =15 (0.20x)

Answer

C = 15 + x + 0.20

Answer

C = 0.20 + 15x

Question 17

An internet company charges a $100 set up fee, and then they charge $35 a month after that.  What is the y-intercept?

Accepted Answer

$100

Answer

$35

Answer

$135

Answer

$65

Question 18

An internet company charges a $100 set up fee, and then they charge $35 a month after that.  What is the rate of change?

Accepted Answer

$35

Answer

$100

Answer

$135

Answer

$65

Question 19

An internet company charges a $100 set up fee, and then they charge $35 a month after that.  What is the slope?

Accepted Answer

$35

Answer

$100

Answer

$135

Answer

$65

Question 20

Mary earns $14 per hour. Which equation represents how many hours she worked to earn $112?

Accepted Answer

14h = 112

Answer

14 / h = 112

Answer

h + 14 = 112

Answer

h - 14 = 112

Question 21

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

Answer

y = 50x + 8

Question 22

For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitting.

Accepted Answer

C = 5h + 3

Answer

C = 3h + 5

Answer

H = 5c + 3

Answer

H = 3c + 5

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