Linear Equations and Word Problems for 8th Graders

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. Write a linear equation to represent the total cost (C) in terms of miles driven (m). What is the cost if you drive 150 miles?

• $60

• $30

• $120

• $90

A gym charges a monthly membership fee of $25 plus $10 for each fitness class attended. Write a linear equation for the total cost (C) based on the number of classes (c) attended. How much would it cost to attend 5 classes?

• $75

• $50

• $60

• $100

A phone plan costs $40 per month plus $0.10 for each text message sent. Create a linear equation to represent the total cost (C) based on the number of text messages (t) sent. What is the total cost if you send 200 messages?

• $80

• $40

• $60

• $100

A bakery sells cupcakes for $3 each and charges a $5 box fee. Write a linear equation for the total cost (C) of buying (x) cupcakes. How much would it cost to buy 12 cupcakes?

• $41

• $25

• $50

• $30

A delivery service charges a base fee of $15 plus $2 for each mile driven. Write a linear equation for the total delivery cost (D) based on the distance (d) in miles. What is the cost for a delivery of 10 miles?

• $50

• $40

• $25

• $35

A concert ticket costs $50 plus a $5 service fee. Write a linear equation for the total cost (C) of buying (n) tickets. How much would it cost to buy 4 tickets?

• $200

• $220

• $180

• $250

A landscaping company charges a flat rate of $100 plus $25 for each hour of work. Write a linear equation for the total cost (C) based on the number of hours (h) worked. What is the total cost for 3 hours of work?

• $200

• $125

• $150

• The total cost for 3 hours of work is $175.

A subscription service charges $15 per month plus $2 for each additional movie rented. Write a linear equation for the total cost (C) based on the number of movies (m) rented. How much would it cost to rent 8 movies?

• $31

• $25

• $20

• $40

A taxi service charges a base fare of $3 plus $1.50 for each mile traveled. Write a linear equation for the total fare (F) based on the distance (d) in miles. What is the fare for a 5-mile trip?

• $10.50

• $8.00

• $12.00

• $15.50

A school is selling tickets for a play at $10 each, with a $2 processing fee. Write a linear equation for the total cost (C) of buying (n) tickets. How much would it cost to buy 6 tickets?

• $40

• $50

• $62

• $70