Solving Real-Life Linear Equations: Word Problems for 8th Graders

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

• 50

• 80

• 100

• 60

A school is planning a field trip and has a budget of $500. The cost per student is $15. Write an equation in standard form to represent the number of students (s) that can go on the trip. How many students can attend if the budget is fully utilized?

• 25

• 40

• 15

• 33

A gardener is planting flowers in a rectangular garden. The length of the garden is twice the width. If the total area of the garden is 200 square feet, write an equation in standard form to represent the relationship between the length (l) and width (w). What are the dimensions of the garden?

• Length: 20 feet, Width: 10 feet

• Length: 15 feet, Width: 15 feet

• Length: 30 feet, Width: 5 feet

• Length: 25 feet, Width: 8 feet

A bookstore sells novels for $12 each and textbooks for $25 each. If a customer spends a total of $200, write an equation in standard form to represent the number of novels (n) and textbooks (t) purchased. How many of each type of book can be bought if 5 textbooks are purchased?

• 8 novels and 5 textbooks

• 4 novels and 5 textbooks

• 6 novels and 5 textbooks

• 10 novels and 5 textbooks

A local gym charges a monthly membership fee of $40 plus $10 for each class attended. Write an equation in standard form to represent the total cost (C) for attending x classes in a month. What is the total cost if a member attends 8 classes?

• $80

• $100

• $140

• $120

A factory produces 500 units of a product each day. If the production increases by 50 units each day, write an equation in standard form to represent the total production (P) after d days. How many units will be produced after 10 days?

• 7750

• 6000

• 8500

• 7000

A concert hall has a seating capacity of 1,200. If tickets are sold for $20 each, write an equation in standard form to represent the total revenue (R) generated from selling t tickets. What is the total revenue if 800 tickets are sold?

• $12,000

• $16,000

• $8,000

• $20,000

A delivery service charges a base fee of $15 plus $0.50 per mile. Write an equation in standard form to represent the total charge (C) for delivering x miles. How much would it cost to deliver a package 100 miles?

• $80

• $50

• $100

• $65

A farmer has a total of 300 apples and oranges. If the number of apples is three times the number of oranges, write an equation in standard form to represent the relationship between the number of apples (a) and oranges (o). How many apples and oranges does the farmer have?

• 150 apples and 150 oranges

• 225 apples and 75 oranges

• 100 apples and 200 oranges

• 300 apples and 0 oranges

A movie theater sells tickets for $10 each and popcorn for $5 each. If a family spends a total of $50 on tickets and popcorn, write an equation in standard form to represent the number of tickets (t) and popcorn (p) purchased. How many tickets and popcorn can they buy if they purchase 2 popcorn?

• 4 tickets and 2 popcorn

• 5 tickets and 1 popcorn

• 2 tickets and 4 popcorn

• 3 tickets and 3 popcorn