Solving Real-Life Linear Equations for 8th Graders

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. Write a linear equation in standard form to represent the total cost (C) of renting a car for x miles. How much would it cost to drive 150 miles?

• $60

• $120

• $30

• $90

A school is planning a field trip and has a budget of $500. The cost per student is $25. Write a linear equation in standard form to represent the number of students (s) that can attend the trip. How many students can go if the school wants to spend exactly $500?

• 15

• 25

• 30

• 20

A gardener is planting flowers in a rectangular garden. The length of the garden is 3 feet longer than twice the width. Write a linear equation in standard form to represent the relationship between the length (L) and width (W) of the garden. If the width is 4 feet, what is the length?

• 11 feet

• 12 feet

• 10 feet

• 8 feet

A bookstore sells novels for $12 each and textbooks for $20 each. If a customer buys a total of 10 books for $180, write a linear equation in standard form to represent the number of novels (n) and textbooks (t) purchased. How many novels and textbooks did the customer buy?

• 4 novels and 6 textbooks

• 5 novels and 5 textbooks

• 3 novels and 7 textbooks

• 2 novels and 8 textbooks

A local gym charges a monthly membership fee of $40 plus $5 for each class attended. Write a linear equation in standard form to represent the total cost (C) for x classes. If a member attends 8 classes, what is the total cost?

• $100

• $60

• $80

• $40

A factory produces two types of toys: action figures and dolls. The factory produces a total of 200 toys each day. If the number of action figures produced is 50 more than the number of dolls, write a linear equation in standard form to represent the relationship between action figures (a) and dolls (d). How many of each type of toy are produced?

• 150 action figures and 50 dolls

• 200 action figures and 0 dolls

• 125 action figures and 75 dolls

• 100 action figures and 100 dolls

A pizza shop sells small pizzas for $8 and large pizzas for $12. If a customer spends $60 on pizzas and buys a total of 6 pizzas, write a linear equation in standard form to represent the number of small (s) and large (l) pizzas purchased. How many of each type did the customer buy?

• 5 small pizzas and 1 large pizza

• 3 small pizzas and 3 large pizzas

• 2 small pizzas and 4 large pizzas

• 4 small pizzas and 2 large pizzas

A concert hall has a seating capacity of 500. If the number of VIP seats is 100 more than the regular seats, write a linear equation in standard form to represent the relationship between VIP seats (v) and regular seats (r). How many VIP and regular seats are there?

• VIP seats: 150, Regular seats: 350

• VIP seats: 300, Regular seats: 200

• VIP seats: 400, Regular seats: 100

• VIP seats: 250, Regular seats: 250

A farmer has a total of 120 animals, consisting of cows and chickens. If there are 20 more chickens than cows, write a linear equation in standard form to represent the number of cows (c) and chickens (h). How many cows and chickens does the farmer have?

• Cows: 50, Chickens: 70

• Cows: 60, Chickens: 40

• Cows: 40, Chickens: 80

• Cows: 30, Chickens: 90

A company produces two products, A and B. The total production is 300 units, and the production of product A is twice that of product B. Write a linear equation in standard form to represent the relationship between products A (a) and B (b). How many units of each product are produced?

• Product A: 100 units, Product B: 200 units

• Product A: 200 units, Product B: 100 units

• Product A: 250 units, Product B: 50 units

• Product A: 150 units, Product B: 150 units