Real-Life Linear Equations: Solve & Graph for Grade 8

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

• $120

• $30

• $60

• $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. How many students can go if the budget is fully utilized?

• 25

• 20

• 15

• 30

A gardener is planting flowers in a rectangular garden. The length of the garden is 3 feet longer than twice the width. Write the equation in standard form if the width is represented by w. If the width is 4 feet, what is the length?

• 11 feet

• 8 feet

• 12 feet

• 10 feet

A bookstore sells notebooks for $2 each and pens for $1 each. If a student buys a total of 10 items and spends $16, write a linear equation in standard form to represent the situation. How many notebooks did the student buy?

• 6

• 5

• 8

• 4

A taxi company charges a base fare of $5 plus $1.50 per mile. Write the equation in standard form to represent the total fare (F) in terms of miles driven (d). If a passenger pays $20, how many miles did they travel?

• 15 miles

• 5 miles

• 8 miles

• 10 miles

A factory produces two types of toys: action figures and dolls. The factory can produce a total of 200 toys in a day. If the number of action figures produced is represented by a and the number of dolls by d, write the equation in standard form. If 120 action figures are made, how many dolls are produced?

• 90

• 80

• 100

• 60

A concert hall has a seating capacity of 800. If the number of VIP seats (v) is 200, write the equation in standard form to represent the remaining general seating (g). How many general seats are available?

• 400

• 500

• 600

• 700

A local bakery sells cupcakes for $3 each and cookies for $2 each. If a customer buys a total of 15 items and spends $36, write a linear equation in standard form to represent the situation. How many cupcakes did the customer buy?

• 10

• 6

• 8

• 4

A gym charges a monthly membership fee of $40 plus $5 for each class attended. Write the equation in standard form to represent the total cost (C) in terms of classes attended (c). If a member pays $70, how many classes did they attend?

• 10

• 8

• 4

• 6

A farmer has a total of 100 animals, consisting of cows and chickens. If the number of cows (c) is twice the number of chickens (h), write the equation in standard form. How many cows and chickens does the farmer have?

• Cows: 50, Chickens: 50

• Cows: 67, Chickens: 33

• Cows: 40, Chickens: 60

• Cows: 80, Chickens: 20