8th Grade Linear Equations & Inequalities Challenge

A store sells pencils for $0.50 each. Write a linear equation to represent the total cost, C, for buying p pencils. How much would it cost to buy 12 pencils?

• $4.00

• $6.00

• $8.00

• $10.50

Maria has $20 to spend on notebooks that cost $3 each. Write an inequality to represent how many notebooks, n, she can buy. How many notebooks can she purchase at most?

• 6

• 10

• 4

• 8

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. Write a linear equation for the total cost, C, based on miles driven, m. How much would it cost to drive 100 miles?

• $70

• $50

• $60

• $40

A gym charges a monthly fee of $25 plus $5 for each class attended. Write a linear equation to represent the total cost, C, for attending c classes. If you attend 8 classes, what is your total cost?

• $65

• $80

• $50

• $75

The temperature in a freezer is set to -10 degrees Celsius. If the temperature rises by x degrees, write an inequality to show when the temperature is above 0 degrees. What is the maximum value of x?

• -5

• 15

• 10

• 5

A farmer has 50 apples and wants to pack them into bags containing 5 apples each. Write a linear equation to represent the number of bags, b, needed. How many bags will he need?

• 20

• 15

• 10

• 5

A concert hall has a seating capacity of 500. If tickets are sold for $20 each, write an inequality to represent the maximum revenue, R, that can be generated. What is the maximum revenue?

• $8,000

• $15,000

• $10,000

• $5,000

A school is planning a field trip and has a budget of $300. If each student pays $15, write an inequality to represent the number of students, s, that can attend. How many students can go on the trip?

• 20

• 30

• 25

• 15

A delivery service charges a base fee of $10 plus $2 for each package delivered. Write a linear equation for the total cost, C, based on the number of packages, p. What is the total cost for delivering 15 packages?

• $30

• $50

• 40

• $25

A recipe requires 2 cups of flour for every 3 cups of sugar. Write a linear equation to represent the relationship between flour, f, and sugar, s. If you use 6 cups of sugar, how many cups of flour do you need?

• 3 cups of flour

• 6 cups of flour

• 4 cups of flour

• 2 cups of flour