Real-Life Inequalities: Solve and Graph Solutions

A store sells notebooks for $2 each. If you want to spend no more than $20, how many notebooks can you buy? Solve the inequality and graph it on a number line.

• 15

• 5

• 20

• 10

A class has a maximum capacity of 30 students. If there are currently 18 students enrolled, how many more can enroll? Write and solve the inequality, then graph it.

• 5

• 15

• 12

• 10

A concert hall can hold a maximum of 500 people. If 350 tickets have been sold, how many more tickets can be sold? Formulate the inequality, solve it, and represent it on a number line.

• 150

• 100

• 250

• 200

You need at least 75% on a test to pass. If the test has 40 questions, how many questions must you answer correctly? Set up the inequality, solve it, and graph the solution.

• 25

• 30

• 35

• 40

A gym charges a monthly fee of $30 plus $5 for each class attended. If you want to spend no more than $100 in a month, how many classes can you attend? Write the inequality, solve it, and graph it.

• 14

• 16

• 12

• 10

A farmer has 120 acres of land. He wants to plant corn and wheat, but he can plant no more than 80 acres of corn. If he plants x acres of corn, how many acres of wheat can he plant? Create the inequality, solve it, and graph it.

• Wheat can be planted in any amount up to 120 acres regardless of corn.

• Wheat can be planted in the range of 0 to 40 acres only.

• Wheat can only be planted if no corn is planted.

• Wheat can be planted in the range of 40 to 120 acres depending on the corn planted.

A school is planning a field trip and can take a maximum of 45 students. If 30 students have signed up, how many more can join? Write the inequality, solve it, and graph the solution on a number line.

• 25

• 10

• 20

• 15

A recipe requires at least 2 cups of sugar. If you have x cups of sugar, how much more do you need to meet the requirement? Set up the inequality, solve it, and graph it.

• y < 2 - x

• y = 2 + x

• y <= 2 - x

• y >= 2 - x

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If you want to spend no more than $100, how many miles can you drive? Write the inequality, solve it, and graph it.

• 300 miles

• 250 miles

• 200 miles

• 150 miles

A video game requires at least 8GB of RAM to run. If your computer has x GB of RAM, how much more do you need to meet the requirement? Formulate the inequality, solve it, and represent it on a number line.

• 8 * x GB of RAM needed to meet the requirement.

• 8 - x GB of RAM needed to meet the requirement.

• x - 8 GB of RAM needed to meet the requirement.

• 8 + x GB of RAM needed to meet the requirement.