Solving & Graphing Multi-Step Inequalities: Grade 8 Quiz

1. Sarah has $50 to spend on books. Each book costs $8. If she wants to buy at least 3 books, how much money will she have left? Solve the inequality and graph it on a number line.

• Sarah will have $18 left if she buys 3 books.

• Sarah will have $10 left if she buys 3 books.

• Sarah will have $34 left if she buys 3 books.

• Sarah will have $26 left if she buys 3 books.

2. A school is planning a field trip and needs to raise at least $300. If each student contributes $15, how many students need to participate? Solve the inequality and represent it on a number line.

• 30

• 15

• 25

• 20

3. A gym charges a $20 membership fee plus $5 per class. If a member wants to spend no more than $100 in a month, how many classes can they attend? Solve the inequality and graph it on a number line.

• 20

• 12

• 10

• 16

4. A car rental company charges a flat fee of $30 plus $0.25 per mile driven. If a customer wants to spend no more than $60, how many miles can they drive? Solve the inequality and represent it on a number line.

• 80 miles

• 120 miles

• 150 miles

• 100 miles

5. Emily is saving money for a new bike that costs $150. If she saves $20 each week, how many weeks will it take her to save enough? Solve the inequality and graph it on a number line.

• 6 weeks

• 10 weeks

• 8 weeks

• 12 weeks

6. A concert hall has a seating capacity of 500. If each ticket costs $25 and they want to make at least $10,000 from ticket sales, how many tickets must they sell? Solve the inequality and represent it on a number line.

• 400

• 300

• 450

• 500

7. A recipe requires at least 2 cups of flour and 1 cup of sugar. If each cup of flour costs $3 and each cup of sugar costs $2, how much can you spend if you want to make at least 5 batches? Solve the inequality and graph it on a number line.

• $50

• $30

• $40

• $25

8. A store is having a sale where you can buy 3 shirts for $45. If you want to spend no more than $90, how many shirts can you buy? Solve the inequality and represent it on a number line.

• 5 shirts

• 4 shirts

• 6 shirts

• 7 shirts

9. A gardener needs at least 10 bags of soil for a project. If each bag costs $4, how much can they spend if they want to keep their total cost under $50? Solve the inequality and graph it on a number line.

• The gardener can spend up to $60.

• The gardener can spend up to $50.

• The gardener can spend up to $30.

• The gardener can spend up to $40.

10. A student has a budget of $200 for school supplies. If notebooks cost $5 each and pens cost $2 each, how many of each can they buy if they want to buy at least 10 items? Solve the inequality and represent it on a number line.

• The student can buy 50 notebooks and 20 pens.

• The student can buy 30 notebooks and 5 pens.

• The student can buy between 0 to 60 notebooks and 10 to 0 pens.

• The student can buy 10 notebooks and 15 pens.