Real-Life Inequalities: Evaluating Expressions in Context

1. Sarah has $50 to spend on books. Each book costs $12. Write an inequality to represent how many books she can buy. How many books can she purchase?

• 3

• 5

• 6

• 4

2. A school is planning a field trip and needs at least $300 to cover costs. If each student pays $15, write an inequality to find the minimum number of students needed. How many students must attend?

• 30

• 25

• 15

• 20

3. Tom is saving money for a video game that costs $60. If he saves $5 each week, write an equation to find out how many weeks it will take him to save enough money. How many weeks will it take?

• 20 weeks

• 12 weeks

• 15 weeks

• 8 weeks

4. A recipe requires at least 3 cups of flour. If you have x cups of flour, write an inequality to express how much more flour you need to meet the requirement. What does this mean if you have 2 cups?

• You need at least 2 more cups of flour.

• You need at least 1 more cup of flour.

• You need at least 0 more cups of flour.

• You need at least 3 more cups of flour.

5. A concert hall can hold a maximum of 500 people. If 200 tickets have already been sold, write an inequality to determine how many more tickets can be sold. How many tickets can still be sold?

• 400

• 300

• 250

• 150

6. Lisa is at least 5 years older than her brother. If her brother is x years old, write an inequality to express Lisa's age. If her brother is 10, how old is Lisa?

• Lisa is 20 years old.

• Lisa is 12 years old.

• Lisa is 10 years old.

• Lisa is at least 15 years old.

7. A car rental company charges a flat fee of $30 plus $0.20 per mile driven. Write an equation to represent the total cost (C) for driving m miles. How much would it cost to drive 100 miles?

• $70

• $40

• $50

• $60

8. A gym requires a minimum of 15 members to stay open. If there are currently y members, write an inequality to express how many more members are needed. If there are 10 members, how many more are needed?

• 3

• 7

• 10

• 5

9. A farmer has a field that can grow at most 200 plants. If he has already planted x plants, write an inequality to show how many more he can plant. If he has planted 150, how many more can he plant?

• 25

• 75

• 50

• 100

10. A store is having a sale where items are discounted by at least 20%. If an item costs $x, write an inequality to express the minimum price after the discount. If the item costs $50, what is the minimum price after the discount?

• $40

• $45

• $30

• $25