Real-Life Inequalities: Solve and Combine for Grade 8

1. A store sells notebooks for $2 each and pens for $1 each. If you want to spend no more than $10, how many notebooks and pens can you buy?

• 2 notebooks and 8 pens

• You can buy up to 5 notebooks and 0 pens, or various combinations such as 4 notebooks and 2 pens, etc.

• 6 notebooks and 1 pen

• 3 notebooks and 5 pens

2. Sarah is at least 12 years old and no more than 15 years old. Write an inequality to represent her age and explain what it means in real life.

• age = 12 or age = 15

• age < 12

• 12 <= age <= 15

• age > 15

3. A swimming pool can hold a maximum of 5000 liters of water. If it currently has 3000 liters, how many more liters can be added without exceeding the limit?

• 1500 liters

• 2000 liters

• 2500 liters

• 3000 liters

4. Tom has between 5 and 10 apples. If he buys 3 more apples, how many apples will he have? Write an inequality to represent this situation.

• Tom will have between 10 and 15 apples.

• Tom will have between 8 and 13 apples.

• Tom will have between 4 and 7 apples.

• Tom will have between 6 and 9 apples.

5. A concert hall can seat at least 200 people but no more than 500 people. Write a compound inequality to represent the number of people that can attend the concert.

• 200 <= x <= 500

• 150 <= x <= 550

• x < 200 or x > 500

• 100 <= x <= 300

6. A recipe requires at least 2 cups of flour and no more than 4 cups. If you have 3 cups of flour, can you make the recipe? Explain your reasoning using inequalities.

• No, you need at least 4 cups of flour.

• Yes, but only if you have 1 cup of sugar.

• No, you can only use exactly 2 cups of flour.

• Yes, you can make the recipe.

7. A car rental company charges $30 per day plus a one-time fee of $50. If you want to spend no more than $200, how many days can you rent the car?

• 3

• 7

• 5

• 10

8. The temperature in a freezer should be less than or equal to -18 degrees Celsius. If the current temperature is -15 degrees, how much lower does it need to be to meet the requirement?

• 3 degrees Celsius

• 10 degrees Celsius

• 5 degrees Celsius

• 1 degree Celsius

9. A student needs to score at least 70% on a test to pass. If the test has 50 questions, how many questions must the student answer correctly to pass?

• 35

• 25

• 40

• 30

10. A gym has a maximum capacity of 100 members. If there are currently 75 members, how many new members can join without exceeding the limit?

• 30

• 50

• 10

• 25