Inequalities Review

Sample Questions

1. Question: Marcus exercises at least 45 minutes each day. Write an inequality to represent the number of minutes, 𝑚, that Marcus exercises each day.

   Answer: m ≥ 45

2. Question: Liam is at most 25 years old. Write an inequality to represent Liam’s age, 𝑎.

   Answer: a ≤ 25

3. Question: Which values are solutions to the inequality 𝑥 - 7 < 32 A. 26 B. 39 C. 12 D. 50 E. 38

   Answer: A, C, E

4. Question: Write an inequality to represent the graph. Use the variable x

   Answer: x ≤ 2

5. Question: Write an inequality to represent the graph. Use the variable x

   Answer: x > -187

6. Question: Write an inequality to represent the graph. Use the variable x

   Answer: x ≤ 292

7. Question: Which values are solutions to the inequality 3x < 24 A. -8 B. 8 C. 7 D. -10 E. 12

   Answer: A, C, D

8. Question: Maya is saving money to buy a new phone. She has already saved $120. She needs to save at least $300 to afford the phone she wants. Let 𝑚 represent the amount of money, in dollars, that Maya still needs to save. Which inequality models the story? A. m+120≥300 B. m−120≥300 C. m+120≤300 D. m−120≤300

   Answer: A

9. Question: There are more than 80 people waiting to ride the Ferris wheel. Each ride can hold 30 people. How many people will still be waiting in line after the first ride is full? Write an inequality to represent the situation. Let 𝑝 represent the number of people still in line after the first ride.

   Answer: p > 50

10. Question: Which story can be modeled by the inequality 4y ≥ 20? A. Lena has a 20-foot ribbon. She plans to cut it into 4 equal pieces. How long will each piece be? B. Lena has 20 stickers. She wants to put 4 stickers on each notebook. How many notebooks might she decorate? C. Lena is baking 4 cakes. She has at most 20 eggs. How many eggs might she use for each cake? D. Lena is planting flowers in 4 pots. She wants to plant at least 20 flowers in total. How many flowers might she plant in each pot?

    Answer: D