Translating Verbal Inequalities: Real-Life Scenarios

1. Sarah has at least 3 times as many apples as Tom. If Tom has x apples, write an inequality to represent the number of apples Sarah has.

• S < 3x

• S > 3x

• S = 3x

• S >= 3x

2. A store sells notebooks for $2 each. If you want to spend no more than $20, write an inequality to represent the maximum number of notebooks you can buy.

• x < 10

• 2x + 5 ≤ 20

• 3x ≤ 20

• 2x ≤ 20

3. The sum of a number y and 5 is greater than 12. Write an inequality to express this situation and solve for y.

• y < 7

• y > 7

• y >= 5

• y = 7

4. A class has a maximum of 30 students. If there are currently x students enrolled, write an inequality to show how many more students can enroll.

• x = 30

• x < 30

• x > 30

• x ≤ 30

5. A recipe requires at least 2 cups of sugar. If you have y cups of sugar, write an inequality to represent how much more sugar you need to meet the requirement.

• 2 + y > 2

• 2 - y > 0

• y + 2 < 2

• y - 2 < 0

6. The total cost of a party is at least $150. If you have already spent x dollars, write an inequality to show how much more you can spend.

• x <= 150

• x >= 150

• x < 150

• x = 150

7. A car can travel at most 300 miles on a full tank. If it has already traveled y miles, write an inequality to represent how many more miles it can travel.

• y > 300

• y <= 300

• y >= 300

• y < 300

8. A student needs to score at least 75% on a test to pass. If the student has scored x% so far, write an inequality to show what they need to score on the remaining questions to pass.

• y >= (75T - xA) / (T - A)

• y = (75T + xA) / (T + A)

• y <= (75T - xA) / (T - A)

• y < (75T - xA) / (T - A)

9. The total weight of a package must be less than 50 pounds. If the package currently weighs x pounds, write an inequality to show how much more weight can be added.

• y > 50 - x

• y = 50 + x

• y < 50 + x

• y < 50 - x

10. A gym requires a minimum of 5 members to start a class. If there are currently y members signed up, write an inequality to represent how many more members are needed.

• y + 5 < 5

• y - 5 < 0

• 5 - y < 0

• 5 - y > 0