Grade 7 Inequalities: Write and Interpret Word Problems

1. Sarah has at least 50 stickers. If she buys x more stickers, write an inequality to represent the total number of stickers she will have.

• S + x >= 50 + x

• S + x > 50 + x

• S + x = 50 + x

• S + x < 50 + x

2. A school requires at least 200 volunteer hours from students. If a student has completed y hours, write an inequality to show how many more hours they need to complete.

• y + 200 < 200

• y - 200 < 0

• 200 - y = 0

• 200 - y > 0

3. Tom wants to save at least $100 for a video game. If he currently has z dollars, write an inequality to express how much more he needs to save.

• x >= 100 - z

• x < 100 + z

• x = 100 - z

• x > 100 - z

4. A recipe requires at most 3 cups of sugar. If you have s cups of sugar, write an inequality to show how much more sugar you can use without exceeding the limit.

• x < 3 + s

• x ≥ 3 - s

• x ≤ 3 - s

• x = 3 + s

5. A concert hall can hold a maximum of 500 people. If there are p people already in the hall, write an inequality to represent how many more can enter.

• p < 500

• p = 500

• p ≤ 500

• p > 500

6. Lisa needs to read at least 5 books this month. If she has read r books so far, write an inequality to show how many more she needs to read.

• r > 5

• r < 5

• r = 5

• r ≤ 5

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

• m < 300

• m >= 300

• m <= 300

• m > 300

8. A gym membership costs at least $30 per month. If you have spent t dollars this month, write an inequality to show how much more you can spend without exceeding the limit.

• x < 30 + t

• x >= 30 - t

• x = 30 - t

• x <= 30 - t

9. A farmer has at least 100 apples. If he sells s apples, write an inequality to represent how many apples he has left.

• 100 + s <= 100

• 100 - s >= 0

• 100 - s < 0

• s - 100 >= 0

10. A student needs to score at least 75% on a test to pass. If they scored x out of 100, write an inequality to show what score they need on the next test to pass overall.

• y < 150 - x

• y >= 150 - x

• y <= 75 - x

• y > 100 - x