Mastering Inequalities: Real-Life Word Problems for 7th Grade

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 concert hall can hold a maximum of 200 people. If y people have already bought tickets, write an inequality to show how many more tickets can be sold.

• y = 200

• y > 200

• y ≤ 200

• y < 200

3. Tom needs to save at least $100 for a video game. If he has saved z dollars so far, write an inequality to represent how much more he needs to save.

• z < 100

• z = 100

• z > 100

• z ≤ 100

4. A recipe requires at least 3 cups of flour. If you have w cups of flour, write an inequality to express how much more flour you need.

• w < 3

• 3 - w > 0

• w + 3 < 0

• 3 - w < 0

5. A school has a limit of 300 students. If there are currently s students enrolled, write an inequality to show how many more students can enroll.

• s > 300

• s < 300

• s ≤ 300

• s = 300

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

• r < 5

• 5 - r < 0

• 5 - r > 0

• r + 5 < 0

7. A car can travel a maximum of 400 miles on a full tank. If it has already traveled m miles, write an inequality to show how many more miles it can travel before needing to refuel.

• m = 400

• m <= 400

• m >= 400

• m < 400

8. A gym can accommodate a maximum of 50 members at a time. If there are currently g members working out, write an inequality to represent how many more members can join.

• g > 50

• g < 50

• g = 50

• g ≤ 50

9. A farmer needs to plant at least 100 trees. If he has already planted p trees, write an inequality to express how many more trees he needs to plant.

• p = 100

• p ≤ 100

• p < 100

• p > 100

10. A movie theater has 150 seats. If t seats are already filled, write an inequality to show how many more tickets can be sold.

• t < 150

• t > 150

• t = 150

• t ≤ 150