Translate & Solve Inequalities: Grade 7 Word Problems

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

• S < 3x

• S = 3x

• S >= 3x

• S > 3x + 1

2. A school is planning a field trip and needs to raise at least $500. If they have already raised $200, write an inequality to show how much more money they need to raise.

• x < 300

• x > 500

• x <= 200

• x >= 300

3. A box can hold no more than 50 pounds of items. If you already have x pounds of items in the box, write an inequality to represent how much more you can add.

• y < 50 + x

• y ≥ 50 - x

• y = 50 - x

• y ≤ 50 - x

4. The sum of a number y and 15 must be less than 30. Write an inequality to represent this situation and solve for y.

• y ≤ 15

• y + 15 = 30

• y > 15

• y < 15

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

• 2 - x > 0

• x + 2 < 0

• 2 + x < 2

• x - 2 < 0

6. A concert hall can seat a maximum of 300 people. If there are currently y people in the hall, write an inequality to represent how many more can enter.

• y ≤ 300

• y = 300

• y < 300

• y > 300

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, write an inequality to represent the number of days you can rent the car.

• d ≤ 3

• d ≤ 4

• d ≤ 7

• d ≤ 5

8. A student needs to score at least 75% on a test to pass. If the test has 40 questions, write an inequality to represent the minimum number of questions the student must answer correctly.

• x > 30

• x <= 35

• x >= 30

• x >= 25

9. A farmer has a budget of $1,000 to spend on seeds. If each bag of seeds costs $25, write an inequality to show how many bags the farmer can buy.

• 25x < 1000

• x <= 40

• 25x >= 1000

• 25x <= 1000

10. A gym requires members to be at least 18 years old. If a member is x years old, write an inequality to represent the age requirement for membership.

• x >= 18

• x < 18

• x <= 18

• x > 18