Real-Life Inequalities: Combining & Solving for Grade 7

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

• 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 show how many notebooks you can buy.

• 2x ≤ 20

• 3x ≤ 20

• x < 10

• 2x + 5 ≤ 20

3. The sum of a number y and 5 is greater than 12. Write and solve the inequality to find the possible values of y.

• y < 12

• y < 7

• y > 7

• y = 7

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

• x < 4

• 4 - x > 0

• 4 - x < 0

• x + 4 < 0

5. A car can travel at most 300 miles on a full tank. If it uses 25 miles per gallon, write an inequality to find out how many gallons of gas it can use.

• gallons_used <= 15

• gallons_used <= 12

• gallons_used <= 8

• gallons_used <= 10

6. The total cost of a party is at least $150. If you spend x dollars on food and y dollars on decorations, write an inequality to represent this.

• x + y > 150

• x + y = 150

• x + y < 150

• x + y >= 150

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

• 25

• 35

• 30

• 40

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

• x + y >= 50

• x + y = 50

• x + y < 50

• x + y <= 50

9. The length of a rectangle is 3 times its width. If the width is w, write an inequality to express that the perimeter must be less than 100 units.

• 8w < 100

• 6w < 100

• 4w < 100

• 10w < 100

10. A gym membership costs $30 per month. If you want to spend no more than $240 in a year, write an inequality to find out how many months you can afford the membership.

• x <= 8

• x <= 6

• x <= 10

• x <= 12