Grade 7 · Math

7th grade Inequality word problems worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

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Inequality word problems

Grade 7 Math Worksheet - Building Confidence

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Circle the best answer, or write your answer on the line.

1.
The school bus Luz rides holds at most 36 riders. Let s be the number of riders. Which inequality matches?
- s < 36
- s ≥ 36
- s > 36
- s ≤ 36
2.
To win a prize, Tala needs more than 25 points. Let g be the points. Which inequality matches?
- g ≥ 25
- g > 25
- g < 25
- g ≤ 25
3.
Jun's shelf can hold fewer than 12 kilograms. Let w be the weight in kilograms. Which inequality matches?
- w ≥ 12
- w < 12
- w ≤ 12
- w > 12
Bo counts riders on a bus that holds at most 40. It starts with 6 riders, and 4 more get on at each stop. Let s be the number of stops. What inequality fits?
Milo wants to read more than 50 pages. Milo has read 8 pages and reads 6 more each day. Let d be the number of days. What inequality fits?
Zee has 4 boxes with the same number of crayons and gives away 5 crayons. Zee wants fewer than 20 left. Let c be the crayons in one box. What inequality fits?
Kira has $4 and saves $2 each week for a new book. How many weeks until Kira has at least $18?
Noah has 3 boxes with the same number of crayons and gives away 6 crayons. Noah wants fewer than 12 left. How many crayons can be in each box?
9.
A bus holds at most 36 riders and starts with 8. Luz adds 4 riders at each stop, and the solution is s ≤ 7. Which sentence tells how many stops the bus can make?
- exactly 7 stops
- 7 stops or fewer
- 7 stops or more
- fewer than 7 stops
10.
A bag holds fewer than 15 kilograms. The bag weighs 3 kg, each of Jun's books weighs 2 kg, and the solution is f < 6. Which sentence tells how many books fit?
- fewer than 6 books
- 6 books or fewer
- more than 6 books
- exactly 6 books

7th grade Inequality word problems worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Inequality word problems. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can turn the words into a sign: "at least" is ≥, "at most" and "no more than" are ≤, "more than" is >, "fewer than" is <.
I can write the inequality for a story, like 3w + 6 ≥ 30, solve it, and say what it means: "7 weeks or more".
I can find the greatest whole number that works, and I know the sign flips when the rate is negative, like a bathtub draining.

Standard: 7.EE.B.4b

Words to know

at least: This number or more. The number itself works. (Sign ≥.)

at most, no more than: This number or less. The number itself works. (Sign ≤.)

more than, fewer than: Past the number, but not the number itself. (Signs > and <.)

inequality: A comparison with <, >, ≤ or ≥ instead of an equals sign.

solution: A number that makes the inequality true when you put it in for the letter.

bar model (tape diagram): Two bars: the left side on top, the right side below, one longer or shorter.

Common mistakes

Your child turned the words into the wrong sign, so the answer points the wrong way.

Your child chose the sign with or without "or equal" the wrong way.

Your child wrote the start amount with the wrong sign.

What to say

Ask: say the words in plain English ("at least 30" is 30 or more), then which sign matches?

Ask: can the number itself work? "At least", "at most" and "no more than" allow it; "more than" and "fewer than" do not.

Ask: does the story add this amount on, or take it away?

Questions parents ask

What is the most common mistake with inequality word problems?

Your child turned the words into the wrong sign, so the answer points the wrong way.

How can I help my child with inequality word problems?

Ask: say the words in plain English ("at least 30" is 30 or more), then which sign matches?

Are these 7th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More grade 7 math

See all grade 7 math

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