Grade 7 · Math

7th grade Inequality word problems worksheet

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Inequality word problems

Grade 7 Math Worksheet

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

Pia has $4.50 and earns $1.50 for each errand. Pia wants at least $12 for a game. Let u be the number of errands. What inequality fits?
Milo loads a cart that can carry no more than 50 kg. The cart frame weighs 12 kg, and each box weighs 4 kg. Let f be the number of boxes. What inequality fits?
Zee rides a fair scooter that costs $2 to start and $0.50 per minute. Zee wants to spend less than $8. Let y be the minutes. What inequality fits?
Kira's bucket can hold at most 15 liters. It has 2.5 liters, and each trip adds 2.5 liters. How many trips can Kira make?
Esme's art club buys 4 paint sets and uses a $3 coupon. The club can spend at most $29. How many dollars can one set cost?
Noah's team scores 6 points per game and starts with a 3-point bonus. The team wants at least 45 points. How many games must it play?
Ari's plant is 3 cm tall and grows 3/4 cm each day. After how many days is it at least 12 cm tall?
8.
Jun loads crates of 3 kg onto a 9 kg cart that holds at most 36 kg. The solution is c ≤ 9. Which sentence tells how many crates?
- 9 crates or fewer
- 9 crates or more
- exactly 9 crates
- fewer than 9 crates
Pia has $19 and buys a pen for $1. Each notebook costs $2.50. What is the greatest whole number of notebooks Pia can buy?
A van must carry fewer than 32 kg. Bo's bag weighs 5 kg, and each crate weighs 3 kg. What is the greatest whole number of crates Bo can load?

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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