Grade 7 · Math

7th grade Inequality word problems worksheet

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Inequality word problems

Grade 7 Math Worksheet - Challenge Me

NameDate

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

Noah watches 6 minutes of previews, then 3/4 of a short film. The whole thing takes at least 21 minutes. Let g be the length of the film in minutes. What inequality fits?
Luz's game starts at -12 coins. Luz earns 2.5 coins each round and wants at least 13 coins. Let g be the number of rounds. What inequality fits?
At dawn at Tala's ski camp it is -8°F. It warms 2.5°F each hour. For how many hours is it below 7°F?
Pia has read 3/5 of a book plus 4 pages of a magazine, at least 40 pages in all. How many pages long is the book?
Milo and 4 friends each buy a ticket and use a $2 coupon. Together they pay at least $30. How many dollars can one ticket cost before the coupon?
Zee has 90 pages left in a book and reads 12 pages each day. For how many days will at least 18 pages be left?
Noah's tub holds 40 gallons and drains 3 gallons each minute. What is the greatest whole number of minutes it can drain and still hold at least 15 gallons?
Ari's kite is 60 m up and descends 4 m each second. What is the greatest whole number of seconds it stays more than 20 m up?
9.
Pia watches 6 minutes of previews and 3/4 of a short film for at least 21 minutes, and the solution is g ≥ 20. Which sentence tells how long the film is?
- 20 minutes or shorter
- 20 minutes or longer
- exactly 20 minutes
- longer than 20 minutes
10.
Four number lines, each marked every 1 from -1 to 14. Bo fills a bucket with 3 scoops of the same size, then pours out 9 liters. Fewer than 12 liters must remain. Which number line shows the possible liters per scoop, marked every 1?
- a closed circle at 7, shaded to the left
- an open circle at 7, shaded to the right
- an open circle at 13, shaded to the left
- an open circle at 7, shaded to the left

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

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