Grade 7 · Math

7th grade Two-step equation word problems worksheet

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Two-step equation word problems

Grade 7 Math Worksheet

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

At sunrise at Bo's campsite it is -6°F. It warms 2°F each hour. After h hours it is 8°F. What equation fits, with h the number of hours?
Milo and 3 friends each buy a bus ticket and a $2 snack. Together they spend $28. What equation fits, with c the cost of one ticket in dollars?
Zee gives 5 groups the same number of pencils. Each group gives back 2 pencils, and 20 pencils stay with the groups. What equation fits, with g the pencils each group got?
Ren buys 2 identical folders and uses a $1.50 coupon. Ren pays $8.50. How many dollars does one folder cost?
At dawn at Esme's campsite it is -12°F. It warms 4°F each hour. After how many hours is it 8°F?
Noah checks a thermometer at 5°F. The temperature changes by the same amount each day for 5 days and ends at -10°F. By how many degrees does it change each day?
Ari answers 4 quiz questions that each score the same points (wrong answers lose points), then gets an 8-point bonus. The final score is -4. How many points did each question score?
Pia buys some kilograms of grapes and 3 kilograms of pears. Every fruit costs $2.50 a kilogram, and Pia pays $20 in all. How many kilograms of grapes does Pia buy?
9.
Milo buys 4 identical sketchbooks and uses a $2 coupon. Milo pays $26. Which price for one sketchbook makes the story true?
- $28
- $6
- $8.50
- $7
10.
Kira and 5 friends each buy a bus ticket and use a $2 coupon. Together they pay $36. Which ticket price before the coupon makes the story true?
- $4
- $8
- $48
- $6

7th grade Two-step equation word problems worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Two-step equation word problems. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can write an equation for a story, like 3s + 5 = 20 for a bus that starts with 5 riders and picks up 3 at each stop.
I can solve it and answer in words: take off the start, then split into equal groups.
I can read the start and the step from a table, handle negative starts and answers, and test an answer by putting it back in the story.

Standard: 7.EE.B.4a, 7.EE.B.3

Words to know

start: The amount there before anything repeats. It happens once, like the 5 riders at the start.

rate (step): The amount that repeats each time, like 3 riders at every stop.

equation: A statement with an equals sign, like 3s + 5 = 20.

bar model (tape diagram): Two bars of equal value: the story's total below, the rate pieces and the start above.

reasonable: An answer that fits the story, like a whole number of weeks.

check: Put your answer back into the story and see that it gives the total.

Common mistakes

Your child did the steps in the wrong order, so a number was divided or taken off at the wrong time. Draw the bars and ask: what was done last in the story, so what do we undo first?

Your child added the extra amount when it had to come off, or took it off when it had to go back on.

Your child stopped one step early, with an answer that is still part of the way there.

What to say

Ask: does this amount come off the total, or go back on?

Ask: what does this number stand for in the story, and is it the thing the question asks for?

Questions parents ask

What is the most common mistake with two-step equation word problems?

Your child did the steps in the wrong order, so a number was divided or taken off at the wrong time. Draw the bars and ask: what was done last in the story, so what do we undo first?

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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