Grade 7 · Math

7th grade Two-step equation word problems worksheet

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Two-step equation word problems

Grade 7 Math Worksheet - Challenge Me

NameDate

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

Noah and 3 friends each walk some km to the park and 1.5 km around the lake. Together they walk 14 km. What equation fits, with x the km to the park?
Tala's bathtub holds 40 gallons of water and drains 2.5 gallons each minute. After how many minutes does it hold 15 gallons?
At noon at Jun's campsite it is 8°F. It drops 3°F each hour. After how many hours is it -10°F?
Milo ties 5 equal ribbons. Each ribbon is some meters long plus a 0.5 m bow. All together they measure 12.5 meters. How many meters long is one ribbon without its bow?
Zee loads 4 boxes. Each box holds some kilograms of books plus 2 kilograms for the box itself. The load is 40 kilograms. How many kilograms of books are in one box?
Kira rides the bus 3 times. Each trip goes some km to the park and 1.5 km on to school. The 3 trips total 18 km. How many km is the ride to the park?
Table. Weeks: 0, 1, 2, 3. Savings in dollars: 5, 9, 13, 17. Esme tracks savings each week (see the table). The pattern keeps going. After how many weeks does Esme have $45?
8.
Luz hikes 2/5 of a trail and then 4 more miles, for 12 miles in all. Which trail length makes the story true?
- 8
- 20
- 26
- 40
9.
Tala's game starts at -9 coins. Tala earns 1.5 coins each round and now has 6 coins. Which number of rounds makes the story true?
- 22.5
- 10
- 15
- 13
10.
Jun reads 3/4 of a book and then 6 more pages, for 51 pages in all. Which book length makes the story true?
- 76
- 60
- 62
- 45

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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