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Word problems with equations worksheet

Grade 7 math, Common Core 7.EE.B.4. 8 problems with an answer key and worked steps. Free to print, and you can make new problems any time.

By the StudyWiz teamUpdated October 23, 2026How we write our pages

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Word problems with equations

Grade 7 math, Common Core 7.EE.B.4

Write an equation and solve it.

  1. 1.
    Concert tickets cost $15 each, plus $7 for parking. Grace spent $97. How many tickets were bought?
  2. 2.
    Leo is 5 years older than twice their cousin’s age. Leo is 23. How old is the cousin?
  3. 3.
    6 friends share a pizza order equally. Each one also pays $3 toward the tip. In all, they pay $126. What is the cost of the pizza order?
  4. 4.
    Ethan is 1 years older than twice their cousin’s age. Ethan is 15. How old is the cousin?
  5. 5.
    Concert tickets cost $12 each, plus $12 for parking. Priya spent $36. How many tickets were bought?
  6. 6.
    Hana is 1 years older than twice their cousin’s age. Hana is 7. How old is the cousin?
  7. 7.
    A gym charges $20 to join plus $24 a month. Diego paid $116 in all. How many months was that?
  8. 8.
    The sum of two consecutive whole numbers is 55. What are the numbers?
Free worksheets for grades 6 to 8 from StudyWiz, with answer keys: studywiz.online/worksheets

Answer key: Word problems with equations

Grade 7 math. Each answer has a few worked steps, to help check the method as well as the answer.

  1. 1. 6 tickets

    15t + 7 = 9715t = 90t = 6

  2. 2. 9 years old

    2c + 5 = 232c = 18c = 9

  3. 3. $108

    6(p ÷ 6 + 3) = 126p + 18 = 126p = 108

  4. 4. 7 years old

    2c + 1 = 152c = 14c = 7

  5. 5. 2 tickets

    12t + 12 = 3612t = 24t = 2

  6. 6. 3 years old

    2c + 1 = 72c = 6c = 3

  7. 7. 4 months

    20 + 24m = 11624m = 96m = 4

  8. 8. 27 and 28

    n + (n + 1) = 552n = 54n = 27

The answer key prints on its own page. You’re welcome to print and copy these worksheets for your own kids or class.

About word problems with equations

To solve a word problem with an equation, choose a letter for the unknown, write an equation that says the same thing as the words, then solve it. Many problems have a starting amount plus a rate times a number of times, like a $20 fee plus $15 a month.

Worked example 1

6 friends share a pizza order equally. Each one also pays $3 toward the tip. In all, they pay $90. What is the cost of the pizza order?
  1. Step 1.6(p ÷ 6 + 3) = 90
  2. Step 2.p + 18 = 90
  3. Step 3.p = 72

Answer: $72

Worked example 2

Mateo has $40 saved and adds $25 each week. After how many weeks will there be $265?
  1. Step 1.40 + 25w = 265
  2. Step 2.25w = 225
  3. Step 3.w = 9

Answer: 9 weeks

Worked example 3

A rectangle has a perimeter of 42 cm and a length of 13 cm. What is its width?
  1. Step 1.2(13) + 2w = 42
  2. Step 2.2w = 16
  3. Step 3.w = 8

Answer: 8 cm

Watch out for

  • Write down what your variable stands for, like “m = number of months”.
  • Look for the starting amount (the number added once) and the rate (the number multiplied).
  • Check your answer in the story, not just in the equation.

Practice word problems with equations online

On StudyWiz, your kid can practice word problems with equations with 5-question quizzes that are checked as they go, with an explanation for every answer. When a homework problem is the trouble, Wiz gives a hint for each step instead of the answer.

More grade 7 math worksheets

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See all 7th grade math worksheets, or switch to grade 6 or grade 8.

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