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Grade 7–9Common Core (CCSS) · Math: algebra

Math · Grade 7

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Simplify expressions · Grade 7

Name: ____________________

Worked example

  1. The goal: write the expression more briefly without changing its value, for example 2x + 3x = 5x.
  2. Combine terms of the same kind: x-terms together, numbers together.
  3. Example: 2x + 3 + 3x − 1.
  4. x-terms: 2x + 3x = 5x. Numbers: 3 − 1 = 2. Answer: 5x + 2.
  5. Check: read the question again. Does your answer give what was asked, with the right unit? Work backwards to see that it fits. ✓
Example: how to solve it
1.

Simplify: 4x + 4y − 8x + 2y + 5 =

2.

Simplify: 9x + 5y − 6x − 6y + 3 =

3.

Simplify: 9x + 4y + 2y + 5 =

4.

Simplify: 4x + y − 2x − 3y + 7 =

5.

Simplify: 3x + 2y + 4x + 2y + 2 =

6.

Simplify: 5x + 6y − 7x + 6y + 5 =

7.

Simplify: 2x + 3y − 7x + 2y + 4 =

8.

Simplify: 6x + 5y + 4y + 1 =

9.

Simplify: 3x + 3y − 8x + 6y + 9 =

10.

Simplify: 9x + 3y − 2x + 6y + 5 =

11.

Simplify: 9x + 2y + 3y + 12 =

12.

Simplify: 8x + y − 3x − 3y + 7 =

13.

Simplify: 5x + 3y + 5x − 2y + 4 =

14.

Simplify: 3x + 6y − 7x − 4y + 12 =

15.

Simplify: 2x + 5y + x + y + 7 =

16.

Simplify: 5x + 4y + 7x − 6y + 8 =

17.

Simplify: 4x + 6y + 9x − 2y + 11 =

18.

Simplify: 5x + 5y − x − y + 12 =

19.

Simplify: 3x + 3y + 3x − 3y + 8 =

20.

Simplify: 2x + 4y − 9x + 3y + 7 =

Answer key

  1. 1. −4x + 6y + 5
  2. 2. 3x − y + 3
  3. 3. 9x + 6y + 5
  4. 4. 2x − 2y + 7
  5. 5. 7x + 4y + 2
  6. 6. −2x + 12y + 5
  7. 7. −5x + 5y + 4
  8. 8. 6x + 9y + 1
  9. 9. −5x + 9y + 9
  10. 10. 7x + 9y + 5
  11. 11. 9x + 5y + 12
  12. 12. 5x − 2y + 7
  13. 13. 10x + y + 4
  14. 14. −4x + 2y + 12
  15. 15. 3x + 6y + 7
  16. 16. 12x − 2y + 8
  17. 17. 13x + 4y + 11
  18. 18. 4x + 4y + 12
  19. 19. 6x + 8
  20. 20. −7x + 7y + 7

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Areas on this sheet

  • Algebra · 20

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Area
Algebra
Exercise type
Simplify expressions
Grade
7 (ages 12–13)
Difficulty
Easy
Number of tasks
20
Task format
Calculations
Paper size
US Letter
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Area
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Combine like terms and simplify algebraic expressions — the core of pre-algebra.

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About this generator

Pre-algebra (usually 7th grade) teaches students to work with variables. These sheets practice combining like terms with positive and negative coefficients. Every sheet has a separate answer key calculated by the website, so answers always match the problems. Free, no sign-up, US Letter by default.

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Choose an age or grade in step 2. Start easier if the pupil is unsure – you can switch anytime and get new problems instantly.
Can I see the problems before printing?
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Turn on Answer key in the last step. It prints on its own page after the problems, with the same numbering.
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It opens a step-by-step explanation of the method on screen. It is not printed and does not reveal the answer.
What is combining like terms?
Adding terms with the same variable: 3x − 5x = −2x.
What comes after pre-algebra?
Algebra 1, usually in 8th or 9th grade — see the Algebra 1 page.

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