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Grade 6–8Common Core style · Math: algebra

6th Grade Equations Worksheets — Free Printable with Answer Key

Solve simple equations for x, a key step from arithmetic into pre-algebra.

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Exercise type
Equations
Grade
6 (ages 11–12)
Difficulty
Easy
Number of tasks
30
Task format
Mixed
Paper size
US Letter
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Topics on this worksheet

Areas on this sheet

  • Algebra · 30

Equations · Grade 6

Name: ____________________
Example: how to solve it
1.

Solve: 4x + 3 = 23

2.

Noa thinks of a number, multiplies it by 7 and adds 27. The result is 90. What is the number?

3.

Solve: 7x + 2 = 16

4.

6 equally priced tickets and a 13 kr programme cost 55 kr in total. What does one ticket cost? Answer with the correct unit.

5.

Solve: 6x + 12 = 48

6.

Sara thinks of a number, multiplies it by 4 and adds 10. The result is 22. What is the number?

7.

Solve: 3x + 21 = 39

8.

A gym charges 24 kr per month plus 2 kr per visit. Amira paid 38 kr. How many visits was that? Answer with the correct unit.

9.

Solve: 4x + 5 = 13

10.

Nour thinks of a number, multiplies it by 6 and adds 20. The result is 62. What is the number?

11.

Solve: 7x + 25 = 67

12.

A rectangle is 10 cm longer than it is wide. Its perimeter is 84 cm. How wide is it? Answer with the correct unit.

13.

Solve: 5x + 17 = 42

14.

9 equally priced tickets and a 28 kr programme cost 154 kr in total. What does one ticket cost? Answer with the correct unit.

15.

Solve: 8x + 25 = 49

16.

A taxi costs 2 kr to start plus 2 kr per km. A trip costs 14 kr. How many km was the trip? Answer with the correct unit.

17.

Solve: 8x + 6 = 38

18.

Vera thinks of a number, multiplies it by 4 and adds 28. The result is 56. What is the number?

19.

Solve: 3x + 6 = 39

20.

2 equally priced tickets and a 23 kr programme cost 41 kr in total. What does one ticket cost? Answer with the correct unit.

21.

Solve: 8x + 29 = 93

22.

A gym charges 28 kr per month plus 4 kr per visit. Ella paid 40 kr. How many visits was that? Answer with the correct unit.

23.

Solve: 5x + 15 = 75

24.

A taxi costs 21 kr to start plus 3 kr per km. A trip costs 45 kr. How many km was the trip? Answer with the correct unit.

25.

Solve: 7x + 10 = 66

26.

Ari thinks of a number, multiplies it by 3 and adds 16. The result is 31. What is the number?

27.

Solve: 7x + 30 = 86

28.

A plumber charges 14 kr for the visit plus 5 kr per hour. The bill is 34 kr. How many hours did the job take? Answer with the correct unit.

29.

Solve: 8x + 17 = 25

30.

6 equally priced tickets and a 10 kr programme cost 40 kr in total. What does one ticket cost? Answer with the correct unit.

Answer key

  1. 1. x = 5
  2. 2. 9
  3. 3. x = 2
  4. 4. 7 kr
  5. 5. x = 6
  6. 6. 3
  7. 7. x = 6
  8. 8. 7 visits
  9. 9. x = 2
  10. 10. 7
  11. 11. x = 6
  12. 12. 16 cm
  13. 13. x = 5
  14. 14. 14 kr
  15. 15. x = 3
  16. 16. 6 km
  17. 17. x = 4
  18. 18. 7
  19. 19. x = 11
  20. 20. 9 kr
  21. 21. x = 8
  22. 22. 3 visits
  23. 23. x = 12
  24. 24. 8 km
  25. 25. x = 8
  26. 26. 5
  27. 27. x = 8
  28. 28. 4 h
  29. 29. x = 1
  30. 30. 5 kr

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Sixth graders start solving equations with one variable. Problems undo one operation at a time, and every answer is a whole number. 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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Frequently asked questions

How do I pick the right level?
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?
Yes. The sheet shows exactly the problems that will print. Click New problems to swap them.
How do I include an answer key?
Turn on Answer key in the last step. It prints on its own page after the problems, with the same numbering.
What does the question mark next to a problem do?
It opens a step-by-step explanation of the method on screen. It is not printed and does not reveal the answer.
How do you solve 3x + 2 = 20?
Subtract 2 from both sides (3x = 18), then divide by 3 (x = 6).
Are there negative answers?
Only at the hard level.

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