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Free · Class 6–8 · 6 worksheets · answer keys · practise online · set 49

Linear equations worksheets — simple equations, Class 6 to 8

Free linear equations in one variable worksheets: one-step and two-step simple equations (Class 6–7), variables on both sides and brackets (Class 8), and word problems — with answers.

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One-step equations (+ and −) (Class 6)One-step equations (× and ÷) (Class 6–7)Two-step equations (Class 7)Equations with brackets (Class 7–8)Variables on both sides (Class 8)Equation word problems (Class 7–8)

One-step equations (+ and −)

Class 6 · Worksheet 1 · set 49
Name:Date:Score:    / 12

Solve.

  1. 23 + n = 26
  2. n + 24 = 42
  3. m + 11 = 31
  4. x − 1 = 23
  5. p + 18 = 47
  6. n − 4 = 17
  7. n + 30 = 48
  8. n + 8 = 19
  9. y + 5 = 32
  10. 18 + n = 43
  11. y + 18 = 28
  12. x − 11 = 3

One-step equations (× and ÷)

Class 6–7 · Worksheet 2 · set 49
Name:Date:Score:    / 12

Solve.

  1. x/4 = 2
  2. 3p = 39
  3. 4n = 32
  4. n/2 = 7
  5. n/5 = 2
  6. 3m = 30
  7. 5n = 35
  8. x/7 = 5
  9. 4n = 40
  10. 8m = 88
  11. 7m = 49
  12. 3n = 3

Two-step equations

Class 7 · Worksheet 3 · set 49
Name:Date:Score:    / 12

Solve.

  1. 6p + 8 = 20
  2. 2y − 3 = 5
  3. 8y − 5 = 67
  4. 9p + 10 = 73
  5. 3m − 15 = 6
  6. 7x − 16 = 19
  7. 6p + 15 = 69
  8. 5m − 14 = 46
  9. 8p + 11 = 27
  10. 5p + 6 = 16
  11. 9n − 2 = 61
  12. 3n + 14 = 32

Equations with brackets

Class 7–8 · Worksheet 4 · set 49
Name:Date:Score:    / 10

Solve.

  1. 6(m − 3) + 5 = 5
  2. 6(x + 5) = 54
  3. 5(m + 7) = 90
  4. 3(n − 8) + 5 = −13
  5. 5(m − 3) + 5 = 5
  6. 6(x − 6) + 6 = −18
  7. 2(m + 5) = 34
  8. 5(y − 3) + 7 = 42
  9. 3(y − 1) + 6 = 12
  10. 2(y + 8) = 30

Variables on both sides

Class 8 · Worksheet 5 · set 49
Name:Date:Score:    / 10

Solve.

  1. 7n + 2 = 6n − 2
  2. 4y − 16 = 3y − 15
  3. 6n − 17 = n − 2
  4. 9m + 11 = m − 37
  5. 7m − 8 = 6m − 15
  6. 7n − 7 = 4n − 1
  7. 3x + 1 = 2x − 6
  8. 9n + 18 = 2n + 53
  9. 6x + 1 = 4x − 17
  10. 9x + 17 = 7x + 21

Equation word problems

Class 7–8 · Worksheet 6 · set 49
Name:Date:Score:    / 6

Form an equation and solve.

  1. Ravi has ₹41 more than Asha. Together they have ₹437. How much money does Asha have?
  2. The sum of two consecutive numbers is 23. Find the numbers.
  3. I think of a number, multiply it by 6 and add 14. The answer is 110. What is the number?
  4. I think of a number, multiply it by 3 and add 14. The answer is 62. What is the number?
  5. I think of a number, multiply it by 6 and add 19. The answer is 109. What is the number?
  6. A father is 5 times as old as his son. The sum of their ages is 66 years. Find their ages.

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Questions

What is a linear equation in one variable?

An equation with one letter whose highest power is 1, such as 3x + 4 = 19. It has exactly one solution.

How do I solve word problems on simple equations?

Call the unknown x, write the sentence as an equation (“3 times a number plus 5 is 26” → 3x + 5 = 26), solve it, then check the answer in the story.

Are these worksheets free?

Yes — print them or save as PDF free. Every worksheet has an answer key.

How do I get different questions?

Press “🔄 New set” — the questions change (maths numbers are new every time; English sentences are shuffled).

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Can my child do this worksheet online, like a quiz?

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