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Free · Class 6–8 · 6 worksheets · answer keys · practise online · set 82

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 82
Name:Date:Score:    / 12

Solve.

  1. m + 10 = 20
  2. p + 26 = 53
  3. 30 + y = 52
  4. 5 + x = 10
  5. x + 6 = 10
  6. 18 + p = 35
  7. 16 + n = 25
  8. n + 6 = 36
  9. p + 27 = 52
  10. 25 + p = 40
  11. 28 + p = 50
  12. 10 + y = 18

One-step equations (× and ÷)

Class 6–7 · Worksheet 2 · set 82
Name:Date:Score:    / 12

Solve.

  1. y/2 = 4
  2. 9p = 117
  3. m/2 = 13
  4. m/6 = 6
  5. x/2 = 15
  6. 6n = 78
  7. n/6 = 12
  8. 9n = 45
  9. x/8 = 2
  10. x/4 = 10
  11. x/9 = 6
  12. n/7 = 2

Two-step equations

Class 7 · Worksheet 3 · set 82
Name:Date:Score:    / 12

Solve.

  1. 9p − 20 = 16
  2. 8p + 10 = 42
  3. 7x + 17 = 80
  4. 3n + 4 = 25
  5. 8n + 17 = 49
  6. 3p − 17 = 13
  7. 5y − 13 = 37
  8. 4m + 4 = 36
  9. 3m + 19 = 25
  10. 6m + 4 = 22
  11. 9y + 16 = 43
  12. 5p + 14 = 24

Equations with brackets

Class 7–8 · Worksheet 4 · set 82
Name:Date:Score:    / 10

Solve.

  1. 6(n + 3) = 84
  2. 3(y − 8) + 12 = 15
  3. 4(m − 2) + 7 = 35
  4. 3(y + 4) = 21
  5. 4(y + 7) = 56
  6. 4(y − 8) + 15 = −1
  7. 2(y + 4) = 26
  8. 3(n + 1) = 36
  9. 3(m + 9) = 33
  10. 6(m + 6) = 96

Variables on both sides

Class 8 · Worksheet 5 · set 82
Name:Date:Score:    / 10

Solve.

  1. 9n − 3 = 4n − 28
  2. 7n + 7 = 4n − 2
  3. 4y + 12 = y + 39
  4. 4m − 2 = m + 10
  5. 3n − 7 = 2n − 4
  6. 4n + 2 = 3n − 3
  7. 4m + 19 = 3m + 12
  8. 5y − 16 = 2y + 5
  9. 6y + 5 = 2y + 37
  10. 9n + 15 = 7n + 27

Equation word problems

Class 7–8 · Worksheet 6 · set 82
Name:Date:Score:    / 6

Form an equation and solve.

  1. I think of a number, multiply it by 5 and add 5. The answer is 50. What is the number?
  2. I think of a number, multiply it by 6 and add 12. The answer is 24. What is the number?
  3. Ravi has ₹44 more than Asha. Together they have ₹340. How much money does Asha have?
  4. Ravi has ₹39 more than Asha. Together they have ₹393. How much money does Asha have?
  5. I think of a number, multiply it by 3 and add 9. The answer is 18. What is the number?
  6. The length of a rectangle is 4 cm more than its width. Its perimeter is 72 cm. Find the length and the width.

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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.

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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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