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Free · Class 6–8 · 6 worksheets · answer keys · practise online · set 55

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 55
Name:Date:Score:    / 12

Solve.

  1. 13 + x = 25
  2. 18 + p = 29
  3. p + 16 = 35
  4. p − 8 = 19
  5. m − 11 = 13
  6. y + 15 = 34
  7. 11 + p = 38
  8. 5 + n = 21
  9. n + 28 = 45
  10. p + 22 = 47
  11. y + 6 = 19
  12. p + 13 = 21

One-step equations (× and ÷)

Class 6–7 · Worksheet 2 · set 55
Name:Date:Score:    / 12

Solve.

  1. 5m = 20
  2. 8x = 56
  3. n/7 = 8
  4. 4n = 24
  5. p/2 = 14
  6. 2n = 24
  7. 8p = 88
  8. p/3 = 9
  9. 8y = 88
  10. 2m = 10
  11. 3m = 24
  12. 2y = 2

Two-step equations

Class 7 · Worksheet 3 · set 55
Name:Date:Score:    / 12

Solve.

  1. 9n + 20 = 56
  2. 7m + 10 = 24
  3. 8n − 9 = 63
  4. 3y + 17 = 50
  5. 4p + 15 = 35
  6. 7x + 8 = 71
  7. 2m − 11 = 9
  8. 2p + 3 = 21
  9. 5n − 1 = 49
  10. 5x − 17 = 33
  11. 2p + 2 = 14
  12. 6n − 4 = 14

Equations with brackets

Class 7–8 · Worksheet 4 · set 55
Name:Date:Score:    / 10

Solve.

  1. 4(m − 8) + 3 = −21
  2. 6(y − 4) + 1 = 7
  3. 6(y + 2) = 24
  4. 3(n − 2) + 14 = 44
  5. 3(n − 8) + 15 = 12
  6. 6(x + 7) = 78
  7. 5(x + 5) = 60
  8. 2(n − 4) + 11 = 15
  9. 2(y + 9) = 28
  10. 6(y − 8) + 13 = 25

Variables on both sides

Class 8 · Worksheet 5 · set 55
Name:Date:Score:    / 10

Solve.

  1. 5m − 15 = 2m − 27
  2. 6n − 11 = 4n − 17
  3. 5x − 18 = 3x − 28
  4. 5n + 4 = n − 24
  5. 8m + 17 = m + 59
  6. 3m + 14 = 2m + 8
  7. 6m − 18 = 3m − 9
  8. 7x − 11 = 5x − 5
  9. 9n + 15 = 6n − 9
  10. 6y − 16 = y − 1

Equation word problems

Class 7–8 · Worksheet 6 · set 55
Name:Date:Score:    / 6

Form an equation and solve.

  1. I think of a number, multiply it by 3 and add 19. The answer is 61. What is the number?
  2. The length of a rectangle is 4 cm more than its width. Its perimeter is 60 cm. Find the length and the width.
  3. The length of a rectangle is 6 cm more than its width. Its perimeter is 48 cm. Find the length and the width.
  4. I think of a number, multiply it by 4 and add 5. The answer is 69. What is the number?
  5. Ravi has ₹20 more than Asha. Together they have ₹180. How much money does Asha have?
  6. The length of a rectangle is 7 cm more than its width. Its perimeter is 38 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.

How do I get different questions?

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

How do I print only one worksheet?

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

Yes — press “▶️ Practise online” on any worksheet. The questions come one at a time with instant marking, a score at the end and a review of mistakes. No sign-in is needed.