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Free · Class 6–8 · 6 worksheets · answer keys · practise online · set 75

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 75
Name:Date:Score:    / 12

Solve.

  1. n + 22 = 41
  2. m − 3 = 17
  3. x + 4 = 14
  4. p − 12 = 7
  5. 19 + y = 44
  6. 12 + m = 36
  7. 17 + x = 34
  8. 7 + n = 30
  9. y + 18 = 23
  10. x + 17 = 25
  11. n + 19 = 20
  12. y + 13 = 40

One-step equations (× and ÷)

Class 6–7 · Worksheet 2 · set 75
Name:Date:Score:    / 12

Solve.

  1. x/9 = 4
  2. 7p = 7
  3. n/3 = 10
  4. 8p = 56
  5. 3x = 21
  6. m/9 = 5
  7. 8m = 112
  8. n/8 = 14
  9. m/2 = 8
  10. x/5 = 9
  11. n/7 = 3
  12. m/9 = 8

Two-step equations

Class 7 · Worksheet 3 · set 75
Name:Date:Score:    / 12

Solve.

  1. 7y + 9 = 65
  2. 3p − 13 = 5
  3. 2n + 4 = 6
  4. 5n − 8 = 17
  5. 6y + 12 = 78
  6. 5y + 7 = 62
  7. 6n + 5 = 47
  8. 4p − 12 = 12
  9. 7m − 7 = 56
  10. 8m + 13 = 93
  11. 5x + 7 = 67
  12. 5m + 2 = 62

Equations with brackets

Class 7–8 · Worksheet 4 · set 75
Name:Date:Score:    / 10

Solve.

  1. 4(y + 4) = 48
  2. 2(x − 3) + 13 = 27
  3. 4(y − 3) + 2 = 22
  4. 3(m + 5) = 21
  5. 2(y − 7) + 10 = 4
  6. 3(x − 3) + 11 = 26
  7. 3(m − 3) + 12 = 36
  8. 2(x + 9) = 40
  9. 4(y − 8) + 3 = −1
  10. 3(y − 4) + 2 = 14

Variables on both sides

Class 8 · Worksheet 5 · set 75
Name:Date:Score:    / 10

Solve.

  1. 4y − 15 = 3y − 21
  2. 6m − 12 = 2m + 16
  3. 9y + 13 = 7y + 15
  4. 5m − 6 = 2m − 24
  5. 6m − 13 = 5m − 5
  6. 6n + 2 = 2n + 22
  7. 8m − 17 = 4m + 19
  8. 4y − 12 = 3y − 15
  9. 4n − 5 = 3n − 4
  10. 3n + 9 = 2n + 6

Equation word problems

Class 7–8 · Worksheet 6 · set 75
Name:Date:Score:    / 6

Form an equation and solve.

  1. The length of a rectangle is 10 cm more than its width. Its perimeter is 80 cm. Find the length and the width.
  2. I think of a number, multiply it by 2 and add 1. The answer is 37. What is the number?
  3. A father is 3 times as old as his son. The sum of their ages is 20 years. Find their ages.
  4. The length of a rectangle is 2 cm more than its width. Its perimeter is 40 cm. Find the length and the width.
  5. I think of a number, multiply it by 4 and add 17. The answer is 33. What is the number?
  6. Ravi has ₹42 more than Asha. Together they have ₹432. How much money does Asha have?

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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.