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Free · Class 6–8 · 6 worksheets · answer keys · practise online · set 80

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 80
Name:Date:Score:    / 12

Solve.

  1. 13 + x = 16
  2. x − 12 = 17
  3. n + 2 = 22
  4. 6 + n = 34
  5. p + 30 = 43
  6. y + 20 = 45
  7. y − 4 = 17
  8. n − 1 = 12
  9. x + 20 = 39
  10. 28 + m = 35
  11. 26 + p = 35
  12. n + 11 = 25

One-step equations (× and ÷)

Class 6–7 · Worksheet 2 · set 80
Name:Date:Score:    / 12

Solve.

  1. 4m = 24
  2. n/6 = 13
  3. p/7 = 15
  4. 2n = 18
  5. 9p = 90
  6. 7m = 49
  7. m/9 = 1
  8. 3y = 18
  9. 8x = 40
  10. 3n = 30
  11. 8p = 8
  12. p/6 = 10

Two-step equations

Class 7 · Worksheet 3 · set 80
Name:Date:Score:    / 12

Solve.

  1. 8n − 10 = 70
  2. 8m − 6 = 74
  3. 8n − 5 = 83
  4. 4y − 8 = 12
  5. 4x − 6 = 26
  6. 7x + 20 = 27
  7. 2n + 10 = 22
  8. 9p − 18 = 81
  9. 8n + 12 = 44
  10. 9x + 15 = 123
  11. 4x + 14 = 42
  12. 7x − 20 = 57

Equations with brackets

Class 7–8 · Worksheet 4 · set 80
Name:Date:Score:    / 10

Solve.

  1. 5(y − 1) + 12 = 52
  2. 6(y + 4) = 42
  3. 6(m − 9) + 13 = 19
  4. 4(x − 6) + 12 = 16
  5. 5(n − 3) + 11 = 41
  6. 5(m − 5) + 14 = 39
  7. 2(m − 8) + 3 = 9
  8. 5(n − 8) + 15 = 30
  9. 5(m − 2) + 6 = 11
  10. 3(m − 6) + 7 = 19

Variables on both sides

Class 8 · Worksheet 5 · set 80
Name:Date:Score:    / 10

Solve.

  1. 4n + 4 = n − 14
  2. 5x − 13 = 2x − 37
  3. 8m + 4 = 6m − 4
  4. 4x − 6 = 2x + 12
  5. 8y − 11 = 3y + 19
  6. 8y + 19 = 7y + 28
  7. 6y − 4 = 2y + 28
  8. 8m + 15 = 2m + 27
  9. 3x + 9 = 2x + 6
  10. 8x + 15 = 3x + 30

Equation word problems

Class 7–8 · Worksheet 6 · set 80
Name:Date:Score:    / 6

Form an equation and solve.

  1. I think of a number, multiply it by 4 and add 2. The answer is 42. What is the number?
  2. A father is 4 times as old as his son. The sum of their ages is 50 years. Find their ages.
  3. A father is 4 times as old as his son. The sum of their ages is 70 years. Find their ages.
  4. Ravi has ₹33 more than Asha. Together they have ₹367. How much money does Asha have?
  5. I think of a number, multiply it by 2 and add 12. The answer is 46. What is the number?
  6. The length of a rectangle is 6 cm more than its width. Its perimeter is 92 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).

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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.