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Free · Class 6–8 · 6 worksheets · answer keys · practise online · set 56

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 56
Name:Date:Score:    / 12

Solve.

  1. x + 11 = 20
  2. 13 + p = 35
  3. 10 + p = 27
  4. 13 + p = 15
  5. 19 + x = 38
  6. x + 5 = 32
  7. 26 + n = 37
  8. 17 + m = 46
  9. y + 10 = 37
  10. 29 + y = 57
  11. x + 30 = 37
  12. 25 + m = 50

One-step equations (× and ÷)

Class 6–7 · Worksheet 2 · set 56
Name:Date:Score:    / 12

Solve.

  1. 5y = 20
  2. 8m = 48
  3. 7n = 91
  4. x/4 = 10
  5. 2x = 14
  6. 7n = 77
  7. 3n = 42
  8. 3m = 33
  9. p/6 = 14
  10. n/8 = 1
  11. 4y = 16
  12. x/5 = 5

Two-step equations

Class 7 · Worksheet 3 · set 56
Name:Date:Score:    / 12

Solve.

  1. 8y + 15 = 31
  2. 6y + 12 = 18
  3. 7p − 4 = 10
  4. 7m + 19 = 75
  5. 9n − 9 = 99
  6. 5p + 14 = 74
  7. 2x + 3 = 13
  8. 7m + 15 = 99
  9. 7m + 10 = 73
  10. 4p − 8 = 28
  11. 7m + 7 = 77
  12. 6m − 15 = 9

Equations with brackets

Class 7–8 · Worksheet 4 · set 56
Name:Date:Score:    / 10

Solve.

  1. 6(x − 9) + 3 = −21
  2. 2(x + 6) = 22
  3. 2(x − 4) + 15 = 21
  4. 2(y + 3) = 18
  5. 4(m − 3) + 2 = 18
  6. 3(y + 7) = 27
  7. 2(m − 7) + 15 = 15
  8. 5(y + 1) = 45
  9. 3(n + 4) = 15
  10. 5(n + 5) = 35

Variables on both sides

Class 8 · Worksheet 5 · set 56
Name:Date:Score:    / 10

Solve.

  1. 8n + 5 = n − 9
  2. 6m − 5 = 4m − 13
  3. 3m + 8 = m − 6
  4. 7n + 19 = 4n + 37
  5. 8y + 8 = 6y − 10
  6. 7n − 5 = 5n − 11
  7. 7x − 10 = x − 16
  8. 5n + 11 = 2n + 35
  9. 3y + 4 = y + 22
  10. 8y − 17 = 7y − 26

Equation word problems

Class 7–8 · Worksheet 6 · set 56
Name:Date:Score:    / 6

Form an equation and solve.

  1. Ravi has ₹29 more than Asha. Together they have ₹303. How much money does Asha have?
  2. I think of a number, multiply it by 2 and add 9. The answer is 13. What is the number?
  3. I think of a number, multiply it by 3 and add 5. The answer is 65. What is the number?
  4. I think of a number, multiply it by 6 and add 19. The answer is 109. What is the number?
  5. A father is 4 times as old as his son. The sum of their ages is 65 years. Find their ages.
  6. The length of a rectangle is 2 cm more than its width. Its perimeter is 16 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.