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

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
Name:Date:Score:    / 12

Solve.

  1. 24 + x = 29
  2. 18 + x = 24
  3. m + 25 = 54
  4. y − 28 = 1
  5. 5 + p = 21
  6. p − 3 = 16
  7. 14 + y = 17
  8. 7 + n = 11
  9. 8 + y = 36
  10. 18 + y = 45
  11. y + 3 = 20
  12. 14 + m = 35

One-step equations (× and ÷)

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

Solve.

  1. x/2 = 13
  2. 7y = 98
  3. 4x = 20
  4. 5m = 60
  5. 5n = 75
  6. 8x = 80
  7. 3p = 45
  8. 2m = 10
  9. 3n = 3
  10. n/6 = 9
  11. 7y = 28
  12. 8p = 72

Two-step equations

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

Solve.

  1. 8y + 9 = 97
  2. 8n − 11 = 5
  3. 7m − 9 = 54
  4. 2m − 16 = 6
  5. 9m − 14 = 94
  6. 8y − 2 = 46
  7. 8m − 16 = 40
  8. 6y − 11 = 31
  9. 7n + 7 = 77
  10. 7m − 10 = 18
  11. 4p + 6 = 38
  12. 2p − 3 = 3

Equations with brackets

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

Solve.

  1. 6(m + 5) = 66
  2. 6(x + 3) = 72
  3. 6(x − 7) + 6 = 36
  4. 5(n + 2) = 15
  5. 4(n + 1) = 32
  6. 5(x + 1) = 25
  7. 4(x − 2) + 14 = 50
  8. 2(y − 8) + 7 = −3
  9. 3(n + 2) = 30
  10. 3(y + 3) = 39

Variables on both sides

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

Solve.

  1. 3n − 5 = 2n − 6
  2. 9y + 14 = y + 38
  3. 9n − 9 = 4n + 1
  4. 9x + 17 = 8x + 11
  5. 7m − 15 = 6m − 6
  6. 5x − 1 = 4x + 2
  7. 8y − 7 = 6y + 7
  8. 3n − 13 = 2n − 12
  9. 5y + 18 = 4y + 20
  10. 8n − 3 = n + 18

Equation word problems

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

Form an equation and solve.

  1. The sum of two consecutive numbers is 55. Find the numbers.
  2. A father is 5 times as old as his son. The sum of their ages is 30 years. Find their ages.
  3. The length of a rectangle is 5 cm more than its width. Its perimeter is 30 cm. Find the length and the width.
  4. I think of a number, multiply it by 3 and add 2. The answer is 56. What is the number?
  5. Ravi has ₹12 more than Asha. Together they have ₹392. How much money does Asha have?
  6. The length of a rectangle is 4 cm more than its width. Its perimeter is 52 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?

Press “🖨️ Print” on that worksheet. Tick “with answer key” if you want the answers on a second page.

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.