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Free · Class 6–8 · 6 worksheets · answer keys · practise online · set 53

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 53
Name:Date:Score:    / 12

Solve.

  1. 18 + m = 44
  2. m − 8 = 21
  3. 25 + n = 35
  4. m + 28 = 54
  5. 28 + p = 58
  6. y + 23 = 40
  7. 4 + p = 33
  8. y + 3 = 29
  9. 2 + p = 15
  10. p + 16 = 34
  11. y + 2 = 13
  12. 4 + p = 27

One-step equations (× and ÷)

Class 6–7 · Worksheet 2 · set 53
Name:Date:Score:    / 12

Solve.

  1. m/9 = 3
  2. 3p = 45
  3. n/7 = 5
  4. x/6 = 3
  5. n/8 = 10
  6. 3p = 15
  7. 9m = 81
  8. 4y = 4
  9. 4p = 4
  10. m/6 = 7
  11. x/5 = 9
  12. 5y = 5

Two-step equations

Class 7 · Worksheet 3 · set 53
Name:Date:Score:    / 12

Solve.

  1. 5x + 18 = 48
  2. 2m + 13 = 23
  3. 4n − 3 = 29
  4. 2m − 6 = 10
  5. 6x − 7 = 5
  6. 6p + 7 = 55
  7. 7x − 7 = 14
  8. 9n + 6 = 33
  9. 9m + 8 = 62
  10. 5n − 17 = 23
  11. 9p − 13 = 23
  12. 8p − 20 = 60

Equations with brackets

Class 7–8 · Worksheet 4 · set 53
Name:Date:Score:    / 10

Solve.

  1. 5(y + 8) = 95
  2. 2(y + 5) = 32
  3. 2(x − 2) + 13 = 15
  4. 2(n − 8) + 2 = 8
  5. 6(y − 2) + 14 = 56
  6. 4(x + 4) = 40
  7. 2(y − 9) + 10 = −4
  8. 6(y − 4) + 11 = 47
  9. 6(n − 3) + 2 = 38
  10. 3(x + 6) = 21

Variables on both sides

Class 8 · Worksheet 5 · set 53
Name:Date:Score:    / 10

Solve.

  1. 7n − 20 = 6n − 18
  2. 8y + 18 = 2y
  3. 3n − 9 = n − 13
  4. 7x − 20 = x − 50
  5. 7m − 10 = 5m − 8
  6. 9m − 10 = 4m − 30
  7. 6y + 6 = 3y + 9
  8. 6x + 18 = 2x + 14
  9. 9m + 14 = m + 70
  10. 3m + 1 = m + 7

Equation word problems

Class 7–8 · Worksheet 6 · set 53
Name:Date:Score:    / 6

Form an equation and solve.

  1. I think of a number, multiply it by 5 and add 11. The answer is 101. What is the number?
  2. I think of a number, multiply it by 2 and add 14. The answer is 52. What is the number?
  3. A father is 3 times as old as his son. The sum of their ages is 24 years. Find their ages.
  4. Ravi has ₹19 more than Asha. Together they have ₹97. How much money does Asha have?
  5. The length of a rectangle is 3 cm more than its width. Its perimeter is 70 cm. Find the length and the width.
  6. I think of a number, multiply it by 6 and add 17. The answer is 89. What is the number?

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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.