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Free · Class 6–8 · 6 worksheets · answer keys · practise online · set 57

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 57
Name:Date:Score:    / 12

Solve.

  1. n + 13 = 29
  2. 19 + m = 22
  3. m + 25 = 52
  4. 8 + n = 30
  5. y + 9 = 33
  6. 10 + x = 24
  7. p + 21 = 26
  8. 30 + p = 40
  9. y + 20 = 26
  10. y + 12 = 30
  11. x + 16 = 26
  12. 8 + m = 15

One-step equations (× and ÷)

Class 6–7 · Worksheet 2 · set 57
Name:Date:Score:    / 12

Solve.

  1. y/6 = 1
  2. m/4 = 8
  3. 6x = 90
  4. p/4 = 12
  5. 3p = 18
  6. 4m = 16
  7. 8x = 104
  8. n/3 = 10
  9. 5n = 65
  10. 8x = 48
  11. 8n = 120
  12. n/2 = 3

Two-step equations

Class 7 · Worksheet 3 · set 57
Name:Date:Score:    / 12

Solve.

  1. 2n − 11 = 13
  2. 7p + 9 = 23
  3. 7y − 10 = 39
  4. 2n + 12 = 20
  5. 2y + 17 = 25
  6. 6m + 20 = 92
  7. 2p + 18 = 42
  8. 8m + 6 = 86
  9. 5p + 1 = 56
  10. 7x + 7 = 42
  11. 5n − 1 = 19
  12. 5m − 3 = 12

Equations with brackets

Class 7–8 · Worksheet 4 · set 57
Name:Date:Score:    / 10

Solve.

  1. 3(x − 2) + 13 = 16
  2. 5(n − 4) + 4 = 19
  3. 3(n + 9) = 42
  4. 6(n + 7) = 96
  5. 4(n + 7) = 76
  6. 3(y − 7) + 7 = −8
  7. 3(y − 5) + 4 = 7
  8. 4(n − 5) + 7 = 23
  9. 4(y + 2) = 28
  10. 3(y − 9) + 5 = 8

Variables on both sides

Class 8 · Worksheet 5 · set 57
Name:Date:Score:    / 10

Solve.

  1. 6n + 6 = 2n + 2
  2. 5n + 16 = 2n − 5
  3. 6x + 9 = 5x + 4
  4. 3x − 7 = 2x − 6
  5. 9n − 17 = 3n + 7
  6. 4m − 19 = 3m − 22
  7. 9n + 4 = 4n − 26
  8. 3n + 1 = 2n − 8
  9. 7x − 11 = 6x − 2
  10. 8n − 11 = 7n − 14

Equation word problems

Class 7–8 · Worksheet 6 · set 57
Name:Date:Score:    / 6

Form an equation and solve.

  1. A father is 4 times as old as his son. The sum of their ages is 45 years. Find their ages.
  2. I think of a number, multiply it by 2 and add 9. The answer is 47. What is the number?
  3. Ravi has ₹27 more than Asha. Together they have ₹285. How much money does Asha have?
  4. Ravi has ₹38 more than Asha. Together they have ₹356. How much money does Asha have?
  5. The sum of two consecutive numbers is 21. Find the numbers.
  6. I think of a number, multiply it by 3 and add 9. The answer is 18. 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?

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