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Free · Class 6–8 · 6 worksheets · answer keys · practise online · set 68

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 68
Name:Date:Score:    / 12

Solve.

  1. n + 5 = 12
  2. n + 30 = 45
  3. 13 + p = 22
  4. 29 + y = 52
  5. m − 16 = 13
  6. n + 29 = 42
  7. m − 6 = 23
  8. p − 1 = 13
  9. 14 + p = 30
  10. x + 20 = 29
  11. 9 + x = 14
  12. 6 + n = 19

One-step equations (× and ÷)

Class 6–7 · Worksheet 2 · set 68
Name:Date:Score:    / 12

Solve.

  1. p/6 = 14
  2. 9x = 108
  3. 6x = 84
  4. x/6 = 4
  5. 9p = 27
  6. 5m = 5
  7. y/6 = 14
  8. y/3 = 8
  9. n/8 = 15
  10. m/3 = 11
  11. 2y = 20
  12. 2p = 26

Two-step equations

Class 7 · Worksheet 3 · set 68
Name:Date:Score:    / 12

Solve.

  1. 4y + 4 = 20
  2. 6m + 6 = 72
  3. 7y + 20 = 34
  4. 4p + 6 = 46
  5. 9p − 3 = 42
  6. 3p + 8 = 17
  7. 6y + 11 = 29
  8. 3x + 6 = 24
  9. 5x − 10 = 20
  10. 3y − 14 = 7
  11. 2x − 9 = 3
  12. 6p − 15 = 21

Equations with brackets

Class 7–8 · Worksheet 4 · set 68
Name:Date:Score:    / 10

Solve.

  1. 6(y + 9) = 66
  2. 3(x − 9) + 12 = 18
  3. 5(x + 1) = 60
  4. 3(y − 6) + 6 = 9
  5. 6(n − 1) + 5 = 71
  6. 6(x − 1) + 10 = 76
  7. 5(y − 2) + 1 = 21
  8. 3(n + 5) = 48
  9. 4(m + 7) = 44
  10. 3(x + 6) = 39

Variables on both sides

Class 8 · Worksheet 5 · set 68
Name:Date:Score:    / 10

Solve.

  1. 3x − 17 = 2x − 12
  2. 6y + 19 = 3y + 34
  3. 5y − 17 = 4y − 23
  4. 5y − 14 = 2y + 7
  5. 6y + 20 = 5y + 17
  6. 7n − 4 = n − 46
  7. 5x − 2 = 4x + 2
  8. 4x + 7 = 3x + 16
  9. 3y − 3 = 2y − 2
  10. 7x + 9 = 2x + 34

Equation word problems

Class 7–8 · Worksheet 6 · set 68
Name:Date:Score:    / 6

Form an equation and solve.

  1. The sum of two consecutive numbers is 61. Find the numbers.
  2. A father is 4 times as old as his son. The sum of their ages is 70 years. Find their ages.
  3. The sum of two consecutive numbers is 57. Find the numbers.
  4. I think of a number, multiply it by 2 and add 18. The answer is 50. What is the number?
  5. Ravi has ₹26 more than Asha. Together they have ₹410. How much money does Asha have?
  6. The length of a rectangle is 6 cm more than its width. Its perimeter is 40 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?

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