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Free · Class 6–8 · 6 worksheets · answer keys · practise online · set 71

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 71
Name:Date:Score:    / 12

Solve.

  1. 7 + p = 31
  2. n + 16 = 19
  3. 18 + x = 19
  4. y − 4 = 20
  5. 21 + n = 26
  6. 15 + n = 19
  7. m − 6 = 14
  8. m − 3 = 16
  9. 20 + p = 39
  10. x + 12 = 40
  11. x − 15 = 5
  12. y + 22 = 31

One-step equations (× and ÷)

Class 6–7 · Worksheet 2 · set 71
Name:Date:Score:    / 12

Solve.

  1. 7m = 84
  2. 4y = 36
  3. 2n = 12
  4. n/8 = 10
  5. p/5 = 10
  6. x/8 = 4
  7. 9x = 126
  8. y/8 = 11
  9. p/5 = 9
  10. 5x = 15
  11. y/6 = 13
  12. p/8 = 9

Two-step equations

Class 7 · Worksheet 3 · set 71
Name:Date:Score:    / 12

Solve.

  1. 7y − 14 = 28
  2. 7x + 11 = 88
  3. 6y + 2 = 74
  4. 2n + 19 = 31
  5. 5m − 4 = 51
  6. 4m + 3 = 43
  7. 9y + 2 = 20
  8. 5y − 5 = 5
  9. 9p − 17 = 64
  10. 7x + 20 = 27
  11. 5m − 7 = 38
  12. 9y − 9 = 90

Equations with brackets

Class 7–8 · Worksheet 4 · set 71
Name:Date:Score:    / 10

Solve.

  1. 3(n + 7) = 48
  2. 2(m − 2) + 13 = 27
  3. 4(y − 3) + 12 = 44
  4. 4(n − 5) + 15 = 23
  5. 3(n − 1) + 8 = 41
  6. 5(y − 9) + 3 = −37
  7. 2(n + 4) = 20
  8. 3(y − 3) + 15 = 27
  9. 5(y − 7) + 15 = 15
  10. 2(n − 8) + 13 = 13

Variables on both sides

Class 8 · Worksheet 5 · set 71
Name:Date:Score:    / 10

Solve.

  1. 5m − 17 = 3m − 29
  2. 3x − 14 = 2x − 23
  3. 4n − 20 = 2n − 16
  4. 4n + 7 = 2n + 3
  5. 5m + 3 = 4m − 2
  6. 6n + 5 = 5n + 10
  7. 8x − 3 = 7x + 2
  8. 4x + 13 = x + 40
  9. 9n + 16 = 3n + 58
  10. 7m − 20 = 3m

Equation word problems

Class 7–8 · Worksheet 6 · set 71
Name:Date:Score:    / 6

Form an equation and solve.

  1. The sum of two consecutive numbers is 105. Find the numbers.
  2. Ravi has ₹44 more than Asha. Together they have ₹402. How much money does Asha have?
  3. Ravi has ₹5 more than Asha. Together they have ₹387. How much money does Asha have?
  4. Ravi has ₹20 more than Asha. Together they have ₹242. How much money does Asha have?
  5. The length of a rectangle is 10 cm more than its width. Its perimeter is 64 cm. Find the length and the width.
  6. A father is 5 times as old as his son. The sum of their ages is 30 years. Find their ages.

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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.

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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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