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Free · Class 6–8 · 6 worksheets · answer keys · practise online · set 38

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 38
Name:Date:Score:    / 12

Solve.

  1. m − 11 = 14
  2. p − 7 = 9
  3. p + 4 = 29
  4. m + 4 = 20
  5. x − 4 = 11
  6. y − 2 = 27
  7. m − 1 = 17
  8. y + 3 = 25
  9. y + 18 = 21
  10. 12 + n = 15
  11. n − 3 = 18
  12. n + 24 = 26

One-step equations (× and ÷)

Class 6–7 · Worksheet 2 · set 38
Name:Date:Score:    / 12

Solve.

  1. m/3 = 13
  2. x/7 = 12
  3. p/6 = 7
  4. 2p = 20
  5. 6m = 18
  6. 5p = 60
  7. 6n = 24
  8. p/2 = 14
  9. 2m = 4
  10. m/7 = 12
  11. y/3 = 15
  12. 2y = 4

Two-step equations

Class 7 · Worksheet 3 · set 38
Name:Date:Score:    / 12

Solve.

  1. 6p + 14 = 20
  2. 7n − 3 = 46
  3. 8m − 15 = 25
  4. 2m − 13 = 3
  5. 9p + 19 = 109
  6. 2n − 15 = 1
  7. 7y − 18 = 24
  8. 5m + 9 = 39
  9. 7x + 5 = 75
  10. 2y + 2 = 16
  11. 7y − 16 = 54
  12. 3y + 2 = 8

Equations with brackets

Class 7–8 · Worksheet 4 · set 38
Name:Date:Score:    / 10

Solve.

  1. 4(y + 6) = 44
  2. 2(y + 3) = 22
  3. 4(y + 1) = 24
  4. 4(m − 5) + 14 = 34
  5. 4(y − 7) + 12 = 4
  6. 5(n + 3) = 75
  7. 6(y − 9) + 8 = 2
  8. 6(m + 4) = 90
  9. 2(x − 9) + 5 = −1
  10. 4(n − 1) + 3 = 35

Variables on both sides

Class 8 · Worksheet 5 · set 38
Name:Date:Score:    / 10

Solve.

  1. 7y − 3 = 2y + 32
  2. 4x − 16 = 2x − 14
  3. 3n + 19 = n + 11
  4. 8x − 17 = 4x − 41
  5. 9n − 7 = 2n − 42
  6. 5m − 16 = 2m − 13
  7. 4n + 6 = 3n
  8. 7m + 14 = 5m + 2
  9. 8y + 14 = 5y + 17
  10. 7m − 20 = 5m − 32

Equation word problems

Class 7–8 · Worksheet 6 · set 38
Name:Date:Score:    / 6

Form an equation and solve.

  1. The sum of two consecutive numbers is 119. Find the numbers.
  2. The sum of two consecutive numbers is 55. Find the numbers.
  3. The length of a rectangle is 10 cm more than its width. Its perimeter is 76 cm. Find the length and the width.
  4. Ravi has ₹6 more than Asha. Together they have ₹114. How much money does Asha have?
  5. I think of a number, multiply it by 5 and add 13. The answer is 53. What is the number?
  6. The sum of two consecutive numbers is 87. Find the numbers.

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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?

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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.