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Free · Class 6–8 · 6 worksheets · answer keys · practise online · set 14

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 14
Name:Date:Score:    / 12

Solve.

  1. 28 + p = 56
  2. p − 2 = 4
  3. y + 19 = 39
  4. 29 + y = 31
  5. x + 28 = 42
  6. p + 23 = 37
  7. 4 + m = 10
  8. x + 20 = 48
  9. p + 15 = 21
  10. y + 28 = 57
  11. x + 1 = 23
  12. n + 7 = 37

One-step equations (× and ÷)

Class 6–7 · Worksheet 2 · set 14
Name:Date:Score:    / 12

Solve.

  1. p/7 = 10
  2. 8n = 104
  3. 4x = 24
  4. p/7 = 6
  5. y/6 = 2
  6. x/6 = 13
  7. n/5 = 7
  8. 2x = 24
  9. y/3 = 7
  10. 5x = 60
  11. 5x = 10
  12. 2n = 18

Two-step equations

Class 7 · Worksheet 3 · set 14
Name:Date:Score:    / 12

Solve.

  1. 8m + 9 = 17
  2. 6n − 3 = 69
  3. 3y − 6 = 3
  4. 8x + 18 = 34
  5. 6y − 20 = 34
  6. 7y − 17 = 4
  7. 2n − 8 = 8
  8. 2p + 9 = 33
  9. 2m − 7 = 5
  10. 6n − 7 = 59
  11. 3x + 16 = 28
  12. 8x − 13 = 75

Equations with brackets

Class 7–8 · Worksheet 4 · set 14
Name:Date:Score:    / 10

Solve.

  1. 6(x + 5) = 36
  2. 4(x + 3) = 36
  3. 4(x − 2) + 2 = −2
  4. 2(n + 8) = 32
  5. 5(m + 3) = 55
  6. 3(n + 7) = 57
  7. 5(m + 9) = 105
  8. 6(x + 2) = 66
  9. 4(m − 6) + 10 = 18
  10. 6(n + 4) = 30

Variables on both sides

Class 8 · Worksheet 5 · set 14
Name:Date:Score:    / 10

Solve.

  1. 6y + 5 = y + 40
  2. 5n + 4 = 3n + 10
  3. 6n + 9 = 5n + 3
  4. 6y + 5 = 3y + 14
  5. 6m − 15 = 5m − 14
  6. 6n − 15 = 3n − 33
  7. 8m + 6 = 7m + 12
  8. 4y + 8 = 2y + 6
  9. 4n − 14 = n − 26
  10. 4x − 11 = 2x − 29

Equation word problems

Class 7–8 · Worksheet 6 · set 14
Name:Date:Score:    / 6

Form an equation and solve.

  1. I think of a number, multiply it by 2 and add 15. The answer is 31. What is the number?
  2. Ravi has ₹38 more than Asha. Together they have ₹82. How much money does Asha have?
  3. The sum of two consecutive numbers is 79. Find the numbers.
  4. I think of a number, multiply it by 3 and add 6. The answer is 57. What is the number?
  5. The sum of two consecutive numbers is 51. Find the numbers.
  6. Ravi has ₹47 more than Asha. Together they have ₹363. How much money does Asha have?

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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?

Press “🖨️ Print” on that worksheet. Tick “with answer key” if you want the answers on a second page.

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.