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Free · Class 6–8 · 6 worksheets · answer keys · practise online · set 50

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 50
Name:Date:Score:    / 12

Solve.

  1. x − 22 = 6
  2. 28 + x = 38
  3. p − 25 = 3
  4. 21 + x = 28
  5. p + 19 = 35
  6. m + 23 = 32
  7. p + 1 = 17
  8. m + 6 = 18
  9. p + 26 = 32
  10. y + 21 = 34
  11. 28 + x = 29
  12. m − 1 = 18

One-step equations (× and ÷)

Class 6–7 · Worksheet 2 · set 50
Name:Date:Score:    / 12

Solve.

  1. 4p = 32
  2. 7x = 21
  3. m/5 = 6
  4. 3x = 21
  5. p/8 = 7
  6. p/6 = 3
  7. x/5 = 7
  8. 6m = 24
  9. n/9 = 14
  10. m/2 = 15
  11. 5m = 20
  12. n/9 = 12

Two-step equations

Class 7 · Worksheet 3 · set 50
Name:Date:Score:    / 12

Solve.

  1. 9m + 1 = 91
  2. 7y + 3 = 31
  3. 9p − 8 = 100
  4. 9x − 7 = 74
  5. 7n − 1 = 34
  6. 3m + 12 = 33
  7. 9x − 12 = 96
  8. 9p + 2 = 101
  9. 7n + 5 = 68
  10. 3p + 10 = 22
  11. 7p + 2 = 9
  12. 9n + 17 = 98

Equations with brackets

Class 7–8 · Worksheet 4 · set 50
Name:Date:Score:    / 10

Solve.

  1. 3(n + 9) = 45
  2. 4(m + 7) = 52
  3. 6(y + 1) = 54
  4. 3(m + 7) = 42
  5. 4(n − 4) + 13 = 45
  6. 5(n + 5) = 80
  7. 3(m + 5) = 39
  8. 6(x − 8) + 4 = −38
  9. 2(x + 1) = 8
  10. 2(n + 4) = 20

Variables on both sides

Class 8 · Worksheet 5 · set 50
Name:Date:Score:    / 10

Solve.

  1. 9n − 4 = 4n − 24
  2. 4n + 9 = 2n + 23
  3. 3n + 19 = n + 11
  4. 8y + 12 = y + 75
  5. 6n − 7 = 5n − 2
  6. 4y + 1 = 3y − 5
  7. 7y + 4 = 2y − 1
  8. 7m − 14 = 6m − 23
  9. 9x − 17 = 6x + 4
  10. 8n − 12 = 7n − 19

Equation word problems

Class 7–8 · Worksheet 6 · set 50
Name:Date:Score:    / 6

Form an equation and solve.

  1. Ravi has ₹48 more than Asha. Together they have ₹332. How much money does Asha have?
  2. A father is 5 times as old as his son. The sum of their ages is 72 years. Find their ages.
  3. Ravi has ₹47 more than Asha. Together they have ₹211. How much money does Asha have?
  4. Ravi has ₹21 more than Asha. Together they have ₹239. How much money does Asha have?
  5. I think of a number, multiply it by 2 and add 16. The answer is 54. What is the number?
  6. I think of a number, multiply it by 6 and add 17. The answer is 107. 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?

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.