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Free · Class 6–8 · 6 worksheets · answer keys · practise online · set 9

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 9
Name:Date:Score:    / 12

Solve.

  1. 12 + m = 38
  2. m − 4 = 13
  3. n − 15 = 12
  4. 25 + x = 40
  5. 24 + n = 47
  6. n + 24 = 51
  7. 16 + y = 45
  8. 13 + x = 29
  9. x + 29 = 46
  10. m + 5 = 29
  11. n − 10 = 5
  12. 2 + y = 10

One-step equations (× and ÷)

Class 6–7 · Worksheet 2 · set 9
Name:Date:Score:    / 12

Solve.

  1. 5p = 55
  2. y/5 = 4
  3. 8m = 112
  4. x/9 = 14
  5. 9n = 90
  6. 6m = 30
  7. p/3 = 3
  8. 7y = 77
  9. x/5 = 13
  10. x/5 = 1
  11. 4x = 24
  12. y/6 = 2

Two-step equations

Class 7 · Worksheet 3 · set 9
Name:Date:Score:    / 12

Solve.

  1. 8p + 1 = 9
  2. 7y − 15 = 41
  3. 3m + 15 = 42
  4. 4m + 14 = 18
  5. 6y − 17 = 7
  6. 9n − 18 = 18
  7. 8m − 9 = 31
  8. 8p − 5 = 19
  9. 7y − 4 = 17
  10. 4y + 3 = 31
  11. 4p − 17 = 27
  12. 6m − 6 = 30

Equations with brackets

Class 7–8 · Worksheet 4 · set 9
Name:Date:Score:    / 10

Solve.

  1. 2(n + 2) = 26
  2. 3(y + 8) = 30
  3. 3(y + 5) = 27
  4. 2(y − 6) + 14 = 26
  5. 2(m − 9) + 13 = 7
  6. 2(n − 5) + 7 = 7
  7. 5(n + 6) = 80
  8. 6(x − 1) + 3 = 57
  9. 5(n + 8) = 95
  10. 5(n + 9) = 75

Variables on both sides

Class 8 · Worksheet 5 · set 9
Name:Date:Score:    / 10

Solve.

  1. 5m − 14 = 2m − 26
  2. 8m − 6 = 2m + 12
  3. 4y − 10 = 3y − 19
  4. 9m − 19 = 4m + 6
  5. 5y − 6 = 2y + 6
  6. 5m − 14 = m − 22
  7. 9m + 12 = 3m − 6
  8. 9x + 3 = 6x − 12
  9. 3y − 12 = 2y − 18
  10. 4m + 5 = m + 14

Equation word problems

Class 7–8 · Worksheet 6 · set 9
Name:Date:Score:    / 6

Form an equation and solve.

  1. Ravi has ₹45 more than Asha. Together they have ₹221. How much money does Asha have?
  2. Ravi has ₹47 more than Asha. Together they have ₹441. How much money does Asha have?
  3. A father is 4 times as old as his son. The sum of their ages is 75 years. Find their ages.
  4. The length of a rectangle is 6 cm more than its width. Its perimeter is 40 cm. Find the length and the width.
  5. I think of a number, multiply it by 3 and add 1. The answer is 34. What is the number?
  6. The sum of two consecutive numbers is 29. 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).

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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.