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Free · Class 6–8 · 6 worksheets · answer keys · practise online · set 51

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 51
Name:Date:Score:    / 12

Solve.

  1. 10 + x = 34
  2. 20 + m = 48
  3. m + 3 = 4
  4. y + 26 = 45
  5. 29 + n = 39
  6. m − 21 = 1
  7. x + 26 = 28
  8. 24 + x = 50
  9. n + 28 = 38
  10. p + 27 = 54
  11. n + 4 = 27
  12. m + 21 = 44

One-step equations (× and ÷)

Class 6–7 · Worksheet 2 · set 51
Name:Date:Score:    / 12

Solve.

  1. 8p = 80
  2. m/9 = 1
  3. 3p = 30
  4. y/6 = 4
  5. 4x = 12
  6. 7y = 35
  7. 9p = 27
  8. p/4 = 13
  9. m/6 = 14
  10. 7x = 77
  11. 9x = 126
  12. 6x = 24

Two-step equations

Class 7 · Worksheet 3 · set 51
Name:Date:Score:    / 12

Solve.

  1. 7x + 14 = 56
  2. 5y − 6 = 39
  3. 5n + 4 = 19
  4. 8x + 2 = 98
  5. 8m + 14 = 54
  6. 9p − 8 = 55
  7. 6x − 11 = 1
  8. 3x − 5 = 7
  9. 4p + 4 = 20
  10. 6y − 20 = 4
  11. 6n + 6 = 72
  12. 6m + 8 = 74

Equations with brackets

Class 7–8 · Worksheet 4 · set 51
Name:Date:Score:    / 10

Solve.

  1. 6(y − 8) + 11 = −1
  2. 5(y − 8) + 7 = −23
  3. 3(y + 8) = 54
  4. 4(n + 5) = 64
  5. 5(x + 7) = 50
  6. 6(y + 6) = 84
  7. 6(n + 8) = 120
  8. 6(x − 6) + 3 = −3
  9. 6(n − 4) + 12 = 42
  10. 6(x + 2) = 54

Variables on both sides

Class 8 · Worksheet 5 · set 51
Name:Date:Score:    / 10

Solve.

  1. 6x − 7 = 2x + 21
  2. 8x − 10 = 6x − 28
  3. 8y + 3 = y + 31
  4. 7n + 2 = 3n + 6
  5. 5n − 12 = 3n − 2
  6. 7n + 12 = 6n + 16
  7. 8m − 15 = 6m + 1
  8. 6y + 17 = y − 23
  9. 8x − 14 = 5x − 26
  10. 4m − 15 = 2m + 1

Equation word problems

Class 7–8 · Worksheet 6 · set 51
Name:Date:Score:    / 6

Form an equation and solve.

  1. The sum of two consecutive numbers is 103. Find the numbers.
  2. A father is 3 times as old as his son. The sum of their ages is 28 years. Find their ages.
  3. Ravi has ₹33 more than Asha. Together they have ₹99. How much money does Asha have?
  4. I think of a number, multiply it by 3 and add 14. The answer is 47. What is the number?
  5. A father is 3 times as old as his son. The sum of their ages is 20 years. Find their ages.
  6. I think of a number, multiply it by 2 and add 12. The answer is 20. 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?

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