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Free · Class 6–8 · 6 worksheets · answer keys · practise online · set 65

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 65
Name:Date:Score:    / 12

Solve.

  1. y − 5 = 7
  2. m + 14 = 33
  3. 25 + m = 27
  4. 3 + x = 28
  5. x + 29 = 51
  6. n − 22 = 8
  7. p − 4 = 12
  8. m − 7 = 19
  9. m + 14 = 44
  10. 3 + p = 26
  11. 25 + x = 49
  12. n − 1 = 10

One-step equations (× and ÷)

Class 6–7 · Worksheet 2 · set 65
Name:Date:Score:    / 12

Solve.

  1. x/8 = 13
  2. m/4 = 4
  3. n/5 = 6
  4. 3p = 33
  5. y/6 = 7
  6. p/7 = 8
  7. m/7 = 3
  8. 5x = 15
  9. 7x = 35
  10. 4n = 32
  11. m/8 = 7
  12. y/8 = 14

Two-step equations

Class 7 · Worksheet 3 · set 65
Name:Date:Score:    / 12

Solve.

  1. 8m − 4 = 36
  2. 3p + 20 = 47
  3. 7p + 12 = 26
  4. 8n + 13 = 37
  5. 3n + 8 = 14
  6. 9x − 3 = 96
  7. 9p + 5 = 41
  8. 7y − 9 = 54
  9. 9x + 16 = 70
  10. 2p + 12 = 34
  11. 8y + 3 = 51
  12. 5m + 7 = 62

Equations with brackets

Class 7–8 · Worksheet 4 · set 65
Name:Date:Score:    / 10

Solve.

  1. 4(x − 3) + 2 = 2
  2. 3(x − 5) + 9 = 21
  3. 6(m + 8) = 108
  4. 2(y + 3) = 20
  5. 6(n − 9) + 1 = −11
  6. 5(n − 6) + 5 = 35
  7. 5(x + 5) = 75
  8. 4(y − 8) + 6 = −14
  9. 2(m + 5) = 18
  10. 3(m − 8) + 14 = 23

Variables on both sides

Class 8 · Worksheet 5 · set 65
Name:Date:Score:    / 10

Solve.

  1. 4m − 16 = m − 37
  2. 4n + 8 = n + 32
  3. 8x + 7 = 2x + 13
  4. 6m − 11 = 5m − 2
  5. 4y − 15 = 3y − 11
  6. 6n − 14 = 3n − 35
  7. 5x + 17 = 2x + 20
  8. 3n − 10 = n − 14
  9. 4n − 8 = 3n − 2
  10. 6n + 14 = 4n + 4

Equation word problems

Class 7–8 · Worksheet 6 · set 65
Name:Date:Score:    / 6

Form an equation and solve.

  1. Ravi has ₹41 more than Asha. Together they have ₹257. How much money does Asha have?
  2. The sum of two consecutive numbers is 111. Find the numbers.
  3. I think of a number, multiply it by 3 and add 18. The answer is 42. What is the number?
  4. I think of a number, multiply it by 3 and add 4. The answer is 37. What is the number?
  5. Ravi has ₹11 more than Asha. Together they have ₹303. How much money does Asha have?
  6. Ravi has ₹26 more than Asha. Together they have ₹132. 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).

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Can my child do this worksheet online, like a quiz?

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