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Free · Class 6–8 · 6 worksheets · answer keys · practise online · set 47

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 47
Name:Date:Score:    / 12

Solve.

  1. y + 30 = 55
  2. n + 14 = 23
  3. x + 9 = 17
  4. 1 + y = 28
  5. 8 + p = 24
  6. 22 + m = 33
  7. p + 14 = 26
  8. 10 + p = 31
  9. x + 4 = 32
  10. 11 + p = 33
  11. x + 16 = 33
  12. 1 + x = 22

One-step equations (× and ÷)

Class 6–7 · Worksheet 2 · set 47
Name:Date:Score:    / 12

Solve.

  1. m/4 = 11
  2. x/3 = 3
  3. 9n = 45
  4. m/2 = 4
  5. n/4 = 5
  6. p/8 = 7
  7. 4n = 28
  8. x/9 = 6
  9. 5y = 60
  10. 3n = 27
  11. 9y = 90
  12. p/7 = 2

Two-step equations

Class 7 · Worksheet 3 · set 47
Name:Date:Score:    / 12

Solve.

  1. 8y − 8 = 48
  2. 3n − 5 = 4
  3. 9x + 11 = 110
  4. 6m + 4 = 40
  5. 5y − 3 = 57
  6. 8m − 6 = 18
  7. 5y + 10 = 65
  8. 6m + 7 = 49
  9. 4n − 10 = 26
  10. 8n − 13 = 35
  11. 5y − 17 = 33
  12. 2n − 2 = 4

Equations with brackets

Class 7–8 · Worksheet 4 · set 47
Name:Date:Score:    / 10

Solve.

  1. 5(y + 9) = 100
  2. 4(x − 4) + 2 = 6
  3. 2(x + 6) = 24
  4. 5(m − 7) + 4 = 19
  5. 4(y − 4) + 4 = 36
  6. 4(m + 4) = 24
  7. 4(x − 6) + 11 = 3
  8. 6(n + 6) = 54
  9. 2(m + 8) = 36
  10. 2(n − 4) + 3 = 17

Variables on both sides

Class 8 · Worksheet 5 · set 47
Name:Date:Score:    / 10

Solve.

  1. 9y + 19 = 6y + 22
  2. 9n − 16 = n − 8
  3. 6y − 17 = 3y − 8
  4. 7y − 14 = 6y − 5
  5. 8m − 2 = 3m − 17
  6. 6m − 16 = 5m − 9
  7. 3x − 2 = 2x − 1
  8. 9y − 4 = 3y + 44
  9. 4m − 18 = 3m − 20
  10. 7y − 6 = 2y + 9

Equation word problems

Class 7–8 · Worksheet 6 · set 47
Name:Date:Score:    / 6

Form an equation and solve.

  1. Ravi has ₹38 more than Asha. Together they have ₹90. How much money does Asha have?
  2. I think of a number, multiply it by 6 and add 7. The answer is 79. What is the number?
  3. Ravi has ₹40 more than Asha. Together they have ₹310. How much money does Asha have?
  4. A father is 3 times as old as his son. The sum of their ages is 24 years. Find their ages.
  5. I think of a number, multiply it by 5 and add 2. The answer is 97. What is the number?
  6. A father is 5 times as old as his son. The sum of their ages is 72 years. Find their ages.

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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.

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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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