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Free · Class 6–8 · 6 worksheets · answer keys · practise online · set 69

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 69
Name:Date:Score:    / 12

Solve.

  1. 15 + m = 20
  2. 3 + p = 6
  3. x + 16 = 25
  4. m − 15 = 15
  5. 1 + p = 11
  6. m + 16 = 34
  7. 20 + n = 44
  8. 9 + y = 14
  9. y − 22 = 5
  10. x + 21 = 47
  11. 26 + p = 40
  12. 17 + m = 46

One-step equations (× and ÷)

Class 6–7 · Worksheet 2 · set 69
Name:Date:Score:    / 12

Solve.

  1. 7n = 63
  2. 4x = 40
  3. p/7 = 13
  4. p/7 = 12
  5. 9p = 27
  6. 6n = 6
  7. 7m = 28
  8. x/6 = 5
  9. x/9 = 10
  10. y/4 = 6
  11. n/8 = 2
  12. 3n = 21

Two-step equations

Class 7 · Worksheet 3 · set 69
Name:Date:Score:    / 12

Solve.

  1. 3x + 20 = 50
  2. 6p + 20 = 86
  3. 9m + 6 = 105
  4. 7x + 2 = 44
  5. 8x + 9 = 73
  6. 5n + 15 = 70
  7. 5p − 3 = 42
  8. 9p − 5 = 94
  9. 4n + 19 = 35
  10. 4m + 11 = 55
  11. 6y − 3 = 9
  12. 7x − 6 = 71

Equations with brackets

Class 7–8 · Worksheet 4 · set 69
Name:Date:Score:    / 10

Solve.

  1. 2(n + 8) = 22
  2. 2(n − 4) + 13 = 25
  3. 2(m − 7) + 6 = 2
  4. 2(m + 2) = 6
  5. 3(y − 7) + 11 = −7
  6. 5(y + 9) = 60
  7. 4(m − 7) + 14 = 22
  8. 3(x + 3) = 36
  9. 3(x + 7) = 33
  10. 5(x − 1) + 7 = 7

Variables on both sides

Class 8 · Worksheet 5 · set 69
Name:Date:Score:    / 10

Solve.

  1. 3y + 19 = 2y + 15
  2. 8x − 4 = 4x + 32
  3. 9n − 19 = 7n − 3
  4. 9y + 11 = y + 3
  5. 6n − 15 = n − 50
  6. 9n − 20 = 8n − 22
  7. 8n − 18 = 6n − 24
  8. 6n + 16 = 2n + 36
  9. 3x − 18 = 2x − 11
  10. 7n − 18 = 5n − 8

Equation word problems

Class 7–8 · Worksheet 6 · set 69
Name:Date:Score:    / 6

Form an equation and solve.

  1. The length of a rectangle is 10 cm more than its width. Its perimeter is 84 cm. Find the length and the width.
  2. A father is 5 times as old as his son. The sum of their ages is 36 years. Find their ages.
  3. Ravi has ₹27 more than Asha. Together they have ₹427. How much money does Asha have?
  4. The sum of two consecutive numbers is 99. Find the numbers.
  5. A father is 5 times as old as his son. The sum of their ages is 66 years. Find their ages.
  6. I think of a number, multiply it by 6 and add 6. The answer is 60. 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.

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

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