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Free · Class 6–8 · 6 worksheets · answer keys · practise online · set 70

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 70
Name:Date:Score:    / 12

Solve.

  1. m − 1 = 12
  2. 9 + m = 20
  3. y + 2 = 8
  4. 19 + p = 44
  5. 16 + x = 31
  6. p − 12 = 11
  7. m + 21 = 34
  8. p − 11 = 19
  9. y + 26 = 53
  10. 4 + x = 29
  11. 15 + x = 34
  12. y − 3 = 5

One-step equations (× and ÷)

Class 6–7 · Worksheet 2 · set 70
Name:Date:Score:    / 12

Solve.

  1. 4x = 56
  2. n/2 = 7
  3. 8x = 32
  4. n/7 = 5
  5. 4m = 44
  6. x/4 = 11
  7. 4p = 56
  8. m/5 = 1
  9. 8y = 24
  10. 6m = 30
  11. m/9 = 10
  12. y/9 = 13

Two-step equations

Class 7 · Worksheet 3 · set 70
Name:Date:Score:    / 12

Solve.

  1. 7p + 1 = 8
  2. 9x − 19 = 62
  3. 7m − 3 = 4
  4. 3p − 17 = 4
  5. 9y + 5 = 23
  6. 9n − 1 = 80
  7. 7y + 18 = 95
  8. 9n + 5 = 77
  9. 2x + 2 = 6
  10. 5y − 6 = 34
  11. 5y − 6 = 14
  12. 2y + 12 = 22

Equations with brackets

Class 7–8 · Worksheet 4 · set 70
Name:Date:Score:    / 10

Solve.

  1. 2(m + 1) = 24
  2. 2(x − 4) + 8 = 14
  3. 2(x − 5) + 4 = 10
  4. 6(y + 8) = 108
  5. 5(n + 6) = 45
  6. 5(y − 2) + 13 = 33
  7. 6(x + 3) = 30
  8. 2(n + 2) = 22
  9. 4(m − 9) + 14 = 10
  10. 4(m − 7) + 15 = 11

Variables on both sides

Class 8 · Worksheet 5 · set 70
Name:Date:Score:    / 10

Solve.

  1. 7m + 14 = 5m + 28
  2. 3m + 7 = 2m + 12
  3. 5x + 15 = 3x + 33
  4. 9y − 12 = 6y + 15
  5. 7y − 9 = 3y − 45
  6. 7m − 19 = 5m − 1
  7. 3x + 7 = 2x + 15
  8. 4n + 18 = n + 24
  9. 3y − 17 = y − 23
  10. 4y + 5 = y − 16

Equation word problems

Class 7–8 · Worksheet 6 · set 70
Name:Date:Score:    / 6

Form an equation and solve.

  1. The sum of two consecutive numbers is 95. Find the numbers.
  2. Ravi has ₹40 more than Asha. Together they have ₹180. How much money does Asha have?
  3. A father is 5 times as old as his son. The sum of their ages is 42 years. Find their ages.
  4. The length of a rectangle is 9 cm more than its width. Its perimeter is 38 cm. Find the length and the width.
  5. Ravi has ₹17 more than Asha. Together they have ₹241. How much money does Asha have?
  6. A father is 4 times as old as his son. The sum of their ages is 50 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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Can my child do this worksheet online, like a quiz?

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