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Free · Class 6–8 · 6 worksheets · answer keys · practise online · set 67

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 67
Name:Date:Score:    / 12

Solve.

  1. n + 18 = 26
  2. 16 + x = 31
  3. m − 7 = 9
  4. 21 + x = 24
  5. x − 12 = 14
  6. y + 6 = 27
  7. x + 25 = 37
  8. m − 4 = 20
  9. y − 12 = 3
  10. p + 13 = 22
  11. y − 11 = 8
  12. p + 25 = 52

One-step equations (× and ÷)

Class 6–7 · Worksheet 2 · set 67
Name:Date:Score:    / 12

Solve.

  1. n/6 = 6
  2. p/6 = 7
  3. 5m = 55
  4. 2n = 30
  5. 4p = 32
  6. m/6 = 5
  7. p/4 = 1
  8. m/6 = 11
  9. 5x = 35
  10. 9m = 27
  11. 8y = 80
  12. m/7 = 2

Two-step equations

Class 7 · Worksheet 3 · set 67
Name:Date:Score:    / 12

Solve.

  1. 6p + 8 = 80
  2. 4n − 9 = 11
  3. 2y + 2 = 20
  4. 3p − 6 = 12
  5. 7y + 18 = 67
  6. 9n + 5 = 50
  7. 5y + 2 = 52
  8. 7n − 7 = 14
  9. 6p + 20 = 68
  10. 8y − 14 = 10
  11. 4m + 15 = 59
  12. 5y + 1 = 56

Equations with brackets

Class 7–8 · Worksheet 4 · set 67
Name:Date:Score:    / 10

Solve.

  1. 4(y − 9) + 12 = 12
  2. 5(m − 6) + 15 = 25
  3. 3(n + 6) = 54
  4. 4(m + 9) = 84
  5. 5(m − 6) + 2 = 7
  6. 2(y − 9) + 15 = 19
  7. 3(m − 2) + 9 = 6
  8. 2(n − 7) + 11 = 13
  9. 5(m + 5) = 65
  10. 4(y − 9) + 2 = −30

Variables on both sides

Class 8 · Worksheet 5 · set 67
Name:Date:Score:    / 10

Solve.

  1. 4n − 19 = 3n − 14
  2. 4x + 16 = 3x + 17
  3. 9m − 3 = 7m + 9
  4. 3y + 15 = y + 33
  5. 7x − 15 = x − 57
  6. 5m + 11 = m + 15
  7. 6y + 12 = 5y + 16
  8. 4x − 2 = 3x + 3
  9. 8x − 5 = 7x + 4
  10. 3x − 9 = x − 25

Equation word problems

Class 7–8 · Worksheet 6 · set 67
Name:Date:Score:    / 6

Form an equation and solve.

  1. I think of a number, multiply it by 5 and add 16. The answer is 41. What is the number?
  2. Ravi has ₹14 more than Asha. Together they have ₹304. How much money does Asha have?
  3. The sum of two consecutive numbers is 47. Find the numbers.
  4. Ravi has ₹41 more than Asha. Together they have ₹273. How much money does Asha have?
  5. Ravi has ₹14 more than Asha. Together they have ₹104. How much money does Asha have?
  6. Ravi has ₹41 more than Asha. Together they have ₹365. 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.

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

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