Apps

TalentJR apps

How the apps work →
Free · Class 6–8 · 6 worksheets · answer keys · practise online · set 35

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.

💡 Learn it first

⚖️ The worksheets

🔄 New set of questions

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 35
Name:Date:Score:    / 12

Solve.

  1. y + 4 = 32
  2. p + 7 = 37
  3. x + 3 = 31
  4. p + 7 = 20
  5. x − 1 = 27
  6. m + 28 = 57
  7. m + 22 = 23
  8. m − 17 = 12
  9. 15 + n = 17
  10. 17 + m = 38
  11. y + 22 = 45
  12. n − 5 = 20

One-step equations (× and ÷)

Class 6–7 · Worksheet 2 · set 35
Name:Date:Score:    / 12

Solve.

  1. m/2 = 2
  2. 6p = 84
  3. y/6 = 13
  4. 8m = 56
  5. 5p = 35
  6. 3n = 21
  7. 8y = 120
  8. x/7 = 15
  9. 5x = 55
  10. 3y = 12
  11. 3y = 9
  12. x/8 = 13

Two-step equations

Class 7 · Worksheet 3 · set 35
Name:Date:Score:    / 12

Solve.

  1. 8m + 12 = 44
  2. 8n + 9 = 89
  3. 7n − 6 = 50
  4. 8y − 12 = 76
  5. 9y − 12 = 15
  6. 3x + 8 = 41
  7. 6p − 11 = 61
  8. 4y − 7 = 5
  9. 3m + 7 = 10
  10. 2y + 13 = 29
  11. 2m − 7 = 1
  12. 7n − 3 = 18

Equations with brackets

Class 7–8 · Worksheet 4 · set 35
Name:Date:Score:    / 10

Solve.

  1. 6(n − 4) + 2 = 32
  2. 2(x + 8) = 18
  3. 4(m + 5) = 56
  4. 4(m + 6) = 44
  5. 6(n + 7) = 72
  6. 3(x + 6) = 21
  7. 6(y − 5) + 11 = 29
  8. 4(n − 5) + 2 = −10
  9. 2(y − 5) + 9 = 15
  10. 6(y − 2) + 2 = 32

Variables on both sides

Class 8 · Worksheet 5 · set 35
Name:Date:Score:    / 10

Solve.

  1. 9m − 20 = 8m − 17
  2. 4m − 6 = 2m + 4
  3. 3y − 14 = y − 10
  4. 6n + 20 = 2n + 56
  5. 6m − 13 = m − 18
  6. 3m + 12 = 2m + 6
  7. 4m − 19 = m − 13
  8. 5y − 5 = 4y − 12
  9. 9m − 2 = 6m + 1
  10. 8m + 2 = 2m − 16

Equation word problems

Class 7–8 · Worksheet 6 · set 35
Name:Date:Score:    / 6

Form an equation and solve.

  1. The length of a rectangle is 9 cm more than its width. Its perimeter is 30 cm. Find the length and the width.
  2. I think of a number, multiply it by 6 and add 4. The answer is 58. What is the number?
  3. Ravi has ₹9 more than Asha. Together they have ₹373. How much money does Asha have?
  4. I think of a number, multiply it by 3 and add 10. The answer is 55. What is the number?
  5. The length of a rectangle is 1 cm more than its width. Its perimeter is 22 cm. Find the length and the width.
  6. A father is 3 times as old as his son. The sum of their ages is 24 years. Find their ages.

More worksheets

🔤 Algebraic expressions worksheet📉 Linear equations in two variables➕➖ Integers worksheet Noun worksheetsPronoun worksheetsArticles worksheetTenses worksheetPrepositions worksheetSubtraction worksheets All worksheets

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).

How do I print only one worksheet?

Press “🖨️ Print” on that worksheet. Tick “with answer key” if you want the answers on a second page.

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

Yes — press “▶️ Practise online” on any worksheet. The questions come one at a time with instant marking, a score at the end and a review of mistakes. No sign-in is needed.