Apps

TalentJR apps

How the apps work →
Free · Class 6–8 · 6 worksheets · answer keys · practise online · set 61

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 61
Name:Date:Score:    / 12

Solve.

  1. x − 5 = 25
  2. 10 + x = 17
  3. p + 3 = 21
  4. x − 7 = 22
  5. 20 + y = 26
  6. p − 11 = 10
  7. 23 + x = 25
  8. p + 23 = 38
  9. n + 27 = 42
  10. x − 8 = 5
  11. 25 + n = 43
  12. 13 + n = 20

One-step equations (× and ÷)

Class 6–7 · Worksheet 2 · set 61
Name:Date:Score:    / 12

Solve.

  1. n/4 = 8
  2. 2p = 18
  3. p/3 = 15
  4. n/3 = 7
  5. 5m = 50
  6. 7y = 49
  7. p/4 = 13
  8. 8x = 64
  9. 5x = 35
  10. p/7 = 6
  11. m/4 = 3
  12. 5x = 15

Two-step equations

Class 7 · Worksheet 3 · set 61
Name:Date:Score:    / 12

Solve.

  1. 6m + 16 = 52
  2. 7x − 12 = 37
  3. 6m − 1 = 47
  4. 5y + 2 = 27
  5. 9x + 9 = 18
  6. 2x − 9 = 5
  7. 4n + 12 = 48
  8. 2y − 1 = 1
  9. 3p + 17 = 26
  10. 3p + 14 = 44
  11. 8p + 11 = 59
  12. 6n + 14 = 44

Equations with brackets

Class 7–8 · Worksheet 4 · set 61
Name:Date:Score:    / 10

Solve.

  1. 6(m − 7) + 2 = 20
  2. 4(n + 6) = 52
  3. 4(n + 6) = 32
  4. 5(n + 3) = 45
  5. 5(y + 4) = 40
  6. 6(x − 4) + 1 = 31
  7. 4(n + 7) = 48
  8. 3(y + 2) = 9
  9. 6(n − 4) + 13 = 55
  10. 6(n − 2) + 7 = 25

Variables on both sides

Class 8 · Worksheet 5 · set 61
Name:Date:Score:    / 10

Solve.

  1. 6n + 11 = 4n + 27
  2. 6m − 6 = 4m − 24
  3. 4m + 6 = 3m + 8
  4. 3n + 8 = 2n
  5. 3m + 15 = 2m + 14
  6. 8y + 16 = 4y + 40
  7. 4x − 20 = 2x − 30
  8. 7m + 11 = 6m + 13
  9. 5m + 7 = 2m + 10
  10. 6x + 19 = 5x + 21

Equation word problems

Class 7–8 · Worksheet 6 · set 61
Name:Date:Score:    / 6

Form an equation and solve.

  1. I think of a number, multiply it by 2 and add 11. The answer is 51. What is the number?
  2. The sum of two consecutive numbers is 91. Find the numbers.
  3. The length of a rectangle is 8 cm more than its width. Its perimeter is 60 cm. Find the length and the width.
  4. The sum of two consecutive numbers is 103. Find the numbers.
  5. Ravi has ₹39 more than Asha. Together they have ₹393. How much money does Asha have?
  6. Ravi has ₹37 more than Asha. Together they have ₹235. How much money does Asha have?

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.