Apps

TalentJR apps

How the apps work →
Free · Class 6–8 · 6 worksheets · answer keys · practise online · set 63

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 63
Name:Date:Score:    / 12

Solve.

  1. 7 + y = 9
  2. p + 23 = 36
  3. y + 26 = 47
  4. n + 19 = 24
  5. p − 5 = 16
  6. x + 3 = 21
  7. 5 + n = 22
  8. n + 27 = 38
  9. y − 1 = 17
  10. n + 8 = 27
  11. 11 + n = 38
  12. 9 + m = 28

One-step equations (× and ÷)

Class 6–7 · Worksheet 2 · set 63
Name:Date:Score:    / 12

Solve.

  1. 4m = 28
  2. p/3 = 12
  3. n/2 = 3
  4. x/5 = 13
  5. p/5 = 8
  6. 3x = 36
  7. y/9 = 7
  8. m/2 = 2
  9. 3p = 45
  10. y/2 = 9
  11. p/7 = 15
  12. 3y = 21

Two-step equations

Class 7 · Worksheet 3 · set 63
Name:Date:Score:    / 12

Solve.

  1. 7x + 15 = 22
  2. 8m + 15 = 79
  3. 9m + 5 = 113
  4. 2p + 11 = 33
  5. 2y − 1 = 7
  6. 3x + 1 = 37
  7. 5n + 14 = 44
  8. 5p − 15 = 20
  9. 5n + 5 = 10
  10. 2y + 9 = 27
  11. 3m − 9 = 15
  12. 2x + 11 = 33

Equations with brackets

Class 7–8 · Worksheet 4 · set 63
Name:Date:Score:    / 10

Solve.

  1. 4(y + 1) = 28
  2. 4(m − 5) + 1 = 9
  3. 5(m + 2) = 65
  4. 5(y + 4) = 75
  5. 4(y − 2) + 7 = 39
  6. 3(x − 3) + 5 = 5
  7. 2(x + 5) = 14
  8. 4(m − 9) + 9 = 5
  9. 5(m − 9) + 1 = −9
  10. 6(x − 7) + 3 = −3

Variables on both sides

Class 8 · Worksheet 5 · set 63
Name:Date:Score:    / 10

Solve.

  1. 4y − 11 = 3y − 13
  2. 5y + 20 = 4y + 28
  3. 6n + 7 = 5n + 2
  4. 9n + 14 = 7n + 30
  5. 4y + 12 = y + 33
  6. 6m − 14 = m + 26
  7. 9n − 3 = 5n − 39
  8. 9x − 7 = 6x − 10
  9. 3m − 6 = m − 20
  10. 5n + 11 = 4n + 13

Equation word problems

Class 7–8 · Worksheet 6 · set 63
Name:Date:Score:    / 6

Form an equation and solve.

  1. Ravi has ₹13 more than Asha. Together they have ₹355. How much money does Asha have?
  2. A father is 3 times as old as his son. The sum of their ages is 36 years. Find their ages.
  3. The sum of two consecutive numbers is 65. Find the numbers.
  4. A father is 5 times as old as his son. The sum of their ages is 72 years. Find their ages.
  5. I think of a number, multiply it by 5 and add 18. The answer is 88. What is the number?
  6. A father is 4 times as old as his son. The sum of their ages is 75 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.