Class 9 Linear Equations – 30 MCQs with Answers (Exam Preparation PDF)

Class 9 Math – Solved Linear Equations (Q1–Q30)

Q1. Solve: 2x + 5 = 15
Step 1:
2x + 5 = 15
Subtract 5 from both sides: 2x = 15 − 5 → 2x = 10
Step 2:

✅
Divide both sides by 2: x = 10 ÷ 2 → x = 5
Answer: x = 5

Q2. Solve: 3x − 4 = 11
Step 1:
3x − 4 = 11
Add 4 to both sides: 3x = 11 + 4 → 3x = 15
Step 2:

✅
Divide both sides by 3: x = 15 ÷ 3 → x = 5
Answer: x = 5

Q3. Solve: x/4 + 3 = 7
Step 1:
x/4 + 3 = 7
Subtract 3 from both sides: x/4 = 7 − 3 → x/4 = 4
Step 2:

✅
Multiply both sides by 4: x = 4 × 4 → x = 16
Answer: x = 16

Q4. Solve: 5x − 10 = 0
Step 1:
5x − 10 = 0
Add 10 to both sides: 5x = 0 + 10 → 5x = 10
Step 2:

✅
Divide both sides by 5: x = 10 ÷ 5 → x = 2
Answer: x = 2

Q5. Solve: 7x + 3 = 24
Step 1:
7x + 3 = 24
Subtract 3 from both sides: 7x = 24 − 3 → 7x = 21
Step 2:

✅
Divide both sides by 7: x = 21 ÷ 7 → x = 3
Answer: x = 3

Q6. Solve: 2x − 6 = 0
Step 1:
2x − 6 = 0
Add 6 to both sides: 2x = 0 + 6 → 2x = 6
Step 2:
Divide both sides by 2: x = 6 ÷ 2 → x = 3

, Answer: x = 3 ✅
Q7. Solve: x + 9 = 14
Step 1:
x + 9 = 14

✅
Subtract 9 from both sides: x = 14 − 9 → x = 5
Answer: x = 5

Q8. Solve: 4x + 8 = 20
Step 1:
4x + 8 = 20
Subtract 8 from both sides: 4x = 20 − 8 → 4x = 12
Step 2:

✅
Divide both sides by 4: x = 12 ÷ 4 → x = 3
Answer: x = 3

Q9. Solve: 3x − 9 = 0
Step 1:
3x − 9 = 0
Add 9 to both sides: 3x = 0 + 9 → 3x = 9
Step 2:

✅
Divide both sides by 3: x = 9 ÷ 3 → x = 3
Answer: x = 3

Q10. Solve: x/5 + 2 = 6
Step 1:
x/5 + 2 = 6
Subtract 2 from both sides: x/5 = 6 − 2 → x/5 = 4
Step 2:

✅
Multiply both sides by 5: x = 4 × 5 → x = 20
Answer: x = 20

Q11. Solve: 5x + 2 = 17
Step 1:
5x + 2 = 17
Subtract 2 from both sides: 5x = 17 − 2 → 5x = 15
Step 2:

✅
Divide both sides by 5: x = 15 ÷ 5 → x = 3
Answer: x = 3

Q12. Solve: 3x + 7 = 16
Step 1:
3x + 7 = 16
Subtract 7 from both sides: 3x = 16 − 7 → 3x = 9
Step 2:

✅
Divide both sides by 3: x = 9 ÷ 3 → x = 3
Answer: x = 3