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Class 8 Linear Equations Worksheet

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Curriculum note: NCERT's Class 8 mathematics book for 2026-27 is Ganita Prakash, published in two parts. We have not confirmed which chapter covers linear equations in one variable, so this resource is not labelled as aligned to a chapter. Please check it against your own textbook.

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Class 8 Linear Equations – Practice Worksheet

Name:

Date:

Marks: / 10

Instructions: Answer all 10 questions. Circle the correct option and show your working in the space given.

  1. Solve: 3x + 4 = 2x + 9

    • (A) x = −5
    • (B) x = 13
    • (C) x = 5
    • (D) x = 1

    Working:

    Answer:

  2. Solve: 5x − 7 = 3x + 5

    • (A) x = 1
    • (B) x = 12
    • (C) x = 3
    • (D) x = 6

    Working:

    Answer:

  3. Solve: x/2 + 3 = 7

    • (A) x = 20
    • (B) x = 8
    • (C) x = 5
    • (D) x = 2

    Working:

    Answer:

  4. Solve: 2(x − 3) = 10

    • (A) x = 2
    • (B) x = 5
    • (C) x = 8
    • (D) x = 13

    Working:

    Answer:

  5. Solve: (3x − 2)/4 = 4

    • (A) x = 6
    • (B) x = 18
    • (C) x = 2
    • (D) x = 10/3

    Working:

    Answer:

  6. Solve: x/3 + x/6 = 9

    • (A) x = 27
    • (B) x = 9
    • (C) x = 6
    • (D) x = 18

    Working:

    Answer:

  7. The sum of three consecutive whole numbers is 48. What is the smallest?

    • (A) 16
    • (B) 14
    • (C) 15
    • (D) 17

    Working:

    Answer:

  8. A father is 3 times as old as his son. The sum of their ages is 48 years. How old is the son?

    • (A) 16 years
    • (B) 12 years
    • (C) 36 years
    • (D) 9 years

    Working:

    Answer:

  9. Solve: 7x − 3 = 4x + 12

    • (A) x = 3
    • (B) x = 15
    • (C) x = 9
    • (D) x = 5

    Working:

    Answer:

  10. Solve: 2x/3 = 8

    • (A) x = 12
    • (B) x = 16/3
    • (C) x = 24
    • (D) x = 5

    Working:

    Answer:

Original questions by LearnWise Practice Hub.

Show answer key and explanations

Class 8 Linear Equations – Answer Key

  1. Answer: (C) x = 5

    Subtract 2x from both sides: x + 4 = 9. Subtract 4: x = 5. Check: 3 × 5 + 4 = 19 and 2 × 5 + 9 = 19.

  2. Answer: (D) x = 6

    Subtract 3x: 2x − 7 = 5. Add 7: 2x = 12. Divide by 2: x = 6.

  3. Answer: (B) x = 8

    Subtract 3: x/2 = 4. Multiply both sides by 2: x = 8.

  4. Answer: (C) x = 8

    Divide both sides by 2: x − 3 = 5. Add 3: x = 8.

  5. Answer: (A) x = 6

    Multiply both sides by 4: 3x − 2 = 16. Add 2: 3x = 18. Divide by 3: x = 6.

  6. Answer: (D) x = 18

    x/3 = 2x/6, so 2x/6 + x/6 = 3x/6 = x/2. Then x/2 = 9 and x = 18.

  7. Answer: (C) 15

    Let the numbers be x, x + 1, x + 2. Then 3x + 3 = 48, so 3x = 45 and x = 15. The numbers are 15, 16, 17.

  8. Answer: (B) 12 years

    Let the son's age be x, so the father's age is 3x. Then x + 3x = 48, 4x = 48 and x = 12.

  9. Answer: (D) x = 5

    Subtract 4x: 3x − 3 = 12. Add 3: 3x = 15. Divide by 3: x = 5.

  10. Answer: (A) x = 12

    Multiply both sides by 3: 2x = 24. Divide by 2: x = 12.

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