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Class 7 Simple Equations Worksheet

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Curriculum note: NCERT's Class 7 mathematics book for 2026-27 is Ganita Prakash. We have not confirmed which chapter of the new book covers solving simple equations, so this resource is not labelled as aligned to a chapter. Please check it against your own textbook.

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Class 7 Simple Equations – Practice Worksheet

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Date:

Marks: / 10

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

  1. Solve: x + 7 = 15

    • (A) x = 8
    • (B) x = 22
    • (C) x = 7
    • (D) x = 9

    Working:

    Answer:

  2. Solve: 3x = 21

    • (A) x = 63
    • (B) x = 18
    • (C) x = 7
    • (D) x = 24

    Working:

    Answer:

  3. Solve: 2x + 5 = 17

    • (A) x = 11
    • (B) x = 5
    • (C) x = 12
    • (D) x = 6

    Working:

    Answer:

  4. Solve: x/4 = 6

    • (A) x = 10
    • (B) x = 24
    • (C) x = 1.5
    • (D) x = 2

    Working:

    Answer:

  5. Solve: 5y − 3 = 22

    • (A) y = 4
    • (B) y = 6
    • (C) y = 5
    • (D) y = 25

    Working:

    Answer:

  6. A number added to 12 gives 30. What is the number?

    • (A) 18
    • (B) 42
    • (C) 30
    • (D) 12

    Working:

    Answer:

  7. Twice a number decreased by 4 equals 14. Find the number.

    • (A) 5
    • (B) 10
    • (C) 18
    • (D) 9

    Working:

    Answer:

  8. Solve: 4(x + 1) = 20

    • (A) x = 5
    • (B) x = 6
    • (C) x = 4
    • (D) x = 3

    Working:

    Answer:

  9. Which value of x satisfies x − 9 = 4?

    • (A) 5
    • (B) 13
    • (C) −5
    • (D) 36

    Working:

    Answer:

  10. The perimeter of a square is 36 cm. If its side is s cm, find s.

    • (A) 32 cm
    • (B) 144 cm
    • (C) 6 cm
    • (D) 9 cm

    Working:

    Answer:

Original questions by LearnWise Practice Hub.

Show answer key and explanations

Class 7 Simple Equations – Answer Key

  1. Answer: (A) x = 8

    Subtract 7 from both sides: x = 15 − 7 = 8. Check: 8 + 7 = 15.

  2. Answer: (C) x = 7

    Divide both sides by 3: x = 21 ÷ 3 = 7. Check: 3 × 7 = 21.

  3. Answer: (D) x = 6

    Subtract 5: 2x = 12. Divide by 2: x = 6. Check: 2 × 6 + 5 = 17.

  4. Answer: (B) x = 24

    Multiply both sides by 4: x = 6 × 4 = 24. Check: 24/4 = 6.

  5. Answer: (C) y = 5

    Add 3 to both sides: 5y = 25. Divide by 5: y = 5. Check: 5 × 5 − 3 = 22.

  6. Answer: (A) 18

    Let the number be x. Then x + 12 = 30, so x = 30 − 12 = 18.

  7. Answer: (D) 9

    Let the number be x. Then 2x − 4 = 14. Add 4: 2x = 18. Divide by 2: x = 9.

  8. Answer: (C) x = 4

    Divide both sides by 4: x + 1 = 5. Subtract 1: x = 4. Check: 4 × (4 + 1) = 20.

  9. Answer: (B) 13

    Add 9 to both sides: x = 4 + 9 = 13. Check: 13 − 9 = 4.

  10. Answer: (D) 9 cm

    A square has 4 equal sides, so 4s = 36. Divide by 4: s = 9. The side is 9 cm.

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