Simple Equations/CBSE Class 7 Mathematics/Worksheet

Simple Equations – CBSE Class 7 Mathematics/Practice Problems

Extra Questions for Practice/Model Questions

Answer the following:

  1. If 2p = 18, find the value of p?
  2. The sum of twice a number x and 4 is 12. Write the equation?
  3. The value of x for which x – 2 and 3x – 12 becomes equal is ——-
  4. Solve:
    a) y + 2 = -2
    b) –p/4 = 3
  5. Anu’s father is 45 years old. He is 10 years more than 5 times Anu’s age. What is Anu’s age?
  6. Form an equation:
    a) 3 times a number y is 21
    b) one fourth of a number p is 16
    c) 12 subtracted from 4 times a number m is 20.
  7. Five added to thrice a number y is 26. Find the number?
  8. Solve 4(x – 2) + 3 = 7
  9. Find the solution of 3p + 5 = 26
  10. If you take away 6 from 6 times a number y you get 54. Find the number
  11. Sum of 3 times a number and 10 is 40. Find the number
  12. If 7x + 3 = 38, find the value of x
  13. The number of boys in a class is 2 more than 3 times the number of girls. What is the number of girls if the number of boys is 50?
  14. Find the solution of the equation 3x – 4 = 17
  15. Nine added to thrice a number gives 54. Find the number

ANSWERS:

  1. 2p = 18
    P = 18/2 = 9
  2. 2x + 4 = 12
  3. x – 2 = 3x – 12
    x – 3x = -12 + 2 = -10
    -2x = -10
    x = -10/-2 = 5
  4. a) y + 2 = -2
    y = -2 – 2 = -4
    b) –p/4 = 3
    -p = 4 x 3 = 12
    p = -12
  5. Let Anu’s age be y
    Anu’s father’s age is 10 + 5y = 45
    5y = 45 – 10 = 35
    y = 35/5 = 7
  6. a) 3y = 21
    b) ¼ p = 16
    c) 4m – 12 = 20
  7. 5 + 3y = 26
    3y = 26 – 5 = 21
    y = 21/3 = 7
  8. 4(x – 2) + 3 = 7
    4(x – 2) = 7 – 3 = 4
    x – 2 = 1
    x = 1 + 2 = 3
  9. 3p + 5 = 26
    3p = 26 – 5 = 21
    p = 21/3 = 7
  10. 6y – 6 = 54
    6y = 54 + 6 = 60
    y = 60/6 = 10
  11. Let the number be y
    3y + 10 = 40
    3y = 40 – 10 = 30
    y = 30/3 = 10
  12. 7x + 3 = 38
    7x = 38 -3 = 35
    x = 35/7 = 5
  13. Let number of girls be y.
    Given 2 + 3y = 50
    3y = 50 – 2 = 48
    y = 48/3 = 16
  14. 3x – 4 = 17
    3x = 17 + 4 = 21
    x = 21/3 = 7
  15. Let the number be p.
    9 + 3p = 54
    3p = 54 – 9 = 45
    p = 45/3 = 15

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