Simple Equations - Worksheets

 CBSE Worksheet-1

CLASS – VII Mathematics (Simple Equations)


A. Choose correct option in questions 1 to 4:

  1. Write the equation for 'The sum of three times and 11 is 32'.
    (a) 3x + 11 = 32
    (b) x + 11 = 32
    c) 3x = 32
    (d) x + 11 = 3
  2. Raman’s father’s age is 5 years more than three times Raman’s age. Raman’s father is 44 years old. Set up an equation to find Raman’s age.
    a) x + 3 = 44
    (b) 3x + 5 = 44
    (c) x + 5 = 44
    (d) 3x - 5 = 44
  3. What is n in 3+ 7 = 25?
    (a) 7
    (b) 5
    (c) 6
    (d) 8
  4. What is l in 3= 42?
    (a) 2
    (b) 14
    (c) 18
    (d) 12

B. Fill in the blanks:

  1. An ___________ is a condition on a variable.
  2. In the Equation 4x + 5 = 65, the ________ is (4+ 5).
  3. If we add the same number to both sides of a balance equation, the balance is _____.
  4. Solve the following equations:
    (a) 10= 100
    (b) 10+ 10 = 100
  5. Solve the following equations
    (a) 4 (+ 3) = 18 (b) - 2(+ 3) = 5
  6. The sum of three times a number and 11 is 32. Find the number.

CBSE Worksheet-1
CLASS – VII Mathematics (Simple Equations)
Answer key


  1. a
    Explanation:
    times a number x = 3x
    Sum of 3times a number x and 11 = 3x + 11
    Result = 32
    Therefore the equation is, 3x + 11 = 32.
  2. b
    Explanation:
    3 times Raman's age = 3x
    5 more than 3 times Raman's age = 3x + 5
    Given, Raman's father's age = 44
    Therefore the equation can be written as, 3x + 5 = 44.
  3. c
    Explanation:
    3n + 7 = 25
    3n = 25 - 7
    3n = 18
    n=183n = 6.
  4. b
    Explanation:
    3l = 42
    l = 14.
  5. equation
  6. L.H.S.
  7. undisturbed
  8. (a) p = 10
    Explanation:
    10p = 100
    p=10010, p = 10.
    (b) p = 9
    Explanation:
    10p + 10 = 100
    10p = 100 - 10
    10p = 90
    p=9010p = 9.
  9. (a) m=32
    Explanation:
    4(m + 3) = 18
    4m + 12 = 18
    4m = 18 - 12
    4m = 6
    m=64
    m=32.

    (b) x=112
    Explanation:
    -2(x + 3) = 5
    -2x - 6 = 5
    -2x = 5 + 6
    -2x = 11
    x=112.
  10. 7
    Explanation:
    Let the number be x
    times number x = 3x
    Sum of 3 times number x and 11 = 3x + 11
    Result = 32
    Therefore the equation is, 3x + 11 = 32
    3x = 32 - 11
    3x = 21
    x=213x = 7.