Simple Equations - Worksheets

 CBSE Worksheet-1

CLASS – VII Mathematics (Simple Equations)

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A. Choose correct option in questions 1 to 4:

1. Write the equation for 'The sum of three times x 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 3n + 7 = 25?
   (a) 7
   (b) 5
   (c) 6
   (d) 8
4. What is l in 3l = 42?
   (a) 2
   (b) 14
   (c) 18
   (d) 12

B. Fill in the blanks:

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

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

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1. a
   Explanation:
   3 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=183$n=\frac{18}{3}$, n = 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$p=\frac{100}{10}$, p = 10.
   (b) p = 9
   Explanation:
   10p + 10 = 100
   10p = 100 - 10
   10p = 90
   p=9010$p=\frac{90}{10}$, p = 9.
9. (a) m=32$m=\frac{3}{2}$
   Explanation:
   4(m + 3) = 18
   4m + 12 = 18
   4m = 18 - 12
   4m = 6
   m=64$m=\frac{6}{4}$
   m=32$m=\frac{3}{2}$.
   (b) x=−112$x=\frac{-11}{2}$
   Explanation:
   -2(x + 3) = 5
   -2x - 6 = 5
   -2x = 5 + 6
   -2x = 11
   x=−112$x=\frac{-11}{2}$.
10. 7
    Explanation:
    Let the number be x
    3 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=213$x=\frac{21}{3}$, x = 7.