### 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)

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
$n=\frac{18}{3}$n = 6.
4. b
Explanation:
3l = 42
l = 14.
5. equation
6. L.H.S.
7. undisturbed
8. (a) p = 10
Explanation:
10p = 100
$p=\frac{100}{10}$, p = 10.
(b) p = 9
Explanation:
10p + 10 = 100
10p = 100 - 10
10p = 90
$p=\frac{90}{10}$p = 9.
9. (a) $m=\frac{3}{2}$
Explanation:
4(m + 3) = 18
4m + 12 = 18
4m = 18 - 12
4m = 6
$m=\frac{6}{4}$
$m=\frac{3}{2}$.

(b) $x=\frac{-11}{2}$
Explanation:
-2(x + 3) = 5
-2x - 6 = 5
-2x = 5 + 6
-2x = 11
$x=\frac{-11}{2}$.
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
$x=\frac{21}{3}$x = 7.