### Simple Equations - Worksheets

CBSE Worksheet-1

CLASS – VII Mathematics (Simple Equations)

A. Choose correct option in questions 1 to 4:

- 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 - 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 - What is
*n*in 3*n*+ 7 = 25?

(a) 7

(b) 5

(c) 6

(d) 8 - What is
*l*in 3*l*= 42?

(a) 2

(b) 14

(c) 18

(d) 12

B. Fill in the blanks:

- An ___________ is a condition on a variable.
- In the Equation 4x + 5 = 65, the ________ is (4
*x*+ 5). - If we add the same number to both sides of a balance equation, the balance is _____.
- Solve the following equations:

(a) 10*p*= 100

(b) 10*p*+ 10 = 100 - Solve the following equations

(a) 4 (*m*+ 3) = 18 (b) - 2(*x*+ 3) = 5 - The sum of three times a number and 11 is 32. Find the number.

CBSE Worksheet-1

CLASS – VII Mathematics (Simple Equations)

Answer key

- 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.* - 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. - c

Explanation:*3n + 7 = 25**3n = 25 - 7**3n = 18**,**n = 6.* - b

Explanation:*3l = 42**l = 1*4. - equation
- L.H.S.
- undisturbed
- (a) p = 10

Explanation:*10p = 100**, p = 10*.

(b) p = 9

Explanation:*10p + 10 = 100**10p = 100 - 10**10p = 90**,**p = 9.* - (a)

Explanation:*4(m + 3) = 18**4m + 12 = 18**4m = 18 - 12**4m = 6*

.

(b)

Explanation:*-2(x + 3) = 5**-2x - 6 = 5**-2x = 5 + 6**-2x = 11**.* - 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 = 7.*