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 3n + 7 = 25?
(a) 7
(b) 5
(c) 6
(d) 8 - What is l in 3l = 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 (4x + 5).
- If we add the same number to both sides of a balance equation, the balance is _____.
- Solve the following equations:
(a) 10p = 100
(b) 10p + 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 = 14. - 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.