# Class 7 Maths Sample Equations | Important Questions For Exam

IMPORTANT QUESTIONS FOR CBSE EXAMINATION | CLASS 7 MATHEMATICS

SIMPLE EQUATIONS – Chapter 4

Answer the following (2 marks):

1. Write the following statements in the form of equations.

a) 3 added to twice a number y is 25

b) If you subtract 4 from three times of a number x, you get 8.

2. Solve the following equations:

a) x + 5 = 15

b) 3 + 2z = 17

3. Manu’s father’s age is 3 years more than three times Manu’s age. If Manu’s father’s age is 36 years old, what will be Manu’s age?

4. Check whether the value given is a solution or not?

a) 4p- 2 = 10 (p = 3)

b) 5n + 5 = 10 (n=2)

5. Write the following in statement form:

a) 2x + 3 = 9

b) 4y – 2 = 10

6. Set up an equation and solve:

The age of mother is five times the age of her daughter and the sum of their ages is 42. Find the age of daughter?

7. Solve:

a)2p + 9 = 29

b) 10p + 10 = 100

8. Solve:

a) 3(x + 8) = 24

b) 2(2 – y) = 8

9. Set up an equation and solve:

a) When I subtracted 7 from thrice a number x, the result was 20.

b) Add 8 to 3 times a number y, you get 17.

10. a)Construct 2 equations starting with x = 3

b) Construct 2 equations starting with x = -3

ANSWERS:

1. a)3 + 2y = 25

b) 3x – 4 = 8

2. a) x + 5 = 15

x = 15 – 5 = 10

b) 3 + 2z = 17

2z = 17 – 3 = 14

z = 14/2 = 7

3. Let Manu’s age be x.

Then father’s age = 3 + 3x

Given 3 + 3x = 36

3x = 36 – 3 = 33

x = 33/3 = 11

4. a) 4p-2 = 10

When p = 3, 4p -2 = 4 x 3 – 2 = 12 – 2 = 10

So p=3 is a solution of the equation.

b) 5n + 5 = 10

When n = 2, 5n + 5 = 5 x 2 + 5 = 10 + 5 =15

So n = 2 is not a solution of the equation.

5. a) Three added to twice a number x is 9.

b) Two subtracted from four times a number y is 10.

6. a) Let daughter’s age be x.

Mother’s age = 5x

Given x + 5x = 42

6x = 42

x = 42/6 = 7

7. a) 2p + 9 = 29

2p = 29 – 9 = 20

P = 20/2 = 10

b) 10 p + 10 =100

10p = 100- 10 = 90

P = 90/10 = 9

8. a) 3(x + 8) = 24

x + 8 = 24/3 = 8

x = 8 – 8 = 0

b) 2 (2 – y) = 8.

2 – y = 8/2 = 4

-y = 4 – 2 = 2

Y = -2

9. a) 3x – 7 = 20

3x = 20 + 7 = 27

x = 27/3 = 9

b) 8 + 3y = 17

3y = 17 -8 = 9

Y = 9/3 = 3

10. a) 3x + 2 = 11

4x – 2 = 10

b) 5x + 7 = -8

3x = -9