CLASS 7 MATHEMATICS | SIMPLE EQUATIONS – Chapter 4 | Extra Questions for Practice

Here you can find practice problems for class 7 Maths chapter 4 Simple Equations.

Answer the following:

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

a) The sum of three times y and 4 is 25.
b) If you subtract 3 from 2 times a number x, you get 6.

2. Convert the following equations in statement form:

a) 3z = 27
b) 2x +3 = 5

3. Solve

a) 2p + 8 = 28
b) 3p – 1 = 23

4. The sum of three times a number and 7 is 37. Find the number.

5. Manu’s father’s age is 4 years more than three times Manu’s age. Find Manu’s age, if his father is 37 years old.

6. Check whether the value given in brackets is solution to the given equation or not.

a) x – 7 = 17 (x = 10)
b) y + 8 = 10 (y =2)

7. Sum of 3 times a number and 15 is 45. Find the number.

8. Solve

a) 3m = 9
b) 2(m + 2) = 18

9. Give first the step you will use to separate the variable and then solve the equation.

a) y – 2 = 0
b) y + 2 = 0

10. Write equations for the following statements:

a) 3 subtracted from 2 times of a number p is 9.
b) Ten times a is 30.

ANSWERS:

1. a) 3y + 4 = 25
b) 2x – 3 = 6

2. a) Three times a number z is 27.
b) Add 3 to twice a number x to get 5.

3.a) 2p + 8 = 28
2p = 28 – 8 = 20
P = 20/2 = 10
b) 3p – 1 = 23
3p = 23 + 1 = 24
P = 24/3 = 8

4. Let the number be x.

3x + 7 = 37
3x = 37 – 7= 30
x = 30/3 = 10

5. Let Manu’s age be x.

Then Manu’s fathers age = 3x +4 = 37(given)
3x = 37 – 4 = 33
x = 33/3 = 11

6. a) x – 7 = 17

When x = 10, LHS = 10 – 7 = 3, which is not equal to RHS.
Therefore, x = 10 is not a solution of the given equation.
b) y + 8 = 10
When y =2, LHS = 2 + 8 = 10, which is equal to RHS.
Therefore, y = 2 is a solution of the given equation.

7. 3y + 15 = 45

3y = 45 – 15 = 30
y = 30 /3 = 10

8. a) 3m = 9

m = 9/3 = 3
b) 2(m+2) = 18
m+2 = 18/2 = 9
m = 9 -2 = 7

9. a)y-2 = 0

Add 2 to both sides; y -2+2 = 0+2
y = 2
b) y + 2 =0
Subtract 2 from both sides; y + 2 -2 = 0-2
y = -2

10. a) 2p – 3 = 9

b) 10a = 30