Make equations for given statements :

(a) 4 less from thrice a number m is 14.

(b) A number x divided by 4 gives 3.

(c) 7 less than a number x is 4.

(d) Four fifths of a number. is greater than three fourth of the number by 4.

(e) x exceeds 3 by 7

Solve the equations :

(a) $3(x-1) + 7 = 11 $

(b) $14 = \frac {7x}{10} -8$

(c) $\frac {(x-3)}{5} - 2 = -1$

(d) $20- (2x-5) = 25$

(e) $\frac {(y-7)}{3} -1 = 0$

(f) $\frac {m}{4} -7 =3$

(g) $3z + 11 = 41$

(h) $4(x+ 1) = 16$

(i) $2x + \frac {1}{4} =\frac {7}{4}$

(j) $ 4(x+ 1) =4$

The length of a rectangle is three times its width. It the perimeter of the rectangle is 96m, find the length and breadth of the rectangle.

If a number is tripled & the result is increased by 5, we get 50. Find the number.

Fill in the blanks :

(a) The value of the variable which makes the equations a true statement is called the____________of the equation.

(b) Any term of an equation may be taken from one side to the other with a change in its sign. This process is called_________________.

(c) An__________________is a statement of equality which contains one or more unknown variables.

(d) Without changing the equality, we may_______________the same quantity to both side of the equation.

If one side of a square is represented by 18x – 20 and the adjacent side is represented by 42 – 13x, find the length of the side of the square.

– 2(x + 3) = 10

In a class of 60 students, the number of girls is one third the number of boys. Find the number of girls and boys in the class.

1.

a. $3m -4 =14$

b. $\frac {x}{4} =3$

c. $ x-7 =4$

d. $\frac {4x}{5} = \frac {3x}{4} +4 $

e. $ x-3=7$

2.

a. 7/3

b. 220/7

c. 8

d. 0

e. 10

f. 40

g. 10

h. 3

i. 3/4

j. 0

3. 12m and 36m

4. 15

5.

a. solution

b.transposing

c. equation

d. add ,subtract and divide

6. 16

7. -8

8. 15 and 45

**NCERT Solutions and Worksheets**

Class 7 Maths Class 7 Science