Question 1
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
Question 3
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. Question 4
If a number is tripled & the result is increased by 5, we get 50. Find the number. Question 5
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. Question 6
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. Question 7
– 2(x + 3) = 10 Question 8
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.
Solutions
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
