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We can carry out the transposition of an expression in the same way as the
transposition of a number.

7. We have learnt how to construct simple algebraic expressions corresponding to
practical situations.

8. We also learnt how, using the technique of doing the same mathematical operation
(for example adding the same number) on both sides, we could build an equation
Starting from its solution. Further, we also learnt that we could relate a given equation
to some appropriate practical situation and build a practical word problem/puzzle

SOLVED EXAMPLES:

1. Write equations for the following statements

(i) Three-fourth of t is 15.

The above statement can be written in the equation form as,

= ¾t = 15

(ii) Seven times m plus 7 gets you 77.

The above statement can be written in the equation form as,

Seven times m is 7m

= 7m + 7 = 77

2. In an isosceles triangle, the base angles are equal. The vertex angle is 40°.

What are the base angles of the triangle? (Remember, the sum of three angles of a
triangle is 180°).

Solution:-

From the question it is given that,

o
We know that, the sum of angles of a triangle is 180

Let base angle be b