Page 81 - Mathematics

Example 5.6

Simplify each of the following algebraic expressions.

5t + 7t 17c − 3c
(a) ` (b)
9 4 Tanzania Institute of Education

Solution
5t 7t 12t 17c − 3c 14c
(a) (b) =
9 9 4 4
4 7
= t = c
3 2

5t + 7t 4 17c − 3c 7
Therefore, = . t Therefore, = . c
9 3 4 2

Example 5.7

Express each of the following algebraic expressions as a single fraction.

h − 1 h + 1 b − 2a b + 3a
(a) + (b) −
3 2 4b 20b

Solution

1) 3(h +
h − 1 h + 1 2(h −+ 1)
(a) + = (Multiply by LCM of 2 and 3 and simplify)
3 2 6
23h +
= 2h −+ 3
6
5h + 1
=
6

Therefore, h − 1 h + + 1 = 5h + 1 .
3 2 6

b − 2a b + 3a 5(b − 2 ) (a − b + 3 )a
(b) − = (multiply by LCM of 4b and
4b 20b 20b 20b and simplify) Mathematics Form One

5b − 10ab− − 3a
=
20b

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25/10/2024 09:51:22
Mathematics form 1.indd 75
Mathematics form 1.indd 75 25/10/2024 09:51:22