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Example 5.10
Simplify each of the following algebraic expressions:
_
_
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(a) 5t + 7t (b) 17c − 3c Tanzania Institute of Education
9
4
Solution Solution
14c
12t
_
_
_
_
(a) 5t + 7t = (b) 17c − 3c =
9
9
4
4
4t
_
7 _
= . = c.
3
2
_
4 _
_
7 _
Therefore, 5t + 7t = t. Therefore, 17c − 3c = c.
4
9
3
2
Example 5.11
Express each of the following algebraic expressions as a single fraction:
h − 1
_
_
_
(a) _ + h + 1 (b) b − 2a − b + 3a
3 2 4b 20b
Solution
h − 1
_
(a) _ + h + 1 (The LCM of 3 and 2 is 6)
3 2
_________________
= 2 (h − 1) + 3 (h + 1) (Open the brackets)
6
______________
= 2h − 2 + 3h + 3 (Collect the like terms)
6
_
= 5h + 1 .
6
h − 1
5h + 1
_
Therefore, _ + h + 1 = _ .
3 2 6
_
_
(b) b − 2a − b + 3a
4b 20b
________________
= 5b − 10a − b − 3a (Collect the like terms)
20b
_
= 4b − 13a . Mathematics Form One
20b
_
_
_
Therefore, b − 2a − b + 3a = 4b − 13a .
4b 20b 20b
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21/10/2025 10:50:34
Mathematics form 1.indd 79 21/10/2025 10:50:34
Mathematics form 1.indd 79
