Page 85 - Mathematics_F1

Divide each of the following algebraic expressions by the given numbers:
21. 2ax + 2nm – 4cz by 2 22. 5ax – 15ay + 12.5az by 5a

Complete each of the following algebraic statements:
23. 9a – 6b + 3c = 3( ) 27. 4at – 6ar + 8am = 2a( )
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24. 12x – 8y + 16z = 4( ) 28. 10am – 5bm – 15cm = 5m( )

25. 5a + 20b – 10c = 5( ) 29. 12ap – 2aq + 8ar – 6as = 2a( )

26. 12x – 6y – 18z = 6( ) 30. ab – ac + ad = a( )

Tanzania Institute of Education
Algebraic expressions involving fractions and brackets

When dealing with algebraic expressions involving fractions and brackets, the
brackets are opened by multiplying each term inside the brackets by the fraction,
and simplifying the expression.

Example 5.9

Simplify the following algebraic expressions:

1 _
1 _
(a) (8b + 12b – b) (b) (15g + 5g)
4 5
Solution
12b
8b
_
b _
1 _
_
(a) (8b + 12b – b) = + −
4 4 4 4
___________
= 8b + 12b − b
4
19b
_
= .
4
19b
_
1 _
Therefore, (8b + 12b – b) = .
4 4
5g
15g
1 _
_
_
_
1 _
(b) (15g + 5g) = + or (15g + 5g) = 15g + 5g
5
5
5
5
5
Mathematics Form One Therefore, (15g + 5g) = 4g. = 4g.
= 3g + g

20g
_
=
= 4g.

5
1 _
5
78
21/10/2025 10:50:34
Mathematics form 1.indd 78
Mathematics form 1.indd 78 21/10/2025 10:50:34