Page 85 - Mathematics

6. Simplify each of the following rational expressions.

xy + 2 8xy + 3y x − 2 2xy 7(x − 2) 3(y − −− 2)y
x
(a) (c)
2xy 10x − 8y
3
2( 3x +
2
(b) −− 7 ) 14y − x (d) x − 5 x 2 Tanzania Institute of Education
2 8 12
7. Evaluate each of the following:

3
(a) b − 3ab when a = and b = −
2
2
− 2xy
(b) when x = − and y 6
4
=
2yx−
2
(c) u − 3v when u = and v = – 4
2
5,
(d) 2bc ÷ (a + 7) when a = 3, b = − and c = 4.
8. Write each of the following statements into a variable expression:
(a) The sum of one-half of x and x.
(b) Ten divided by the difference between y and three.

(c) The difference between six and the quotient of a number and twelve.

9. Simplify each of the following expressions.

 3 
(a) ( 8)a−   − 4   (c) 3(2y− 2 − 7) 8(3y+ 2 − 12)

1 1 1  1  1 1
−
−
(b) (14 )x − (10 )x − (16 )x (d) ( 10)n −   + (9)n − ( 2)n
7 5 8  10  3 2
10. Evaluate each of the following variable expressions when a = – 2, b = 4,
c = – 1 and d = 3.
b + 2d 3 1
(a) (d) − b + (ac bd+ )
3b 4 2
bd 2 1
(b) ÷ c (e) − d − (bd ac− )
a 3 5

abc b − a
2
(c) bd− (f) ad + 3c
Mathematics Form One
Engage in Activity 5.1 to explore and represent real-life activities by using algebraic
expressions.

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Mathematics form 1.indd 79 25/10/2024 09:51:24
Mathematics form 1.indd 79