algebraic fractions exam questions
Post on 05-Dec-2014
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Algebraic Fractions
1. Express 52
2
3
)23(7
)672(
3
x
x
xx
x
as a single fraction in its simplest form.(Total 4 marks)
2. Express )3)(1( xx
x+
9
122 x
x as a single fraction in its simplest form.
(Total 6 marks)
3. (a) Express as a fraction in its simplest form
214
13
3
22
xxx .
(3)
(b) Hence solve
1214
13
3
22
xxx .
(3)
4. Express as a single fraction in its simplest form
9
1582
2
x
xx × 2
2
)5(
62
x
xx.
(Total 4 marks)
5. f(x) = xx
xx
3
62
2
, x 0, x 3.
(a) Express f(x) in its simplest form.(3)
(b) Hence, or otherwise, find the exact solutions of f(x) = x + 1.(3)
(Total 6 marks)
Ashlawn School and Science college 1
6. (a) Simplify 1
232
2
x
xx
(3)
(b) Hence, or otherwise, express )1(
1
1
232
2
xxx
xx as a single fraction in its simplest
form.(3)
(Total 6 marks)
7. Express
2
6
)2()32(
322
2
xxxx
xx
as a single fraction in its simplest form.(Total 7 marks)
Ashlawn School and Science college 2
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