Algrbraic Fractions Worksheets

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ALGRBRAIC FRACTIONS - PAST PAPER QUESTIONS
1
2
+
1.
Express as a single fraction in its simplest form:
2
��
��+5
2
2
4��
− ��
2.
a)
Factorise:
1
2
2
4��
− ��
b)
Hence simplify:
2
6��+3��
3
4
+
3.
Simplify:
3
��
(��+1)
2
2
��
− 4��
4.
a)
Factorise:
1
2
2
��
− 4��
b)
Hence simplify:
2
3��+6��
2
(�� + 4)
5.
Simplify:
3
2
��
− �� − 20
6
3
��
��
×
6.
Simplify:
2
2
3
��
��
3
5
+
�� ≠ −2, �� ≠ 1 as a fraction in its simplest form.
7.
Express
3
�� + 2
�� − 1
��
��
+
, �� ≠ 0, �� ≠ 0
8.
Express as a single fraction
2
��
��
3�� − 15
9.
Simplify:
2
2
(�� − 5)
3
4
�� ≠ 0, �� ≠ −1 as a single fraction in its simplest form.
10.
Express
3
��
�� + 1
2
��
3��
×
11.
Express
as a fraction in its simplest form.
2
��
2��
2
4
+
�� ≠ 1, �� ≠ −2 as a single fraction in its simplest form.
12.
Express
3
�� − 1
�� + 2
2
3
�� ≠ 0, �� ≠ −4 as a single fraction in its simplest form.
13.
Express
3
��
(�� + 4)
2
(2�� + 5)
14.
Simplify:
1
(2�� − 1)(2�� + 5)
2
5��
��
÷
15.
Express
as a fraction in its simplest form.
3
8
2
3
1
�� ≠ −1, �� ≠ 2 as a single fraction in its simplest form.
16.
Express
3
(�� + 1)
(�� − 2)
��
3��
×
17.
Express
as a fraction in its simplest form.
2
2
��
��
4
3
+
�� ≠ −3, �� ≠ 0 as a single fraction in its simplest form.
18.
Express
3
(�� + 3)
��

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