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1
Simplify fully
Please do not write on this sheet
x2 + 5 x
x 2 + 7 x + 10
9
Solve
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8
3
+
=1
x +3 x +8
(2 marks)
2
Simplify fully
x 2 − x − 12
x 2 − 9 x + 20
(4 marks)
10
Solve
8
6
+
=2
3x −2 x +1
(2 marks)
3
2
Simplify fully 3 x + 9 x
x2 − 9
(4 marks)
11 Solve
2
3
+
=1
5− x x +7
(2 marks)
4
Simplify fully
(4 marks)
12
x+4
x 2 − 16
Solve
7
4
−
=1
x + 1 3x − 2
(2 marks)
5
Write
3 x 2 + 11 x − 4 in the form ax + b where a, b, and c are integers.
x+c
x2 + 3 x − 4
(4 marks)
13
Given that
2x + 1 : x + 2 = x + 8 : 3x – 4
Find the possible values of x.
(3 marks)
6
7
Write
(4 marks)
x 2 + 7 x − 18 in the form x + a where a, b, and c are integers. 14
bx + c
2 x 2 −x − 6
(3 marks)
Simplify fully
3x +6
2 x 2 + 9 x + 10
÷
x−4
x2 − 4 x
15
Given that
x – 1 : 2x – 3 = x + 2 : 3x – 2
Find the possible values of x.
(4 marks)
Given that
x + 9 : 5x – 1 = x + 7 : 2x – 3
Find the possible values of x.
(3 marks)
8
2
Simplify fully 2 x − 2 ÷ x − 4 x + 3
x +5
2 x 2 + 13 x + 15
(4 marks)
16
Given that
Find the possible values of x.
(3 marks)
Grade 7
5 – 3x : 9 – x = 3x + 7 : 4 – x
Algebraic Fractions
(4 marks)
7.06