Download GCSEAlgebraicFractionsQuestions (Worksheet)

GCSE Algebraic Fractions Questions
1.
Simplify fully
x2  x  6
x 2  7 x  10
....................................
(Total 3 marks)
2.
Simplify fully
x 2  8x  15
2 x 2  7 x  15
................................................
(Total 3 marks)
3.
Simplify
p2 9
2p  6
.....................................
(Total 3 marks)
4.
Simplify fully
6 x 2  3x
4x 2 1
..............................
(Total 3 marks)
Tiffin School
1
5.
(a)
Simplify
2x + 4
x + 4x + 4
2
.....................................
(3)
(b)
Write
1
2
as a single fraction in its simplest form.
+
x+4 x–4
(3)
(Total 6 marks)
6.
Simplify
x 2  2x  1
x 2  3x  2
....................................
(Total 3 marks)
7.
Simplify fully
x 3 x 5

4
3
....................................
(Total 3 marks)
Tiffin School
2
8.
Simplify fully
2 x 2  3x  1
x 2  3x  4
......................................................
(Total 3 marks)
9.
Solve the equation
x
4

1
2x – 3 x  1
x = .................................
(Total 5 marks)
10.
Solve the equation
3
4
5x
–
 2
x3 x –3 x –9
x = .....................................
(Total 4 marks)
Tiffin School
3
11.
(a)
Show that the equation
5
4  3x

x2
x 1
can be rearranged to give
3x2 + 7x – 13 = 0
(3)
(b)
Solve 3x2 + 7x – 13 = 0
Give your solutions correct to 2 decimal places.
x = ............................... or x = ................................
(3)
Tiffin School
4