fractions
Algebra - fractions GCSE Maths Tutor
question sheet A-F-01
www.gcsemathstutor.com
[email protected]
1. Express each fraction in its simplest form: (a)
3( x + 1) x +1
(d)
y−2 2− y
(g)
5x 10 + 15 x
x− y y−x
(c)
a −3 3− a
(e)
4x + 8 4
(f)
9 x − 27 3
(h)
5 − 2x 4 x − 10
(i)
3 + 5a 15a + 9
(b)
2. Express each fraction in its simplest form:
3x (a) 3x − 9
15 x + 20 x 2 (b) 5x
x+3 (d) 2 x + 5x + 6
x2 − y2 (e) ( x − y)2
a 2 − 4a (g) 2 a − 16
x 2 + xy (h) 2 x − y2
(c)
x +1 x2 + 2 x + 1
( x + y) (f)
2
x2 − y 2
(i)
2x + 1 6 x2 + x − 1
3. Express each fraction in its simplest form: (a)
3 x + x −1 x −1
(b)
(d)
x 3 − x + 1 2x −1
(e)
3 x + x −1 2x − 3 6 a − 1 − 2a 3 + a
(c)
a 2 + a+3 a−2
(f)
3 5 − 2x + 3y x − y
4. Express each fraction in its simplest form:
x2 3+ x × (a) 2 x − 2x x
2x + 2 12 (b) × 3x 12 x − 8
3x 2 x × 2 (c) 4 x − x−6
x2 − y 2 x + y ÷ (d) x x
a 2a ÷ (e) 2 a − b2 a − b
x 2 − 16 x − 4 ÷ (f) 2 3x x
GCSE Maths Tutor
www.gcsemathstutor.com
[email protected]
Algebra - fractions GCSE Maths Tutor
1.
fractions
answer sheet A-F-01
www.gcsemathstutor.com
[email protected]
(a) 3
(b) −1
(c) −1
(d) −1
(e) x + 2
(f) 3 x − 9
1 2
(i)
1 3
(c)
1 x +1
x+ y x− y
(f)
x+ y x− y
x x− y
(i)
1 3x − 1
(g)
x 2 + 3x
(h) −
(a)
x x−3
(b) 3 + 4x
(d)
1 x+2
(e)
(g)
a a+4
(h)
2.
3.
3+ x (a) x −1
x2 + 5x − 9 (b) ( x − 1)(2 x − 3)
a2 + 6 (c) (a + 3)(a − 2)
2 x2 − 4 x − 3 (d) ( x + 1)(2 x − 1)
2a 2 + 5a + 18 (e) (1 − 2a )(3 + a )
(f)
3+ x (a) x−2
2x + 2 (b) 3x 2 − 2 x
(d) x − y
(e)
−7 x − 18 y (2 x + 3 y )( x − y )
4.
GCSE Maths Tutor
1 2(a + b)
www.gcsemathstutor.com
3x3 (c) 4( x − 3)( x + 2) (f)
3( x + 4) x
[email protected]