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Algebraic Expressions (1) 1. Simplify the following: a) 3 2 a a b) 4 11 x x c) 6 2 w d) 6 3 5 t t e) 3 5 2 x x x f) xy y x 3 2 g) 3 2 ) ( b a 2. Find a in the following: a) 7 3 x x x a b) 42 1 x x a a c) 9 9 y y y a 3. Simplify 2 1 3 8 ) 9 ( y x 2 mark (2012 June/C) 4. (a) Simplify m 5 ÷ m 3 (b) Simplify y x y x 2 3 4 5 3 marks (2012 Nov NC) 5. (a) Simplify 5 2 ) ( m (b) Write down the value of 10 0 . 2 marks (2012 June) 6. Work out the value of 3 1 2 x when x = 8 7. (a) Simplify (i) 4 6 w w (ii) 3 8 h h (b) Simplify completely 3 2 3 3 12 y x xy (c) Find the value of 3 2 27 6 marks (2011 J NC) 8. Simplify 4 5 2 ) ( k c 1 mark (2011 June/C) 9. Simplify (a) 3 2 2 3 2 1 x x x x (b) 3 12 6 y x (c) 4 2 6 ) ( y x 10. Simplify fully 3 2 4 2 3 4 6 2 ab b a b a 11. (a) Find m when 12 2 4 4 4 m (b) Find p when 6 6 6 5 p .

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Page 1: Algebraic Expression (1)

Algebraic Expressions (1)

1. Simplify the following:

a) 32 aa

b) 411 xx

c) 62w

d) 635 tt

e) 3

52

x

xx

f) xy

yx 32

g) 32 )( ba

2. Find a in the following:

a) 73 xxx a

b) 421xx

aa

c) 99 yyya

3. Simplify 2

1

38 )9( yx

2 mark (2012 June/C)

4. (a) Simplify m5 ÷ m

3

(b) Simplify yxyx 2345 3 marks (2012 Nov NC)

5. (a) Simplify 52 )( m

(b) Write down the value of 100. 2 marks (2012 June)

6. Work out the value of 3

1

2x when x = 8

7. (a) Simplify

(i) 46 ww

(ii) 38 hh

(b) Simplify completely 32

3

3

12

yx

xy

(c) Find the value of 3

2

27

6 marks (2011 J NC)

8. Simplify 452 )( kc

1 mark (2011 June/C)

9. Simplify (a) 32

2

3

2

1

xx

xx

(b) 3

12

6

y

x (c)

426 )( yx

10. Simplify fully 3

2423

4

62

ab

baba

11. (a) Find m when 122 444 m

(b) Find p when 666 5 p.

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