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DIRECTED NUMBERS

1. Evaluate2

15

2

1

5

31

to the lowest terms.

2. Find the value of ( )2

116.0243.5 in decimal place.

3. Calculate the value of4

11

5

3

3

12

+ and express the answer as a fraction in its

lowest term.

4. Calculate the value of ( )3

116.125.2 + and express the answer as a decimal.

5. Calculate the value of

+

6

5

3

21

4

12 and express the answer as a fraction in its

lowest term.


5

1

2

14.0 and express the answer as a decimal.


116.0

5

4 + and express the answer as a decimal.


11

8

5

4

13

and express the answer as a fraction in its

lowest term.


52

7

6

4

11


lowest term.

10. Calculate the value of ( ) 5.044.456.24

1 + and express the answer as a

decimal.11. Calculate the value of ( )52025448 +12. Calculate the value of ( )75614376 +


+

3

11

4

3

3


lowest term.


9

4

3

15.0 and express the answer as a decimal.


11

3

1

5

21


lowest term.


115.0327.4 and express the answer as a decimal.


3

1

5

3

4


lowest term.

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36.043.2 and express the answer correct to two

decimal places.


31

4

1

3

21


lowest term.

20. Calculate the value of( )3


21. Calculate the value of( )3



11

8

3

4

1

+ and express the answer as a fraction in its

lowest term.

23. Calculate the value of ( )54030311 + .


3

1

7

6

7


lowest term.


1057.4 .

SQUARES, SQUARE ROOTS, CUBES & CUBE ROOTS

1. a) Find the value of 641253

b) Calculate the value of2

4

3

81

4

2. Evaluate

a) ( ) 23 364 +

b) ( )31249 3. a) Find the value of3 216

b) Calculate the value of 32125

85

4. a) Find the value of3

2

1

b) Calculate the value of ( )2

3

84.3 5. a) Find the value of3 27

b) Calculate the value of ( )232 1254 +6. a) Find the value of 361253

b) Calculate the value of4

252

3

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17

b) Calculate the value of ( )39169 8. a) Find the value of3 064.0

b) Calculate the value of ( )

23

2252

9. a) Find the value of3 8

b) Calculate the value of ( )21447


1

b) Calculate the value of ( ) 23 427 +

LINEAR EQUATIONS

Solve each of the following equations:

1. xx =42

2. ( ) qqq 263 =+

3. 1065

2=+x

4. 43 =m5. ( )5283 = pp6. 1863 =x

7. yy

=4

82

8. 1343 =+s

9. mm

2

5

37=

10. 58 =+x11. ( )1215 +=+ ss

12. mm 221=13. ( ) 913 =+ kk

14. 654 =s

15. ( ) nn = 28216. 765 = kk

17.2

243

pp

=

18. xx = 79319. 153 =p

20. ( )4232 = yy21. 1046 = rr

22.2

547

=

pp

ALGEBRAIC EXPRESSIONS

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1. Simplify each of the following algebraic expressions in its lowest term.

a) ( ) yyxx +2

b) ( ) 22 mnn +

2. Simplify ( )137 + xx

3. Simplify ( )rr 21315 ++4. Simplify ( ) ( )22 32 qpqqp +5. Simplify ( ) 22 42 bba

6. Simplify ( ) ( )mm 5925 2

7. Simplify ( )234 m

8. Simplify ( ) 43 22 + pp

9. Simplify ( ) ( )kk 4332 ++

10. Simplify2222

362 xyyx +

11. Simplify ( ) ( )yxxyx + 532 2

12. Simplifypqr

rqpq

21

1272

13. Simplify 2

5

p

pp

14. Simplify ( ) 252 3pmpm

15. Simplify pqrqrpq 683

16. Simplify23263

227 qpqqp

17. Simplify ( ) 9452325 ghghg

18. Simplify ( ) ( ) 10532432 prrppr

19. Factorise completely

a) pmpq 42

b) 623 +++ xaaxc) 218 2 +md) uu 714 2 e) ( ) ( )12242 hhh

f) 22 129 xyyx

g) 182 2 xh) 22mnmn i) rrppp 22

2 +j) xxy 63

k) 7222

pl) ghg 244

m) xx 3

n) 273 2 p

20. Expressp

q

q

p 8+ in lowest term.

21. Expressx

x

x 6

2

4

3 + as a single fraction.

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22. Express2

6

42

9

7

u

u

u

+ as a single fraction in its simplest form.

23. Express 28

62

2

1

p

p

p

as a single fraction in its simplest form.

24. Express x

x

x 12

32

3

2

as a single fraction.

25. Express( )

x

yx

yx

x

4

12

22

2 +

as a single fraction in its simplest form.

26. Express12

6

4

3 mm + as a single fraction in its simplest form.

27. Express2

12

6

3

1

n

n

n

+ as a single fraction in its simplest form.

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