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Transcript of tuisyen1
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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.
6. Calculate the value of
5
1
2
14.0 and express the answer as a decimal.
7. Calculate the value of2
116.0
5
4 + and express the answer as a decimal.
8. Calculate the value of2
11
8
5
4
13
and express the answer as a fraction in its
lowest term.
9. Calculate the value of14
52
7
6
4
11
and express the answer as a fraction in its
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 +
13. Calculate the value of
+
3
11
4
3
3
21 and express the answer as a fraction in its
lowest term.
14. Calculate the value of
9
4
3
15.0 and express the answer as a decimal.
15. Calculate the value of3
11
3
1
5
21
and express the answer as a fraction in its
lowest term.
16. Calculate the value of ( )5
115.0327.4 and express the answer as a decimal.
17. Calculate the value of
3
1
5
3
4
31 and express the answer as a fraction in its
lowest term.
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18. Calculate the value of4
36.043.2 and express the answer correct to two
decimal places.
19. Calculate the value of4
31
4
1
3
21
and express the answer as a fraction in its
lowest term.
20. Calculate the value of( )3
1124.08.6 and express the answer as a decimal.
21. Calculate the value of( )3
214.25.7 and express the answer as a decimal.
22. Calculate the value of3
11
8
3
4
1
+ and express the answer as a fraction in its
lowest term.
23. Calculate the value of ( )54030311 + .
24. Calculate the value of
3
1
7
6
7
12 and express the answer as a fraction in its
lowest term.
25. Calculate the value of ( )3
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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7. a) Find the value of9
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
10. a) Find the value of25
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.