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Math 8 Chapter 1 Practice Test
1. E v a l u a t e t h e g i v e n e x p r e s s i o n i f (7 = - 2 a n d = 5.
7
Simplify using the Laws of Exponents. Write each expression using a
positive exponent.
>
P'
3. SxYi-lx-y)
3.
K ^ _
30
5.
-28^'
•Id''
6. T h e g a m e o f c h e s s is p l a y e d o n a s q u a r e s h a p e d b o a r d . I f t h e l e n g t h o f o n e
e d g e o f t h e b o a r d is 3in^n, w h a t is t h e a r e a o f t h e b o a r d ?
6.
7 . W r i t e 5 . 6 2 as a m i x e d n u m b e r i n s i m p l e s t f o r m .
7.
8. W r i t e a
8.
using a positive exponent.
9 . F i n d t h e m i s s i n g e x p o n e n t i n t h e e q u a t i o n -6.T"' • x°=-6x^^
Q
^
'^
^
9-
10. T h e v o l u m e o f a d r o p o f a c e r t a i n o i l is 0 . 0 0 0 0 2 l i t e r . F i n d a n d w r i t e t h e
v o l u m e o f 8 drops o f the o i l in scientific notation.
10. I'
yi
11. W r i t e 2 . 0 1 x IQ-^ i n s t a n d a r d f o r m .
11.
^
- i •
OOl'^
^ O
^
—
^
'^OjjOO^
12. E v a l u a t e t h e e x p r e s s i o n . E x p r e s s t h e r e s u l t i n s c i e n t i f i c n o t a t i o n .
(4.3 X 10-)(1.1 X 10 ' )
12.
13. T h e c l o s e s t d i s t a n c e f r o m V e n u s t o t h e S u n i s a b o u t 4 6 , 0 0 0 , 0 0 0
k i l o m e t e r s . T h e closest distance f r o m N e p t u n e t o the S u n is about 4 . 5 >
lO** k i l o m e t e r s . A b o u t h o w m a n y t i m e s c l o s e r t o t h e S u n is V e n u s t h a n
N e p t u n e ? W r i t e y o u r answer in standard notation.
.3.
"^13 h 10
-5"
/^p
^-7
,4.1%M03L,\
14. E v a l u a t e ( 3 . 6 1 x 1 0 . - ' ) + ( 7 . 8 x JO-). E x p r e s s t h e r e s u h i n s t a n d a r d f o r m .
15. F i n d
5
15.
\lsh.
16. T h e a r e a o f a s q u a r e c e i l i n g t i l e i s 5 7 6 s q u a r e i n c h e s . W h a t is t h e l e n g t h o f
o n e edge o f the tile?
,
A''- ^ " 7 '
V
16.
0'
17. W i t h o u t u s i n g a c a l c u l a t o r , w h i c h i s g r e a t e r , 7 o r V 3 4 5 ?
Explain your reasoning.
18. W h i c h n u m b e r ( s ) i n t h e s e t l i s t e d b e l o w a r e n o t r a t i o n a l n u m b e r s ?
18.
-,;r,0.03,2.1xlO%V19
19. O r d e r t h e set o f n u m b e r s f r o m l e a s t t o g r e a t e s t .
537
5.4,—,5.09,v^
20. E s t i m a t e a n d g r a p h ^/56 o n t h e n u m b e r l i n e .
loo
7 k m-^^^-^
'7 : \
K
(JM?
'
19.
I
jI
0
r-T
7 ^
17.
I I I I I I
20.
1
i
Write the letter for the correct answer in the blank at the right of
each question.
21. W h a t is the v a l u e o f the expression ( - 2 ) ' ?
C.-IO
B.
D.
32
21.
22. U s i n g e x p o n e n t s , w h a t is t h e s i m p l i f i e d f o r m o f t h e e x p r e s s i o n - j - y
F . 5.Y^
G . 5.Y'
H.
22.
5Y
23. U s i n g e x p o n e n t s , w h a t i ^ - t h e s i m p l i f i e d f o r m o f t h e e x p r e s s i o n {-2x^
A.-6W'
C.-8.YV
B. 6 / v '
y^y?
D . 8.YV
23.
24. H o w i s t h e e x p r e s s i o n 10 ' w r i t t e n u s i n g a p o s i t i v e e x p o n e n t ?
G.
F. 0.001
/o
H.
24.
I.
10^
25. T h e W a s h i n g t o n M o n u m e n t w e i g h s a p p r o x i m a t e l y 9 0 . 8 0 0 t o n s . W h a t is t h i s
number w r i t t e n in scientific notation?
A . 9.08
X
10-
C . 9.08
X
10^
9.08
X
10^
D.
9.08
X
10
B.
196
26. W h a t is t h e v a l u e o f t h e e x p r e s s i o n
r.
G.
H.
^81
25.
5
I.
/81
-li
26.
9
27. T o t h e n e a r e s t w h o l e n u m b e r , w h a t is t h e b e s t e s t i m a t e f o r V 4 4 4 ?
A . 21
B.21.1
C.22
27.
-13
Kj
28. W h i c h o f t h e f o l l o w i n g is e q u i v a l e n t t o
F . 13.40 /
D. 2 3
G.3.2^'
?' ]
H. 0,^25
^,-'1.-0.325
28.
I
29. W h i c h o f t h e f o l l o w i n g i s e q u i v a l e n t t o O . 4 5
A , 20
C.
B.
IE
]1
D.2J
29.
04; \
30. T h e a r e a o f a s q u a r e i c e rini< is 4 0 4 s q u a r e y a r d s . T o t h e n e a r e s t y a r d ,
w l j a l i g the perimeter o f the rink?
(F. 80 y d
G . 40 yd
H.
20.1 yd
I.
20 yd
30.
F
31. W h i c h n u m b e r b e s t r e p r e s e n t s t h e p o i n t g r a p h e d o n t h e n u m b e r l i n e ?
I I I I I I I l«l I I
-10-9-8 -7-6-5-4-3-2-1 0
A . sIpiQ
B.
-^/lO
C.
-^/8
31.
D.
32. F o r a f u n d r a i s e r , t h e b a s k e t b a l l t e a m is s e l l i n g 7 5 w r i s t b a n d s f o r $ 3 e a c h .
T h e w r i s t bands cost a total o f $ 3 7 . 5 0 . i f t h e y sell a l l o f the w r i s t bands,_^
h o w m u c h m o n e y w i l l b e r a i s e d b y t h e t e a m ? U s e the. four-step
plan.
__„_3_7fJ? 32.32. / ^
5"^
33. I n a r e c e n t y e a r , t h e r e w e r e a b o u t 4 0 0 , 0 0 0 , 0 0 0 m o b i l e i n t e r n e t u s e r s . T h a t
s a m e y e a r , t h e r e w e r e a b o u t 1.2 x 1 0 ' d e s k t o p i n t e r n e t u.sers. A b o u t h o w
m a n y t i m e s larger w a s the n u m b e r o f desktop internet users t h a n the
»
n u m b e r o f m o b i l e internet users?
2'
34. N a t a s h a i s s e e d i n g h e r b a c k y a r d . T h e b a c k y a r d is s q u a r e i n s h a p e a n d h a s
a n a r e a o f 4 , 2 2 5 s q u a r e f e e t . W h a t is t h e l e n g t h o f o n e s i d e o f N a t a s h a ' s
35. N a m e a n u m b e r t h a t is n o t a w h o l e n u m b e r , a n u m b e r t h a t is n o t a n i n t e g e r , a
n u m b e r t h a t is n o t a r a t i o n a l n u m b e r , a n d a n u m b e r t h a t is n o t a n i r r a t i o n a l
n u m b e r . D o n o t use the same n u m b e r t w i c e .
3S.
Not Whole: _
^^^4.
-5"
N o t Integer:
Not Rational:
I' r
3
N o t Irrational:
36. F i n d V T O O O .
37. E s t i m a t e V S O t o t h e n e a r e s t w h o l e n u m b e r .
^__5J^^
36.
3 ' 3' 3
-2-"7
37..
38. S o l v e t h e e q u a t i o n x- = 9 0 0 .
3
38.
-lip ^ I-
t^f/vfr^
^