1.
Exponents Chapter Test A: Full Name: __________________________
1) 2) 3)
4) 5) 6)
7) 8) 9)
10) 11) 12)
13) 14) 15)
16) 17) 18)
19) 20) BONUS)
No calculator allowed in the first section of this test. Write answer in PEN. Let Mr. Kim know when you
are finished with this section.
1) Which of the following statements are true? Choose MORE than one answer. (no calc)
I. 16 8= since 8 8 16+ =
II. 9 3= since 3 3 9× =
III. 3
4 2= since 2 2 4× =
IV. 3
8 2= since 2 2 2 8× × =
(Sample answer: II, III, IV)
2) Is 2
16 a perfect cube? (Yes or No) (no calc)
3) Is 5
8 a perfect cube? (Yes or No) (no calc)
4) Write
6
6
15
3
as a single power. (no calc)
5) Arrange from least to greatest (no calc):
I.
1
w
II. 2
w III. 4 1/2
w IV. 3
w
(for example: II, III, I, IV)
2.
6) Arrange from least to greatest (no calc):
I. 2 2− II. 16 III. 3 3 IV. 2 5−
(for example: I, II, IV, III)
Record all answers in table in PEN before moving on to Calculator allowed section:
7) Suppose profit is a function of time 3/4
2.5P t= . 8t = . Which step contains the FIRST mistake?
A. 43
2.5 8P =
B. 3
2.5 4096P =
C. 2.5(64)P =
D. 160P =
E. There is no mistake
8) Give the Rational (R) vs. Irrational (I) number sequnce for the following six numbers:
π , 2.5234872983123..., 1.5 , 2.6 , 16 , 2 (ex. I, R, R, R, I, I)
9) Express as an entire radical: 3
2 5
10) Simplify 2 3 5
2(3 )x x×
11) Simplify
( )
2
3
4
5x
x
−
(make the exponents positve)
3.
12) Simplify 55 2
w w÷ (write simplifed answer in a radical form, NOT as a fractional exponent)
13) Solve x . 2
2 1
1
3
27
x
x
+
−
=
14) Simplify:
2
4
21
14 w
x
x
15) Simplfy:
2/3
2
3 3
16
2
x y
x y
−
−
−
. Leave answer with positive fractional exponents.
Simplify:
2/3
2
3 3
16
2
x y
x y
−
−
−
. Leave answer with positive fractional exponents.
Answer: 2
2 elmox y +
Click here for video solution
16) Write 3
5−
as a fraction.
17) Given 8 3n
x x= , determine the value of n . Answer to the NEAREST INTEGER.
4.
18) ( )( )23 4
5 5 5x
= . Solve x to TWO DECIMAL PLACES.
19) Place 4
4 on the number line below. Draw an arrow.
20) A virus triples every hour. If there are 50000 viruses now, how many viruses were there 5 hours ago?
Round final answer to the nearest INTEGER.
BONUS)
Given
3
2/5 5
1 5
1
4/
/
2
1 1
243 243
81
1
243
x−
−
−
=
, solve
3 4
x . Answer as an exact radical ex. 25
17
13
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