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Alg 1 Unit 6 Test: Exponents and Exponent Functions
By Teerani Sutthiphansakul
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Last updated about 3 years ago
21 questions
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Select ONE of the following TWO word problems
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Question 1
1.
Simplify: 10m^{2}n+7mn^{2}-m^{2}n
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Question 2
2.
Simplify: (xy^3)\cdot(xy)^4
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Question 3
3.
Simplify: (-2p^{4}q^{6})^2
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Question 4
4.
Select ONE of the following TWO to simplify:
A. (-2ab^{2})\cdot(3a^{2}b)^{2}
B. (2a^{2})^{3}+(a^{4})(3a^{2})
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Question 5
5.
Simplify: \frac{(3x^{5})^{2}}{27x^{3}}
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Question 6
6.
Simplify: \frac{(10ab)^{-2}(2a^{4}b^{3})}{4a^{5}b}
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Question 7
7.
Simplify: 38x^{2}y-x^{2}y
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Question 8
8.
Select ONE of the following TWO problems:
A. Find the
area
of the rectangle below:( A=l\times w )
B. Find the
perimeter
of the triangle below: (Perimeter is the distance around)
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Question 9
9.
OPTIONAL: Find the
area
of the trapezoid below:
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Question 10
10.
MULTIPLE CHOICE: Which of the following represent 3.61\times10^{-5} written in standard form
361000
0.361
0.00361
0.0000361
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Question 11
11.
MULTIPLE CHOICE: Which of the follwoing gives the value of the expression below written in scientific notation
(9.1\times10^{-12})+(5.8\times10^{-13})
1.129\times10^{-13}
9.68\times10^{-13}
1.129\times10^{-12}
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Question 12
12.
OPTIONAL: Simplify:
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Question 13
13.
Graph the exponential function by using a table, and then identify its key characteristics
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Question 14
14.
The Mendez family just bought a home for
$180,000. If the value of the home increases at a rate of 3% per year, use an exponential function to find the approximate
value of the home after 10 years.
Growth Formula:
Decay Formula:
A=P\left(1-r\right)^t
$258,000
$250,000
$242,000
$243,000
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Question 15
15.
Doug purchased land for $8,000 in 1995. The
value of the land depreciated by 4% each year
thereafter. Use an exponential function to find
the approximate value of the land in 2002.
$5,760
$5,771
$6,012
$6,262
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Question 16
16.
Which rule represent the pattern shown in the sequence {4,-12,36,-108...}
a_n=-\frac{1}{3}\times4^{n-1}
a_n=4\times(-3)^{n-1}
a_n=4\times(-\frac{1}{3})^{n-1}
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Question 17
17.
Use the rule above in 16 to find a_7
8,748
-8,748
-2,916
2,916
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Question 18
18.
Write the simplest radical form of
8\sqrt3
6\sqrt5
4\sqrt12
2\sqrt48
Question 19
19.
Which value could be placed under that radical symbol to make the statement true
35
245
875
1,715
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Question 20
20.
Write in simplest radical form:
2x^{3}y^{4}\sqrt{60}
2x^{3}y^{8}\sqrt{60x}
4x^{3}y^{5}\sqrt{15}
4x^{4}y^{8}\sqrt{15x}
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Question 21
21.
BONUS:
Simplify the esxpression below completely. Write your answer only in positive exponents.
(\frac{-3x^{-6}y^{-1}z^{-2}}{6x^{-2}yz^{-5}})^{-2}-(3x^{3}y^{2}z^{-2})^3\cdot(x^{-1}y^{-2})
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