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Alg 1 231 Unit 6 Test: Exponents and Exponent Functions cloned 4/6/2022
By Teerani Sutthiphansakul
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Last updated about 3 years ago
17 questions
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Select ONE of the following TWO word problems
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Question 1
1.
Simplify: -7a^{2}b-2a^{2}b
-9a^{2} b
-5
-9
-5a^{2}b
Question 2
2.
Simplify: 10m^{2}n+7mn^{2}-m^{2}n (HINT: Add and Subtract Like Terms)
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Question 3
3.
Simplify
p^{2}\cdot{p^6}
2p^8
2p^12
p^12
p^8
Question 4
4.
Simplify: (-2p^{4}q^{6})^2
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Question 5
5.
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 6
6.
Simplify: 38x^{2}y-x^{2}y
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Question 7
7.
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 8
8.
OPTIONAL: Find the
area
of the trapezoid below:
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Question 9
9.
MULTIPLE CHOICE: Which of the following represent 3.61\times10^{-5} written in standard form
0.0000361
0.361
361000
0.00361
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Question 10
10.
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})
9.68\times10^{-13}
1.129\times10^{-13}
1.129\times10^{-12}
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Question 11
11.
Graph the exponential function by using a table, and then identify its key characteristics
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Question 12
12.
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 13
13.
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.
$6,262
$5,771
$5,760
$6,012
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Question 14
14.
Write the simplest radical form of
8\sqrt3
4\sqrt12
2\sqrt48
6\sqrt5
Question 15
15.
Which value could be placed under that radical symbol to make the statement true
875
1,715
35
245
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Question 16
16.
Write in simplest radical form:
x^{3}y^{5}\sqrt{25}
5x^{4}y^{8}\sqrt{x}
5x^{3}y^{4}
2x^{3}y^{8}\sqrt{12x}
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Question 17
17.
BONUS:
Simplify the expression 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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