Alg 1 Unit 6 Test: Exponents and Exponent Functions
By Teerani Sutthiphansakul
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Last updated almost 2 years ago
21 Questions
Untitled Section
2
1.
Simplify: 10m^{2}n+7mn^{2}-m^{2}n
Simplify: 10m^{2}n+7mn^{2}-m^{2}n
2
2.
Simplify: (xy^3)\cdot(xy)^4
Simplify: (xy^3)\cdot(xy)^4
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3.
Simplify: (-2p^{4}q^{6})^2
Simplify: (-2p^{4}q^{6})^2
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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})
Select ONE of the following TWO to simplify:
A. (-2ab^{2})\cdot(3a^{2}b)^{2}
B. (2a^{2})^{3}+(a^{4})(3a^{2})
2
5.
Simplify: \frac{(3x^{5})^{2}}{27x^{3}}
Simplify: \frac{(3x^{5})^{2}}{27x^{3}}
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6.
Simplify: \frac{(10ab)^{-2}(2a^{4}b^{3})}{4a^{5}b}
Simplify: \frac{(10ab)^{-2}(2a^{4}b^{3})}{4a^{5}b}
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7.
Simplify: 38x^{2}y-x^{2}y
Simplify: 38x^{2}y-x^{2}y
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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)
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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9.
OPTIONAL: Find the area of the trapezoid below:
OPTIONAL: Find the area of the trapezoid below:
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10.
MULTIPLE CHOICE: Which of the following represent 3.61\times10^{-5} written in standard form
MULTIPLE CHOICE: Which of the following represent 3.61\times10^{-5} written in standard form
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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})
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})
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12.
OPTIONAL: Simplify:
OPTIONAL: Simplify:
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13.
Graph the exponential function by using a table, and then identify its key characteristics
Graph the exponential function by using a table, and then identify its key characteristics
Select ONE of the following TWO word problems
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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 approximatevalue of the home after 10 years.
Growth Formula:
Decay Formula:A=P\left(1-r\right)^t
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
2
15.
Doug purchased land for $8,000 in 1995. Thevalue of the land depreciated by 4% each yearthereafter. Use an exponential function to findthe approximate value of the land in 2002.
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.
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16.
Which rule represent the pattern shown in the sequence {4,-12,36,-108...}
Which rule represent the pattern shown in the sequence {4,-12,36,-108...}
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17.
Use the rule above in 16 to find a_7
Use the rule above in 16 to find a_7
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18.
Write the simplest radical form of
Write the simplest radical form of
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19.
Which value could be placed under that radical symbol to make the statement true
Which value could be placed under that radical symbol to make the statement true
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20.
Write in simplest radical form:
Write in simplest radical form:
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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})
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})