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Alg 1 231 Unit 6 Test: Exponents and Exponent Functions

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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: -7a^{2}b-2a^{2}b

Question 2
2.

Simplify: 10m^{2}n+7mn^{2}-m^{2}n (HINT: Add and Subtract Like Terms)

Question 3
3.

Simplify
p^{2}\cdot{p^6}

Question 4
4.

OPTIONAL:
(xy^3)\cdot(xy)^4

Question 5
5.

Simplify: (-2p^{4}q^{6})^2

Question 6
6.

Select ONE of the following TWO to simplify:

A. (-2ab^{2})\cdot(3a^{2}b)^{2}

B. (2a^{2})^{3}+(a^{4})(3a^{2})

Question 7
7.

OPTIONAL: Simplify: \frac{(3x^{5})^{2}}{27x^{3}}

Question 8
8.

OPTIONAL: Simplify: \frac{(10ab)^{-2}(2a^{4}b^{3})}{4a^{5}b}

Question 9
9.

Simplify: 38x^{2}y-x^{2}y

Question 10
10.

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)


Question 11
11.

OPTIONAL: Find the area of the trapezoid below:


Question 12
12.

MULTIPLE CHOICE: Which of the following represent 3.61\times10^{-5} written in standard form

Question 13
13.

SORRY!!! This questions is incorrect.. there are not options that work.. I will give you all credit for this one! 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})

Question 14
14.

OPTIONAL: Simplify:

Question 15
15.

Graph the exponential function by using a table, and then identify its key characteristics. Be sure to show 4 accurate points (its okay if the graph is wobbly or not exact)

Question 16
16.

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

Question 17
17.

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.

Question 18
18.

Write the simplest radical form of

Question 19
19.

Which value could be placed under that radical symbol to make the statement true

Question 20
20.

Write in simplest radical form:

Question 21
21.

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})