Alg 1 Unit 6 Test: Exponents and Exponent Functions

Simplify: 10m^{2}n+7mn^{2}-m^{2}n

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

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

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

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

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

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)

OPTIONAL: Find the area of the trapezoid below:

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

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})

OPTIONAL: Simplify:

Graph the exponential function by using a table, and then identify its key characteristics

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

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.

Which rule represent the pattern shown in the sequence {4,-12,36,-108...}

Use the rule above in 16 to find a_7

Write the simplest radical form of

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

Write in simplest radical form:

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})