Alg 1 231 Unit 6 Test: Exponents and Exponent Functions

1

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

2

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

1

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

p^12

p^8

2p^12

2p^8

2

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

2

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

3

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

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

4

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

2

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

2

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)

2

OPTIONAL: Find the area of the trapezoid below:

1

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

361000

0.361

0.00361

0.0000361

2

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})

1.129\times10^{-13}

9.68\times10^{-13}

1.129\times10^{-12}

3

OPTIONAL: Simplify:

5

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)

2

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

$242,000

$243,000

$258,000

$250,000

2

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.

$6,012

$5,771

$5,760

$6,262

1

Write the simplest radical form of

2\sqrt48

4\sqrt12

6\sqrt5

8\sqrt3

1

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

245

1,715

875

35

2

Write in simplest radical form:

2x^{3}y^{8}\sqrt{60x}

4x^{4}y^{8}\sqrt{15x}

2x^{3}y^{4}\sqrt{60}

4x^{3}y^{5}\sqrt{15}

4

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})

Alg 1 231 Unit 6 Test: Exponents and Exponent Functions

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

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

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

OPTIONAL: (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})

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

OPTIONAL: 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

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})

OPTIONAL: Simplify:

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)

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

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.

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 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})

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

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

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

OPTIONAL: (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})

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

OPTIONAL: 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

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})

OPTIONAL: Simplify:

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)

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

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.

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 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})

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

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

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})

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.

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})

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

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

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})

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.

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})