Alg 1 Unit 6 Test: Exponents and Exponent Functions

Last updated about 3 years ago

21 questions

Untitled Section

2

3

2

4

2

1

2

3

5

Select ONE of the following TWO word problems

2

1

2

4

Library

Alg 1 Unit 6 Test: Exponents and Exponent Functions

Last updated about 3 years ago

21 questions

Untitled Section

2

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

2

Simplify: (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

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

4

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

2

3

OPTIONAL: Simplify:

5

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

Select ONE of the following TWO word problems

2

1

2

4

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})

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

361000

0.361

0.00361

0.0000361

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} 

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

$258,000

$250,000

$242,000

$243,000

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.

$5,760

$5,771

$6,012

$6,262

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

a_n=-\frac{1}{3}\times4^{n-1} 

a_n=4\times(-3)^{n-1}

a_n=4\times(-\frac{1}{3})^{n-1}

Use the rule above in 16 to find a_7

8,748

-8,748

-2,916

2,916

Write the simplest radical form of

8\sqrt3

6\sqrt5

4\sqrt12

2\sqrt48

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

35

245

875

1,715

Write in simplest radical form:

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

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

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

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

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})

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

361000

0.361

0.00361

0.0000361

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} 

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

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.

$5,760

$5,771

$6,012

$6,262

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

a_n=-\frac{1}{3}\times4^{n-1} 

a_n=4\times(-3)^{n-1}

a_n=4\times(-\frac{1}{3})^{n-1}

Use the rule above in 16 to find a_7

8,748

-8,748

-2,916

2,916

Write the simplest radical form of 

8\sqrt3

6\sqrt5

4\sqrt12

2\sqrt48

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

35

245

875

1,715

Write in simplest radical form: 

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

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

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

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

Alg 1 Unit 6 Test: Exponents and Exponent Functions

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:

OPTIONAL: Simplify:

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

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})

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 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.

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})

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)

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})

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)

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 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})