Chapter 7 Practice Test

Last updated almost 2 years ago

22 questions

Note from the author:

Be sure to write all polynomial expressions in Standard Form.
If a question has multiple solutions, separate the solutions using a comma with NO spaces.

Instructions

Be sure to write all polynomial expressions in Standard Form.

Find the Sum:
{(−3p^3 + 5p^2 − 2p) + (−p^3 − 8p^2 − 15p)}

Find the Difference:
{(4m^2 − m + 2) − (−3m^2 + 10m + 4)}

Find the Product:
{(3m + 1)(m + 9)}

Find the Product:
{( 5y + 3)(y^2 + 8y − 2)}

Find the Quotient:
{\frac{( 4p^6-28p^4+16p)}{4p}}

Solve the equation. 
{5p(2p − 3)( p + 7) = 0}

smallest root: _______ 
middle root: _______ 
largest root: _______ 

Factor:
{p^2 + 30p + 225}

Solve: (find the roots)
{n^2 + 12 = 7n}

smaller root: _______ 
larger root: _______ 

Factor completely:
{9x^2+30x+25}

Factor completely:
{49x^2-144y^2}

Solve: (find the roots)
{11x^2-31x-6}
smaller root: _______ 
larger root: _______ 

What is the perimeter of this figure?
{ \text{Perimeter}=(A)x^2+(B)x+(C) }
A = _______ 
B = _______ 
C = _______ 

BOXES A cardboard box company designs all of its boxes so that they have the dimensions shown below.
Write an expression in standard form for the volume of these boxes. {V = lwh}

The right triangle shown has two sides that are the same length.
The formula for area of a triangle: {A=\frac12bh} , where b is the base and h is the height of the triangle.

What is the area of the triangle shown?

Fill in the blank:
__________ is a factor of:
{x^2-7x-8}

Select the factored form of:
{x^2-10x+24}
If the polynomial cannot be factored using integers, select prime.

Fill in the blank:
{x^2+7x-4}
The expression above is an example of __________.

Find the product:
{(2m+6)(2m-5)}

Find:
{(3x+7)^2}

The area of a parallelogram is where b is the base and h is the height. {A=bh}
Find the area of a parallelogram with a base of {(5x-3)} and a height of {(5x+3)}.

Chapter 7 Practice Test

Be sure to write all polynomial expressions in Standard Form.

Find the Sum:
{(−3p^3 + 5p^2 − 2p) + (−p^3 − 8p^2 − 15p)}

Find the Difference:
{(4m^2 − m + 2) − (−3m^2 + 10m + 4)}

Find the Product:
{(3m + 1)(m + 9)}

Find the Product:
{( 5y + 3)(y^2 + 8y − 2)}

Find the Quotient:
{\frac{( 4p^6-28p^4+16p)}{4p}}

Factor:
{p^2 + 30p + 225}

Factor completely:
{9x^2+30x+25}

Factor completely:
{49x^2-144y^2}

BOXES A cardboard box company designs all of its boxes so that they have the dimensions shown below.
Write an expression in standard form for the volume of these boxes. {V = lwh}

The right triangle shown has two sides that are the same length.
The formula for area of a triangle: {A=\frac12bh} , where b is the base and h is the height of the triangle.

What is the area of the triangle shown?

Select the factored form of:
{x^2-10x+24}
If the polynomial cannot be factored using integers, select prime.

Find the product:
{(2m+6)(2m-5)}

Find:
{(3x+7)^2}

The area of a parallelogram is where b is the base and h is the height. {A=bh}
Find the area of a parallelogram with a base of {(5x-3)} and a height of {(5x+3)}.

Factor completely:
{8t^2 + 8t − 72}

Factor completely:
{2h^4 +8h^3-50h^2−200h}

Chapter 7 Practice Test

Be sure to write all polynomial expressions in Standard Form.

Find the Sum:{(−3p^3 + 5p^2 − 2p) + (−p^3 − 8p^2 − 15p)}

Find the Difference:{(4m^2 − m + 2) − (−3m^2 + 10m + 4)}

Find the Product:{(3m + 1)(m + 9)}

Find the Product:{( 5y + 3)(y^2 + 8y − 2)}

Find the Quotient:{\frac{( 4p^6-28p^4+16p)}{4p}}

Factor:{p^2 + 30p + 225}

Factor completely:{9x^2+30x+25}

Factor completely:{49x^2-144y^2}

BOXES A cardboard box company designs all of its boxes so that they have the dimensions shown below.Write an expression in standard form for the volume of these boxes. {V = lwh}

The right triangle shown has two sides that are the same length.The formula for area of a triangle: {A=\frac12bh} , where b is the base and h is the height of the triangle.What is the area of the triangle shown?

Select the factored form of:{x^2-10x+24}If the polynomial cannot be factored using integers, select prime.

Find the product:{(2m+6)(2m-5)}

Find:{(3x+7)^2}

The area of a parallelogram is where b is the base and h is the height. {A=bh}Find the area of a parallelogram with a base of {(5x-3)} and a height of {(5x+3)}.

Factor completely:{8t^2 + 8t − 72}

Factor completely:{2h^4 +8h^3-50h^2−200h}

Find the Sum:
{(−3p^3 + 5p^2 − 2p) + (−p^3 − 8p^2 − 15p)}

Find the Difference:
{(4m^2 − m + 2) − (−3m^2 + 10m + 4)}

Find the Product:
{(3m + 1)(m + 9)}

Find the Product:
{( 5y + 3)(y^2 + 8y − 2)}

Find the Quotient:
{\frac{( 4p^6-28p^4+16p)}{4p}}

Factor:
{p^2 + 30p + 225}

Factor completely:
{9x^2+30x+25}

Factor completely:
{49x^2-144y^2}

BOXES A cardboard box company designs all of its boxes so that they have the dimensions shown below.
Write an expression in standard form for the volume of these boxes. {V = lwh}

The right triangle shown has two sides that are the same length.
The formula for area of a triangle: {A=\frac12bh} , where b is the base and h is the height of the triangle.

What is the area of the triangle shown?

Select the factored form of:
{x^2-10x+24}
If the polynomial cannot be factored using integers, select prime.

Find the product:
{(2m+6)(2m-5)}

Find:
{(3x+7)^2}

The area of a parallelogram is where b is the base and h is the height. {A=bh}
Find the area of a parallelogram with a base of {(5x-3)} and a height of {(5x+3)}.

Factor completely:
{8t^2 + 8t − 72}

Factor completely:
{2h^4 +8h^3-50h^2−200h}