HG U1D10 Unit 1 Test Review Aug15

Use the figure below to write a simplified polynomial expression for the perimeter and area.

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Perimeter
Write a polynomial expression in standard form to represent the perimeter.
Perimeter = _______ units

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Lead Coefficient
The lead coefficient of the perimeter is _______ .

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Degree
The degree of the perimeter is _______. 

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Area
Write a polynomial expression in standard form to represent the area.
Area = _______ units2.

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Degree
The degree of the area is _______ .

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Constant
The constant of the area is _______ .

The rectangle below is stretched. The lengths are increased by 2 feet and the widths are decreased by 2 feet.

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New Area
Write a polynomial expression in standard form to represent the new area.
New Area = _______ ft2

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Did the area increase, decrease or stay the same?

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Determine whether each statement is always, sometimes, or never true.

The sum of two trinomials is always a trinomial.

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Determine whether each statement is always, sometimes, or never true.

Any 3rd degree polynomial always has four terms.

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Determine whether each statement is always, sometimes, or never true.

A polynomial of degree 3 is added to a polynomial of degree 5. The sum would have a degree of 4.

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Solve for x.
44x - 7 = 31 + 6
x = _______ 

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Solve for x.
14x + 18 = 40 - 8x

x = _______ 

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Write a polynomial expression in standard form to represent the volume of the box.
Volume = _______ mm3
The degree of the volume is _______ .
The volume has _______ term. (number of terms)

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Write a polynomial expression in standard form to represent the volume of the box.
Volume = _______ mm3
The degree of the volume is _______ .
The volume has _______ term. (number of terms)

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Find the sum.
(2x2 + 3x + 2) + (3x2 - 5x -1) = _______ 

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What's the difference?
(3x2 - 5x - 1) - (2x2 - 3x - 2) = _______ 

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Products!
a. 3x(4x + 2) = _______ 
b. (x + 2)(x -1) = _______ 
c. (x + 5)(x2 - 11x + 6) = _______ 
d. (x - 3)(x + 4)2 = _______ 

Area of the Shaded Region

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Express the area of the shaded region as a polynomial is standard form.
Areashaded region = _______ 

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If the area of the shaded region is 52 cm2, what is the value of x?
x = _______ 
(try graphing it)

Did the area increase, decrease or stay the same?

Determine whether each statement is always, sometimes, or never true.The sum of two trinomials is always a trinomial.

Determine whether each statement is always, sometimes, or never true.Any 3rd degree polynomial always has four terms.

Determine whether each statement is always, sometimes, or never true.A polynomial of degree 3 is added to a polynomial of degree 5. The sum would have a degree of 4.

Determine whether each statement is always, sometimes, or never true.

The sum of two trinomials is always a trinomial.

Determine whether each statement is always, sometimes, or never true.

Any 3rd degree polynomial always has four terms.

Determine whether each statement is always, sometimes, or never true.

A polynomial of degree 3 is added to a polynomial of degree 5. The sum would have a degree of 4.