Unit Test — Unit test Answers

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A 5 inch × 7 inch photograph is placed inside a picture frame. Both the length and width of the frame are 2a inches larger than the width and length of the photograph. Which expression represents the perimeter of the frame?

A
4a + 12
B
8a + 24
C
Option
Option C
D
Option
Option D
2
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What is the product?

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
3

Which expression is equivalent to ?

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Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
4

Randy divides (2x4 – 3x3 – 3x2 + 7x – 3) by (x2 – 2x + 1) as shown below. What error does Randy make?

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A
He makes a subtraction error.
B
He makes an error writing the constant term in the quotient.
C
He makes an error choosing the x-term in the quotient.
D
He makes an error rewriting the problem in long division.
5

What is the completely factored form of x2 – 16xy + 64y2?

A
xy(x – 16 + 64y)
B
xy(x + 16 + 64y)
C
(x – 8y)(x – 8y)
D
(x + 8y)(x + 8y)
6

What is the degree of ?

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A
3
B
4
C
5
D
6
7

Which statement about –2h2 – 15h – 7 is true?

A
One of the factors is (h + 2).
B
One of the factors is (3h – 2).
C
One of the factors is (2h + 1).
D
One of the factors is (h – 7).
8

Vanessa uses the expressions (3x2 + 5x + 10) and (x2 – 3x – 1) to represent the length and width of her patio. Which expression represents the area (lw) of Vanessa’s patio?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
9

Which polynomial is in standard form?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
10

What is the quotient of (x3 – 3x2 + 3x – 2) ÷ (x2 – x + 1)?

A
x – 2
B
x + 2
C
x – 4
D
x + 1
11

What is the remainder when (x4 + 36) is divided by (x2 – 8)?

A
36
B
64
C
100
D
117
12

A student factors 10x2 + 3x – 27 to the following. (2x – 3)(5x + 9) Which statement about (2x – 3)(5x + 9) is true?

A
The expression is equivalent, and it is completely factored.
B
The expression is equivalent, but it is not completely factored.
C
The expression is not equivalent, but it is completely factored.
D
The expression is not equivalent, and it is not completely factored.
13

The missing term in the following polynomial has a degree of 5 and a coefficient of 16. Which statement best describes the polynomial?

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A
It is not in standard form because the degree of the first term is not greater than six.
B
It is not in standard form because the degree of the first term should be equal to zero.
C
It is in standard form because the exponents are in order from highest to lowest.
D
It is in standard form because the coefficients are in order from highest to lowest.
14

The volume of a cylinder is given by the formula , where r is the radius of the cylinder and h is the height. Suppose a cylindrical can has radius (x + 8) and height (2x + 3). Which expression represents the volume of the can?

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Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
15

What is the missing coefficient? =

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A
4
B
8
C
10
D
22
16

The degree of the polynomial is 3. What is the value of m?

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A
1
B
2
C
3
D
4
17

What is the difference of the polynomials?

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
18

What expression is equivalent to ?

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Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
19

The volume of a rectangular prism is (x4 + 4x3 + 3x2 + 8x + 4), and the area of its base is (x3 + 3x2 + 8). If the volume of a rectangular prism is the product of its base area and height, what is the height of the prism?

A
x + 1 minus StartFraction 4 Over x Superscript 4 Baseline + 4 x cubed + 3 x squared + 8 x + 4 EndFraction
Option A
B
x + 1 + StartFraction 4 Over x Superscript 4 Baseline + 4 x cubed + 3 x squared + 8 x + 4 EndFraction
Option B
C
x + 1 minus StartFraction 4 Over x cubed + 3 x squared + 8 EndFraction
Option C
D
x + 1 + StartFraction 4 Over x cubed + 3 x squared + 8 EndFraction
Option D
20

What is the completely factored form of p4 – 16?

A
(p – 2)(p – 2)(p + 2)(p + 2)
B
(p – 2)(p – 2)(p – 2)(p – 2)
C
(p minus 2) (p + 2) (p squared + 2 p + 4)
Option C
D
(p minus 2) (p + 2) (p squared + 4)
Option D

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