AnswersMathematics III AMultiplication of Polynomials

Multiplication of Polynomials — Unit test Answers

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1
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Which expression is equivalent to ?

Question illustration
A
mc012-2.jpg
Option A
B
mc012-3.jpg
Option B
C
mc012-4.jpg
Option C
D
mc012-5.jpg
Option D
2
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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?

Question illustration
A
mc023-2.jpg
Option A
B
mc023-3.jpg
Option B
C
mc023-4.jpg
Option C
D
mc023-5.jpg
Option D
3

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
mc025-1.jpg
Option A
B
mc025-2.jpg
Option B
C
mc025-3.jpg
Option C
D
mc025-4.jpg
Option D
4

What is the degree of ?

Question illustration
A
3
B
4
C
5
D
6
5

Which polynomial is in standard form?

A
mc025-1.jpg
Option A
B
mc025-2.jpg
Option B
C
mc025-3.jpg
Option C
D
mc025-4.jpg
Option D
6

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
mc025-1.jpg
Option C
D
mc025-2.jpg
Option D
7

What expression is equivalent to ?

Question illustration
A
mc012-2.jpg
Option A
B
mc012-3.jpg
Option B
C
mc012-4.jpg
Option C
D
mc012-5.jpg
Option D
8

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

Question illustration
A
1
B
2
C
3
D
4
9

What is the difference of the polynomials?

Question illustration
A
mc008-2.jpg
Option A
B
mc008-3.jpg
Option B
C
mc008-4.jpg
Option C
D
mc008-5.jpg
Option D
10

What is the product?

Question illustration
A
mc008-2.jpg
Option A
B
mc008-3.jpg
Option B
C
mc008-4.jpg
Option C
D
mc008-5.jpg
Option D
11

What is the missing coefficient? =

Question illustration
A
4
B
8
C
10
D
22
12

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

Question illustration
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.
13

Which expression can be used to find the difference of the polynomials?(10m – 6) – (7m – 4)

A
[10m + (–7m)] + [(–6) + 4]
B
(10m + 7m) + [(–6) + (–4)]
C
[(–10m) + (–7m)] + (6 + 4)
D
[10m + (–7m)] + [6 + (–4)]
14

Lucia finds that . What error did Lucia make?

Question illustration
A
She found the difference instead of the sum.
B
She combined the terms 3x2 and 7x2 incorrectly.
C
She combined the terms 3x and –9x incorrectly.
D
She did not combine all like terms.
15

What value of n makes the equation true?

Question illustration
A
1
B
2
C
10
D
30
16

What term describes the monomial 14xyz?

A
constant
B
linear
C
quadratic
D
cubic
17

What is the degree of ?

Question illustration
A
5
B
7
C
10
D
11
18

What is the product?

Question illustration
A
mc015-2.jpg
Option A
B
mc015-3.jpg
Option B
C
mc015-4.jpg
Option C
D
mc015-5.jpg
Option D
19

Which expression is a monomial?

A
mc001-1.jpg
Option A
B
mc001-2.jpg
Option B
C
x + 1
D
7
20

What is the product?

Question illustration
A
mc020-2.jpg
Option A
B
mc020-3.jpg
Option B
C
mc020-4.jpg
Option C
D
mc020-5.jpg
Option D

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