Simplifying Polynomial Expressions — Unit test Answers

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1
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Which polynomial is in standard form?

A
mc026-1.jpg
Option A
B
mc026-2.jpg
Option B
C
mc026-3.jpg
Option C
D
mc026-4.jpg
Option D
2
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Which expression is equivalent to 4 – (2m – 3)?

A
4 – 2m – 3
B
4 – 2m + 3
C
–8m + 3
D
–8m + 12
4

Subtract 15mn – 22m +2n from 14mn – 12m +7n.

A
–mn + 10m + 5n
B
–mn – 34m + 5n
C
–mn – 34m + 9n
D
29mn – 34m + 9n
5

A student factors 15c2 + c – 28 to the following. (c + 2)(15c – 14) Which statement about (c + 2)(15c – 14) 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.
6

Holly finds that (11m – 13n + 6mn) – (10m – 7n + 3mn) = m – 20n + 9mn. What error did Holly make?

A
She only used the additive inverse of 10m when combining like terms.
B
She added the polynomials instead of subtracting.
C
She only used the additive inverses of –7n and 3mn when combining like terms.
D
She did not combine all like terms.
8

What is the correct order of operations for simplifying the expression ?

Question illustration
A
square the binomial (x + 3), distribute the negative to the binomial (x2 + 9), simplify the dividend, and then divide
B
divide, square the binomial (x + 3), distribute the negative to the binomial (x2 + 9), and then simplify the dividend
C
square the binomial (x + 3), divide, distribute the negative to the binomial (x2 + 9), and then simplify the dividend
D
square the binomial (x + 3), distribute the negative to the binomial (x2 + 9), divide, and then simplify the dividend
9

Parker simplified the expression as shown below. Which statement best describes Parker’s error?

Question illustration
A
He made a division error.
B
He combined the variable terms incorrectly.
C
He combined the constants incorrectly.
D
He distributed –5 incorrectly.
10

Which expression is equivalent to 9x – (x – 8)(x + 1) + 10x?

A
mc009-1.jpg
Option A
B
mc009-2.jpg
Option B
C
mc009-3.jpg
Option C
D
mc009-4.jpg
Option D
11

Which polynomial is in standard form?

A
mc014-1.jpg
Option A
B
mc014-2.jpg
Option B
C
mc014-3.jpg
Option C
D
mc014-4.jpg
Option D
12

Which statement about 4x2 + 19x – 5 is true?

A
One of the factors is (x – 4).
B
One of the factors is (4x + 1).
C
One of the factors is (4x – 5).
D
One of the factors is (x + 5).

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