AnswersSummer_Advanced AlgebraUnit Test

Unit Test — Unit test Answers

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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.
22
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The side length, s, of a cube is x – 2y. If V = s3, what is the volume of the cube?

A
x3 – 6x2y + 12xy2 – 8y3
B
x3 + 6x2y + 12xy2 + 8y3
C
3x3 – 6x2y + 12xy2 – 24y3
D
3x3 + 6x2y + 12xy2 + 24y3
23

If h(x) is the inverse of f(x), what is the value of h(f(x))?

A
0
B
1
C
x
D
f(x)
24

If a(x) = 3x + 1 and , what is the domain of ?

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Option
Option A
B
Option
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Option
Option C
D
Option
Option D
25

Which expression represents the sixth term in the binomial expansion of (5y + 3)10?

A
10C5(5y)5(3)5
B
10C6(5y)4(3)6
C
510C5(y)5(3)5
D
510C6(y)4(3)6
26

If f(x) = |x| + 9 and g(x) = –6, which describes the range of (f + g)(x)?

A
(f + g)(x) 3 for all values of x
Option A
B
(f + g)(x) 3 for all values of x
Option B
C
(f + g)(x) 6 for all values of x
Option C
D
(f + g)(x) 6 for all values of x
Option D
27

If s(x) = 2 – x2 and t(x) = 3x, which value is equivalent to ?

Question illustration
A
–439
B
–141
C
153
D
443
28

What is the missing coefficient? =

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A
4
B
8
C
10
D
22
29

What expression is equivalent to ?

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Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
30

What is the difference of the polynomials?

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Option A
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Option B
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Option C
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Option D
31

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.

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Sum and Difference of Two Cubes