Unit Test — Unit test Answers

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Which function has the domain ?

Question illustration
A
y = StartRoot x + 11 EndRoot + 5
Option A
B
y = StartRoot x minus 11 EndRoot + 5
Option B
C
y = StartRoot x + 5 EndRoot minus 11
Option C
D
y = StartRoot x + 5 EndRoot + 11
Option D
4

If x2 + mx + m is a perfect-square trinomial, which equation must be true?

A
x2 + mx + m = (x – 1)2
B
x2 + mx + m = (x + 1)2
C
x2 + mx + m = (x + 2)2
D
x2 + mx + m = (x + 4)2
5

Use completing the square to solve for in the equation .

Question illustration
A
x = –1 or 15
B
x = 1 or 7
C
x = 4 plus-or-minus StartRoot 41 EndRoot
Option C
D
x = 4 plus-or-minus StartRoot 73 EndRoot
Option D
6

Which phrase represents the algebraic expression 5x - 9?

A
the product of five times a number and nine
B
the difference of nine times a number and five
C
the sum of five times a number and five
D
the difference of five times a number and nine
8

Which expression is equivalent to ?

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

What is the cube root of ?

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

Use the zero product property to find the solutions to the equation x2 + x – 30 = 12.

A
x = –7 or x = 6
B
x = –7 or x = –6
C
x = –6 or x = 7
D
x = 6 or x = 7
11

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

Question illustration
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.
12

What is the product?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
13

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).
14

Which equation is the inverse of ?

Question illustration
A
y = one-sixth x squared minus four-thirds x + StartFraction 43 Over 9 EndFraction
Option A
B
y = 4 plus-or-minus StartRoot 6 x minus StartFraction 34 Over 3 EndFraction EndRoot
Option B
C
y = negative 4 plus-or-minus StartRoot 6 x minus StartFraction 34 Over 3 EndFraction EndRoot
Option C
D
negative (x minus 4) squared minus two-thirds = negative 6 y + 12
Option D
16

Which algebraic expression represents the phrase “seven more than half of a number”?

A
7 minus one-half x
Option A
B
Negative 7 + one-half x
Option B
C
One-half x + 7
Option C
D
Negative one-half x minus 7
Option D
17

What is the factored form of ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
18

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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