AnswersTX-Algebra II A-CRMixed Degree Systems

Mixed Degree Systems — Unit test Answers

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1
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If the discriminant of a quadratic equation is 4, which statement describes the roots?

A
There are two complex roots.
B
There are two real roots.
C
There is one real root.
D
There is one complex root.
2
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Which function is a quadratic function?

A
f(x) = 2x2
B
g(x) = 5x3
C
k(x) = –x
D
b(x) = –9x4
3

Which system of equations can be graphed to find the solution(s) to 4x2 = x2 + 7?

A
mc006-1.jpg
Option A
B
mc006-2.jpg
Option B
C
mc006-3.jpg
Option C
D
mc006-4.jpg
Option D
4

Solve for in the equation .

Question illustration
A
x = 3 plus-or-minus StartRoot 23 EndRoot
Option A
B
x = 3 plus-or-minus StartRoot 51 EndRoot
Option B
C
x = 3 plus-or-minus StartRoot 41 EndRoot
Option C
D
x = 3 plus-or-minus StartRoot 5 EndRoot
Option D
5

Which expression is equivalent to (4 + 6i)2?

A
–20 + 48i
B
8 + 12i
C
16 – 36i
D
20 + 48i
6

Use the zero product property to find the solutions to the equation x2 – 9 = 16.

A
x = –3 or x = 3
B
x = –6 or x = –3
C
x = –5 or x = 5
D
x = 7 or x = 1
7

What are the values of x in the equation x2 – 6x + 9 = 25?

A
x = –2 or x = 8
B
x = –1 or x = –11
C
x = 1 or x = 11
D
x = 2 or x = –8
8

Tim throws a stick straight up in the air from the ground. The function h = –16t2 + 48t models the height, h, in feet, of the stick above the ground after t seconds. Which inequality can be used to find the interval of time in which the stick reaches a height of more than 8 feet?

A
–16t2 + 48t > 8
B
–16t2 + 48t < 8
C
–16t2 + 48t ³ 8
D
–16t2 + 48t £ 8
9

Which equation is an example of the commutative property of multiplication?

A
(4 + 2i) = (2i + 4)
B
(4 + 2i)(3 – 5i) = (3 – 5i)(4 + 2i)
C
(4 + 2i)(3 – 5i) = (4 + 2i)(3 – 5i)(1)
D
(4 + 2i) = (4 + 2i + 0)
10

Solve for in the equation .

Question illustration
A
x = negative 11 plus-or-minus StartFraction 25 Over 2 EndFraction
Option A
B
x = negative eleven-halves plus-or-minus StartFraction 25 Over 2 EndFraction
Option B
C
x = negative 11 plus-or-minus StartFraction 5 StartRoot 5 EndRoot Over 2 EndFraction
Option C
D
x = negative eleven-halves plus-or-minus StartFraction 5 StartRoot 5 EndRoot Over 2 EndFraction
Option D
11

Which quadratic inequality does the graph below represent?

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
12

What is the value of i 97 – i?

A
–i
B
0
C
–2i
D
i Superscript 96
Option D
13

Carlos graphs the equations and and generates the graph below. Which conclusion is supported by the graph?

Question illustration
A
The equation has no real solutions.
Option A
B
The equation has one real solution.
Option B
C
The equation has two real solutions.
Option C
D
The equation has four real solutions.
Option D
14

Using the quadratic formula to solve 11x2 – 4x = 1, what are the values of x?

A
StartFraction 2 Over 11 EndFraction plus-or-minus StartFraction StartRoot 15 EndRoot Over 11 EndFraction
Option A
B
StartFraction 2 Over 11 EndFraction plus-or-minus StartFraction 2 StartRoot 15 EndRoot Over 11 EndFraction
Option B
C
StartFraction 2 Over 11 EndFraction plus-or-minus StartFraction StartRoot 7 EndRoot Over 11 EndFraction
Option C
D
StartFraction 2 Over 11 EndFraction plus-or-minus StartFraction StartRoot 7 EndRoot i Over 11 EndFraction
Option D
15

Use the zero product property to find the solutions to the equation 2x2 + x – 1 = 2.

A
x = or x = 2
Option A
B
x = –2 or x =
Option B
C
x = or x = 1
Option C
D
x = 1 or x =
Option D

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