AnswersWSFCS Math 2 CRUnit Test

Unit Test — Unit test Answers

18 verified answers
1
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Which statement about the following equation is true?2x2 – 9x + 2 = –1

A
The discriminant is less than 0, so there are two real roots.
B
The discriminant is less than 0, so there are two complex roots.
C
The discriminant is greater than 0, so there are two real roots.
D
The discriminant is greater than 0, so there are two complex roots.
2
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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
3

The first two steps for simplifying are shown below.Step 1: = Step 2: =

Question illustration
A
14
B
15
C
14
Option C
D
15
Option D
4

Which statement about the following equation is true?3x2 – 8x + 5 = 5x2

A
The discriminant is less than 0, so there are two real roots.
B
The discriminant is greater than 0, so there are two real roots.
C
The discriminant is less than 0, so there are two complex roots.
D
The discriminant is greater than 0, so there are two complex roots.
5

For what value of x is ? Assume z≠0.

Question illustration
A
4
B
8
C
16
D
64
6

The graph of the function is shown.

Question illustration
A
all real numbers
B
all real numbers greater than but not equal to 0
C
all real numbers less than or equal to 0
D
all real numbers greater than or equal to 0
7

Which represents the reflection of f(x) = over the y-axis?

Question illustration
A
A 2-column table has 4 rows. The first column is labeled x with entries negative 1, 0, 1, 4. The second column is labeled f (x) with entries undefined, 0, 1, 2.
Option A
B
A 2-column table has 4 rows. The first column is labeled x with entries negative 1, 0, 1, 4. The second column is labeled f (x) with entries undefined, 0, negative 1, negative 2.
Option B
C
On a coordinate plane, an absolute value graph starts at (0, 0) and goes to the left through (negative 4, 2).
Option C
D
On a coordinate plane, an absolute value graph starts at (0, 0) and goes up and to the left through (negative 2, 4).
Option D
8

Which statement about the following equation is true?3x2 – 8x + 5 = 5x2

A
The discriminant is less than 0, so there are two real roots.
B
The discriminant is greater than 0, so there are two real roots.
C
The discriminant is less than 0, so there are two complex roots.
D
The discriminant is greater than 0, so there are two complex roots.
9

Solve for in the equation .

Question illustration
A
x = 6 plus-or-minus 3 StartRoot 10 EndRoot
Option A
B
x = 6 plus-or-minus 2 StartRoot 7 EndRoot
Option B
C
x = 12 plus-or-minus 3 StartRoot 22 EndRoot
Option C
D
x = 12 plus-or-minus 3 StartRoot 10 EndRoot
Option D
10

For what values of m does the graph of y = 3x2 + 7x + m have two x-intercepts?

A
m greater-than StartFraction 25 Over 3 EndFraction
Option A
B
m less-than StartFraction 25 Over 3 EndFraction
Option B
C
m less-than StartFraction 49 Over 12 EndFraction
Option C
D
m greater-than StartFraction 49 Over 12 EndFraction
Option D
11

Which equation is equivalent to = 35?

Question illustration
A
= 175
Option A
B
x + 8 = 343
C
x + 8 = 21
D
x = 351
12

The center of a circle is at the origin on a coordinate grid. A line with a positive slope intersects the circle at (0, 7). Which statement must be true?

A
The circle has a radius greater than 7.
B
The circle has a radius equal to 7. ✓ Correct
C
The slope of the line is equal to 7.
D
The slope of the line is not equal to 7.
13

What is one of the solutions to the following system?

Question illustration
A
(–5, 2)
B
(–2, 1)
C
(2, 5)
D
(8, 5)
14

Which system is equivalent to ?

Question illustration
A
StartLayout Enlarged left-brace 1st Row 3 x squared minus 4 y squared = 25 2nd row 12 x squared + 4 y squared = 22 EndLayout
Option A
B
StartLayout Enlarged left-brace 1st Row 3 x squared minus 4 y squared = 25 2nd row negative 12 x squared + 4 y squared = 22 EndLayout
Option B
C
StartLayout Enlarged left-brace 1st Row 6 x squared minus 8 y squared = 25 2nd row negative 6 x squared minus 2 y squared = 11 EndLayout
Option C
D
StartLayout Enlarged left-brace 1st Row 6 x squared minus 8 y squared = 50 2nd row negative 6 x squared minus 2 y squared = 11 EndLayout
Option D
15

The function f(x) is graphed. It represents a translation of the square root function f(x) = .

Question illustration
A
f(x) =
Option A
B
f(x) =
Option B
C
f(x) = – 3
Option C
D
f(x) = + 3
Option D
16

The graph shows the translation, g(x), of the function f(x).What integer represents the horizontal translation of f(x) to g(x)?

Answer not available
17

What is the absolute value of the complex number ?

Question illustration
A
StartRoot 14 EndRoot
Option A
B
3 StartRoot 2 EndRoot
Option B
C
14
D
18
18

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
19

Solve the radical equation x – 7 = . Which statement is true about the solutions to the radical equation?

Question illustration
A
There are no true solutions.
B
There are two true solutions.
C
There is one extraneous solution, with a value greater than 4.
D
There is one true solution, with a value greater than 6.
20

The vertex of a parabola that opens downward is at (0, 4). The vertex of a second parabola is at (0, –4). If the parabolas intersect at two points, which statement must be true?

A
The second parabola opens downward.
B
The second parabola opens upward.
C
The points of intersection are on the x-axis.
D
The points of intersection are of equal distance from the y-axis.

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