AnswersAZ-Common Core Algebra II AUnit Test

Unit Test — Unit test Answers

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1
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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
2
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What is the solution set of the quadratic inequality

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
3

A soccer ball is kicked upward from a hill and then falls to the ground. The height, in feet, of the ball after t sec is modeled by the function h(t) = –16t2 + 26t +12. What is the initial height of the ball?

A
–16 ft
B
–12 ft
C
12 ft
D
22 ft
4

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
5

Use the zero product property to find the solutions to the equation 6x2 – 5x = 56.

A
x = –8 or x =
Option A
B
x = or x =
Option B
C
x = or x =
Option C
D
x = or x =
Option D
6

What is one of the solutions to the following system?

Question illustration
A
(–5, 2)
B
(–2, 1)
C
(2, 5)
D
(8, 5)
7

The sum of two complex numbers, where the real numbers do not equal zero, results in a sum of 34i. Which statement must be true about the complex numbers?

A
The complex numbers have equal imaginary parts.
B
The complex numbers have equal real parts.
C
The complex numbers have opposite imaginary parts.
D
The complex numbers have opposite real parts.
8

What is the equation of the axis of symmetry of the graph of y + 3x – 6 = –3(x – 2)2 + 4?

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

What is the distance from the origin to point P graphed on the complex plane below?

Question illustration
A
StartRoot 7 EndRoot
Option A
B
StartRoot 29 EndRoot
Option B
C
7
D
29
10

Which equation demonstrates the multiplicative identity property?

A
(negative 3 + 5 i) + 0 = negative 3 + 5 i
Option A
B
(negative 3 + 5 i ) (1) = negative 3 + 5 i
Option B
C
(negative 3 + 5 i) (negative 3 + 5 i) = negative 16 minus 30 i
Option C
D
(negative 3 + 5 i) (3 minus 5 i) = 16 + 30 i
Option D
11

When a baseball is hit by a batter, the height of the ball, h(t), at time t, , is determined by the equation . If t is in seconds, for which interval of time is the height of the ball greater than or equal to 52 feet?

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
12

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
13

Mark is solving an equation where one side is a quadratic expression and the other side is a linear expression. He sets the expressions equal to y and graphs the equations. What is the greatest possible number of intersections for these graphs?

A
none
B
one
C
two
D
infinitely many
14

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.
15

In which quadrant is the number 6 – 8i located on the complex plane?

A
I
B
II
C
III
D
IV
16

What is the domain of the function ?

Question illustration
A
x greater-than-or-equal-to negative 5
Option A
B
x greater-than-or-equal-to 2
Option B
C
x greater-than-or-equal-to 5
Option C
D
x greater-than-or-equal-to 10
Option D
17

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
18

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.
C
The slope of the line is equal to 7.
D
The slope of the line is not equal to 7.
19

Becca graphs the equations y = –3(x – 1) and y = x – 5 to solve the equation –3(x – 1) = x – 5. Her graph is shown below.What are the solution(s) of –3(x – 1) = x – 5?

Question illustration
A
–5 and 3
B
–3
C
1 and 5
D
2
20

Stacey has a square piece of cloth. She cuts 3 inches off of the length of the square and 3 inches off of the width. The area of the smaller square is the area of the original square. What was the side length of the original square?A = s2

Question illustration
A
1 in.
B
2 in.
C
6 in.
D
12 in.

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