AnswersAlgebra 2-1st Semester-CR KCKPS 02101040Unit Test

Unit Test — Unit test Answers

25 verified answers1 views
1
Free Preview

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

A
I
B
II
C
III
D
IV
2
Free Preview

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
3

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
4

Which pair of complex numbers has a real-number product?

A
(1 + 2i)(8i)
B
(1 + 2i)(2 – 5i)
C
(1 + 2i)(1 – 2i)
D
(1 + 2i)(4i)
5

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.
6

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
7

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
8

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
9

The area of a triangle is 1,440 cm2. The base of the triangle is 5 times the height. What is the height of the triangle?

A
12 cm
B
24 cm
C
46 cm
D
60 cm
10

What is the additive identity of the complex number 14 + 5i?

A
14 – 5i
B
0
C
1
D
–14 – 5i
11

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
12

Using the quadratic formula to solve 4x2 – 3x + 9 = 2x + 1, what are the values of x?

A
StartRoot 1 plus-or-minus StartRoot 159 EndRoot i Over 8 EndFraction
Option A
B
StartRoot 5 plus-or-minus StartRoot 153 EndRoot i Over 8 EndFraction
Option B
C
StartRoot 5 plus-or-minus StartRoot 103 EndRoot i Over 8 EndFraction
Option C
D
StartRoot 1 plus-or-minus StartRoot 153 EndRoot Over 8 EndFraction
Option D
13

What is the value of the expression i 0 × i 1 × i 2 × i 3 × i 4?

A
1
B
–1
C
i
D
–i
14

The length of a rectangle is three times the width. The area of the rectangle is 108 sq in. What is the width of the rectangle?

A
6 in.
B
9 in.
C
12 in.
D
36 in.
15

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
16

What is the value of ?

Question illustration
A
–3 + 6i
B
3 + 6i
C
5 + 5i
D
5 – 5i
17

Which values of p and q would make the value of the following expression equal to 58i? (3 – 7i)(p + qi)i

A
p = 3, q = 7
B
p = –3, q = 7
C
p = 3, q = –7
D
p = –3, q = –7
18

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
19

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.
20

Solve for in the equation .

Question illustration
A
x = negative 4 plus-or-minus StartRoot 37 EndRoot i
Option A
B
x = –4 ± 5i
C
x = 4 plus-or-minus StartRoot 37 EndRoot i
Option C
D
x = 4 ± 5i

Did you find these answers helpful?

More from this Course

Quiz
25 verified answers

Unit Test

Quiz
25 verified answers

Unit Test

Quiz
10 verified answers

Division of Polynomials