AnswersAlgebra III AQuadratic Inequalities

Quadratic Inequalities Answers

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1
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Use the product property of radicals to simplify the following radical. =

Question illustration
A
9i
B
–9i
C
9
D
–9
2
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Simplify

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
3

B: + i

Answer:

-1

4

B: + i

Answer:

-1

5

C: + i

Answer:

3

6

C: + i

Answer:

-4

7

D: + i

Answer:

4

8

D: + i

Answer:

1

9

Use the example as a model. Simplify the expressions. = i–i1–1

Question illustration
A
i
B
–i
C
1
D
–1
10

Check each true statement about the number. 7 minus StartRoot 3 EndRoot i

Question illustration
A
7 is the real part of the number.
B
is the imaginary part of the number.
C
is the coefficient of .
D
This number is the sum of a real number and an imaginary number.
11

Which of the following can be used to find the absolute value of 4 – 7i?

A
Option
B
Option
C
Option
D
Option
12

Use the product property of radicals to simplify the following radical. StartRoot negative 81 EndRoot = 9i–9i9–9

Question illustration
A
9i
B
–9i
C
9
D
–9
13

Use the inverse relationship to complete the expression.If i = , then = .

Question illustration
Answer:

-1

14

Check each true statement about the number.

Question illustration
A
7 is the real part of the number.
B
is the imaginary part of the number.
C
is the coefficient of .
D
This number is the sum of a real number and an imaginary number.
15

A: + i

Answer:

-2

16

The absolute value of any complex number a + bi is the from (a, b) to (0, 0) in the complex plane.

Answer:

distance

17

Using laws of exponents, i cubed = (i squared) i = –i–11i.

Question illustration
A
–i
B
–1
C
1
D
i
18

= i–i1–1

Question illustration
A
i
B
–i
C
1
D
–1
19

Because |a + bi| is equal to a distance, |a + bi| will always be a number.

A
negative imaginary
B
positive imaginary
C
negative real
D
positive real
20

Simplify StartRoot negative 50 EndRoot

Question illustration
A
Option
B
Option
C
Option
D
Option

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