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4A Algebra 2 Review

Total questions: 65

Worksheet time: 3hrs 15mins

Name
Class
Date
1.
Simplify: 
(7 + 2i)(9 - 6i)
a)
75-24i
b)
63 - 24i  - 12i2
c)
51 - 24i
d)
58 + 60i
2.
What does i2 = ?
a)
-1
b)
√-1
c)
1
d)
-√1
3.
Multiply
(3i)(-2+4i)
a)
-6+12i
b)
-12-6i
c)
-2+7i
d)
12+6i
4.
Multiply: 
(4 – 3i)(7 + 2i)
a)
A.  22 - 13i
b)
B.  28 - 19i
c)
C.  34 - 13i
d)
D.  -34 - 29i
5.

How do you write a complex number?

a)

a-bi

b)

a+bi

c)

ai+b

d)

ai-b

6.
Simplify:  (4+2i)/(3-i)
a)
1-i
b)
1+i
c)
10+10i
d)
1+10i
7.

What letter represents an imaginary number?

a)

a

b)

i

c)

j

d)

x

8.
(-3-i)(6-i)
a)
-21-7i
b)
-19-3i
c)
-15-5i
d)
-17-9i
9.
(7-5i)(7+5i)
a)
74
b)
75
c)
74-1
10.

A complex number can be expressed as a + bi. What does a represent?

a)

the real part of the complex number

b)

the imaginary part of the complex number

c)

depends on the sign of the number

d)

the square root of the complex number

11.
Find the inverse of f(x) = -4x - 12
a)
f-1(x) = 4x - 3
b)
f-1(x) = -1/4x - 3
c)
f-1(x) = 1/4x + 3
d)
f-1(x) = -4x - 3
12.

Find the inverse of f(x) = -3x2+5

a)
b)
c)
d)
13.
Find the inverse of
f(x) = 1/4x - 7
a)
f-1(x) = 4x + 7
b)
f-1(x) = -4x + 28
c)
f-1(x) = -4x - 7
d)
f-1(x) = 4x + 28
14.
Sovle for x:
5-3x - 1 = 25
a)
x = -1
b)
x = -4
c)
x = -3
d)
x = 1
15.
Solve 8 = 25x+7
a)
x = ⅘
b)
x = ¼
c)
x = -⅘
d)
x = -¼
16.

Solve each equation. Select the closest answer.

a)

4.5

b)

1.5

c)

1.8

d)

5

17.
Solve the equation for x.
a)
x = 2
b)
x = 3
c)
x = 8
d)
x = 64
18.
Write in exponential form: ∛4⁵
a)
43/5
b)
45/3
c)
41/5
d)
41/3
19.
Based on your unit circle cos(90o)=
a)
1
b)
0
c)
-1
d)
1/2
20.
sin(0°)
a)
0
b)
1/2
c)
√3/2
d)
1
21.
cos(60°)
a)
0
b)
1/2
c)
√3/2
d)
1
22.
What is the exact value of sin 150°
a)
-1/2
b)
-√3/2
c)
1/2
d)
√3/2
23.
What is a complete circle in radians?
a)
π
b)
2π
c)
1/2 π
d)
1
24.
What is half a circle in radians?
a)
π/4
b)
π
c)
2π
d)
π/2
25.
Which equation below is a quadratic function translated up 5 units?
a)
y = x2 + 5
b)
y = (x + 5)2
c)
y = 5x2
d)
y = -x2 - 5
26.
Which equation below is a quadratic function translated left 4 units?
a)
y = x2 + 4
b)
y = (x + 4)2
c)
y = (x - 4)2
d)
y = 4x2
27.
Describe the transformation
a)
left 2 up 5
b)
right 2 up 5
c)
left 2 down 5
d)
right 2 down 5
28.
What are the transformations to the graph compared to the parent function?
a)
Shifted right 2, shifted up 3, and reflected over the y-axis
b)
Shifted left 2, shifted up 3, and reflected over the y-axis
c)
Shifted left 2, shifted up 3, and reflected over the x-axis
d)
Shifted right 2, shifted up 3, and reflected over the x-axis
29.
If the blue is f(x)=x2, the red must be
a)
g(x)=(x+3)2
b)
g(x)=(x-3)2
c)
g(x)=x2+3
d)
g(x)=x2-2
30.
Write an absolute value function given the following transformations:
Reflection across the x-axis
Vertical shift right 2 units
Horizontal shift down 7 units
a)
y = -|x + 2| - 7 
b)
y = |x - 2| - 7 
c)
y = -|x - 2| - 7
d)
y = -|x - 2| + 7
31.

Solve

a)

x = -5

b)

x = 1/5

c)

No Solution

d)

x = -1

32.

Solve the radical equation

a)

v = 9

b)

v = 82

c)

v = -9

d)

v = -82

33.

Solve

a)

v = -14

b)

v = 14

c)

No Solution

d)

v = 28

34.

Solve.

a)

No Solution

b)

a = 6

c)

a = 3

d)

a = 4

35.
Convert 150⁰ to radians
a)
5π/6
b)
3π/4
c)
7π/6
d)
2π/3
36.
Convert 100⁰ to radians
a)
5π/9
b)
π/2
c)
5π/8
d)
5π/6
37.
What is 7π/4 radians in degrees?
a)
300
b)
135
c)
315
d)
45
38.
What is 2π/3 radians in degrees? 
a)
150
b)
120
c)
180
d)
 30
39.

Which TWO are equivalent to the above expression?

a)
b)
c)
d)
40.

Write the above expression in exponential form.

a)
b)
c)
d)
41.

Write the above expression in exponential form.

a)
b)
c)
d)
42.

Write the above expression in exponential form.

a)
b)
43.

Write the above expression in exponential form.

a)
b)
44.
The __________ represents the distance above or below the midline of a sine or cosine graph; we always take the absolute value of this height. 
a)
Period
b)
Frequency
c)
Extreme Values
d)
Amplitude
45.
What is the amplitude of this function?
a)
4
b)
2
c)
4π
d)
½
46.
what is the amplitude of the graph shown
a)
1
b)
2
c)
3
d)
4
47.
what is the amplitude of
y = 3sin (7x) -2
a)
7
b)
-2
c)
3
d)
6
48.
The period of a sine or cosine graph can be found by ....
a)
It's always 2π
b)
2π/B
c)
B(2π)
d)
2π+B
49.

What is the equation of the graph?

a)

y = 2 cos x

b)

y = cos 2x

c)

y = 2 sin x

d)

y = sin 2x

50.
What is the equation of the graph?
a)
y = -2cos x - 3
b)
y = 2cos x + 3
c)
y = -3cos x - 2
d)
y = -2sin x - 3 
51.

What Jane Austen novel was the movie Clueless loosely based on?

a)

Emma

b)

Sense and Sensibility

c)

Pride and Predjudice

d)

Persuasion

52.

Where was the very first season of The Real World taped?

a)

Los Angeles

b)

New York

c)

San Francisco

d)

Maimi

53.

What is the name of the famous 90's haircut inspired by a TV celebrity?

a)

The Gosselin

b)

The Miley

c)

The Rachel

d)

The Karlie Chop

54.

Who played the TV character that was “chilling out, maxing, relaxing all cool” before being sent to his uncle’s house?

a)

Martin Lawrence

b)

Keenan Ivory Wayans

c)

Alfonso Ribeiro

d)

Will Smith

55.

Which Spice Girl singer wasn’t an original member of the group?

a)

Baby Spice

b)

Sporty Spice

c)

Ginger Spice

d)

Scary Spice

56.

In the hit show Seinfeld, what mega celebrity does George crash into and injure during a charity softball event?

a)

Susan Sarandon

b)

Bett Midler

c)

Kirstie Alley

d)

Meryl Streep

57.

Which rapper was know for his parachute pants?

a)

Snoop Dogg

b)

Vanilla Ice

c)

MC Hammer

d)

2Pac

58.

Who played Forest Gump’s Tom Hanks love interest in the 1994 film Forest Gump?

a)

Holly Hunter

b)

Meg Ryan

c)

Sally Fields

d)

Robin Wright

59.

What was Whitney Houstons’ biggest hit of the 1990’s?

a)

I Will Always Love You

b)

I Wanna Dance with Somebody

c)

How Will I Know

d)

I Have Nothing

60.

What is the name of the character that played Zach’s dream girl on the hit show Saved By the Bell?

a)

Sally McAllister

b)

Carrie Hamblin

c)

Jessie Spano

d)

Kelly Kapowski

61.

What country did the Dream Team beat in the 92 Olympics to win the gold medal?

a)

Russia

b)

Croatia

c)

Spain

d)

China

62.

What band is featured on Beavis’ shirt?

a)

Metallica

b)

ACDC

c)

Alice in Chains

d)

Nine Inch Nails

63.

What year did the google search engine first debut?

a)

1990

b)

1993

c)

1998

d)

1995

64.

What year were these songs #1 Hits

a)

Waterfalls-TLC

1.

1994

b)

Torn - Natalie Imbruglia

2.

1997

c)

The Sign - Ace of Base

3.

1992

d)

Rosa Parks - Outkast

4.

1998

65.

All of these celebrities were born in the 90's.

Rank them from oldest to youngest.

a)

Jennifer Lawrence

b)

Kate Upton

c)

Justin Beiber

d)

Jaden Smith

1)
2)
3)
4)

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