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Pre-Calc Review

Total questions: 87

Worksheet time: 6hrs 39mins

Name
Class
Date
1.
Which sets of numbers does √5 belong to?
a)
R, N, I
b)
Z, W, R
c)
I, Q, R
d)
I, R
2.
Simplify: (2x4-4x2+5x+2) ÷ (x+2)
a)
2x3-8x2+21-40+56/(x+2)
b)
2x3-8x2+16x-27+ 52/(x+2)
c)
2x3-8x2+16x-27+56/(x+2)
d)
2x2-8x+21-40/(x+2)
3.
Factor 9x2-64
a)
(3x-8)(3x+8)
b)
(2x-8)(2x+8)
c)
(3x-4)(3x+4)
d)
(3x-8)2
4.
How many real solutions does x2-8x+16 = 0 have?
a)
0
b)
1
c)
2
d)
infinitely many
5.
Find the value of the discriminant: 4x2-7x+8
a)
√79
b)
√-79
c)
-79
d)
-7±i√79/8
6.
Write the equation in vertex form:
y = -2x2+16x+4
a)
y=-2(x-4)2+4
b)
y =-2(x+4)2+36
c)
y=-2(x+4)2+4
d)
y =-2(x-4)2+36
7.
Solve:           (x-4)2-18 = 0
a)
x = 4 + 3√2
b)
x = 8.24, -.24
c)
x = 4 ± 3√2
d)
x = 4 ± √18
8.
The quadratic whose roots are -3 and 4.
a)
x2+x-12
b)
x2-x + 12
c)
x2+x+12
d)
x2-x-12
9.
What is the value: √-9 ⋅ √-16
a)
-12
b)
12i2
c)
12i
d)
-12i
10.
Simplify: (2i10)(-4i12)(-5i7)
a)
-40
b)
40i
c)
-40i
d)
40
11.
Simplify:
(2+3i)/(5+2i)
a)
(11 + 16i)/29
b)
(16 + 11i)/29
c)
16/29
d)
(4 + 11i)/29
12.
What is the vertex:
y = 2(x-3)2+18
a)
(-3,-18)
b)
(3,-18)
c)
(-3,18)
d)
(3,18)
13.
Which equation is perpendicular to y = 2x + 5?
a)
y = -1/2x + 7
b)
y = 1/2x + 7
c)
y = 2x + 7
d)
y = -2x + 7
14.
What is the equation of the line that passes through (0,4) and (5,0)? 
a)
y = -4/5x + 0
b)
y = -4/5x + 5
c)
y = -4/5x + 9
d)
y = -4/5x + 4
15.
Given f(x) = 3x - 2 and g(x) = x2-5. Find: (f-g)(2)
a)
5
b)
0
c)
4
d)
2
16.

Solve: x2+x+1=0

a)

(1 ± i√3)/2

b)

(1±i√2)/2

c)

(-1±i√3)/2

d)

-1±i√2)/2

17.
Evaluate:
∣-6∣⋅23 - (5-7)2
a)
32
b)
52
c)
44
d)
48
18.
What would you add to 
x2-16x+___ to complete the square?
a)
4
b)
64
c)
16
d)
8
19.
What would you add to 
x2-16x+___ to complete the square?
a)
4
b)
64
c)
16
d)
8
20.
Which quadratic is the widest?
a)
y = -3/4x2+4x+1
b)
y=2x2-3x+7
c)
y=-4x2+9
d)
y=7/5x2-5x+1
21.

Set up the problem so that you can solve for X.

a)

sin X = 41/28

b)

tan X = 41/28

c)

cos X = 28/41

d)

sin X = 28/41

22.

Solve for the missing angle

a)

50.5 degrees

b)

12.7 degrees

c)

36.9 degrees

d)

72.2 degrees

23.

Solve for x. Round to the nearest tenth.

a)

15.3

b)

16.6

c)

24.1

d)

24.3

24.
a)
18/30
b)
24/30
c)
18/24
d)
24/18
25.
An airplane takes off 200 yards in front of a 60 foot building. At what angle of elevation must the plane take off in order to avoid crashing into the building?
a)
73.30
b)
16.70
c)
17.46
d)
21.84
26.
Which one is the easy way to learn trigonometric ratios?
a)
Sah Coh Toa
b)
Soh Cah Toa
c)
Soh Cah Tao
d)
Soh Ceh Toa
27.

Simplify. You should only have positive exponents.


b-7f0b6

a)

1/b

b)

b

c)

0

d)

1

28.

Simplify. You should only have positive exponents.


(2m3n7)-5

a)

32m15n35

b)

32/m15n35

c)

1/32m15n35

d)

32m15/n35

29.

Simplify. You should only have positive exponents.

a)

3m4p11

b)

3m4/7p11

c)

3p/7m4

d)

7m4/3p

30.

Simplify. You should only have positive exponents.

a)

3g5/22f5

b)

3g5ff/22

c)

22g5/3f5

d)

3f5/22g5

31.

Simplify. You should only have positive exponents.


(x+5)3

a)

1

b)

x2+10x+25

c)

x3+125

d)

x3+5x2+25x+125

32.

Simplify. You should only have positive exponents.


(x+1)(x-2)(x+4)

a)

x3+4x2-6x-8

b)

x3+3x2-6x-8

c)

x3+4x2-4x-8

d)

x3+4x2-6x-4

33.

Simplify. You should only have positive exponents.


ln(1)

a)

e

b)

1

c)

No Solution

d)

0

34.

Simplify. You should only have positive exponents.


log(1/1000)

a)

-3

b)

-2

c)

2

d)

0

35.

Simplify. You should only have positive exponents.

a)

-3

b)

-2

c)

2

d)

0

36.

Simplify. You should only have positive exponents.

a)

0

b)

-1

c)

1

d)

Undefined

37.

Simplify. You should only have positive exponents.

a)

2(x-1)(x2+x+1)

b)

2/5x

c)

2x(x-1)(x2+x+1)/(x3-1)(5x2)

d)

2(x2+x+1)/5x2

38.

Simplify. You should only have positive exponents.

a)

((4x+1)(x-1)/x

b)

(16(x+1)(x-1))/x

c)

((4x+4)2)/2x

d)

((4x+4)(4x-1))/2x

39.

Simplify each expression.

Answers should have only positive exponents

and no rational exponents in the denominator.

a)

12

b)

10

c)

2√30

d)

4√30

40.

Simplify each expression.

Answers should have only positive exponents

and no rational exponents in the denominator.

a)

3(21/5)

b)

2(31/5)

c)

3√2

d)

2√3

41.

Simplify each expression.

Answers should have only positive exponents

and no rational exponents in the denominator.

a)

2∛3

b)

-6∛3

c)

2∛6

d)

2∛81

42.

Simplify each expression.

Answers should have only positive exponents

and no rational exponents in the denominator.

a)

53/2

b)

52/3

c)

51/4

d)

53/4

43.

Simplify each expression.

Answers should have only positive exponents

and no rational exponents in the denominator.

a)

y1/5

b)

1/y1/5

c)

y4/5/y

d)

y/y4/5

44.

Simplify each expression.

Answers should have only positive exponents

and no rational exponents in the denominator.

a)

4x2y4∜(x3)

b)

4y∜(x11)

c)

3xy∜(2x3)

d)

4x2y∜(x3)

45.

What are the solutions to the system of equations graphed below?

a)

(2, 0)

b)

(0, 4)

c)

(-2,0)

d)

(0, -4)

e)

No Solution

46.
Determine the number of solutions to the given linear-quadratic system.
a)
0 solutions
b)
1 solution
c)
2 solutions
d)
3 solutions
47.
Two equations were graphed on the set of axes below.  Which point is a solution to the system of equations ?
a)
(0,3)
b)
(5,0)
c)
(2,-3)
d)
(8,9)
48.
Solve:
x + y + z = 4
x = -2y
z = -3y
a)
(2, -1, 3)
b)
(-5, 3, 1)
c)
(10, -2, 0)
d)
(4, 1, -1)
49.

f(x) = x3 + 7

a)

Vertical translation up

b)

Vertical translation down

c)

Horizontal translation left

d)

Horizontal translation right

e)

No transformation

50.

Describe the transformations of the graph f(x) = x3 -----> g(x) = (x - 3)3 -2

a)

Right 3, Down 2

b)

Left 3, Up 2

c)

Right 3, Up 2

d)

Left 3, Down 2

51.
a)
(-∞, ∞)
b)
[-2, 2]
c)
(-2, 2)
d)
[-5, 5]
52.
What is the range of the function?
a)
[-1, +∞)
b)
(-1,1)
c)
[1.5, +∞)
d)
(-2, 2)
53.
Describe the end behavior of the graph.
a)
x → ∞, y→ ∞ and
x→ ∞, y→⁻∞
b)
x → ∞, y→ ∞ and
x→⁻∞, y→∞
c)
None of these
d)
x →∞,y→⁻∞ and
x→∞, y→⁻∞
54.
Describe the end behavior of the graph.
a)
x → ∞, y→ ∞ and x→∞, y→⁻∞
b)
x → ∞, y→ ∞ and x→⁻∞, y→∞
c)
x → ∞, y→ ∞ and x→⁻∞, y→ 0
d)
x → ∞,y→ ∞and x→ ⁻∞, y→ ⁻∞
55.
Factor completely: 
3x2 + 18x +15
Hint: Factor GCF first.
a)
3(x2 + 6x + 5)
b)
(x + 5)(x + 1)
c)
3(x + 5)(x + 1)
d)
Prime
56.

Find the complete factorization:

4x2 - 64y2

a)

4(x-4)(x+4)

b)

( 2x - 32y) (2 x + 32y)

c)

( 2x - 8y) (2 x - 8y)

d)

( 2x - 8y) (2 x + 8y)

57.
Factor completely:
2x2 + 7x + 6
a)
(2x - 3) (x - 2)
b)
(2x + 3) (x + 2)
c)
(x + 3) (2x + 2)
d)
prime
58.
Factor completely:
4x2 - 121
a)
(2x + 11) (11 - 2x)
b)
(2x - 11) (2x - 11)
c)
(2x + 11) (2x + 11)
d)
(2x + 11) (2x - 11)
59.
Find the sum.
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
a)
2x2 + 3x +1
b)
-2x2 - 11x -4
c)
2x2 + 5x -7
d)
-2x2 + 11x -4
60.
Find the difference. 
(3- 2x + 2x2) - (4x -5 +3x2)
a)
x2 + 6x + 8
b)
2x2 + 5x - 7
c)
-x2 -6x + 8
d)
-2x2 + 11x - 4
61.
Multiply.
(b+3)(b2+2b+1)
a)
b3+6b2+6b+3
b)
b3+5b2+7b+3
c)
4b3+8b2+3b
d)
3b3+6b2+3b
62.
2x3 + 5x2 + 9 ÷ x + 3
a)
2x2 - x + 3
b)
2x3 - x2 + 3x
c)
2x2 + 11x + 33 + 108/x+3
d)
2x2 - 5x + 12
63.
Dividex4 + x3 +2x2 +x -1  by (x+1)
a)
x2 + 2x -1
b)
x3 + 2x-1
c)
x2 - 2x + 1
d)
x3 - 2x + 1
64.
Find f(-3) in the function
f(x) = x3 - 3x2 +5x -18
a)
-87
b)
-33
c)
150
d)
-121
65.
What is the equation of the inequality:
a)
y > - ½x - 4
b)
y > -2x - 4 
c)
y ≥ - ½x - 4
d)
y > ½x - 4
66.
How is the equation shifted from its parent graph: y = x2?
y = - (x + 8)2 + 12
a)
Right 8, up 12, reflected in the x axis
b)
Left 8, up 12, reflected in the x axis
c)
Right 8, down 12, reflected in the x axis
d)
Left 8, up 12
67.
WHAT IS THAT?????
a)
A capybara
b)
A giant rat
c)
The ugliest dog ever
d)
A genetically mutated Meerkat
68.
Simplify the exponents:
(x4 y3 z)5(4zx8)2
a)
16x36y15z7
b)
8x36y15z7
c)
16x36y8z6
d)
16x19y8z7
69.
How many rolls make a baker's dozen?
a)
13
b)
12
c)
24
d)
There's no such thing
70.
Simplify:  i121
a)
i
b)
-i
c)
1
d)
-1
71.
What is factored form of the parabola?
a)
(x - 4)(x + 1) = y
b)
( x + 4)(x - 1) = y
c)
(x - 1.5)(x + 6.3) = y
d)
x2 - 3x - 4 = y
72.
What is the vertex of the parabola:
x2 - 8x + 5 = y
a)
(4 , -11)
b)
( -8, 5)
c)
(4, 3)
d)
No Solution
73.

The strongest muscle in the body is

a)

arm

b)

leg

c)

eye

d)

tongue

74.

It takes _____ for the average person to fall asleep!

a)

30 seconds

b)

6 minutes

c)

14 minutes

d)

53 minutes

75.

Cows can

a)

go down stairs, but not up

b)

go up stairs, but not down stairs

c)

go up and down stairs

76.

Which animal has a brain smaller than their own eye?

a)

ostrich

b)

cow

c)

eagle

d)

squid

77.

A ______ can clean its ears with its tongue.

a)

monkey

b)

giraffe

c)

llama

d)

fox

78.

The quick brown fox jumps over the lazy dog.


Which letter is this sentence missing from the alphabet?

a)

none

b)

V

c)

Y

d)

G

79.

The Hawaiian alphabet has ___ letters.

a)

7

b)

12

c)

19

d)

26

80.

Which of the following items was invented by a woman?

a)

bulletproof vests

b)

fire escapes

c)

windshield wipers

d)

all of these things

81.

In the 1830s, ketchup was sold as

a)

ointment

b)

face cream

c)

medicine

d)

sauce

82.

What do butterflies use to taste?

a)

antennas

b)

feet

c)

wings

83.

_____ is responsible for 15% of all the internet traffic.

a)

Netflix

b)

Youtube

c)

Facebook

d)

Google

84.

Amazon's largest warehouse is the size of ______.

a)

1 college campus

b)

17 football fields

c)

200 semi trucks

85.

Every minute, more than _____ hours of video are uploaded to YouTube

a)

100

b)

50

c)

20

d)

200

86.

Google was originally called

a)

Elgoog

b)

AskSteve

c)

SearchMonster

d)

Backrub

87.

In 1983, the first mobile phone went on sale for almost ________ each.

a)

$4,000

b)

$1,000

c)

$500

d)

$6,000

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