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Final Exam Review

Total questions: 61

Worksheet time: 3hrs 5mins

Name
Class
Date
1.

Solve for the missing angle

a)

50.5 degrees

b)

12.7 degrees

c)

36.9 degrees

d)

72.2 degrees

2.

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

3.
If you are given the two sides that are not the hypotenuse, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
4.
If you are given the hypotenuse and an adjacent side, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
5.
If you are given the opposite side and hypotenuse, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
6.
What is the formula for circumference of a circle given the diameter?
a)
C = π r
b)
C = 2 π r
c)
C = π d
d)
C = 2 π d
7.
If the circumference of a circle is 22 π ft, what is the radius?
a)
22 ft
b)
11ft
c)
π ft
d)
no ft
8.
The _____ is the distance from the center to any point on the circle.
a)
diameter
b)
radius
c)
π
d)
center
9.
The distance across a circle through its center is called the _____.
a)
diameter
b)
radius
c)
π
d)
center
10.
If you are given the diameter, how can you calculate the radius?
a)
Multiply the diameter by 2
b)
Divide the diameter by 2
c)
Add 2 to the diameter
d)
Subtract 2 from the diameter
11.
Which segment is the diameter?
a)
AC
b)
BD
c)
LM
d)
CE
12.
Which segment is a radius?
a)
LM
b)
DC
c)
BD
d)
ML
13.

The distance all the way around the circle is called the...

a)

radius

b)

diameter

c)

circumference

d)

area

14.

The space contained inside of a circle is called the...

a)

radius

b)

diameter

c)

circumference

d)

area

15.

A circular table top has a radius of 3 feet. A decorative trim is placed along the outside edge of the table. How long is the trim?

a)

6.28 feet

b)

12.56 feet

c)

18.84 feet

d)

25.12 feet

16.
What is the value of x?
a)
x = 160
b)
x = 40
c)
x = 80
d)
x = 360
17.
What is the measure of arc AYB
a)
50
b)
100
c)
180
d)
260
18.
What is the measure of ∠PTQ?
a)
100°
b)
140°
c)
180°
d)
120°
19.
Name a minor arc
a)
AD
b)
ADB
c)
AB
d)
CD
20.

The measure of a central angle is equal to the measure of its arc?

a)

TRUE

b)

FALSE

21.

Identify the inscribed angle

a)

< H

b)

< XYZ

c)

< Z

22.

Which number best represents an inscribed angle?

a)

1

b)

2

c)

8

d)

9

23.
Find the measure of arc AB.
a)
17
b)
34
c)
68
d)
146
24.
a)
A
b)
B
c)
C
d)
D
25.
In the equation
y = x2 +5x +7, match each leading coefficient with its correct letter 
a)
a=0, b=5, c=7
b)
a=1, b=5, c=7
c)
a=7, b=5, c=1
26.
Determine the values of
a, b, and c for
the quadratic equation: 
4x2 – 8x = 3
a)
a = 4, b = -8, c = 3
b)
a = 4, b =-8, c =-3
c)
a = 4, b = 8, c = 3
d)
a = 4, b = 8, c = -3
27.
What  are the solutions of this graph?
a)
-2 and 3
b)
-1/2 and -6
c)
-2 and -6
d)
3 and -6
28.
How many zeros does this parabola have? 
a)
3
b)
2
c)
0
d)
1
29.
Solve
4m2 - 100 = 0
a)
m=25, -25
b)
m=96
c)
m=5, -5
d)
m=-96
30.

Simplify

a)
b)
c)
d)
31.
x2 = 16
a)
± 4
b)
± 8
c)
4
d)
8
32.

Solve by factoring.

x2 + 15x + 44 = 0

a)

{-8, 2}

b)

{-7, 5}

c)

{-11, -4}

d)

{-11}

33.

Solve by factoring. (what do they have in common)

n² - 2n = 0

a)

n = 2 and 0

b)

n = -2 and 0

c)

n = 2

d)

n = 0

34.

What do the "Zeros" represent on a quadratic equation graph?

a)

x-intercepts

b)

y-intercepts

c)

vertex

d)

focus

35.

Does the quadratic have a maximum or minimum vertex, and does the parabola open up or down?

a)

max/ opens down

b)

min/ opens up

c)

max/ opens up

d)

min/ opens down

36.
The graph of a quadratic function is called a
a)
Parabola
b)
Vertex
c)
Axis of Symmetry 
d)
Vertex Form
37.

What is standard form of a quadratic Equation?

a)

Ax2 + Bx + C = 0

b)

Ax2 + B + Cx = 0

38.
What are the factors AND solutions of x2 + 2x – 3 = 0
a)
(x - 2)(x + 1); x=2, x=-1
b)
(x + 1)(x - 3); x=-1, x=3
c)
(x + 2)(x - 1); x=-2, x=1
d)
(x - 1)(x + 3); x=1, x=-3
39.

Solve for x: x(x-3)(x-4) = 0

a)

{0,3,4 }

b)

{3,4 }

c)

{ 0,-3,-4 }

d)

{ }

40.

Solve for X:

(x-5)(x+6)=0

a)

{5,5 }

b)

{ -5,-5 }

c)

{ -5,-6 }

d)

{5,-6 }

41.
Factor:
x2 + 5x - 24
a)
(x - 8)(x + 3)
b)
(x + 8)(x - 3)
c)
(x + 6)(x - 4)
d)
(x + 12)(x - 2)
42.

Factor:

x2 + 11x + 24

a)

(x + 6)(x + 4)

b)

(x + 12)(x + 2)

c)

(x - 8)(x - 3)

d)

(x + 8)(x + 3)

43.
Factor:
x2 - 10x + 24
a)
(x - 6)(x - 4)
b)
(x + 6)(x + 4)
c)
(x - 12)(x + 2)
d)
(x - 8)(x - 3)
44.
Factor:
x2 - 10x - 24
a)
(x + 12)(x - 2)
b)
(x - 6)(x - 4)
c)
(x - 12)(x + 2)
d)
(x +6)(x - 4)
45.
Find GCF of 22x3+11x2
a)
11x
b)
11x2
c)
22x
d)
22x2
46.
FACTOR
7w3-14w
a)
7w(w2-2)
b)
7w(w2-2w)
c)
7w(w-2)
d)
7w(w+2)
47.

4x2 - 64y2

a)

Unfactorable

b)

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

c)

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

d)

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

48.

x2 + 81

a)

Unfactorable

b)

( x - 9 ) ( x + 9 )

c)

( x + 9 ) ( x + 9 )

d)

( x - 9 ) ( x - 9 )

49.
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
50.
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
51.
Classify this polynomial by its degree and number of terms:  x2 + 2x + 6
a)
Linear polynomial
b)
Quadratic trinomial
c)
Quadratic binomial
d)
Cubic trinomial
52.
Classify this polynomial by its degree and number of terms:  x3 + 2x + 6
a)
Cubic polynomial
b)
Quadratic binomial
c)
Quadratic trinomial
d)
Cubic trinomial
53.

What is the degree of the polynomial 4x3y3

a)

4

b)

3

c)

6

d)

9

54.

8

a)

Constant polynomial

b)

Linear monomial

c)

Constant monomial

d)

Linear monomial with 0 terms

55.
Multiply: 
(4 – 3i)(-7 – 2i)
a)
A.  -23 + 13i
b)
B.  -23 - 29i
c)
C.  -34 + 13i
d)
D.  -34 - 29i
56.
(2i)(3i)
a)
5i
b)
-5
c)
6i2
d)
-6
57.
Simplify: 
(10+ 15i)-(48 - 30i)
a)
58 - 45i
b)
58 - 15i
c)
-38 - 15i
d)
-38 + 45i
58.
-6i+3i
a)
3i
b)
-3i
c)
-2i
d)
-3i2
59.
What letter usually represent imaginary number?
a)
a
b)
i
c)
j
d)
x
60.
Simplify √-81
a)
-√81
b)
-9i
c)
9i
d)
81i
61.
Simplify √-1
a)
1
b)
-i
c)
-1
d)
i

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