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WorksheetsFinal Exam Review
Total questions: 65
Worksheet time: 4hrs 0mins
Name
Class
Date
1.
What is the vertex of the parabola shown?
a)
(-1, 0)
b)
(0, -3)
c)
(1, -4)
d)
(3, 0)
2.
Which method is best for solving the equation 8x2-13x+3=0?
a)
square roots
b)
factoring
c)
graphing
d)
quadratic formula
3.
Identify the 'a' value: y = 16x2 -8x -24
a)
16
b)
8
c)
-8
d)
-24
4.
Identify the 'b' value: y = 16x2 -8x -24
a)
16
b)
-8
c)
8
d)
-24
5.
Identify the 'c' value: y = 16x2 -8x -24
a)
16
b)
-8
c)
24
d)
-24
6.
b2 would equal: y = 2x2 -x -3
a)
2
b)
-1
c)
1
d)
-3
7.
4ac would equal: y = 2x2 -x -3
a)
-12
b)
8
c)
-24
d)
-1
8.
b2 - 4ac would equal: y = 2x2 -x -3
a)
25
b)
-23
c)
-25
d)
0
9.
a)
A
b)
B
c)
C
d)
D
10.
a)
A
b)
B
c)
C
d)
D
11.
a)
A
b)
B
c)
C
d)
D
12.
Simplify the following expression: 3x+32=68
a)
x=12
b)
x=100
c)
x=32
d)
x=68
13.
Simplify the following expression: 2x-25=13
a)
x=12
b)
x=38
c)
x=19
d)
x=13
14.
Factor the following equation: 2x²-7x-15
a)
(2x+3)(x-5)
b)
(2x-3)(x-5)
c)
(2x-3)(x+5)
d)
(2x+5)(x+5)
15.
Use the graph to determine the solutions.
a)
-1 and -3
b)
1 and -3
c)
1 and 3
d)
-1 and 3
16.
Determine the values of
a, b, and c for
the quadratic equation:
0 = -3 + 4x2 – 8x
a, b, and c for
the quadratic equation:
0 = -3 + 4x2 – 8x
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
17.
Is the pictured graph growth, decay, or linear or none?
a)
Growth
b)
Decay
c)
Linear
d)
None
18.
Is this exponential growth or decay?
a)
Growth
b)
Decay
19.
What type of function is f(x)=2(1/7)x ?
a)
Exponential Growth
b)
Linear
c)
Exponential Decay
d)
None of the Abovee
20.
Evaluate:
log416
log416
a)
2
b)
4
c)
1/2
d)
-2
21.
Evaluate:
log3(1/9)
log3(1/9)
a)
2
b)
1/2
c)
-2
d)
-1/2
22.
Simplify the expression log5(625)
a)
125
b)
620
c)
4
d)
5
23.
True or False: log₈64=2
a)
True
b)
False
24.
83x+3 = 86
a)
x=28
b)
x=3
c)
x=1
d)
x=12
25.
Is the graph pictured a function?
a)
Yes
b)
No
26.
What is the definition of function?
a)
Has inputs and outputs
b)
Every input has only ONE output
c)
Inputs have different outputs every time
d)
x-values and y-values
27.
Is the graph pictured a function?
a)
Yes
b)
No
28.
a)
Function
b)
Not a Function
29.
a)
Function
b)
Not a Function
30.
a)
Function
b)
Not a Function
31.
a)
Function
b)
Not a Function
32.
What is the range of the function?
a)
R:{y is less than or equal to 3}
b)
R:{y is greater than or equal to 3}
c)
R:{all real numbers}
d)
R:{y is between and including -6 and 3}
33.
What is the domain of the function?
a)
D:{ x is greater than or equal to 3}
b)
D:{x is less than or equal to 3}
c)
D:{all real numbers}
d)
D:{ x is all real numbers between and including -1 and 5}
34.
What is the solution to this system?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(2, 0)
35.
What is the solution?
a)
(2, 2)
b)
(3, 2)
c)
(3, 4)
d)
(2, 3)
36.
Steffen graphed two lines in order to find the solution to a given system of equations.
What is the solution?
What is the solution?
a)
(-3,-8)
b)
(-8,-3)
c)
(3,-8)
d)
(8,3)
37.
What is the solution?
a)
1
b)
-2
c)
(1, 2)
d)
(1, -2)
38.
What is the solution to the system?
a)
(0, 3)
b)
(1, -1)
c)
(-3, 1)
d)
(1, 3)
39.
Solve by graphing:
y = 2x -6
y = 2x +3
y = 2x -6
y = 2x +3
a)
(-1.5,-4)
b)
(1.5,4)
c)
No solution (parallel lines)
d)
Infinitely many solutions
40.
Solve by graphing:
y = -4/2x + 3
y = -2x + 3
y = -4/2x + 3
y = -2x + 3
a)
(0,3)
b)
(3,0)
c)
No solution(parallel lines)
d)
Infinitely many solutions
41.
This system has _____ solutions
a)
0
b)
1
c)
2
d)
Infinitely many
42.
This system has _____ solutions
a)
0
b)
1
c)
2
d)
Infinitely many
43.
Find the slope of the line that passes through the points (2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
44.
Find the slope of the line that passes through
(-2, 8) and (0, 8)
(-2, 8) and (0, 8)
a)
0
b)
-2
c)
2
d)
1/2
45.
Find the slope of the line that passes through
(1, -19) and (-2, -7)
(1, -19) and (-2, -7)
a)
-4
b)
4
c)
1/4
d)
-1/4
46.
Find the slope of the line that passes through
(-4, 7) and (-6, -4)
(-4, 7) and (-6, -4)
a)
2/11
b)
-2/11
c)
11/2
d)
-11/2
47.
Find the slope of the line that passes through
(17, 2) and (17, -3)
(17, 2) and (17, -3)
a)
0
b)
undefined
c)
5
d)
-5
48.
How many degrees does circle have?
a)
360 degrees
b)
2pi
c)
180 degrees
d)
pi
49.
How many radians does a circle have?
a)
360 degrees
b)
2pi radians
c)
pi radians
d)
2 radians
50.
Co-terminal angles for 45o include:
a)
-315o, pi/4, and -7pi/4
b)
315o, -pi/4, and, 7pi/4
c)
-315o, -pi/4, and -7pi/4
d)
315o, pi/4, and 7pi/4
51.
Convert 100⁰ to radians
a)
5π/9
b)
π/2
c)
5π/8
d)
5π/6
52.
Convert 3π/4 to degrees
a)
147.3°
b)
135°
c)
125°
d)
173.8°
53.
Convert π/4 radians to degrees
a)
90⁰
b)
45⁰
c)
60⁰
d)
30⁰
54.
Convert 150⁰ to radians
a)
5π/6
b)
3π/4
c)
7π/6
d)
2π/3
55.
What is 360 degrees in radians?
a)
2π/3
b)
5π/4
c)
2π
d)
π
56.
What is 45 degrees in radians?
a)
π/2
b)
π/6
c)
π/4
d)
3π/4
57.
What is 90 degrees in radians?
a)
π/4
b)
π/2
c)
π/6
d)
3π/2
58.
What is 11π/6 radians in degrees?
a)
30
b)
330
c)
360
d)
300
59.
Find the value of the trig function indicated.
a)
A
b)
B
c)
C
d)
D
60.
Find the value of the trig function indicated.
a)
A
b)
B
c)
C
d)
D
61.
Find the value of the trig function indicated.
a)
A
b)
B
c)
C
d)
D
62.
Find the value of the trig function indicated.
a)
A
b)
B
c)
C
d)
D
63.
What is the phase shift?
y=-2sin(x-π)
y=-2sin(x-π)
a)
π left
b)
π right
c)
none
d)
2π right
64.
Which function below describes only the following transformations?
Left π/2
Period: π
Left π/2
Period: π
a)
csc2(x+π/2)
b)
2sec(x+π/2)
c)
tanπ/2(x+2)
d)
2-csc(x+π/2)
65.
Which function below describes only the following transformations?
Up 3
Right π/6
Up 3
Right π/6
a)
3+cos(x-π/6)
b)
3sec(x-π/6)
c)
tan(x+π/6)-3
d)
sin3(x+π/6)
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