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WorksheetsFull Year
Total questions: 146
Worksheet time: 4hrs 7mins
Name
Class
Date
1.
What are the green dots called?
a)
axis of symmetry
b)
vertex
c)
parabola
d)
roots or x-intercepts
2.
What is the green dot on the parabola called?
a)
maximum
b)
minumum
c)
roots
d)
zeros
3.
Standard form of a quadratic equation
a)
y=x²
b)
y=ax²+bx+c
c)
y=mx+b
d)
y=x
4.
Does this graph have a maximum or minimum?
a)
Minimum
b)
Maximum
5.
What is the equation for this parabola in factored form?
a)
y=(x+2)(x-1)
b)
y=(x-2)(x+1)
c)
y=(x-2)(x-1)
d)
y=(x+2)(x+1)
6.
True or false:
The solution, root, x-intercept, and zero of a problem are all the same thing
The solution, root, x-intercept, and zero of a problem are all the same thing
a)
True
b)
False, because the solution and root are the same but the x-intercept and zero are different
c)
False, because the x-intercept and root are the same but the zero and solution are different
d)
False, they are all different
7.
Identify the 'b' value: y = 16x2 -8x -24
a)
16
b)
-8
c)
8
d)
-24
8.
Factor:
x2 + 5x - 24
x2 + 5x - 24
a)
(x - 8)(x + 3)
b)
(x + 8)(x - 3)
c)
(x + 6)(x - 4)
d)
(x + 12)(x - 2)
9.
Factor:
x2 + 11x + 24
a)
(x + 6)(x + 4)
b)
(x + 12)(x + 2)
c)
(x - 8)(x - 3)
d)
(x + 8)(x + 3)
10.
Factor:
x2 - 10x + 24
x2 - 10x + 24
a)
(x - 6)(x - 4)
b)
(x + 6)(x + 4)
c)
(x - 12)(x + 2)
d)
(x - 8)(x - 3)
11.
Factor:
x2 + 25x + 24
x2 + 25x + 24
a)
(x + 5)(x + 5)
b)
(x + 24)(x + 1)
c)
(x + 12)(x + 2)
d)
(x + 8)(x + 3)
12.
What is the vertex of the quadratic function:
y = x2 - 6x + 11?
y = x2 - 6x + 11?
a)
(3,2)
b)
(-3,-2)
c)
(-3,2)
d)
(3,-2)
13.
Determine the vertex of the parabola:
y = 5x2 - 20x + 13
y = 5x2 - 20x + 13
a)
(5, -7)
b)
(-2, -7)
c)
(2, -7)
d)
(-7, -2)
14.
If given the equation
y = 3(x + 5)2 - 4,
what is the vertex of the parabola?
y = 3(x + 5)2 - 4,
what is the vertex of the parabola?
a)
(5, -4)
b)
(-5, -4)
c)
(-15, -4)
d)
(15, -4)
15.
Given the equation for this parabola:
y=-(x-4)2-3,
does this parabola have a maximum or minimum value?
y=-(x-4)2-3,
does this parabola have a maximum or minimum value?
a)
Maximum
b)
Minimum
16.
Which equation has a vertex of (-3, 4)?
a)
y = 2(x+3)2 + 4
b)
y = (x+3)2 - 4
c)
y = (x-3)2 + 4
d)
y = 2(x - 3)2 + 4
17.
Which of the following equations matches standard form of a quadratic?
a)
ax + by = c
b)
y = a(x - h)2 + k
c)
y = ax2 + bx + c
d)
y = mx + b
18.
What is the domain and range of the given parabola:
y=6(x-4)2-1?
y=6(x-4)2-1?
a)
Domain: all real numbers
Range: y≥-1
Range: y≥-1
b)
Domain: x≥-1
Range: all real numbers
Range: all real numbers
c)
Domain: all real numbers
Range: y ≤-1
Range: y ≤-1
d)
Domain: x≤-1
Range: all real numbers
Range: all real numbers
19.
Sine or Cosine?
a)
y=sinx
b)
y=cosx
20.
Sine or Cosine?
a)
y=sinx
b)
y=cosx
21.
The __________ represents half the distance between the max and min of a sine or cosine graph.
a)
Period
b)
Frequency
c)
Extreme Values
d)
Amplitude
22.
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
23.
Phase shift means ...
a)
An up or down movement
b)
A left or right movement
c)
Height of graph
d)
...set Phasers to stun
24.
What is the domain and range of y=sinx?
a)
D: (-∞, ∞)
R: [-1, 1]
R: [-1, 1]
b)
D: (-∞, ∞)
R: [-π, π]
R: [-π, π]
c)
D: (∞, -∞)
R: [-1, 1]
R: [-1, 1]
d)
D: (-∞, ∞)
R: [-∞, ∞]
R: [-∞, ∞]
25.
What is the period of either graph?
(y = sin/cos x)
(y = sin/cos x)
a)
Pi
b)
2Pi
c)
Pi/2
d)
Pi/4
26.
What is the amplitude of the graph?
a)
-2
b)
2
c)
4
d)
-4
27.
What is the period of this equation?
y = -5sin(3x)
y = -5sin(3x)
a)
-5
b)
2pi/3
c)
2pi/5
d)
3
28.
What does a negative A value cause?
a)
A negative amplitude
b)
A reflection across the Y axis
c)
No effect
d)
A reflection across X axis
29.
Based on your unit circle sin(0o)=
a)
1
b)
-1
c)
0
d)
1/2
30.
Based on your unit circle cos(30o)=
a)
1
b)
1/2
c)
sqt3/2
d)
sqt2/2
31.
a)
f(x) = 3 sin x
b)
f(x) = 3 cos x
c)
f(x) = sin (⅓ x)
d)
f(x) = cos (⅓ x)
32.
Which function represents the graph?
a)
f(x) = 3 sin x
b)
f(x) = 3 cos x
c)
f(x) = sin ( ⅓ x)
d)
f(x) = sin (3 x)
33.
What is the equation of the graph?
a)
y = 2 cos x
b)
y = sin x
c)
y = 2 sin x
d)
y = sin 2x
34.
What is the equation of graph?
a)
y = sin 5x
b)
y = cos 5x
c)
y = 5 sin x
d)
y = 5 cos x
35.
What is the equation of g(x)?
a)
g(x)=(x=3)2
b)
g(x)=x2-3
c)
g(x)=x2+3
d)
g(x)=3x2
36.
.
If the blue is f(x)=x2, then the red must be
If the blue is f(x)=x2, then the red must be
a)
g(x)=x2-5
b)
g(x)=x2+5
c)
g(x)=(x-5)2
d)
g(x)=(x+5)2
37.
a)
g(x)=x3+1
b)
g(x)=x3-1
c)
g(x)=(x-1)3
d)
g(x)=(x+1)3
38.
Which of the following transformations are present?
-2f(x - 1) + 2
-2f(x - 1) + 2
a)
Shift 1 unit down
b)
Shift 1 unit up
c)
Shift 1 unit left
d)
Shift 1 unit right
39.
Which transformation will occur if f(x) = x2 is replaced with 2⋅f(x)?
a)
Vertical Compression by a factor of 2
b)
Vertical Stretch by a factor of 2
c)
Vertical translation up by 2 units.
d)
Reflection across the x-axis.
40.
What is the circumference?
a)
48
b)
96
c)
24
d)
18
41.
FIND THE ARC LENGTH OF THE BOLDED ARC
a)
A
b)
B
c)
C
d)
D
42.
In circle O, the radius is 4, and the measure of minor arc AB is 120 degrees. Find the length of minor arc AB to the nearest integer.
a)
5
b)
9
c)
8
d)
6
43.
Find the arc length. Leave your answer in terms of π.
a)
7/4π
b)
7/2π
c)
1/8π
d)
45π
44.
Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Express answer to the nearest tenth of a square inch.
a)
9.2 sq. in.
b)
10.5 sq. in.
c)
31.4 sq. in.
d)
38.2 sq. in.
45.
FIND THE SECTOR AREA OUTLINED IN BOLD
a)
A
b)
B
c)
C
d)
D
46.
FIND THE SECTOR AREA OUTLINED IN BOLD
a)
A
b)
B
c)
C
d)
D
47.
FIND THE SECTOR AREA OUTLINED IN BOLD
a)
A
b)
B
c)
C
d)
D
48.
In the equation (x-3)2+(y+4)2=121, the center of the circle is at...
a)
(3, -4)
b)
(-3, 4)
c)
(4, 3)
d)
(-4, -3)
49.
In the equation (x-3)2+(y-2)2=16, the center of the circle is...
a)
(3,2)
b)
(-3, -2)
c)
(-2, -3)
d)
(2, 3)
50.
What is the center and radius for a circle with the equation:
(x-4)2+(y+2)2=25
(x-4)2+(y+2)2=25
a)
C:(4, -2), r=5
b)
C:(-4, 2), r=5
c)
C:(4, -2), r=25
d)
C:(-4, 2), r=25
51.
What is the center of the circle with equation x2 + y2 = 1?
a)
(1, 1)
b)
(0, 0)
c)
not enough information
52.
In the equation (x+2)2+(y-3)2=4, the radius of the circle is...
a)
4
b)
2
c)
3
d)
16
53.
a)
(x+1)2 + (y +1)2 = 3
b)
(x+1)2 + (y -1)2 = 3
c)
(x+1)2 + (y +1)2 = 9
d)
(x-1)2 + (y -1)2 = 9
54.
Write the equation of a circle with center (7, 0) with radius 3.
a)
(x - 7)2 + y2 = 9
b)
x2 + (y -7)2 = 9
c)
(x - 7)2 + y2 = 3
d)
x2 + (y -7)2 = 3
55.
A = {1, 3, 5, 7, 9}
B = {2, 3, 5, 7}
What is A ∩ B ?
B = {2, 3, 5, 7}
What is A ∩ B ?
a)
{3, 5, 7}
b)
{2, 3, 5, 7}
c)
{2, 3, 5, 7, 9}
d)
{1, 2, 3, 5, 7, 9}
56.
Which is the correct set notation for A U B?
a)
{12, 14, 15, 18, 21}
b)
{10, 11, 12, 14, 15, 18, 21}
c)
{10, 11, 13, 16, 17, 19, 20}
d)
{12, 14, 15}
57.
What does the shaded portion of the Venn diagram represent?
a)
Not p
b)
p
c)
p and q
d)
p or q
58.
What does the shaded portion of the Venn diagram represent?
a)
Not p
b)
p or q
c)
p and q
d)
Not q
59.
Element
a)
W
b)
Parrots
60.
Universal Set
a)
A
b)
W
c)
C
d)
M
61.
(3x3 + 5x - 1) ÷ (x + 1)
a)
3x3 - 3x2 + 8x - 9
b)
3x2 - 3x + 8 - 9/x+1
c)
3x2 + 3x + 8 + 7/x+1
d)
3x3 + 3x2 + 8x + 7
62.
2x3 + 7x2 - 6x - 8 ÷ x + 4
a)
2x2 - x - 2
b)
2x3 - x2 - 2x
c)
2x2 + 15x + 54 + 208/x+4
d)
2x3 + 15x2 + 54x + 208
63.
Is (x-3) a factor of
(x3 - 3x2 + 2x + 2)?
(x3 - 3x2 + 2x + 2)?
a)
Yes
b)
No
64.
Which of the following is a factor of f(x) = 2x3-5x2-37x+60 ?
a)
x-5
b)
x-4
c)
2x+3
d)
3x-2
65.
Is (x-2) a factor of f(x)= x3-8x2+14x-4?
a)
Yes, (x-2) is a factor. There is a remainder.
b)
No, (x-2) is not a factor. The remainder is zero.
c)
Yes, (x-2) is a factor. The remainder is zero.
d)
No, (x-2) is not a factor. There is a remainder.
66.
(3x3 - 2x2 - 7x + 6) ÷ (x + 1)
a)
3x3 - 5x2 - 2x + 8
b)
3x2 + x - 6
c)
3x2 - 5x - 2 + 8/x+1
d)
3x3 + x2 - 6x
67.
Use synthetic division
2x3 + 5x2 + 9 ÷
x + 3
2x3 + 5x2 + 9 ÷
x + 3
a)
2x2 - x + 3
b)
2x3 - x2 + 3x
c)
2x2 + 11x + 33 + 108/x+3
d)
2x2 - 5x + 12
68.
Multiply
(x2-2x+1)(x+1)
(x2-2x+1)(x+1)
a)
x3-x2-x+1
b)
x3-2x+2
c)
x3+x2+x+1
d)
x3-3x2-3x+1
69.
Evaluate log41
a)
1
b)
0
c)
4
d)
undefined
70.
Rewrite log28 = 3 in exponential form/
a)
28 = 3
b)
23 = 8
c)
32 = 8
d)
83 = 2
71.
log525 = ?
a)
2
b)
5
c)
125
72.
Rewrite logvn = a in exponential form.
a)
va = n
b)
na = v
c)
vn = a
d)
an = v
73.
Rewrite 34 = 81 in logarithmic form.
a)
log34 = 81
b)
log813 = 4
c)
log381 = 4
d)
log481 = 3
74.
Simplify the exponential expression:
a)
10x-2
b)
2x2
c)
2x12
d)
10x12
75.
Simplify the exponential expression.
a)
2x6y12
b)
2x5y7
c)
8x6y12
d)
8x5y7
76.
Write as one logarithm. Simplify, if possible.
log39 + log327
log39 + log327
a)
-1
b)
5
c)
4
d)
1
77.
Evaluate.
log381
log381
a)
4
b)
1/4
c)
-4
d)
-1/4
78.
Evaluate.
3 log24
3 log24
a)
3
b)
6
c)
2
d)
4
79.
Which equation best describes the graph?
a)
y = 2x + 4
b)
y = 2x - 3
c)
y = 2x - 4
d)
y = 2x + 3
80.
Logarithms and Exponentials are what?
a)
parallel
b)
perpendiular
c)
inverses
d)
congurent
81.
Match the graph with its equation
a)
y = log6(-x) + 1
b)
y = log6(x − 2) + 1
c)
y = log6(x + 2) - 1
d)
y = log(x-8) + 1
82.
Match the graph with its equation
a)
y = log5 (x + 1) + 1
b)
y = log5 (x - 1) + 1
c)
y = log5 (x2) + 1
d)
y = log5 (x)-1
83.
Match the graph with its equation
a)
y = log4 (x)+2
b)
y = log4 (x + 2) + 1
c)
y = log4 (x - 1) + 2
d)
y = log4 (-x + 2)
84.
Condense to a single logarithm.
log (x) + 5⋅log (y)
a)
log (x⋅y5)
b)
5⋅log (x⋅y)
c)
5⋅log (x / y)
d)
log (x / y5)
85.
Solve.
log3(2x+5) = 4
a)
38
b)
-23
c)
29
d)
-14
86.
What is the range of log(x)?
a)
(-2, 4)
b)
(-∞, ∞)
c)
(-∞, 0)
d)
Cucumber
87.
What is the domain of log(x)?
a)
(-∞, ∞)
b)
[0, ∞)
c)
(0, ∞)
d)
Pickle
88.
Using the parent function y=3x what would the graph of y=3x+1 look like?
a)
Horizontal shift left one unit
b)
Horizontal shift right one unit
c)
Vertical shift up one unit
d)
Vertical shift down one unit
89.
What is the horizontal asymptote and what transformations have taken place?
y = 2x+2 + 1
y = 2x+2 + 1
a)
y = 2
right 2, up 1
right 2, up 1
b)
y = 1
left 2, up 1
left 2, up 1
c)
y = 1
right 2, up 1
right 2, up 1
d)
y = 2
right 1, up 2
right 1, up 2
90.
What is the Asymptote?
a)
x=5
b)
x=0
c)
y=0
d)
x=1
91.
What is the value of ln(e7)
a)
2.718...
b)
1
c)
7
d)
Does not exist
92.
Solve the following equation. Round your solution to two decimal places.
4 - 3 ln(2x + 10) = 12
4 - 3 ln(2x + 10) = 12
a)
x = 2.20
b)
x = 1.68
c)
x = -5.00
d)
x = -4.97
93.
Graph log(x-4)+3
a)
b)
c)
d)
94.
Find the 22nd term of the following sequence:
5, 8, 11, ...
5, 8, 11, ...
a)
14
b)
68
c)
63
d)
71
95.
Identify the common difference.
97, 86, 75, 64, ...
97, 86, 75, 64, ...
a)
8
b)
11
c)
-11
d)
-8
96.
Identify the common difference.
3, 7, 11, 15, ...
3, 7, 11, 15, ...
a)
6
b)
5
c)
4
d)
2
97.
Find the 32nd term of this sequence.
9, 4, -1, -6, -11, ...
9, 4, -1, -6, -11, ...
a)
81
b)
-34
c)
-146
d)
-225
98.
The next two terms of the sequence 4,7,10,13 are ....
a)
16 and 19
b)
15 and 19
c)
16 and 18
d)
15 and 18
99.
The next term of the sequence 2,4,8,16 is
a)
64
b)
32
c)
108
d)
20
100.
Determine whether the sequence is arithmetic, geometric, or neither.
a)
arithmetic
b)
geometric
c)
neither
101.
Determine whether the sequence is arithmetic, geometric, or neither.
a)
arithmetic
b)
geometric
c)
neither
102.
Find the common ratio for the geometric sequence.
a)
10
b)
1/2
c)
2
d)
4
103.
Write the explicit formula for the geometric sequence.
a)
an = 10(2)n-1
b)
an = 2(10)n-1
c)
an = 10(2)n
d)
an = 2(10)n
104.
Find the common ratio for the geometric sequence.
a)
1
b)
-1
c)
7
d)
-7
105.
-4x-2y=-12
4x+8y=-24
4x+8y=-24
a)
(5,6)
b)
(6,-6)
c)
(6,-2)
d)
(4,-3)
106.
4x+8y=20
-4x+2y=-30
-4x+2y=-30
a)
(-7,1)
b)
(2,-5)
c)
(-2,5)
d)
(7,-1)
107.
x-y=11
2x+y=19
2x+y=19
a)
(10,-1)
b)
(-1,10)
c)
(3,-4)
d)
(6,7)
108.
What is the solution?
a)
1
b)
-2
c)
(1, 2)
d)
(1, -1)
109.
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
110.
Given f(x) = x+3, find f(-2).
a)
-1
b)
1
c)
5
d)
-5
111.
Given
f(x) = 2x2 + 5x - 17,
find f(-1).
f(x) = 2x2 + 5x - 17,
find f(-1).
a)
f(-1) = -20
b)
f(-1) = -24
112.
Given g(x)= -3x and f(x)=x2+2, find f(g(x)).
a)
f(g(x))= -3x2-6
b)
f(g(x))= -3x2+2
c)
f(g(x))=9x2+2
d)
f(g(x))= -9x2+2
113.
a)
9 - √17
b)
4
c)
2
d)
√8
114.
Given f(x)=2x+25, find f(5).
a)
f(5) = 60
b)
f(5) = 40
c)
f(5) = -15
d)
f(5) = 35
115.
What is the range of the following graph?
a)
-5, -1, 0 , 1, 5
b)
-4, -2, 0, 3, 6
c)
(-4, 1) ( 6, 0)
d)
(6, 0)
116.
a)
-19
b)
-21
c)
17
d)
-1
117.
What is the inverse of the points
(1,3)(2,4)(6,8)
(1,3)(2,4)(6,8)
a)
(3,1)(4,2)(8,6)
b)
(-3,-1)(-4,-2)(-8,-6)
c)
(1,3)(2,4)(6,8)
d)
(-1,-3)(-2,-4)(-6,-8)
118.
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
119.
What does it mean to find the inverse of a function?
a)
the x's and y's are switched
b)
the x's and y's are divided by 2
c)
the x's and y's are made negative
d)
the x's and y's are the same
120.
Find the inverse of
f(x) = -3x + 3
f(x) = -3x + 3
a)
f-1(x) = -3x + 1
b)
f-1(x) = -1/3x + 1
c)
f-1(x) = -1/3x - 1
d)
f-1(x) = 1/3x + 1
121.
Solve the inequality.
x + 5 ≤ 13
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8
d)
x ≤ 18
122.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
11 ≤ a
d)
11 ≥ a
123.
- 2k > 18
a)
k is greater than 20
b)
k is less than negative 9
c)
k is greater than negative 9
d)
k is less than 36
124.
Is (2, 3) part of the solution set?
y < 2x2 -3x+1
y < 2x2 -3x+1
a)
Yes
b)
No
125.
Which inequality is shown?
a)
y<2(x-6)2-5
b)
y<2(x+6)2-5
c)
y>2(x+6)2-5
d)
y>2(x-6)2-5
126.
What is the solution set to the inequality 0<x2-4x-5
a)
x<-1 or x>5
b)
x<-5 or x>1
c)
-1<x<5
d)
-5<x<1
127.
Which is a solution to the following system?
y < 6x2 + 2x - 1
y ≥ -2x2 - x + 3
y < 6x2 + 2x - 1
y ≥ -2x2 - x + 3
a)
(0, 0)
b)
(0, -3)
c)
(1, 5)
d)
(1, -8)
128.
What is the midpoint between (-4,4) and (-2,2)?
a)
(3,2)
b)
(-3,3)
c)
(4,5)
d)
(6,7)
129.
What is the midpoint between (3, -1) and (7, -5)
a)
(5, -2)
b)
(10, -6)
c)
(5, -3)
d)
(2, -2)
130.
Find the midpoint of the segment with the endpoints:(-7, -8) and (4, 7)
a)
(-5.5, -7.5)
b)
(-1.5, -0.5)
c)
(-3, -1)
d)
(0.5, 1.5)
131.
Find the slope
a)
4/5
b)
5/4
c)
-5/4
d)
-4/5
132.
Find the slope
a)
-2/3
b)
3/2
c)
-3/2
d)
2/3
133.
G is the midpoint of HK. If G is located at (-2, 4) and H is located at (3, 5), find the coordinates of K.
a)
Not Enough Information
b)
(0.5, 4.5)
c)
(-7, 3)
d)
(2.5, -0.5)
134.
Add
a)
11 8
-4 2
-4 2
b)
3 2
-6 -6
-6 -6
c)
-3 2
-4 -6
-4 -6
d)
10 8
-6 2
-6 2
135.
Subtract
a)
-5
-8
3
10
-8
3
10
b)
-9
8
3
2
8
3
2
c)
5
-8
3
10
-8
3
10
d)
-5
8
3
2
8
3
2
136.
What are the dimensions of this matrix?
a)
2 x 3
b)
3 x 2
c)
6 x 1
d)
1 x 6
137.
Multiply
a)
25
25
5
25
5
b)
-25
25
-5
25
-5
c)
-10
-10
-6
-10
-6
d)
10
10
6
10
6
138.
Is the graph an even, odd, or neither function
f(x) = 4x3
f(x) = 4x3
a)
Even
b)
Odd
c)
Neither
139.
Is the graph an even, odd, or neither function?
a)
Even
b)
Odd
c)
Neither
140.
Is the graph an even, odd, or neither function
a)
Even
b)
Odd
c)
Neither
141.
Is the graph an even, odd, or neither function?
a)
Even
b)
Odd
c)
Neither
142.
Is the graph an even, odd, or neither function
f(x) = x4 + x2
f(x) = x4 + x2
a)
Even
b)
Odd
c)
Neither
143.
Is the function even, odd, or neither?
f(x)=5
f(x)=5
a)
even
b)
odd
c)
neither
144.
What is csc(x) equivalent to?
a)
1/sin(x)
b)
1/tan(x)
c)
sin(x)
d)
1/cos(x)
145.
Please select the correct solution
a)
csc2 x
b)
cot2 x
c)
sin2 x
d)
sec2 x
146.
Please select the correct solution
cos 2 x + sin 2 x=
cos 2 x + sin 2 x=
a)
1
b)
csc 2 x + sec 2 x
c)
sin 2 x
d)
1 - sin 2 x
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