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Worksheetsprecalculus pretest
Total questions: 99
Worksheet time: 9hrs 51mins
Name
Class
Date
1.
A full rotation of a circle can be measured in how many radians?
a)
180
b)
360
c)
π
d)
2π
2.
A full rotation of a circle can be measured in how many degrees?
a)
180
b)
360
c)
π
d)
2π
3.
Find a coterminal angle to -27 degrees.
a)
-387
b)
27
c)
323
d)
-393
4.
Find a coterminal angle to 112 degrees.
a)
-478
b)
-128
c)
248
d)
-248
5.
Convert from degrees to radians: 135°
a)
2π ∕ 3
b)
3π ∕ 4
c)
5π ∕ 4
d)
3π ∕ 5
6.
Convert from radians to degrees: 7π ∕ 4
a)
330°
b)
45°
c)
315°
d)
75°
7.
Find the reference angle for an angle measuring θ = 125⁰
a)
25⁰
b)
35⁰
c)
45⁰
d)
55⁰
8.
Find the reference angle for an angle measuring θ = -310⁰
a)
50⁰
b)
-50⁰
c)
20⁰
d)
40⁰
9.
Set up the problem...
a)
sin X = 41/28
b)
tan X = 41/28
c)
cos X = 28/41
d)
sin X = 28/41
10.
Solve for x. Round to the nearest tenth.
a)
10.4
b)
8.9
c)
31.2
d)
10.5
11.
The unit circle...
a)
Has center at (1,1)
b)
Has a circumference of 1
c)
Has a diameter of 1
d)
Has a radius of 1
12.
Based on your unit circle cos(30o)=
a)
1
b)
1/2
c)
sqt3/2
d)
sqt2/2
13.
Based on your unit circle sin(0o)=
a)
1
b)
-1
c)
0
d)
1/2
14.
Find the value of the trig function indicated.
a)
A
b)
B
c)
C
d)
D
15.
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
16.
What is the amplitude of the graph?
a)
1
b)
3
c)
6
d)
9
17.
What is the period of y=4cos5x
a)
2π/5
b)
π
c)
5
d)
5π
18.
What is the phase shift?
y=-2sin(x-π)
y=-2sin(x-π)
a)
π left
b)
π right
c)
none
d)
2π right
19.
What is the vertical shift?
a)
Down 1
b)
Down 7
c)
Down 4
d)
Down 6
20.
Who is this?
a)
Homer Simpson
b)
Bobby Simpson
c)
Bart Simpson
d)
Marge Simpson
21.
Please select the correct solution
a)
csc2 x
b)
cot2 x
c)
sin2 x
d)
sec2 x
22.
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
23.
Please select the correct solution
a)
csc x
b)
sec x
c)
cot x
d)
tan x
24.
Simplify
a)
sin²θ
b)
cosθ
c)
tanθ
d)
1- sin²θ
25.
Simplify
a)
secθ
b)
cos²θ
c)
sin²θ
d)
sin²θ/cos²θ
26.
sin(A+B)
a)
cosAcosB - sinAsinB
b)
cosAcosB + sinAsinB
c)
sinAcosB + cosAsinB
d)
sinAcosB - cosAsinB
27.
Simplify.
a)
sin x
b)
cos x
c)
tan x
d)
1
28.
Simplify.
a)
sinθ
b)
cos²θ
c)
sin²θ
d)
1- sin²θ
29.
Use a double-angle or half-angle identity to find the exact value of each expression
cos θ = 4/5 and 270° < θ < 360°Find sin 2θ
cos θ = 4/5 and 270° < θ < 360°Find sin 2θ
a)
-1/5
b)
24/25
c)
-24/25
d)
-25/24
30.
Use a half-angle identity to find the exact value of each expression
cos(105)
cos(105)
a)
1
b)
√2- √6 / 4
c)
√2 + √6 / 4
d)
-1
31.
Use Sum or Difference Identities to find the exact value of each expression.
cos(75°)
cos(75°)
a)
1/4
b)
√6 - √2 / 4
c)
√6 + √2 / 4
d)
-√6 - √2 / 4
32.
Find the solution over the interval [0, 2π)
a)
π/3; 5π/3
b)
π/3
c)
5π/3
d)
π/3+2πn; 5π/3+2πn
33.
a)
No solution
b)
π/3 +2πn, 5π/3 +2πn
c)
π/6 +2πn, 11π/6 +2πn
d)
2π/3 +2πn, 4π/3 +2πn
34.
Solve on the Interval [0,2π)
tan(x)+1=2
tan(x)+1=2
a)
0 and π
b)
3π/4 and 7π/4
c)
π/4 and 5π/4
d)
3π/4 and 5π/4
35.
What is the equation of the graph shown?
a)
y=1/2cos2x
b)
y=1/2sin4x
c)
y=1/2cos4x
d)
y=4cos1/2x
36.
Find one positive and one negative coterminal angle of -225°.
a)
375°, -600°
b)
125°, -356°
c)
135°, -585°
d)
60°, -120°
37.
Convert 200° to radians.
a)
3π/4
b)
8π/45
c)
7π/8
d)
10π/9
38.
Convert the radian measure 3π/4 to degrees.
a)
147.3°
b)
135°
c)
125°
d)
173.8°
39.
State the coterminal angle between 0 and 2π for 8π/3.
a)
5π/7
b)
3π/2
c)
2π/3
d)
π/6
40.
Find one positive and one negative coterminal angle of 240°.
a)
540°, -120°
b)
600°, -120°
c)
425°, -240°
d)
120°, -135°
41.
State the coterminal angle between 0 and 2π for -25π/12.
a)
-45π/12, -π/12
b)
-35π/7, -3π/4
c)
-49π/12, -π/12
d)
12π/7, 7π/11
42.
What is the reference angle of -2π/3 in radians?
a)
π/3
b)
4π/5
c)
7π/11
d)
π/2
43.
What is the reference angle of 5π/6 in radians?
a)
π/3
b)
7π/6
c)
π/6
d)
2π/3
44.
sin(0°)
a)
0
b)
1/2
c)
√3/2
d)
1
45.
cos(60°)
a)
0
b)
1/2
c)
√3/2
d)
1
46.
tan(225°)
a)
-1
b)
√2
c)
2√3/3
d)
1
47.
sin(π/6)
a)
1/2
b)
√2/2
c)
√3/2
d)
2
48.
cos(5π/6)
a)
1/2
b)
-√3/2
c)
√3/2
d)
-1/2
49.
sin(7π/4)
a)
1/2
b)
-√2/2
c)
√2/2
d)
-1/2
50.
cos(π)
a)
0
b)
1
c)
-1
d)
1/2
51.
sin(120°)
a)
0
b)
1/2
c)
√3/2
d)
1
52.
sin(5π/3)
a)
1/2
b)
-√3/2
c)
√3/2
d)
-1/2
53.
sin(3π/2)
a)
0
b)
1
c)
-1
d)
1/2
54.
1
a)
A
b)
B
c)
C
d)
D
55.
2
a)
A
b)
B
c)
C
d)
D
56.
3
a)
A
b)
B
c)
C
d)
D
57.
Find the length of side c.
a)
50.3
b)
44.4
c)
22.2
d)
6.7
58.
Find the measure of angle R.
a)
2o
b)
67o
c)
74o
d)
92o
59.
Is the point on the unit circle?
a)
Yes
b)
No
c)
Need More Information
60.
Is the point on the unit circle?
a)
Yes
b)
No
c)
Need More Information
61.
The point (√5/4, y) is on the unit circle in quadrant IV. Find the y-coordinate.
a)
√11/4
b)
-√11/4
c)
11/4
d)
-11/4
62.
The point (√35/6, y) is on the unit circle in quadrant I. Find the y-coordinate.
a)
-1/6
b)
√29/6
c)
-√29/6
d)
1/6
63.
Find sinθ, cosθ, and tanθ.
a)
sinθ=15/17, cosθ=17/15, and tanθ=15/8.
b)
sinθ=8/17, cosθ=15/17, and tanθ=8/15.
c)
sinθ=2/17, cosθ=17/15, and tanθ=2/15.
d)
sinθ=17/8, cosθ=17/15, and tanθ=15/8.
64.
Find cscθ, secθ, and cotθ.
a)
cscθ=15/17, secθ=17/15, and cotθ=15/8.
b)
cscθ=8/17, secθ=15/17, and cotθ=8/15.
c)
cscθ=2/17, secθ=17/15, and cotθ=2/15.
d)
cscθ=17/8, secθ=17/15, and cotθ=15/8.
65.
Find the arc length of the highlighted section.
a)
61.261 ft
b)
3510 ft
c)
398.197 ft
d)
22815 ft
66.
Find the area of the highlighted circular sector.
a)
61.261 ft²
b)
3510 ft²
c)
398.197 ft²
d)
22815 ft²
67.
Given f(x) = -4x - 10 and f(x) = 10. Find x
a)
x = -5
b)
x = 5
c)
x = -50
d)
x = 30
68.
Name the parent function.
a)
Absolute Value
b)
Quadratic
c)
Square Root
d)
Linear
69.
If the original graph is f(x) and the new graph has been moved 3 to the right, how would one write that in function notation?
a)
f(x - 3)
b)
f(x + 3)
c)
f(x) + 3
d)
f(x) - 3
70.
The blue is f(x)=|x|, red must be ____?
a)
g(x) =|x+2|
b)
g(x) =|x|+2
c)
g(x) =|x-2|
d)
g(x) =|x|-2
71.
a)
horizontal shift to the left 2 and vertical stretch by a factor of 3
b)
horizontal shift to the right 2 and vertical stretch by a factor of 3
c)
horizontal shift to the right 2 and vertical compression by a factor of 3
d)
horizontal shift to the left 2 and vertical compression by a factor of 3
72.
Which of the following is the correct equation for the given graph?
a)
f(x) = (x - 2)2 - 1
b)
f(x) = (x + 2)2 - 1
c)
f(x) = -(x + 2)2 - 1
d)
f(x) = -(x - 2)2 - 1
73.
Is the graph an even, odd, or neither function
f(x) = x2 + 2
f(x) = x2 + 2
a)
Even
b)
Odd
c)
Neither
74.
Which of the following is odd?
f(x) = -3x⁵ +2x
g(x) = 2x³ -7x
h(x) = 5x⁴ - 2
f(x) = -3x⁵ +2x
g(x) = 2x³ -7x
h(x) = 5x⁴ - 2
a)
f(x) + g(x)
b)
f(x) + h(x)
c)
g(x) + h(x)
d)
f(x) + g(x) + h(x)
75.
p(x) = 3x + 4
q(x) = 2x2
Find p(p(-3))
q(x) = 2x2
Find p(p(-3))
a)
-9
b)
7
c)
-11
d)
None of these
76.
g(x)=3x+4
h(x)=3x-1
Find g(h(x))
h(x)=3x-1
Find g(h(x))
a)
-9x+11
b)
4x2+4x
c)
9x+1
d)
9x+11
77.
Find the inverse of f(x) = x2 - 5
a)
f-1(x) = √(x) + 5
b)
f-1(x) = ∛(x-5)
c)
f-1(x) = ±√(x+5)
d)
f-1(x) = x2 - 5
78.
Which expression represents g(f(x)) if f(x) = 2x - 8
and
g(x) = 4x
and
g(x) = 4x
a)
8x - 32
b)
8x2 - 32x
c)
8x - 8
d)
6x - 8
79.
An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. Its height is represented by the equation
s(t) = –16t2 + 64t + 80.
What will be the object's maximum height?
s(t) = –16t2 + 64t + 80.
What will be the object's maximum height?
a)
2 ft
b)
80 ft
c)
144 ft
d)
64 ft
80.
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
81.
The length of a rectangle is 3 inches more than its width. The area of the rectangle is 70 square inches. Find the length of the rectangle.
a)
5 inches
b)
7 inches
c)
10 inches
d)
14 inches
82.
Alain throws a stone off a bridge into a river below. The stone's height (in meters above the water), x seconds after Alain threw it, is modeled by:
h(x)= -5x2 + 10x + 15
How many seconds after being thrown will the stone hit the water?
h(x)= -5x2 + 10x + 15
How many seconds after being thrown will the stone hit the water?
a)
-1 seconds
b)
1 second
c)
2 seconds
d)
3 seconds
83.
(2x3 - 5x2 + 3x + 7) ÷ (x - 2)
a)
2x3 - x2 + x + 9
b)
2x2 - x + 1
c)
2x2 - x + 1 + 9/x-2
d)
2x2 - 9x - 15 - 23/x-2
84.
Find all the factors of x3 -3x2 -4x +12 given that -2 is a zero.
a)
(x-2) (x+2) (x+3)
b)
(x-2) (x-2) (x+3)
c)
(x+2) (x+2) (x+3)
d)
(x-2) (x+2) (x-3)
85.
Find all the real zeros of the function
f(x) = 2x3 - 19x2 + 38x + 24 given that x-4 is a factor.
f(x) = 2x3 - 19x2 + 38x + 24 given that x-4 is a factor.
a)
x = 1/2, -6
b)
x = -1/2, 6
c)
x = 4, -1/2, 6
d)
x = -4, 1/2, -6
86.
How many zeros should the polynomial function
P(x) = 3x4+4x-8 have?
P(x) = 3x4+4x-8 have?
a)
1
b)
2
c)
3
d)
4
87.
What are the roots of the polynomial function?
y = (x + 2)(x - 7)3
y = (x + 2)(x - 7)3
a)
-2, 7 multiplicity 3
b)
-2, 7, 3
c)
2, -7 multiplicity 3
d)
2, -7, 3
88.
Which root has even multiplicity?
a)
1
b)
-4
c)
-1
d)
2
89.
Given x=5, x =-9, and x= -1...
which of the following is the correct factored form?
which of the following is the correct factored form?
a)
(x-5)(x+9)(x+1)
b)
(x-5)(x-9)(x+1)
c)
(x-5)(x+9)(x-1)
d)
(x+5)(x-9)(x-1)
90.
What is the maximum number of turning points for the function
f(x) = 8x3-27
f(x) = 8x3-27
a)
0
b)
1
c)
2
d)
3
91.
Based on the end behavior of the polynomial, what is the degree of the polynomial?
a)
a negative real number
b)
a positive real number
c)
an odd real number
d)
an even real number
92.
List all of the possible rational zeros
p(x) = 3x2+x+7
p(x) = 3x2+x+7
a)
-1/3, -7/3, -1, -7, 1/3,7/3,1,7
b)
1/3,7/3,1,7
c)
1, 7, 14, 21
93.
Find the vertical asymptote.
x2- 9x+20
___________
4x2 - 12x- 40
x2- 9x+20
___________
4x2 - 12x- 40
a)
y=4
b)
x=3/2
c)
x= 4
d)
x=-2
94.
Find the horizontal asymptote.
4x-16
_________
x2-16
4x-16
_________
x2-16
a)
y=2
b)
y=1
c)
y=0
d)
none
95.
Find both asymptotes.
x+2
______
2x-6
x+2
______
2x-6
a)
x=-3 and y=1/2
b)
x=1/2 and y=3
c)
x=3 and y =-1/2
d)
x=3 and y=1/2
96.
Which statement about the graph is true
a)
Horizontal Asymptote at y=0
b)
No Horizontal Asymptote, Slant Asymptote instead
c)
No Horizontal Asymptote, Oblique Asymptote instead
d)
Horizontal Asymptote at y=1
97.
The linear regression equation is y = 61.93x - 1.79. Use the equation to predict how far this person will travel after 10 hours of driving.
a)
10 miles
b)
617.5 miles
c)
0.19 miles
d)
500 miles
98.
Find the best fitting quadratic model for the data given.
a)
1.2x2 + 13x + 504.3
b)
12x2 + 13x + 504.3
c)
.12x2 + 1.3x + 504.3
99.
Did you use photomath or any app to solve any of these questions?
a)
yes
b)
no
c)
yes for some
d)
not at all
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