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WorksheetsPreCal Q3 Review
Total questions: 73
Worksheet time: 5hrs 44mins
Name
Class
Date
1.
What is the length of side x?
a)
6.57 cm
b)
7 cm
c)
7.44 cm
d)
26.33 cm
2.
Find the measure of the missing angle.
a)
64o
b)
26o
c)
61o
d)
8o
3.
Solve the right triangle.
a)
<B = 39o, AB = 11.58, AC = 7.29
b)
<B = 39o, AB = 7.29, AC = 11.58
c)
<B = 129o, AB = 11.58, AC = 7.29
d)
<B = 129o, AB = 7.29, AC = 11.58
4.
If you split a circle into 6 equal parts, how many degrees will each section be?
a)
30/pio
b)
60o
c)
30o
d)
60/pio
5.
Convert 100⁰ to radians
a)
5π/9
b)
π/2
c)
5π/8
d)
5π/6
6.
Find a coterminal angle to 5 degrees.
a)
365
b)
255
c)
-220
d)
-365
7.
What is the period of this equation?
y = -5sin(3x)
y = -5sin(3x)
a)
-5
b)
2pi/3
c)
2pi/5
d)
3
8.
What is the amplitude of the graph?
a)
1
b)
3
c)
6
d)
9
9.
What is the domain of:
a)
All real numbers
b)
x ≠ -5/9
c)
x < -5/9
d)
x > -5/9
10.
What is the domain of :
a)
x > -2
b)
x ≠ -2
c)
x ≠ 2
d)
x > 2
11.
Is f(x) = 3x4 - 6x2 even, odd or neither?
a)
Even
b)
Odd
c)
Neither
12.
What is f(x) when x equals 4?
a)
-5
b)
0
c)
3
d)
6
13.
Name that function
a)
absolute value
b)
reciprocal
c)
square root
d)
exponential
14.
Name that function
a)
cosine
b)
square root
c)
exponential
d)
identity
15.
Find the equation of the parabola described:
Focus at (6, 0);
vertex at (0, 0)
Focus at (6, 0);
vertex at (0, 0)
a)
y2 = 24x
b)
x2 = 24y
c)
y2 = 6x
d)
x2 = 6y
16.
Use the change of base rule to rewrite this problem:
log364
a)
log(64)/log(3)
b)
log(3)/log(64)
17.
cos (π/4)
a)
√3/2
b)
√2/2
c)
1/2
d)
1
18.
Factor Completely:
9cos2x - 12cosx +4
9cos2x - 12cosx +4
a)
(3cosx + 4) ( 3cosx +1)
b)
(3cosx - 2)2
c)
(cosx -2)(cosx - 2)
d)
(9cosx -2) (cosx -2)
19.
Find QR
a)
34.7 km
b)
2.2 km
c)
13.74
d)
31.1 km
20.
Convert 100⁰ to radians
a)
5π/9
b)
π/2
c)
5π/8
d)
5π/6
21.
What is the value of p?
(y - 4)2 = -8(x+1)
(y - 4)2 = -8(x+1)
a)
-8
b)
2
c)
4
d)
-32
22.
Write the equation for a sine function with an amplitude of 6 and a period of π/4.
a)
y=6sin(8x)
b)
y=6sin8(x-1)
c)
y=6sin1/4x
d)
y=6sinx
23.
(10+3i) - (2-9i)
a)
20-27i
b)
12-7i
c)
8+12i
d)
20-27i2
24.
(1-3i)(2+5i)
a)
22-i
b)
16-i
c)
17-i
25.
Write in logarithmic form.
2-4 = 1/16
2-4 = 1/16
a)
log2(1/16) = -4
b)
log-4(1/16) = 2
c)
log -4 2 = 1/16
d)
log2(-4) = 1/16
26.
Write in exponential form.
log2(1/8) = -3
log2(1/8) = -3
a)
2-3 = 1/8
b)
21/8 = -3
c)
-32 = 1/8
d)
-31/8 = 2
27.
x + 3 = (y - 1)2
a)
Parabola Opens Up
b)
Parabola Opens Down
c)
Parabola Opens Right
d)
Parabola Opens Left
28.
What are the vertices of the shifted ellipse?
a)
(1, 5) and (1, -5)
b)
(0, 5) and (0, -5)
c)
(1, 1) and (1, -1)
d)
(0, 1) and (0, -1)
29.
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
30.
What equation is used to find the foci points on an ellipse?
a)
c2 = a2 + b2
b)
c2 = a2 - b2
c)
1/4d
d)
(x-h)2 + (y-k)2 = r2
31.
Given the equation of the ellipse and the C value, write the foci ordered pair
a)
(4 ± 7.42, -2)
b)
(4, - 2 ± 7.42)
c)
(- 4 ± 7.42, 2)
d)
( - 4, 2 ± 7.42)
32.
Which is a correct way to solve the equation
cosx(2cosx − 3) = 0?
a)
divide cos x from both sides
b)
set each factor equal to 0 and solve
c)
distribute cosx into the parentheses
d)
guess and hope for the best
33.
Solve on the domain [0, 2π)
2cos2θ -1 = 0
a)
θ = π /4, 7π /4
b)
θ = π /4, 3π /4
c)
θ = 3π /4, 5π /4
d)
θ = π /4, 3π /4, 5π /4, 7π /4
34.
What is most responsible for the presence of groundwater in an area?
a)
the movement of water from a confined aquifer into surface water
b)
the movement of surface water and precipitation through soil and rock
c)
the movement of water from streams and rivers to watersheds
d)
the movement of surface water through impermeable rock
35.
Which layer of the soil profile would be affected the most by weathering and erosion?
a)
1
b)
2
c)
3
d)
4
36.
imaginary line found at zero degrees latitude
a)
Isthmus
b)
Border
c)
Prime Meridian
d)
Equator
37.
What is this landform?
a)
island
b)
cave
c)
plateau
d)
canyon
38.
Solve using the quadratic formula:
x2 - 7x - 18 = 0
x2 - 7x - 18 = 0
a)
x = 9 & x = -2
b)
x = -9 & x = 2
c)
x = -9 & x = -2
d)
x = 9 & x = 2
39.
What do you do to the b value to correctly complete the square?
a)
square it
b)
divide it by 2 and square the result
c)
divide it by 2 and take the square root of the result
d)
divide it by 2 only
40.
When factoring
x2 - 4x + 4 = 20,
what goes in the blank?
(x - __ )2 = 20
x2 - 4x + 4 = 20,
what goes in the blank?
(x - __ )2 = 20
a)
4
b)
2
c)
8
d)
20
41.
Complete the Square
x2 + 6x = 5
x2 + 6x = 5
a)
(x + 3)2 = 5
b)
(x + 6)2 = 9
c)
(x + 3)2 = 14
d)
(x + 6)2 = 14
42.
What is one of the solutions to this equation?
(2x - 1)2 = 49
(2x - 1)2 = 49
a)
7
b)
-7
c)
-4
d)
-3
43.
What is the value of tan45o?
a)
0
b)
√3/3
c)
√3
d)
1
44.
Find the reference angle for an angle measuring θ = 125⁰
a)
25⁰
b)
35⁰
c)
45⁰
d)
55⁰
45.
What is the phase shift?
y=-2sin(x-π)
y=-2sin(x-π)
a)
π left
b)
π right
c)
none
d)
2π right
46.
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
47.
Simplify
a)
sin²θ
b)
cosθ
c)
tanθ
d)
1- sin²θ
48.
Solve log5(x - 10) = 2
a)
0
b)
25
c)
35
d)
No Solution
49.
Given the functions f(x) = 3x + 10 and g(x) = x2 + 4x, what is the value of f(g(-3))?
a)
-53
b)
5
c)
1
d)
-3
50.
Find the inverse of f(x) = x3 - 10.
a)
b)
c)
d)
51.
Lucy invested $6,000 into an account that earns 6% interest compounded continuously. Approximately how long will it take for Lucy's investment to be valued at $25,000?
a)
52.7 years
b)
46.9 years
c)
24.5 years
d)
23.8 years
52.
Which is a pair of alternate exterior angles?
a)
3 and 6
b)
1 and 7
c)
1 and 5
d)
1 and 8
53.
If Angle 3 = 87º, what is Angle 6?
a)
87º
b)
93º
c)
3º
d)
273º
54.
Find the missing angle.
a)
125º
b)
55º
c)
35º
d)
105º
55.
Solve the proportion:
a)
8
b)
6
c)
7
d)
9
56.
Find the slope of the line that passes through (10, -8) and (1, 12).
a)
20/9
b)
-20/9
c)
4/9
d)
9/4
57.
Simplify:
a)
A.
b)
B.
c)
C.
d)
D.
58.
Which values of x make the expression undefined?
a)
5, 2
b)
-5, -2
c)
10, 1
d)
-10, -1
59.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)
60.
Evaluate f(t)=-2t2+ 1 for f(-3)
a)
19
b)
37
c)
-17
d)
-11
61.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
62.
Is this is a function or not a function?
a)
Function
b)
Not a Function
63.
What is f when x equals 0?
a)
-5
b)
0
c)
1/2
d)
1
64.
What type of function is shown?
a)
cube root
b)
square root
c)
logarithm
d)
exponential
65.
Which parent function matches the graph?
a)
y = |x|
b)
y = x
c)
y = x2
d)
y = 2x
66.
What type of function is shown?
a)
quadratic
b)
cube root
c)
absolute value
d)
square root
67.
If the blue function is f(x)=x2, then the red function must be
a)
g(x)=x2-5
b)
g(x)=x2+5
c)
g(x)=(x-5)2
d)
g(x)=(x+5)2
68.
Match the equation to its description.
a)
Right 2 and up 2
b)
Left 2 and up 2
c)
Right 2 and down 2
d)
Left 2 and down 2
69.
Write in logarithmic form.
52 = 25
52 = 25
a)
log52 = 25
b)
log225 = 5
c)
log255 = 2
d)
log525 = 2
70.
Factor:
x2 - 9
x2 - 9
a)
(x + 3)(x - 3)
b)
(x + 3)2
c)
(x - 3)2
d)
(x+3)(x+3)
71.
We can use SOH-CAH-TOA for...
a)
Any triangle ever
b)
Non-right triangles only
c)
Right Triangles only
d)
No triangle ever
72.
Find the standard form of the equation of the ellipse with the following characteristics. Focii at (±4, 0) and major axis of length 14.
a)
x2/49 +y2/33 = 1
b)
x2/49 +y2/20 = 1
c)
x2/16 +y2/49 = 1
73.
Given u = <-3, -5> and v = <4, -7> Find 5u-v
a)
<-11, -32>
b)
<-19, -18>
c)
<-19, -32>
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