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WorksheetsUnit 5 test review
Total questions: 38
Worksheet time: 2hrs 30mins
Name
Class
Date
1.
Convert to degrees: 22π/3
a)
223°
b)
660°
c)
840°
d)
1320°
2.
Convert -520o into Radians
a)
-17π / 4
b)
-21π / 6
c)
-26π / 9
d)
-23π / 6
3.
Convert 35π / 18 radians into degrees
a)
350o
b)
340o
c)
355o
d)
3450
4.
a)
A
b)
B
c)
C
d)
D
5.
a)
A
b)
B
c)
C
d)
D
6.
Find a coterminal angle to 20 degrees.
a)
740
b)
690
c)
760
d)
320
7.
Find a coterminal angle to -27 degrees.
a)
-387
b)
27
c)
323
d)
-393
8.
cos (π/2)
a)
0
b)
√2/2
c)
1/2
d)
1
9.
Calculate the value of...
a)
A
b)
B
c)
C
d)
D
10.
Given the
cos(x) = -2/3, then the sec(x) = ?
cos(x) = -2/3, then the sec(x) = ?
a)
-3/2
b)
-2/3
c)
2/3
d)
3/2
11.
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
12.
Please select the correct solution
a)
csc2 x
b)
cot2 x
c)
sin2 x
d)
sec2 x
13.
Simplify
a)
sin²θ
b)
cosθ
c)
tanθ
d)
1- sin²θ
14.
Simplify
a)
-1
b)
sin θ
c)
csc θ
d)
1
15.
Simplify
a)
sinθ
b)
cot²θ
c)
tan²θ
d)
cos²θ
16.
Simplify: tanxcotx-cos2x
a)
tanx
b)
cotx
c)
sin2x
d)
cos2x
17.
a)
csc x
b)
sec x
c)
1/sec x
d)
cos x
18.
a)
cos²x
b)
sin²x
c)
cot²x
d)
tan²x
19.
When verifying you must first ...
a)
pick a side to simplify
b)
find a trig. identity
c)
Change to sine and cosine
d)
Change Values
20.
Simplify:
a)
∛121
b)
121
c)
√11
d)
1331
21.
Simplify:
a)
(∛4) / 3
b)
2 / 3
c)
3 / (∛4)
d)
3/2
22.
Simplify
a)
2x2yz2 ⁵√(xy3)
b)
2x2yz4 ⁵√(xy3)
c)
2xyz ⁵√(xy3z)
d)
2x2yz4 ⁵√(xy3z)
23.
a)
a6 / b12
b)
b12/ a4
c)
a12 / b6
d)
1 / a6b10
24.
Simplifying using laws of logarithms
a)
log(15)
b)
log(72)
c)
log(56)
d)
log(39)
25.
Expand
a)
6log8v-2log8u
b)
6log8u-2log8v
c)
3log8u-2log8v
d)
6log8u+2log8v
26.
Find the value of y. logy (16) = 2
a)
y=1
b)
y=2
c)
y=3
d)
y=4
27.
Simplify. You should only have positive exponents.
a)
-3
b)
-2
c)
2
d)
0
28.
What is the length of x in this 45-45-90 triangle?
a)
4√2
b)
4
c)
8
d)
4√3
29.
Which side is the short leg of this 30-60-90 triangle?
a)
6
b)
m
c)
n
30.
Which side is the long leg in this 30-60-90 triangle?
a)
4
b)
u
c)
v
31.
A piecewise function (f(x)) is shown in the graph. What is f when x equals -4?
a)
-4
b)
-2
c)
0
d)
Does not exist
32.
When x is less than or equal to 2, what equation is shown in the graph?
a)
f(x) = 3
b)
f(x) = x
c)
f(x) = abs(x)
d)
f(x) = abs(x-1)
33.
What is f(-1)?
a)
6
b)
-2
c)
sqrt(2)
d)
DNE
34.
Using the pictured graph, what is f(-3)?
a)
-3
b)
-1
c)
1
d)
3
35.
7x+4y =12
x + 2y = -4
x + 2y = -4
a)
(-4,4)
b)
(4,4)
c)
(4,-4)
d)
(-4,-4)
36.
x + y = 3
3x - y = 1
3x - y = 1
a)
(2,1)
b)
(-1,2)
c)
(1,2)
d)
(-2,-1)
37.
Solve for x and y
y = 2x + 1
y = 4x - 1
y = 2x + 1
y = 4x - 1
a)
(1,3)
b)
(-1,-3)
c)
(-1,3)
d)
(3,1)
38.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(2, 0)
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