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H PreCalc Review Ch 1, 3, 4, 5

Total questions: 20

Worksheet time: 2hrs 56mins

Name
Class
Date
1.

What is the domain interval for the green piece of this function?

a)

-2 < x ≤ 1

b)

-1 < x ≤ 0.5

c)

x > -2

d)

x ≤ 1

2.

Which graph matches:

-x+4 if x < 2

2x-6 if x ≥ 2

a)

A

b)

B

c)

C

d)

D

3.
What is m(-3) if:    
a)
-3
b)
0.5
c)
3
d)
-3.5
4.
Solve the system of equations by elimination.
-x + y = -13
-8x - 4y = -8 
a)
(5, 8)
b)
(5, -8)
c)
(-5, -18)
d)
(-5, 8)
5.
Solve the system of equations: 
a)
( -2, 3, -3)
b)
None of these
c)
( -2, -3, 3)
d)
( -3, 3, -2)
6.
Find the inverse 
f(x)=2x-2
     
a)
f-1(x)=1/2x+1
b)
f-1(x)=-2-1/2x
c)
f-1(x)=-7/3x-20/3
d)
2-2/5x
7.
Given that f(x) = 3x + 5 and g(x) = 1/3x + 5, find f(g(x)).  Are the two functions inverses of each other?
a)
x + 20 ; Yes they are inverses
b)
x + 20 ; No, they are not inverses
c)
x ; Yes they are inverses
d)
x ; No, they are not inverses
8.
Solve for x. 
You will need to use 45-45-90 and 30-60-90 triangles.
a)
10√3
b)
15
c)
5√3
d)
15√2
9.
What is the cosine of angle P?
a)
p/q
b)
q/r
c)
p/r
d)
r/q
10.
Solve for x. Round to the nearest tenth.
a)
15.3
b)
16.6
c)
24.1
d)
24.3
11.
Find the measure of the missing angle.
a)
64o
b)
26o
c)
61o
d)
8o
12.
What is the length of side x?
a)
6.57 cm
b)
7 cm
c)
7.44 cm
d)
26.33 cm
13.

Triangle ABC has vertices A(4,1) B(4,-2) C(-2,-2). Find the measure of angle A

a)

63o

b)

27o

c)

54o

d)

36o

14.
Use the Law of Sines to solve for BC
a)
33
b)
24
c)
12
d)
29
15.
What is the measure of angle A?
a)
58 degrees
b)
61 degrees
c)
78 degrees
d)
74 degrees
16.
What is cos-1(0)?
a)
-180
b)
90
c)
0
d)
-90
17.

Find angle Z

a)

20.15°

b)

71.23°

c)

51.06°

d)

57.71°

18.
Find XZ
a)
16.004 meters
b)
544.165 meters
c)
34.7 meters
d)
1204.165 meters
19.
Find QR
a)
34.7 km
b)
2.2 km
c)
13.74
d)
31.1 km
20.
Find BC
a)
A
b)
B
c)
C
d)
D