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WorksheetsMath 3 Practice Exam
Total questions: 50
Worksheet time: 3hrs 30mins
Name
Class
Date
1.
What is the domain of the function?
a)
(-∞,∞)
b)
(-3.333, -2)
c)
(-∞, -2)
d)
(-3.333, ∞)
2.
State the interval(s) of increase.
a)
(-∞,∞)
b)
(-1.732, 1.732)
c)
(-∞, -3) ⋃ (3,∞)
d)
(0, 3)
3.
State the end behavior.
a)
as x →∞, f(x) →∞
as x →-∞, f(x) →∞
as x →-∞, f(x) →∞
b)
as x →∞, f(x) →-∞
as x →-∞, f(x) →-∞
as x →-∞, f(x) →-∞
c)
as x →∞, f(x) →-∞
as x →-∞, f(x) →∞
as x →-∞, f(x) →∞
d)
as x →∞, f(x) →∞
as x →-∞, f(x) →-∞
as x →-∞, f(x) →-∞
4.
Are these functions inverses of each other?
a)
Yes
b)
No
5.
Are the following inverses of each other?
a)
True
b)
False
6.
What is the inverse of the points (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)
7.
What is g(4) if:
a)
-17
b)
-13
c)
13
d)
-5
8.
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
9.
Evaluate.
log381
log381
a)
4
b)
1/4
c)
-4
d)
-1/4
10.
Write in logarithmic form.
52 = 25
52 = 25
a)
log52 = 25
b)
log225 = 5
c)
log255 = 2
d)
log525 = 2
11.
Condense into a single logarithm.
a)
A
b)
B
c)
C
d)
D
12.
Solve the equation.
a)
A
b)
B
c)
C
d)
D
13.
53-2n = 125
a)
0
b)
5
c)
1
d)
5/3
14.
Solve for x:
4x- 5 = 12
4x- 5 = 12
a)
0.489
b)
2.552
c)
0.893
d)
2.044
15.
2x3 + 5x2 + 9 ÷ x + 3
a)
2x2 - x + 3
b)
2x3 - x2 + 3x
c)
2x2 + 11x + 33 + 108/x+3
d)
2x2 - 5x + 12
16.
Which of the following is a COMPLETE list of all possible Rational Zeros?
f(x) = 2x3 + 5x2 - 9x + 5
f(x) = 2x3 + 5x2 - 9x + 5
a)
±1, 5, 1/2, 5/2
b)
±1, 2, 5, 1/2, 5/2
c)
±1, 5
d)
±1, 2, 5, 1/2, 5/2, 2/5
17.
Is (x-3) a factor of
(x3 - 3x2 + 2x + 2)?
(x3 - 3x2 + 2x + 2)?
a)
Yes
b)
No
18.
Factor: 8x3 - 1
a)
(2x - 1)(4x2 + 2x + 1)
b)
(2x + 1)(4x2 - 2x + 1)
c)
(2x - 1)(4x2 - 2x - 1)
d)
(2x + 1)(4x2 +2x + 1)
19.
a)
a
b)
b
c)
c
d)
d
20.
a)
A
b)
B
c)
C
d)
D
21.
a)
A
b)
B
c)
C
d)
D
22.
Solve for v
a)
- 7/6
b)
- 9/5
c)
9/5
d)
-3
23.
Catherine can paint a house in 15 hours. Dan can paint a house in 30 hours. How long will it take them working together.
a)
20 hours
b)
10 hours
c)
22 hours
d)
17 hours
24.
Determine if the quadrilateral must be a parallelogram. Justify your answer.
a)
Yes. Diagonals bisect each other.
b)
Yes. Opposite sides are parallel.
c)
Yes. One angle is supplementary to both consecutive angles.
d)
Not a quadrilateral. No theorems apply.
25.
Determine if the quadrilateral must be a parallelogram. Justify your answer.
a)
Yes. Diagonals bisect each other.
b)
Yes. Opposite sides are parallel.
c)
Yes. One angle is supplementary to both consecutive angles.
d)
Not a parallelogram. No theorems apply.
26.
Define: INCENTER OF A TRIANGLE
a)
the intersection point of the three angle bisectors of a triangle
b)
when three or more lines intersect at a single point
c)
the intersection point of the three perpendicular bisectors of a triangle
d)
the point of intersection of three or more lines
27.
Name the point of concurrency of the medians.
a)
Centroid
b)
Incenter
c)
Circumcenter
d)
Orthocenter
28.
Describe the cross section.
a)
circle
b)
oval
c)
semi-circle
d)
trapezoid
29.
What is the equation of a circle whose diameter is 24 and whose center is at the origin?
a)
x2+y2=125
b)
x2+y2=64
c)
x2+y2=144
d)
x2+y2=576
30.
Find the measure of arc AB.
a)
17
b)
34
c)
68
d)
146
31.
What can you conclude?
a)
AB and AC are not congruent.
b)
AB= half of AC
c)
AC = half of AB
d)
AB=AC
32.
Solve for x.
a)
6
b)
8
c)
10
d)
12
33.
a)
7
b)
8
c)
10/3
d)
2
34.
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
35.
What is the equation of graph?
a)
y = sin 5x
b)
y = cos 5x
c)
y = 5 sin x
d)
y = 5 cos x
36.
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
37.
cos(π/6)
a)
√3/2
b)
1/2
c)
1/√3
d)
√3/3
38.
225°
a)
π/4
b)
4π/3
c)
3π/4
d)
5π/4
39.
An orange grower wishes to compute the average yield from his orchard. The orchard contatins 3 varieties: 50% of his trees are variety A, 25% of variety B, 25% of variety C. Suppose that the grower samples randomly from 300 trees of variety A, 150 of B, and 150 of C. What type of sampling is being used?
a)
Stratified Samplilng
b)
Convenience Sampling
c)
Simple Random Sampling
d)
Fruit sampling
40.
Is diet or exercise effective in combating insomnia? Some believe that cutting out desserts can help alleviate the problem, while others recommend exercise. Forty volunteers suffering from insomnia agreed to participate in a month-long experiment. Half were randomly assigned to a special no-desserts diet; the others continued desserts as usual. Half of the people in each of these groups were randomly assigned to an exercise program, while the others did not exercise. Those who ate no desserts and engaged in exercise showed the most improvement.
a)
Observational Study
b)
Experiment
41.
A sports-and-exercise shop sampled its customer base one weekend and asked 35 customers their age. Which interval estimate of the population mean has a margin of error of 1.7 ?
a)
26.0 ≤ x̄ ≤ 30.0
b)
26.8 ≤ x̄ ≤ 30.2
c)
33.3 ≤ x̄ ≤ 37.6
d)
24.0 ≤ x̄ ≤ 46.0
42.
Where is there a hole on the graph of y = (x2-4) / (x+2)?
a)
x = 2
b)
x = -2
c)
There are no holes.
d)
x = 4
43.
What is the horizontal asymptote to this function?
a)
x=4
b)
y=0
c)
none
d)
y=4
44.
a)
y = 0
b)
y = 1/2
c)
y = 2
d)
None
45.
Simplify the given complex fraction.
a)
(1-x)/(x+3)
b)
(3-x)/(x+1)
c)
1/(x+3)
d)
3-x
46.
What is the remainder when a3 - 4 is divided by a+2?
a)
-2
b)
-6
c)
-12
d)
0
47.
Which of the following is a factor of
f(x) = x3-3x2-6x+8 ?
f(x) = x3-3x2-6x+8 ?
a)
x-4
b)
x+1
c)
x-2
d)
x+3
48.
f(x) = x4 - 5x3-8x +40; one zero is 5. Find all zeros.
a)
2, 5, -1±i√3
b)
-2, 5, -1±i√3
c)
2,5, 1±i√3
d)
2,5, -1±3i
49.
Segment AB is tangent to circle O. What is the length of the radius?
a)
4
b)
8.9
c)
5
d)
10
50.
Find x
a)
10
b)
5
c)
18
d)
9
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