Practice Final Exam
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Vincennes University *
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103
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Mathematics
Date
Jan 9, 2024
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MATH 103 Practice Final Exam
Name ___________________________________
1)
Determine whether x = -3 is a solution to the equation:
3x
2
+ 5 - 1 = 4
2)
Solve ⅜ (x + 16) + 2x - 8 = 17
3)
Use the formula w = s
2
t
3
to find w if s = 5 and t = 2.
4)
If y varies inversely as the square on x, determine y when x = 8 and k =128.
5)
The graph below shows the cost at various times for running a pump.
a)
Give the equation for the line
b)
Use the linear equation from part a to find the cost at 18 hours.
6)
Solve the system of equations.
x + y = 4
2x - 3y = 18
7)
Which area on the graph is the correct answer for the system:
y ≤ x - 2 and y > -3x + 5
8)
Change ¾ into a percent.
9)
What is 12.5% of 780?
10) 245 members is what percent of 850 members?
11) A dinner check cost 75.00 before tax.
a)
If the tax rate is 7.5%, what is the tax on the bill?
b)
If a tip is left that is 20% of the pre-tax bill, how much is the tip?
c)
What is the total cost of the dinner including the tax and tip?
12) Find the
simple
interest for $13,275.00 at 2.5% for 150 days.
Round to the nearest cent.
13) Mark borrowed $21.350.00 at an interest rate of 6.25%. The
simple
interest loan was repaid
in 4 years.
Find the amount that must be repaid at the end of the 4 years.
Round to the
nearest cent.
14) If $9500 is invested in an account with a rate of 5% that is
compounded
semiannually, find
the amount in the account after 4 years.
Round to the nearest cent.
15) If you need $10,000 in 3 years, what present value would need to be invested in an account
that earns a rate of 10%
compounded
quarterly?
Round to the nearest cent.
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16) Determine the monthly principal and interest if you borrow $100,000 for a mortgage at 3%
for 15 years using the table below.
17) What is the probability that the spinner shown below will land on a red area?
18) What are the odds against the spinner shown below landing on a purple area?
19) In a proposed business venture, there is a 80% change of making $95,000 and a 15% chance
of losing $15,000.
What is the expected value for the business venture?
20) Five hundred raffle tickets are sold for $10 each.
One prize of $700 is to be awarded.
Ron
purchases one ticket.
What is Ron’s expected value?
What is the fair price of the ticket?
21) Two coins are tossed.
Construct a tree diagram that list the sample space and determine the
probability that one head and one tail are obtained.
22) If the spinner shown below is spun twice, determine the probability of landing on red for the
1
st
spin and yellow for the 2
nd
spin.
23) Evaluate
7
P
2
.
24) Evaluate
8
C
5
.
25) Evaluate
10
C
6
/
18
C
6
.
26) Use the following daily sales collected by a company over a 20 day period to complete the
frequency distribution table.
$221
$425
$749
$894
$565
$245
$381
$246
$425
$183
$438
$202
$295
$375
$715
$802
$665
$472
$198
$505
Gross
Sales
Frequency
$100-$239
$240-$379
$380-$519
$520-$659
$660-$799
$800-$939
27) Use the table you created in question #1 to create a histogram bar graph.
Frequency
8
7
6
5
4
3
2
1
0
$100-$239
$240-$379
$380-$519
$520-$659
$660-$799
$800-$939
Gross Sales
28) For the data in question #26, how many days were sales of less than $379 collected?
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29) Twenty commuters were asked how many miles they drive in a week and the responses are
shown below.
Construct a stem and leaf plot of the data.
18
24
35
78
47
52
33
48
83
15
61
64
61
27
83
70
41
62
97
68
30) Find the mean, median, mode, and midrange of the data set:
82, 62, 94, 91, 91, 81, 73, 80, 57
31) Determine the range and standard deviation of the following data set:
95, 52, 85, 67, 81, 71,
52, 98, 83
32) Use the Z-score table below to find the area
a)
To the right 1.05
b)
To the left of 0.63
33) For the data below,
X
Y
12
2
17
5
25
10
34
13
39
28
a)
Determine the value for r and determine whether a correlation exists at α = 0.01 using the
table below.
b)
Determine the line of best fit for the data.
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