MAT 142 – Final Exam review
Chapter 2 review questions for the final exam
1. Determine whether
AB
B A
AB
B A
AB
or none of these. There may be more than one correct answer.
a) A= {a,b,c,d} B = {a,b,c}
b) A = {1,2,3,4} B = {2,4}
c) A= {1,2} B = (2,1}
2. Construct a Venn Diagram for the sets U, A and B. Where A= {1,2,3,4} B={2,3,6,7}
U={1,2,3,4,5,6,7,8}
3. Using the sets from problem 2 list the elements in the following.
a) A’
b) A  B '
c) A ' B '
4. Taco Bell is considering introducing two new Burritos, grande pork and grande chicken. In a sample
of 100 people it was found that
28 liked both
50 liked chicken
40 liked pork
a) Construct a Venn Diagram to model the problem.
b) How many liked only pork?
c) How many didn’t like either?
5. 100 students were surveyed as to the classes they were taking. The following information was
determined.
60 are taking math
62 are taking English
40 are taking Chemistry
11 are taking all three
40 are taking math and English
19 are taking Chemistry and English
24 are taking Chemistry and math
a) Construct a Venn Diagram to model the problem
b) How many are only taking Chemistry?
c) How many aren’t taking any of the three classes?
d) How many are taking exactly 2 of the three classes?
Chapter 4, 8 and 9 review questions for the final exam
(round to 2 decimal places, use 3.14 for Pi)
For problems 1 – 3 use the following shape. Include correct units in each answer.
13 m
5m
12m
1. Use the Pythagorean Theorem to determine the length of the unknown side.
2. Determine the perimeter of the triangle..
3. Determine the area of the triangle.
4. The dimensions of a box are 40” tall, 24” wide and 24” deep. Determine the volume of the box in
cubic inches.
5. A play pool is 24 ft long, 18 feet wide and 4 feet deep. How many gallons of water can it hold. (1
cubic foot of water = 7.5 gallons)
6. Convert the numeral into a numeral in base 10.
a) 145
b) 2167
7. Convert the base 10 numeral to a numeral in the base indicated
a) 12 to base 3
b) 115 to base 2
8. I traveled 400 miles on 11 gallons of gas. How many kilometers can I travel using the same amount of
gas?
9. Convert 120 feet to meters.
10. Convert 150 square inches into square feet.
Chapter 11 review questions for the final exam
1) Alyssa is going to purchase a new car. Her loan will be $12,000. She plans to make 60
payments and her interest rate is 7.9%.
a) Compute her monthly payment.
b) Determine Alyssa’s balance after 2 years.
c) Assume Alyssa makes payments for 2 years and then adds $100 to her
payment. How much time will it take her to pay off her loan?
2)
Beth borrowed $36,000 to purchase a new truck. She financed the truck for 6
years and her interest rate is 4.9%.
a) Compute Beth’s monthly payment.
b) Assume Beth makes all 72 payments on time. How much total interest will she
pay?
Chapter 12 review questions for the final exam
1. One card is selected at random from a deck of cards. Find the probability the card selected is:
a) not red
b) the seven of spades
c) a six or a spade
d) a red ace
2. A bag contains 6 black, 2 red and 3 white marbles. A single marble is drawn at random. What is the
probability it:
a) is black
b) is red or white
3. A couple plans to have 4 children. For your help, construct a tree diagram and list the sample space.
a) Find the probability the couple has all boys.
b) Find the probability the couple has at least one girl.
c) The youngest is a girl.
4. Two cards are drawn from a deck of playing cards WITH replacement. Find the probability
a) both are black
b) a spade then a heart is drawn
c) a 7 then a 4 is drawn
5. Two dice are rolled one after another. Find the probability the sum of the dice:
a) is 10 if the first dice is 4.
b) is even if the second dice is a 2.
Chapter 13 test review questions for the final exam
1. Find the mean, median and mode and midrange of the set of data.
2,2,2,3,4,6,7,8,8,9,10,11,15
2. A mean average of 70 on 8 exams is needed to pass a course. On her first seven exams Jess received
grades of 90,70,88,71,42,98,77.
a) What grade must she receive on the last test in order to pass the course?
b) An average of 80 in the course yields a grade of a B. What does she need to get on the last test to get
a B?
3. Determine the range and standard deviation of the set of data. (round to the nearest hundredth)
4,7,6,5,9,11
Answers for chapter 2 review questions:
1a) B ⊂ A, B ⊆ A
1b) B ⊆ A, B ⊂ A
1c) A=B, A ⊆ B, B ⊆ A
2a) It’s hard to type Venn diagrams – see video for answer
3a) A’ = {5,6,7,8} 3b) {1,4}
3c) {1,4,5,6,7,8}
4a) to be done in class 4b) 12 4c) 38
5a)
see video for answer 5b) 8 5c) 10 5d) 50
Answers for Chapter 4,8,9 review questions
1) 13m 2) 30m 3) 30 m2 4) 23040 in3 5) 12960 gallons 6a) 9 6b) 111
7a) 1103
7b) 11100112 8) (note 1.6 km = 1 mile) 640 km 9) 36 meters 10) 1.04 ft2
Answers for Chapter 11 review questions
1a) 242.74 1b) 7757.78 1c) 24.6 more months, about 25 months
2a) 578.11 2b) 5623.92
Answers for chapter 12 review questions
1a)
2a)
4a)
5a)
26/52 = ½ 1b) 1/52 1c) 16/52 = 4/13 1d) 2/52 = 1/26
6/11 2b) 5/11 3a) 1/16 3b) 15/16 3c) 8/16 = ½
(26/52)(26/52) = ¼ 4b) (13/52)(13/52) = 1/16 4c) (4/52)(4/52) = 1/169
1/6 5b) 3/6 = ½
Answers for chapter 13 review questions
1) Median 7, mode 2, midrange 8.5 mean 6.69
2) 2a) 24 to pass 2b) 104 to get a B
3) Range 7 standard deviation 2.61