# AMU MATH 125 Test Week 1 answers

## AMU MATH 125 Test Week 1 question 1

Use inductive reasoning to find a pattern, and then make a reasonable conjecture for the next number in the sequence. 7 8 6 7 5 6 4 5 ____

A.3

B.7

C.6

D.4

## AMU MATH 125 Test Week 1 question 2

Write a counterexample to show that the statement is false. When any number is multiplied by 8 and the digits of the answer are added, the sum will be divisible by 8.

A.11 × 8 = 88; 8 + 8 = 16, which is divisible by 8.

B.111 × 8 = 888; 8 + 8 + 8 = 24, which is not divisible by 8.

C.10 × 8 = 80; 8 + 0 = 8, which is divisible by 8.

D.6 × 8 = 48; 4 + 8 = 12, which is not divisible by 8.

## AMU MATH 125 Test Week 1 question 3

Use inductive reasoning to make a conjecture about a rule that relates the original number to the final answer.  Try to prove your conjecture using deductive reasoning.

Select a number.

Multiply by 5.

Subtract 350.

Divide by 5.

Subtract the original number.

C.The answer is always the original number.

## AMU MATH 125 Test Week 1 question 4

Use inductive reasoning to find a pattern for the answers.  Then use the pattern to guess the result of the final calculation, and perform the operation to see if your answer is correct.

12,345,679 ×  9 = 111,111,111

12,345,679 × 18 = 222,222,222

12,345,679 × 27 = 333,333,333

.

.

.

12,345,679 × 63 = ?

A.777,777,714

B.666,666,666

C.777,777,777

D.888,888,888

## AMU MATH 125 Test Week 1 question 5

Use deductive reasoning to arrive at a conclusion. On Christmas Day, Thai restaurants and ski slopes are always open, so this Christmas Day we can

A.eat Thai food and go skiing.

B.eat fast food and go skiing.

D.eat Mexican food and go skiing.

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## AMU MATH 125 Test Week 1 question 6

Round 566,910,812 to the nearest ten-million.

A.566,910,000

B.600,000,000

C.570,000,000

D.567,000,000

## AMU MATH 125 Test Week 1 question 7

The demographics of an elementary school are shown below. The school has 302 students. Estimate the number of students who are Multi-Racial.

A.604

B.6

C.1

D.2

## AMU MATH 125 Test Week 1 question 8

Estimate the number of people living in the US in 1935.

A.165,000,000

B.16,500,000

C.125,000,000

D.145,000,000

## AMU MATH 125 Test Week 1 question 9

Phil has 17 stamps of denominations \$0.37 and \$0.23. If the total value of the stamps is \$4.89 how many \$0.37 stamps does Phil have?

A.10

B.7

C.6

D.8

## AMU MATH 125 Test Week 1 question 10

A car travels 430 miles on 8 gallons of gasoline. How many miles per gallon did the car get? (Round to the nearest tenth.)

A.18.6 miles per gallon

B.48.3 miles per gallon

C.56.2 miles per gallon

D.53.8 miles per gallon

## AMU MATH 125 Test Week 1 question 11

The manager of an Internet cafe is having new counters custom-made. She wants to put 7 PCs on each counter with 3 feet between the PCs and 2 feet on each end. The PCs measure 18 inches wide and 24 inches high. What length of counters should the Internet cafe have made?

A.35.5 ft

B.32.5 ft

C.33.5 ft

D.36 ft

## AMU MATH 125 Test Week 1 question 12

The length of a garden is double its width. There is a fence around the perimeter that measures 162 ft. What are the length and width of the garden?

A.length = 81 ft, width = 40.5 ft

B.length = 40.5 ft, width = 81 ft

C.length = 27 ft, width = 54 ft

D.length = 54 ft, width = 27 ft

## AMU MATH 125 Test Week 1 question 13

A person’s monthly budget includes \$215 for food, \$135 for gasoline, and \$153 for utilities. If the person earns \$1,658 per month, how much money is left for other expenses?

A.\$1,370

B.\$1,308

C.\$578

D.\$1,155

## AMU MATH 125 Test Week 1 question 14

Write the set using roster notation: {x | x N and x > 20}

A.{21, 22, 23, 24, . . .}

B.{x | x is a natural number greater than 20}

C.{20, 21, 22, 23, . . .}

D.{x | x is a natural number less than 20}

## AMU MATH 125 Test Week 1 question 15

Write the set using the descriptive method: {4, 8, 12, 16, 20}

A.{x | x is a multiple of 4 less than 21}

B.{x | x is a natural number between 4 and 20}

C.The set natural numbers between 4 and 20.

D.The set of the first five multiples of 4.

## AMU MATH 125 Test Week 1 question 16

Write the set using set-builder notation: {1, 3, 5, . . . , 29}

A.{x |x is a member of the natural numbers and less than 30}

B.{x | x is an odd natural number less than 30}

C.{x |x is a member of the natural numbers and less than 29}

D.{x | x is an odd natural number less than 29}

## AMU MATH 125 Test Week 1 question 17

Find the cardinal number for the set. A = {5, 10, 15, . . . , 60}

A.n(A) = 12

B.n(A) = 60

C.n(A) = 5

D.The set is infinite.

## AMU MATH 125 Test Week 1 question 18

The graph below displays the median housing prices for all houses sold in Anywhere, US between 2003 and 2008. Median Home Prices in Anywhere List the set of years in which the median price was above \$150,000.

Median House Price

A.(2003, 2004, 2008}

B.(2005, 2006, 2007, 2008}

C.(2005, 2006, 2007}

D.(2003, 2004}

## AMU MATH 125 Test Week 1 question 19

Let U = {6, 12, 18, 24, 30, 36, 42, 48} and A = {18, 24, 30, 42}. Find A’.

A.A’ = {0}

B.A’ = Ø

C.A’ = {6, 12, 48}

D.A’ = {6, 12, 36, 48}

## AMU MATH 125 Test Week 1 question 20

Find the number of subsets the set has. {1, 2, 3, 4, 5, 6, 7}

A.128

B.64

C.127

D.7

## AMU MATH 125 Test Week 1 question 21

Find all proper subsets of the set. {b, g, y}

A.Ø; {b, g}; {b, y}; {g, y}

B.Ø; {b, g}; {b, y}; {g, y}; {b, g, y}

C.Ø; {b}; {g}; {y}; {b, g}; {b, y}; {g, y}; {b, g, y}

D.Ø; {b}; {g}; {y}; {b, g}; {b, y}; {g, y}

## AMU MATH 125 Test Week 1 question 22

Let U = {s, t, u, v, w, x, y, z} A = {s, t, u, v} B = {s, u, w, y}. Find B – A.

A.B – A = {s, t, u, v, w, y}

B.B – A = Ø

C.B – A = {w, x, y, z}

D.B – A = {w, y}

## AMU MATH 125 Test Week 1 question 23

Let X = {2, 4}. Find X × X.

A.X × X = {4, 16}

B.X × X = {(2, 4), (4, 2)}

C.X × X = {(2, 2), (2, 4), (4, 2), (4, 4)}

D.X × X = {4, 8, 16}

## AMU MATH 125 Test Week 1 question 24

Since the student union is being remodeled, there is a limited choice of foods and drinks a student can buy for a snack between classes. Students can choose none, some, or all of these items: soft drink, hamburger, fries, lemonade, soft pretzel, brownie. How many different selections can be made?

A.6

B.64

C.36

D.63

## AMU MATH 125 Test Week 1 question 25

Let U = all students taking classes at APUS

Let A = the students at APUS taking Mathematics

Let B = the students at APUS taking English

Let C = the students at APUS taking History

Which of the Venn Diagrams represents all students at APUS?

A.

B.

C.

D.

## AMU MATH 125 Test Week 1 question 26

A = {people who drive a compact car} and B = {people who drive a diesel vehicle}. Draw a Venn diagram of A ∩ B and write a sentence describing what the set represents.

A.People who drive a diesel vehicle, but not a compact car.

B.People who drive a compact car or a diesel vehicle.

C.People who drive a compact car, but not a diesel vehicle.

D.People who drive a diesel compact car.

## AMU MATH 125 Test Week 1 question 27

X = {students playing football}, Y = {students wrestling}, and Z = {students playing baseball}. Draw a Venn diagram of Z – (X∪Y), and write a sentence describing what the set represents.

A.Students playing baseball but not playing all three sports.

B.Students playing football, wrestling and playing baseball, or playing baseball only.

C.Students not playing football and not wrestling.

D.Students playing baseball but not playing football or wrestling.

## AMU MATH 125 Test Week 1 question 28

The table shows the students from Genius High School with the four highest GPAs from 2005 to 2007. Write the region(s) of the Venn diagram that would include Siobhan. (Note set X represents 2005 top-ranked students, set Y represents 2006 top-ranked students, and set Z represents 2007 top-ranked students.)

Table of Student Names

Venn Diagram – Sets X, Y, and Z.

A.Region VI

B.Region V

C.Region III

D.Region II

## AMU MATH 125 Test Week 1 question 29

In a survey of 31 college students, it was found that 17 were taking an English class, 19 were taking a math class, and 10 were taking both English and math. How many students were taking a math class only?

A.24

B.14

C.9

D.5

## AMU MATH 125 Test Week 1 question 30

One weekend, there were 66 pizzas ordered for the sophomore dorm. That weekend 10 customers ordered their pizza with just pepperoni, 17 customers ordered their pizza with just sausage, 12 ordered theirs with just onions, 11 ordered theirs with pepperoni and sausage, 8 ordered theirs with sausage and onions, 2 ordered theirs with pepperoni and onions, and 4 ordered theirs with all three items. The remaining pizzas were cheese pizzas with no toppings. How many customers ordered at most two toppings on their pizza?

A.21

B.22

C.60

D.62