Question 1 of 25

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// Use inductive reasoning to find a pattern, and then make a reasonable conjecture for the next number in the sequence. 13 15 11 13 9 11 7 9 ____
//


Part 2 of 25 – Unit 1 Q2 
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Question 2 of 25

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// Write a counterexample to show that the statement is false. When any number is multiplied by 2 and the digits of the answer are added, the sum will be divisible by 2.
A.10 × 2 = 20; 2 + 0 = 2, which is divisible by 2. 

B.11 × 2 = 22; 2 + 2 = 4, which is divisible by 2. 

C.6 × 2 = 12; 1 + 2 = 3, which is not divisible by 2. 

D.111 × 2 = 222; 2 + 2 + 2 = 6, which is not divisible by 2. 

//


Part 3 of 25 – Unit 1 Q4 
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Question 3 of 25

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//
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 × 36 = ?

A.333,333,333 

B.444,444,408 

C.444,444,444 

D.555,555,555 

//


Part 4 of 25 – Unit 1 Q6 
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Question 4 of 25

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// Round 818,021,886 to the nearest tenmillion.
A.820,000,000 

B.800,000,000 

C.818,000,000 

D.818,020,000 

//


Part 5 of 25 – Unit 1 Q7 
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Question 5 of 25

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// The demographics of an elementary school are shown below. The school has 329 students. Estimate the number of students who are Hispanic.
//


Part 6 of 25 – Unit 1 Q8 
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Question 6 of 25

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// Estimate the number of people living in the US in 1985.
A.15,800,000 

B.118,000,000 

C.238,000,000 

D.158,000,000 

//


Part 7 of 25 – Unit 1 Q9 
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Question 7 of 25

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// Phil has 11 stamps of denominations $0.37 and $0.23. If the total value of the stamps is $3.51 how many $0.37 stamps does Phil have?
//


Part 8 of 25 – Unit 1 Q10 
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Question 8 of 25

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// A car travels 518 miles on 7.8 gallons of gasoline. How many miles per gallon did the car get? (Round to the nearest tenth.)
A.15.1 miles per gallon 

B.60.9 miles per gallon 

C.68.8 miles per gallon 

D.66.4 miles per gallon 

//


Part 9 of 25 – Unit 1 Q12 
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Question 9 of 25

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// The length of a garden is double its width. There is a fence around the perimeter that measures 78 ft. What are the length and width of the garden?
A.length = 26 ft, width = 13 ft 

B.length = 39 ft, width = 19.5 ft 

C.length = 19.5 ft, width = 39 ft 

D.length = 13 ft, width = 26 ft 

//


Part 10 of 25 – Unit 1 Q13 
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Question 10 of 25

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// A person’s monthly budget includes $218 for food, $155 for gasoline, and $180 for utilities. If the person earns $1,820 per month, how much money is left for other expenses?
A.$1,267 

B.$1,485 

C.$1,447 

D.$634 

//


Part 11 of 25 – Unit 1 Q15 
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Question 11 of 25

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// Write the set using the descriptive method: {3, 6, 9, 12, 15}
A.The set natural numbers between 3 and 15. 

B.{x  x is a multiple of 3 less than 16} 

C.{x  x is a natural number between 3 and 15} 

D.The set of the first five multiples of 3. 

//


Part 12 of 25 – Unit 1 Q16 
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Question 12 of 25

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// Write the set using setbuilder notation: {1, 3, 5, . . . , 21}
A.{x  x is an odd natural number less than 22} 

B.{x  x is a member of the natural numbers and less than 22} 

C.{x x is a member of the natural numbers and less than 21} 

D.{x  x is an odd natural number less than 21} 

//


Part 13 of 25 – Unit 1 Q17 
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Question 13 of 25

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// Find the cardinal number for the set. A = {3, 6, 9, . . . , 33}
A.n(A) = 3 

B.n(A) = 11 

C.The set is infinite. 

D.n(A) = 33 

//


Part 14 of 25 – Unit 1 Q18 
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Question 14 of 25

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// 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.
A.(2003, 2004} 

B.(2005, 2006, 2007, 2008} 

C.(2003, 2004, 2008} 

D.(2005, 2006, 2007} 

//


Part 15 of 25 – Unit 1 Q19 
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Question 15 of 25

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// Let U = {4, 8, 12, 16, 20, 24, 28, 32} and A = {12, 16, 20, 28}. Find A’.
A.A’ = {4, 8, 32} 

B.A’ = {0} 

C.A’ = {4, 8, 24, 32} 

D.A’ = Ø 

//


Part 16 of 25 – Unit 1 Q20 
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Question 16 of 25

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// Find the number of subsets the set has. {1, 2, 3}
//


Part 17 of 25 – Unit 1 Q21 
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Question 17 of 25

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// Find all proper subsets of the set. {a, f, x}
A.Ø; {a}; {f}; {x}; {a, f}; {a, x}; {f, x} 

B.Ø; {a}; {f}; {x}; {a, f}; {a, x}; {f, x}; {a, f, x} 

C.Ø; {a, f}; {a, x}; {f, x} 

D.Ø; {a, f}; {a, x}; {f, x}; {a, f, x} 

//


Part 18 of 25 – Unit 1 Q22 
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Question 18 of 25

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// Let U = {n, p, q, r, s, t, u, v} A = {n, p, q, r} B = {n, q, s, u}. Find B – A.
A.B – A = {n, p, q, r, s, u} 

B.B – A = {s, u} 

C.B – A = Ø 

D.B – A = {s, t, u, v} 

//


Part 19 of 25 – Unit 1 Q23 
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Question 19 of 25

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// Let X = {4, 6}. Find X × X.
A.X × X = {(4, 6), (6, 4)} 

B.X × X = {16, 24, 36} 

C.X × X = {16, 36} 

D.X × X = {(4, 4), (4, 6), (6, 4), (6, 6)} 

//


Part 20 of 25 – Unit 1 Q24 
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Question 20 of 25

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// 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, steak fries, pink lemonade, soft pretzel. How many different selections can be made?
//


Part 21 of 25 – Unit 1 Q25 
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Question 21 of 25

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// 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 students who are not taking English but who are taking either math or history?
//


Part 22 of 25 – Unit 1 Q27 
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Question 22 of 25

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// X = {students running cross country}, Y = {students swimming}, and Z = {students running track}. Draw a Venn diagram of Z – (X∪Y), and write a sentence describing what the set represents.
A.Students not running cross country and not swimming.


B.Students running track but not playing all three sports.


C.Students running track but not running cross country or swimming.


D.Students running cross country, swimming and running track, or running track only.


//


Part 23 of 25 – Unit 1 Q28 
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Question 23 of 25

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// 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 Michel. (Note set X represents 2005 topranked students, set Y represents 2006 topranked students, and set Z represents 2007 topranked students.)
A.Region III 

B.Region II 

C.Region V 

D.Region VI 

//


Part 24 of 25 – Unit 1 Q29 
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Question 24 of 25

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// In a survey of 16 college students, it was found that 12 were taking an English class, 13 were taking a math class, and 10 were taking both English and math. How many students were taking a math class only?
//


Part 25 of 25 – Unit 1 Q30 
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Question 25 of 25

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// One weekend, there were 104 pizzas ordered for the sophomore dorm. That weekend 17 customers ordered their pizza with just pepperoni, 20 customers ordered their pizza with just sausage, 19 ordered theirs with just onions, 9 ordered theirs with pepperoni and sausage, 14 ordered theirs with sausage and onions, 12 ordered theirs with pepperoni and onions, and 7 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?
//

