Question 1

Use this graph to answer the question.  
-What were the total sales for the first 6 months of 2010?

Accepted Answer

A) $302,000 
B) $64,000 
C) $366,000 
D) $286,000 
A) $302,000 
B) $64,000 
C) $366,000 
D) $286,000 C

Question 2

Use the appropriate formula to find the indicated figurate number.
-the 15th octagonal number

Accepted Answer

A)  $\mathrm { O } _ { 15 } = 225$ 
B)  $\mathrm { O } _ { 15 } = 82.5$ 
C)  $\mathrm { O } _ { 15 } = 645$ 
D)  $\mathrm { O } _ { 15 } = 187.5$ 
A)  $\mathrm { O } _ { 15 } = 225$ 
B)  $\mathrm { O } _ { 15 } = 82.5$ 
C)  $\mathrm { O } _ { 15 } = 645$ 
D)  $\mathrm { O } _ { 15 } = 187.5$ C

Question 3

Find a pattern and use it to solve the problem.
-Find the next term: 21, 4, 17, 6, 11, 8

Accepted Answer

A) 0 
B) 19 
C) 3 
D) 7 
A) 0 
B) 19 
C) 3 
D) 7 C

Question 4

Solve the problem.
-A cell has at least 3 and at most 47 nucleii. How many cells must a scientist view under his microscope to be certain that at least two cells have the same number of nucleii?

Accepted Answer

A) 45 cells 
B) 44 cells 
C) 47 cells 
D) 46 cells 
A) 45 cells 
B) 44 cells 
C) 47 cells 
D) 46 cells

Question 5

Decide whether the argument is an example of inductive or deductive reasoning.
-Practice makes perfect. I have practiced. Therefore, I'll be perfect.

Accepted Answer

A) Inductive 
B) Deductive 
A) Inductive 
B) Deductive

Question 6

Determine the indicated term in the given sequence.
-The 7 th term of $1 , \frac { 1 } { 3 } , \frac { 1 } { 9 } , \ldots$

Accepted Answer

A)  $\frac { 1 } { 3 }$ 
B)  $\frac { 1 } { 729 }$ 
C)  $\frac { 1 } { 6561 }$ 
D)  $\frac { 1 } { 243 }$ 
A)  $\frac { 1 } { 3 }$ 
B)  $\frac { 1 } { 729 }$ 
C)  $\frac { 1 } { 6561 }$ 
D)  $\frac { 1 } { 243 }$

Question 7

The bar graph below shows the number of students by major in the College of Arts and Sciences. Answer the question.  
-What percent of students in the college are science majors (to the nearest tenth of a percent)?

Accepted Answer

A) 32.7% 
B) 85.7% 
C) 14.3% 
D) 12.2% 
A) 32.7% 
B) 85.7% 
C) 14.3% 
D) 12.2%

Question 8

Determine what the next equation would be, and verify that it is indeed a true statement.
-15 + 51 = 66 
16 + 61 = 77

Accepted Answer

A) 17 + 71 = 102 
B) 71 + 17 = 88 
C) 17 + 71 = 88 
D) 55 + 33 = 88 
A) 17 + 71 = 102 
B) 71 + 17 = 88 
C) 17 + 71 = 88 
D) 55 + 33 = 88

Question 9

Use inductive reasoning to predict the next equation.
-$\begin{aligned}
8 ( 5 ) & = 10 ( 5 - 1 ) \
8 ( 5 ) + 8 ( 25 ) & = 10 ( 25 - 1 ) \
8 ( 5 ) + 8 ( 25 ) + 8 ( 125 ) & = 10 ( 125 - 1 ) \
8 ( 5 ) + 8 ( 25 ) + 8 ( 125 ) + 8 ( 625 ) & = 10 ( 625 - 1 )
\end{aligned}$

Accepted Answer

A)  $8 ( 5 ) + 8 ( 25 ) + 8 ( 125 ) + 8 ( 625 ) + 8 ( 1250 ) = 10 ( 1250 - 1 )$ 
B)  $8 ( 5 ) + 8 ( 25 ) + 8 ( 125 ) + 8 ( 625 ) + 8 ( 3125 ) = 8 ( 3125 - 1 )$ 
C)  $8 ( 5 ) + 8 ( 25 ) + 8 ( 125 ) + 8 ( 625 ) + 8 ( 3125 ) = 10 ( 3125 - 1 )$ 
D)  $8 ( 5 ) + 8 ( 25 ) + 8 ( 125 ) + 8 ( 625 ) + 8 ( 5000 ) = 10 ( 5000 - 1 )$ 
A)  $8 ( 5 ) + 8 ( 25 ) + 8 ( 125 ) + 8 ( 625 ) + 8 ( 1250 ) = 10 ( 1250 - 1 )$ 
B)  $8 ( 5 ) + 8 ( 25 ) + 8 ( 125 ) + 8 ( 625 ) + 8 ( 3125 ) = 8 ( 3125 - 1 )$ 
C)  $8 ( 5 ) + 8 ( 25 ) + 8 ( 125 ) + 8 ( 625 ) + 8 ( 3125 ) = 10 ( 3125 - 1 )$ 
D)  $8 ( 5 ) + 8 ( 25 ) + 8 ( 125 ) + 8 ( 625 ) + 8 ( 5000 ) = 10 ( 5000 - 1 )$

Question 10

The bar graph below shows the number of students by major in the College of Arts and Sciences. Answer the question.  
-What percent of students are history and science majors (to the nearest tenth of a percent)?

Accepted Answer

A) 28.6% 
B) 38.9% 
C) 57.1% 
D) 36.7% 
A) 28.6% 
B) 38.9% 
C) 57.1% 
D) 36.7%

Question 11

Use logic to solve the problem.
-Farmer Higgs owns 5 white pigs, 3 grey pigs, and one black pig. How many of Higgs' pigs can say that it is the same color as another pig on Higgs' farm?

Accepted Answer

None. Pigs

Question 12

Use your calculator to perform each calculation and observe the answers. Use inductive reasoning to determine which statement is true.
-19 × 0 ; -8 × 0 ; 3.075 × 0 ; -0.185 × 0

Accepted Answer

A) Multiplying a number by 0 gives a result of 0 . 
B) Multiplying a number by 0 leaves the number unchanged. 
C) Multiplying a number by 0 gives a result of 1. 
D) Multiplying a number by 0 gives an error message on a calculator. 
A) Multiplying a number by 0 gives a result of 0 . 
B) Multiplying a number by 0 leaves the number unchanged. 
C) Multiplying a number by 0 gives a result of 1. 
D) Multiplying a number by 0 gives an error message on a calculator.

Question 13

Determine if the sequence is an arithmetic sequence, a geometric sequence, or neither. If it is either arithmetic or geometric, give the next term in the sequence.
-2, 5, 10, 17, 26, . . .

Accepted Answer

A) arithmetic; 37 
B) neither 
C) geometric; 37 
A) arithmetic; 37 
B) neither 
C) geometric; 37

Question 14

Solve the problem.
-When 15 gallons of gasoline are put into a car's tank, the indicator goes from $\frac { 1 } { 8 }$ of a tank to $\frac { 3 } { 4 }$. What is the total capacity of the gasoline tank?

Accepted Answer

A)  36 gallons 
B)  18 gallons 
C)  30 gallons 
D)  24 gallons 
A)  36 gallons 
B)  18 gallons 
C)  30 gallons 
D)  24 gallons

Question 15

Determine what the next equation would be, and verify that it is indeed a true statement.
-(6 × 1)× (2 × 1)= 12 
(6 × 10)× (2 × 2)= 240
(6 × 100)× (2 × 3)= 3600

Accepted Answer

A) (6 × 1000)× (2 × 4)= 42,000 
B) (6 × 1000)× (2 × 4)= 4800 
C) (6 × 1000)× (2 × 4)= 54,000 
D) (6 × 1000)× (2 × 4)= 48,000 
A) (6 × 1000)× (2 × 4)= 42,000 
B) (6 × 1000)× (2 × 4)= 4800 
C) (6 × 1000)× (2 × 4)= 54,000 
D) (6 × 1000)× (2 × 4)= 48,000

Question 16

Use inductive reasoning to predict the next equation.
-37,037 × 3 = 111,111 
37,037 × 6 = 222,222
37,037 × 9 = 333,333
37,037 × 12 = 444,444

Accepted Answer

A) 37,037 × 15 = 555,555 
B) 37,037 × 18 = 666,666 
C) 111,111 × 15 = 1,666,665 
D) 37,037 × 13 = 481,481 
A) 37,037 × 15 = 555,555 
B) 37,037 × 18 = 666,666 
C) 111,111 × 15 = 1,666,665 
D) 37,037 × 13 = 481,481

Question 17

Solve the problem.
-Alice's grandmother has a birthdate which is a 5-digit palindrome in the form a-bc-de, month-day-year. If d is 1 more than e and c is 2 more than b, what is her birthdate?

Accepted Answer

A) 1-24-21 
B) 2-13-12 
C) 2-35-32 
D) 3-24-23 
A) 1-24-21 
B) 2-13-12 
C) 2-35-32 
D) 3-24-23

Question 18

Determine what the next equation would be, and verify that it is indeed a true statement.
-7 × 8 = 9 × 10 - (7 + 8 + 9 + 10)
8 × 9 = 10 × 11 - (8 + 9 + 10 + 11)

Accepted Answer

A) 10 × 11 = 12 × 13 - (10 + 11 + 12 + 13) 
B) 9 × 10 = 11 × 12 - (9 + 10 + 11 + 12) 
C) 9 × 10 = 11 × 12 - (7 + 8 + 9 + 10 + 11 + 12) 
D) 10 × 11 = 12 × 13 - (9 + 8 + 7 + 6) 
A) 10 × 11 = 12 × 13 - (10 + 11 + 12 + 13) 
B) 9 × 10 = 11 × 12 - (9 + 10 + 11 + 12) 
C) 9 × 10 = 11 × 12 - (7 + 8 + 9 + 10 + 11 + 12) 
D) 10 × 11 = 12 × 13 - (9 + 8 + 7 + 6)

Question 19

Determine the most probable next term in the sequence.
-$\frac { 3 } { 2 } , \frac { 5 } { 4 } , \frac { 7 } { 6 } , \frac { 9 } { 8 } , \frac { 11 } { 10 }$

Accepted Answer

A)  $\frac { 12 } { 11 }$ 
B)  $\frac { 12 } { 13 }$ 
C)  $\frac { 13 } { 11 }$ 
D)  $\frac { 13 } { 12 }$ 
A)  $\frac { 12 } { 11 }$ 
B)  $\frac { 12 } { 13 }$ 
C)  $\frac { 13 } { 11 }$ 
D)  $\frac { 13 } { 12 }$

Question 20

Determine if the sequence is an arithmetic sequence, a geometric sequence, or neither. If it is either arithmetic or geometric, give the next term in the sequence.
-9, 29, 49, 69, 89, . . .

Accepted Answer

A) geometric; 109 
B) neither 
C) arithmetic; 109 
A) geometric; 109 
B) neither 
C) arithmetic; 109

Use this graph to answer the question. -What were the total sales for the first 6 months of 2010?

Use the appropriate formula to find the indicated figurate number. -the 15th octagonal number

Find a pattern and use it to solve the problem. -Find the next term: 21, 4, 17, 6, 11, 8

Solve the problem. -A cell has at least 3 and at most 47 nucleii. How many cells must a scientist view under his microscope to be certain that at least two cells have the same number of nucleii?

Decide whether the argument is an example of inductive or deductive reasoning. -Practice makes perfect. I have practiced. Therefore, I'll be perfect.

Determine the indicated term in the given sequence. -The 7 th term of $1 , \frac { 1 } { 3 } , \frac { 1 } { 9 } , \ldots$

The bar graph below shows the number of students by major in the College of Arts and Sciences. Answer the question. -What percent of students in the college are science majors (to the nearest tenth of a percent)?

Determine what the next equation would be, and verify that it is indeed a true statement. -15 + 51 = 66 16 + 61 = 77

Use inductive reasoning to predict the next equation. - 8(5) =10(5-1) 8(5)+8(25) =10(25-1) 8(5)+8(25)+8(125) =10(125-1) 8(5)+8(25)+8(125)+8(625) =10(625-1)

The bar graph below shows the number of students by major in the College of Arts and Sciences. Answer the question. -What percent of students are history and science majors (to the nearest tenth of a percent)?

Use logic to solve the problem. -Farmer Higgs owns 5 white pigs, 3 grey pigs, and one black pig. How many of Higgs' pigs can say that it is the same color as another pig on Higgs' farm?

Use your calculator to perform each calculation and observe the answers. Use inductive reasoning to determine which statement is true. -19 × 0 ; -8 × 0 ; 3.075 × 0 ; -0.185 × 0

Determine if the sequence is an arithmetic sequence, a geometric sequence, or neither. If it is either arithmetic or geometric, give the next term in the sequence. -2, 5, 10, 17, 26, . . .

Solve the problem. -When 15 gallons of gasoline are put into a car's tank, the indicator goes from $\frac { 1 } { 8 }$ of a tank to $\frac { 3 } { 4 }$ . What is the total capacity of the gasoline tank?

Determine what the next equation would be, and verify that it is indeed a true statement. -(6 × 1)× (2 × 1)= 12 (6 × 10)× (2 × 2)= 240 (6 × 100)× (2 × 3)= 3600

Use inductive reasoning to predict the next equation. -37,037 × 3 = 111,111 37,037 × 6 = 222,222 37,037 × 9 = 333,333 37,037 × 12 = 444,444

Solve the problem. -Alice's grandmother has a birthdate which is a 5-digit palindrome in the form a-bc-de, month-day-year. If d is 1 more than e and c is 2 more than b, what is her birthdate?

Determine what the next equation would be, and verify that it is indeed a true statement. -7 × 8 = 9 × 10 - (7 + 8 + 9 + 10) 8 × 9 = 10 × 11 - (8 + 9 + 10 + 11)

Determine the most probable next term in the sequence. - $\frac { 3 } { 2 } , \frac { 5 } { 4 } , \frac { 7 } { 6 } , \frac { 9 } { 8 } , \frac { 11 } { 10 }$

Determine if the sequence is an arithmetic sequence, a geometric sequence, or neither. If it is either arithmetic or geometric, give the next term in the sequence. -9, 29, 49, 69, 89, . . .

The Basic Concepts of Set Theory

Introduction to Logic

Numeration Systems

Number Theory

The Real Numbers and Their Representations

The Basic Concepts of Algebra

Graphs, Functions, and Systems of Equations and Inequalities

Geometry

Counting Methods

Probability

Statistics

Personal Financial Management

Trigonometry Formerly

Graph Theory

Voting and Apportionment

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Exam 1: The Art of Problem Solving