Question 1

Write out the first five terms of the sequence.
-

Accepted Answer

A)  1, 5, 9, 13, 17 
B)  4, 20, 36, 52, 68 
C)  -12, 4, 20, 36, 52 
D)  4, 8, 12, 16, 20 
A)  1, 5, 9, 13, 17 
B)  4, 20, 36, 52, 68 
C)  -12, 4, 20, 36, 52 
D)  4, 8, 12, 16, 20

Question 2

Solve the problem.
-If the probability that an identified hurricane will make a direct hit on a certain stretch of beach is   what are the odds against a direct hit?

Accepted Answer

A)  9 to 1 
B)  8 to 1 
C)  1 to 10 
D)  10 to 1 
A)  9 to 1 
B)  8 to 1 
C)  1 to 10 
D)  10 to 1

Question 3

List all equally likely outcomes in the sample space for the indicated experiment.
-Two people, each with a well shaken box containing 3 slips of paper labeled rock, paper, and scissors, draw one slip each.

Accepted Answer

A)  {(r, p), (r, s), (p, s)} 
B)  {(r, r), (r, p), (r, s), (p, r), (p, p), (p, s), (s, r), (s, p), (s, s)} 
C)  {(3, 3)} 
D)  {(r, p), (r, s), (p, r), (p, s), (s, r), (s, p)} 
A)  {(r, p), (r, s), (p, s)} 
B)  {(r, r), (r, p), (r, s), (p, r), (p, p), (p, s), (s, r), (s, p), (s, s)} 
C)  {(3, 3)} 
D)  {(r, p), (r, s), (p, r), (p, s), (s, r), (s, p)}

Question 4

Determine if the given sequence could be an arithmetic sequence.
-2, 5, 8, 11, 14, . . .

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 5

Solve the problem.
-If it has been determined that the probability of an earthquake occurring on a certain day in a certain area is   what are the odds against an earthquake?

Accepted Answer

A)  24 to 1 
B)  23 to 1 
C)  25 to 1 
D)  1 to 25 
A)  24 to 1 
B)  23 to 1 
C)  25 to 1 
D)  1 to 25

Question 6

Solve the problem.
-What is the coefficient of   in the expansion of

Accepted Answer

A)  10 
B)  1 
C)  5 
D)  20 
A)  10 
B)  1 
C)  5 
D)  20

Question 7

Write the series in summation notation. Use the index i and let i begin at 1 in each summation.
--6 + 7 - 8 + 9 - 10 + 11

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 8

Find all the terms of the finite sequence.
-

Accepted Answer

A)  1, -1, 1, -1, 1 
B)  1, 1, 1, 1, 1 
C)  -1, 1, -1, 1, -1 
D)  -1,-1,-1,-1,-1 
A)  1, -1, 1, -1, 1 
B)  1, 1, 1, 1, 1 
C)  -1, 1, -1, 1, -1 
D)  -1,-1,-1,-1,-1

Question 9

Solve the problem.
-How many ways are there to choose the answers to a test that consists of seven true-false questions followed by seven multiple-choice questions with four options each?

Accepted Answer

A)  16,512 
B)  117,649 
C)  2450 
D)  2,097,152 
A)  16,512 
B)  117,649 
C)  2450 
D)  2,097,152

Question 10

Find the probability of the event.
-When a single card is drawn from an ordinary 52-card deck, find the probability of getting a black 7.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 11

Write out the first five terms of the sequence.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 12

Find the probability of the event.
-If you are dealt two cards successively (with replacement of the first) from a standard 52-card deck, find the probability of getting a heart on the first card and a diamond on the second.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 13

Write the complete binomial expansion.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 14

Determine whether the equation is true or false.
-

Accepted Answer

A) True 
 B)False

Question 15

Provide an appropriate response.
-Consider the selection of a nominating committee for a club. Is this a combination, a permutation, or neither?

Accepted Answer

A)  Permutation 
B)  Combination 
C)  Neither 
A)  Permutation 
B)  Combination 
C)  Neither

Question 16

Use the addition rule to solve the problem.
-A spinner has regions numbered 1 through 15. What is the probability that the spinner will stop on an even number or a multiple of 3?

Accepted Answer

A)    
B)    
C)    
D)  12 
A)    
B)    
C)    
D)  12

Question 17

Evaluate the expression.
-

Accepted Answer

A)  1 
B)  6 
C)  0! 
D)  4 
A)  1 
B)  6 
C)  0! 
D)  4

Question 18

Write the geometric series in summation notation.
-4 + 8 + 16 + 32 + 64

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 19

Solve the problem.
-In how many ways can a group of 9 students be selected from 10 students?

Accepted Answer

A)  10 
B)  1 
C)  9 
D)  90 
A)  10 
B)  1 
C)  9 
D)  90

Question 20

Solve the problem.
-How many ways can a class president, a class secretary, and a class treasurer be chosen from a group of 6 candidates?

Accepted Answer

A)  18 
B)  15 
C)  120 
D)  360 
A)  18 
B)  15 
C)  120 
D)  360

Write out the first five terms of the sequence. -

Solve the problem. -If the probability that an identified hurricane will make a direct hit on a certain stretch of beach is what are the odds against a direct hit?

List all equally likely outcomes in the sample space for the indicated experiment. -Two people, each with a well shaken box containing 3 slips of paper labeled rock, paper, and scissors, draw one slip each.

Determine if the given sequence could be an arithmetic sequence. -2, 5, 8, 11, 14, . . .

Solve the problem. -If it has been determined that the probability of an earthquake occurring on a certain day in a certain area is what are the odds against an earthquake?

Solve the problem. -What is the coefficient of in the expansion of

Write the series in summation notation. Use the index i and let i begin at 1 in each summation. --6 + 7 - 8 + 9 - 10 + 11

Find all the terms of the finite sequence. -

Solve the problem. -How many ways are there to choose the answers to a test that consists of seven true-false questions followed by seven multiple-choice questions with four options each?

Find the probability of the event. -When a single card is drawn from an ordinary 52-card deck, find the probability of getting a black 7.

Write out the first five terms of the sequence. -

Find the probability of the event. -If you are dealt two cards successively (with replacement of the first) from a standard 52-card deck, find the probability of getting a heart on the first card and a diamond on the second.

Write the complete binomial expansion. -

Determine whether the equation is true or false. -

Provide an appropriate response. -Consider the selection of a nominating committee for a club. Is this a combination, a permutation, or neither?

Use the addition rule to solve the problem. -A spinner has regions numbered 1 through 15. What is the probability that the spinner will stop on an even number or a multiple of 3?

Evaluate the expression. -

Write the geometric series in summation notation. -4 + 8 + 16 + 32 + 64

Solve the problem. -In how many ways can a group of 9 students be selected from 10 students?

Solve the problem. -How many ways can a class president, a class secretary, and a class treasurer be chosen from a group of 6 candidates?

Equations, Inequalities, and Modeling

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Matrices and Determinants

The Conic Sections

Basic Algebra Review

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Exam 11: Sequences, Series, and Probability

Write out the first five terms of the sequence. -

Solve the problem. -If the probability that an identified hurricane will make a direct hit on a certain stretch of beach is what are the odds against a direct hit?

List all equally likely outcomes in the sample space for the indicated experiment. -Two people, each with a well shaken box containing 3 slips of paper labeled rock, paper, and scissors, draw one slip each.

Determine if the given sequence could be an arithmetic sequence. -2, 5, 8, 11, 14, . . .

Solve the problem. -If it has been determined that the probability of an earthquake occurring on a certain day in a certain area is what are the odds against an earthquake?

Solve the problem. -What is the coefficient of in the expansion of

Write the series in summation notation. Use the index i and let i begin at 1 in each summation. --6 + 7 - 8 + 9 - 10 + 11

Find all the terms of the finite sequence. -

Solve the problem. -How many ways are there to choose the answers to a test that consists of seven true-false questions followed by seven multiple-choice questions with four options each?

Find the probability of the event. -When a single card is drawn from an ordinary 52-card deck, find the probability of getting a black 7.

Write out the first five terms of the sequence. -

Find the probability of the event. -If you are dealt two cards successively (with replacement of the first) from a standard 52-card deck, find the probability of getting a heart on the first card and a diamond on the second.

Write the complete binomial expansion. -

Determine whether the equation is true or false. -

Provide an appropriate response. -Consider the selection of a nominating committee for a club. Is this a combination, a permutation, or neither?

Use the addition rule to solve the problem. -A spinner has regions numbered 1 through 15. What is the probability that the spinner will stop on an even number or a multiple of 3?

Evaluate the expression. -

Write the geometric series in summation notation. -4 + 8 + 16 + 32 + 64

Solve the problem. -In how many ways can a group of 9 students be selected from 10 students?

Solve the problem. -How many ways can a class president, a class secretary, and a class treasurer be chosen from a group of 6 candidates?

Equations, Inequalities, and Modeling

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Matrices and Determinants

The Conic Sections

Basic Algebra Review

Filters