Question 1

Solve the problem.
-If the odds against a candidate winning an election are 5 to 9, then what is the probability that that candidate will win the election?

Accepted Answer

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

Question 2

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

Accepted Answer

A)  2520 
B)  -72 
C)  -181,440 
D)  15,120 
A)  2520 
B)  -72 
C)  -181,440 
D)  15,120

Question 3

Find the sum of the geometric series.
-4 - 8 + 16 - 32 + 64

Accepted Answer

A)  -44 
B)  44 
C)  124 
D)  -124 
A)  -44 
B)  44 
C)  124 
D)  -124

Question 4

Evaluate the expression.
-

Accepted Answer

A)  0 
B)    
C)  9 
D)  1 
A)  0 
B)    
C)  9 
D)  1

Question 5

Evaluate the expression.
-C(3, 1)

Accepted Answer

A)  3 
B)  0 
C)  6 
D)  1 
A)  3 
B)  0 
C)  6 
D)  1

Question 6

Solve.
-How many ways can a president, vice-president, secretary, and treasurer be chosen from a club with 9 members?

Accepted Answer

A)  36 
B)  24 
C)  3024 
D)  126 
A)  36 
B)  24 
C)  3024 
D)  126

Question 7

Find all the terms of the finite sequence.
-

Accepted Answer

A)  4, 3, -2, -1, 0 
B)  4, 3, 2, 1, 0 
C)  -5, -4, -3, -2, -1 
D)  -4, -3, -2, -1, 0 
A)  4, 3, -2, -1, 0 
B)  4, 3, 2, 1, 0 
C)  -5, -4, -3, -2, -1 
D)  -4, -3, -2, -1, 0

Question 8

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

Accepted Answer

A)    
B)  2 
C)    
D)    
A)    
B)  2 
C)    
D)

Question 9

Solve the problem.
-Using the numerals 0 through 9, how many 5-digit serial numbers can be made if the first digit must be 0 or 1 and numerals may be repeated?

Accepted Answer

A)  20,000 
B)  13,122 
C)  80 
D)  100,000 
A)  20,000 
B)  13,122 
C)  80 
D)  100,000

Question 10

Find the mean for the sequence of numbers.
-13 , 10 , -4 , 13 , -2

Accepted Answer

A)  6 
B)  2 
C)  7.5 
D)  5 
A)  6 
B)  2 
C)  7.5 
D)  5

Question 11

Determine if the given sequence could be an arithmetic sequence.
-

Accepted Answer

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

Question 12

Solve the problem using the idea of labeling.
-In how many ways can 9 officers be assigned with 4 assigned to parking, 3 assigned to security, and 2 assigned to emergencies?

Accepted Answer

A)  1260 
B)  2520 
C)  40,320 
D)  15,120 
A)  1260 
B)  2520 
C)  40,320 
D)  15,120

Question 13

Identify the sequence as arithmetic, geometric, or neither.
-

Accepted Answer

A)  Arithmetic 
B)  Neither 
C)  Geometric 
A)  Arithmetic 
B)  Neither 
C)  Geometric

Question 14

Find the indicated part of the arithmetic sequence.
-Find the 17th term of the sequence that has a first term of 5 and a common difference of

Accepted Answer

A)  1 
B)    
C)    
D)  9 
A)  1 
B)    
C)    
D)  9

Question 15

Solve.
-A baseball manager has 12 players of the same ability. How many 9 player starting lineups can he create?

Accepted Answer

A)  79,833,600 
B)  108 
C)  220 
D)  362,880 
A)  79,833,600 
B)  108 
C)  220 
D)  362,880

Question 16

Write a formula for the nth term of the infinite sequence. Do not use a recursion formula.
-2 , 8 , 14 , 20 , 26 , . . .

Accepted Answer

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

Question 17

Solve the problem.
-A shirt company has 4 designs that can be made with short or long sleeves. There are 5 color patterns available. How many different types of shirts are available from this company?

Accepted Answer

A)  9 
B)  40 
C)  20 
D)  11 
A)  9 
B)  40 
C)  20 
D)  11

Question 18

Find the sum of the geometric series.
-

Accepted Answer

A)  42 
B)  255 
C)  22 
D)  186 
A)  42 
B)  255 
C)  22 
D)  186

Question 19

Write the complete binomial expansion.
-

Accepted Answer

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

Question 20

Find the first five terms of the infinite sequence whose nth term is given.
-

Accepted Answer

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

Solve the problem. -If the odds against a candidate winning an election are 5 to 9, then what is the probability that that candidate will win the election?

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

Find the sum of the geometric series. -4 - 8 + 16 - 32 + 64

Evaluate the expression. -

Evaluate the expression. -C(3, 1)

Solve. -How many ways can a president, vice-president, secretary, and treasurer be chosen from a club with 9 members?

Find all the terms of the finite sequence. -

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

Solve the problem. -Using the numerals 0 through 9, how many 5-digit serial numbers can be made if the first digit must be 0 or 1 and numerals may be repeated?

Find the mean for the sequence of numbers. -13 , 10 , -4 , 13 , -2

Determine if the given sequence could be an arithmetic sequence. -

Solve the problem using the idea of labeling. -In how many ways can 9 officers be assigned with 4 assigned to parking, 3 assigned to security, and 2 assigned to emergencies?

Identify the sequence as arithmetic, geometric, or neither. -

Find the indicated part of the arithmetic sequence. -Find the 17th term of the sequence that has a first term of 5 and a common difference of

Solve. -A baseball manager has 12 players of the same ability. How many 9 player starting lineups can he create?

Write a formula for the nth term of the infinite sequence. Do not use a recursion formula. -2 , 8 , 14 , 20 , 26 , . . .

Solve the problem. -A shirt company has 4 designs that can be made with short or long sleeves. There are 5 color patterns available. How many different types of shirts are available from this company?

Find the sum of the geometric series. -

Write the complete binomial expansion. -

Find the first five terms of the infinite sequence whose nth term is given. -

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

Solve the problem. -If the odds against a candidate winning an election are 5 to 9, then what is the probability that that candidate will win the election?

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

Find the sum of the geometric series. -4 - 8 + 16 - 32 + 64

Evaluate the expression. -

Evaluate the expression. -C(3, 1)

Solve. -How many ways can a president, vice-president, secretary, and treasurer be chosen from a club with 9 members?

Find all the terms of the finite sequence. -

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

Solve the problem. -Using the numerals 0 through 9, how many 5-digit serial numbers can be made if the first digit must be 0 or 1 and numerals may be repeated?

Find the mean for the sequence of numbers. -13 , 10 , -4 , 13 , -2

Determine if the given sequence could be an arithmetic sequence. -

Solve the problem using the idea of labeling. -In how many ways can 9 officers be assigned with 4 assigned to parking, 3 assigned to security, and 2 assigned to emergencies?

Identify the sequence as arithmetic, geometric, or neither. -

Find the indicated part of the arithmetic sequence. -Find the 17th term of the sequence that has a first term of 5 and a common difference of

Solve. -A baseball manager has 12 players of the same ability. How many 9 player starting lineups can he create?

Write a formula for the nth term of the infinite sequence. Do not use a recursion formula. -2 , 8 , 14 , 20 , 26 , . . .

Solve the problem. -A shirt company has 4 designs that can be made with short or long sleeves. There are 5 color patterns available. How many different types of shirts are available from this company?

Find the sum of the geometric series. -

Write the complete binomial expansion. -

Find the first five terms of the infinite sequence whose nth term is given. -

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