Question 1

Show that

Accepted Answer

A)    
B)    
A)    
B)

Question 2

What is the arithmetic mean between 6 and 28?

Accepted Answer

A)  22 
B)  17 
C)  28 
D)  6 
E)  11 
A)  22 
B)  17 
C)  28 
D)  6 
E)  11

Question 3

Find the   term in the expansion of   .

Accepted Answer

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

Question 4

Use the binomial theorem to expand the expression. ( x + 3 y )  3

Accepted Answer

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

Question 5

An ordinary die is rolled once. What is the probability of rolling an odd number?

Accepted Answer

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

Question 6

Change the decimal to a common fraction. Then check your answer by doing a long division.

Accepted Answer

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

Question 7

The first three terms of an arithmetic sequence are -318, -306, -294, find the 119th term.

Accepted Answer

A)  1,734 
B)  1,098 
C)  -37,512 
D)  1,110 
A)  1,734 
B)  1,098 
C)  -37,512 
D)  1,110

Question 8

Find the sum of the first 8 terms of the geometric sequence 2, -8, 32, ...

Accepted Answer

The answer of Find the sum of the first 8...

Question 9

Refer to the following spinner. If the spinner is spun, what is the probability that the arrow will stop on green? Assume that the spinner never stops on a line.

Accepted Answer

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

Question 10

Find the sum of the first n terms of the following arithmetic sequence: Second term is 13, third term is 21; n = 17

Accepted Answer

A)  1,219 
B)  1,173 
C)  1,085 
D)  1,112 
A)  1,219 
B)  1,173 
C)  1,085 
D)  1,112

Question 11

The fourth partial sum of the sequence 6, 3, 1.5, 0.75, ... is __________.

Accepted Answer

A)    
B)    
C)  0.75 
D)  6 + 3 + 1.5 + 0.75 = 11.25 
A)    
B)    
C)  0.75 
D)  6 + 3 + 1.5 + 0.75 = 11.25

Question 12

Given an infinite sequence with a  n  = 2 n , find a 45.

Accepted Answer

A)  a 45 = 92 
B)  a 45 = 88 
C)  a 45 = 47 
D)  a 45 = 90 
A)  a 45 = 92 
B)  a 45 = 88 
C)  a 45 = 47 
D)  a 45 = 90

Question 13

How many seven-digit phone numbers are available in area code 837 if no phone number can begin with 0 and 1?

Accepted Answer

A)  1,000,000 
B)  8,000,000 
C)  4,500,000 
A)  1,000,000 
B)  8,000,000 
C)  4,500,000

Question 14

The third partial sum of the sequence 3, 9, 27, 81, ... is __________.

Accepted Answer

A)    
B)    
C)  3 + 9 + 27 = 39 
D)  3 + 9 + 27 + 81 = 120 
A)    
B)    
C)  3 + 9 + 27 = 39 
D)  3 + 9 + 27 + 81 = 120

Question 15

Find a sample space for an experiment of rolling a dice and picking a card suit.

Accepted Answer

A)  {(0, ♠), (1, ♠), (2, ♠), (3, ♠), (4, ♠), (5, ♠), (0, ♣), (1, ♣), (2, ♣), (3, ♣), (4, ♣), (5, ♣), (0, ♥), (1, ♥), (2, ♥), (3, ♥), (4, ♥), (5, ♥), (0, ♦), (1, ♦), (2, ♦), (3, ♦), (4, ♦), (5, ♦)} 
B)  {(1, ♠), (2, ♠), (3, ♠), (4, ♠), (5, ♠), (6, ♠) (1, ♣), (2, ♣), (3, ♣), (4, ♣), (5, ♣), (6, ♣) (1, ♥), (2, ♥), (3, ♥), (4, ♥), (5, ♥), (6, ♥) (1, ♦), (2, ♦), (3, ♦), (4, ♦), (5, ♦), (6, ♦)} 
C)  {(1, ♠), (2, ♠), (3, ♠), (4, ♠), (1, ♣), (2, ♣), (3, ♣), (4, ♣), (1, ♥), (2, ♥), (3, ♥), (4, ♥), (1, ♦), (2, ♦), (3, ♦), (4, ♦)} 
D)  {(1, ♠), (2, ♣), (3, ♥), (4, ♦)} 
A)  {(0, ♠), (1, ♠), (2, ♠), (3, ♠), (4, ♠), (5, ♠), (0, ♣), (1, ♣), (2, ♣), (3, ♣), (4, ♣), (5, ♣), (0, ♥), (1, ♥), (2, ♥), (3, ♥), (4, ♥), (5, ♥), (0, ♦), (1, ♦), (2, ♦), (3, ♦), (4, ♦), (5, ♦)} 
B)  {(1, ♠), (2, ♠), (3, ♠), (4, ♠), (5, ♠), (6, ♠) (1, ♣), (2, ♣), (3, ♣), (4, ♣), (5, ♣), (6, ♣) (1, ♥), (2, ♥), (3, ♥), (4, ♥), (5, ♥), (6, ♥) (1, ♦), (2, ♦), (3, ♦), (4, ♦), (5, ♦), (6, ♦)} 
C)  {(1, ♠), (2, ♠), (3, ♠), (4, ♠), (1, ♣), (2, ♣), (3, ♣), (4, ♣), (1, ♥), (2, ♥), (3, ♥), (4, ♥), (1, ♦), (2, ♦), (3, ♦), (4, ♦)} 
D)  {(1, ♠), (2, ♣), (3, ♥), (4, ♦)}

Question 16

Find the sum of the infinite geometric sequence.

Accepted Answer

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

Question 17

Find the first term of the arithmetic sequence with a common difference of 5 and whose 59th term is 281.

Accepted Answer

A)  4 
B)  13 
C)  - 9 
D)  - 7 
A)  4 
B)  13 
C)  - 9 
D)  - 7

Question 18

Paula has five ways to travel from New York to Chicago, three ways to travel from Chicago to Denver, and six ways to travel from Denver to Los Angeles. How many choices are available to Paula if she travels from New York to Los Angeles?

Accepted Answer

A)  97 
B)  92 
C)  105 
D)  90 
A)  97 
B)  92 
C)  105 
D)  90

Question 19

Given an infinite sequence with   find a 36.

Accepted Answer

A)  a 36 = 129 
B)  a 36 = 101 
C)  a 36 = 57 
D)  a 36 = 115 
A)  a 36 = 129 
B)  a 36 = 101 
C)  a 36 = 57 
D)  a 36 = 115

Question 20

Balls numbered from 1 to 38 are placed in a container and stirred. If one is drawn at random, what is the probability that the number is a prime number?

Accepted Answer

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

Show that

What is the arithmetic mean between 6 and 28?

Find the term in the expansion of .

Use the binomial theorem to expand the expression. ( x + 3 y ) ³

An ordinary die is rolled once. What is the probability of rolling an odd number?

Change the decimal to a common fraction. Then check your answer by doing a long division. $Change the decimal to a common fraction. Then check your answer by doing a long division.$

The first three terms of an arithmetic sequence are -318, -306, -294, find the 119th term.

Find the sum of the first 8 terms of the geometric sequence 2, -8, 32, ...

Refer to the following spinner. If the spinner is spun, what is the probability that the arrow will stop on green? Assume that the spinner never stops on a line.

Find the sum of the first n terms of the following arithmetic sequence: Second term is 13, third term is 21; n = 17

The fourth partial sum of the sequence 6, 3, 1.5, 0.75, ... is __________.

Given an infinite sequence with a _n = 2 n , find a ₄₅.

How many seven-digit phone numbers are available in area code 837 if no phone number can begin with 0 and 1?

The third partial sum of the sequence 3, 9, 27, 81, ... is __________.

Find a sample space for an experiment of rolling a dice and picking a card suit.

Find the sum of the infinite geometric sequence.

Find the first term of the arithmetic sequence with a common difference of 5 and whose 59th term is 281.

Paula has five ways to travel from New York to Chicago, three ways to travel from Chicago to Denver, and six ways to travel from Denver to Los Angeles. How many choices are available to Paula if she travels from New York to Los Angeles?

Given an infinite sequence with find a ₃₆.

Balls numbered from 1 to 38 are placed in a container and stirred. If one is drawn at random, what is the probability that the number is a prime number?

A Review of Basic Algebra

Graphs, Equations of Lines, and Functions

Systems of Linear Equations

Inequalities

Polynomials, Polynomial Functions, and Equations

Rational Expressions

Radical Expressions and Equations

Quadratic Equations and Functions; Inequalities; and Algebra, Composition, and Inverses of Functions

Exponential and Logarithmic Functions

Conic Sections and More Graphing

Filters

Exam 11: Miscellaneous Topics

Show that

What is the arithmetic mean between 6 and 28?

Find the term in the expansion of .

Use the binomial theorem to expand the expression. ( x + 3 y ) 3

An ordinary die is rolled once. What is the probability of rolling an odd number?

Change the decimal to a common fraction. Then check your answer by doing a long division.

The first three terms of an arithmetic sequence are -318, -306, -294, find the 119th term.

Find the sum of the first 8 terms of the geometric sequence 2, -8, 32, ...

Refer to the following spinner. If the spinner is spun, what is the probability that the arrow will stop on green? Assume that the spinner never stops on a line.

Find the sum of the first n terms of the following arithmetic sequence: Second term is 13, third term is 21; n = 17

The fourth partial sum of the sequence 6, 3, 1.5, 0.75, ... is __________.

Given an infinite sequence with a n = 2 n , find a 45.

How many seven-digit phone numbers are available in area code 837 if no phone number can begin with 0 and 1?

The third partial sum of the sequence 3, 9, 27, 81, ... is __________.

Find a sample space for an experiment of rolling a dice and picking a card suit.

Find the sum of the infinite geometric sequence.

Find the first term of the arithmetic sequence with a common difference of 5 and whose 59th term is 281.

Paula has five ways to travel from New York to Chicago, three ways to travel from Chicago to Denver, and six ways to travel from Denver to Los Angeles. How many choices are available to Paula if she travels from New York to Los Angeles?

Given an infinite sequence with find a 36.

Balls numbered from 1 to 38 are placed in a container and stirred. If one is drawn at random, what is the probability that the number is a prime number?

A Review of Basic Algebra

Graphs, Equations of Lines, and Functions

Systems of Linear Equations

Inequalities

Polynomials, Polynomial Functions, and Equations

Rational Expressions

Radical Expressions and Equations

Quadratic Equations and Functions; Inequalities; and Algebra, Composition, and Inverses of Functions

Exponential and Logarithmic Functions

Conic Sections and More Graphing

Filters

Use the binomial theorem to expand the expression. ( x + 3 y ) ³

Change the decimal to a common fraction. Then check your answer by doing a long division. $Change the decimal to a common fraction. Then check your answer by doing a long division.$

Given an infinite sequence with a _n = 2 n , find a ₄₅.

Given an infinite sequence with find a ₃₆.