Question 1

Expand: (   +   ) 2

Accepted Answer

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

Question 2

Robert plans to go to dinner and see a movie. In how many ways can he arrange her evening if he has a choice of 4 movies and 3 restaurants?

Accepted Answer

A)  12 
B)  7 
C)  1 
D)  4 
A)  12 
B)  7 
C)  1 
D)  4

Question 3

Which of the following is the sample set for an experiment which involves tossing three coins?

Accepted Answer

A)  HHH, TTT 
B)  HHH, HHT, HTT, TTT 
C)  HHH, HHT, HTH, THH, TTT 
D)  HHH, HHT, HTH, THH, TTH, THT, HTT, TTT 
A)  HHH, TTT 
B)  HHH, HHT, HTT, TTT 
C)  HHH, HHT, HTH, THH, TTT 
D)  HHH, HHT, HTH, THH, TTH, THT, HTT, TTT

Question 4

The population of Bensville is decreasing by 10% each year. If its current population is 96, what will be the approximate population 6 years from now?

Accepted Answer

A)  51 
B)  45 
C)  37 
D)  56 
A)  51 
B)  45 
C)  37 
D)  56

Question 5

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 6

Find the sum.

Accepted Answer

A)  152 
B)  159 
C)  123 
D)  110 
A)  152 
B)  159 
C)  123 
D)  110

Question 7

Insert three geometric means ( two positive and one negative ) between - 84 and - 6,804.

Accepted Answer

A)  250, - 754, 754 
B)  252, - 755, 754 
C)  252, - 756, 2,268 
D)  253, 755, - 2,267 
A)  250, - 754, 754 
B)  252, - 755, 754 
C)  252, - 756, 2,268 
D)  253, 755, - 2,267

Question 8

Find the negative geometric mean between 3 and 21.

Accepted Answer

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

Question 9

A house appreciates by 6% each year. If the house is worth $77,000 today, how much will it be worth 15 years from now? Round your answer to the nearest cent.

Accepted Answer

A)  $184,541.99 
B)  $184,543.99 
C)  $184,534.98 
D)  $184,520.98 
A)  $184,541.99 
B)  $184,543.99 
C)  $184,534.98 
D)  $184,520.98

Question 10

Find the 50th term of the arithmetic sequence with a = - 8 and d = 4.

Accepted Answer

A)  146 
B)  202 
C)  188 
D)  159 
A)  146 
B)  202 
C)  188 
D)  159

Question 11

Use the binomial theorem to expand the expression. ( 3 x + 4 y )  3

Accepted Answer

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

Question 12

How many four-digit license plates can be manufactured? Note that there are ten choices - 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 - for each digit.

Accepted Answer

A)  100,000 
B)  72,000 
C)  10,000 
D)  30,000 
A)  100,000 
B)  72,000 
C)  10,000 
D)  30,000

Question 13

Use the binomial theorem to expand the expression. (   -   ) 4

Accepted Answer

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

Question 14

Find the sum of the infinite geometric sequence, if possible.

Accepted Answer

A)    
B)    
C)    
D)  No sum 
A)    
B)    
C)    
D)  No sum

Question 15

The first three terms of an arithmetic sequence are 23, 22, 21, find the 86th term.

Accepted Answer

A)  -62 
B)  -108 
C)  1,954 
D)  -63 
A)  -62 
B)  -108 
C)  1,954 
D)  -63

Question 16

Write the first five terms of the geometric sequence with a = - 2 and a fourth term of -54.

Accepted Answer

A)  -2, -3, -21, -51, -165 
B)  -2, -6, -18, -54, -162 
C)  -2, -5, -8, -11, -14 
D)  -2, 3, -16, 51, -162 
A)  -2, -3, -21, -51, -165 
B)  -2, -6, -18, -54, -162 
C)  -2, -5, -8, -11, -14 
D)  -2, 3, -16, 51, -162

Question 17

Find the sum of the infinite geometric sequence.

Accepted Answer

A)  S = 24 
B)  S = 48 
C)  S = 36 
D)  S = 32 
A)  S = 24 
B)  S = 48 
C)  S = 36 
D)  S = 32

Expand: ( + ) ²

Robert plans to go to dinner and see a movie. In how many ways can he arrange her evening if he has a choice of 4 movies and 3 restaurants?

Which of the following is the sample set for an experiment which involves tossing three coins?

The population of Bensville is decreasing by 10% each year. If its current population is 96, what will be the approximate population 6 years from now?

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

Find the sum.

Insert three geometric means ( two positive and one negative ) between - 84 and - 6,804.

Find the negative geometric mean between 3 and 21.

A house appreciates by 6% each year. If the house is worth $77,000 today, how much will it be worth 15 years from now? Round your answer to the nearest cent.

Find the 50th term of the arithmetic sequence with a = - 8 and d = 4.

Use the binomial theorem to expand the expression. ( 3 x + 4 y ) ³

How many four-digit license plates can be manufactured? Note that there are ten choices - 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 - for each digit.

Use the binomial theorem to expand the expression. ( - ) ⁴

Find the sum of the infinite geometric sequence, if possible.

The first three terms of an arithmetic sequence are 23, 22, 21, find the 86th term.

Write the first five terms of the geometric sequence with a = - 2 and a fourth term of -54.

Find the sum of the infinite geometric sequence.

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

Expand: ( + ) 2

Robert plans to go to dinner and see a movie. In how many ways can he arrange her evening if he has a choice of 4 movies and 3 restaurants?

Which of the following is the sample set for an experiment which involves tossing three coins?

The population of Bensville is decreasing by 10% each year. If its current population is 96, what will be the approximate population 6 years from now?

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

Find the sum.

Insert three geometric means ( two positive and one negative ) between - 84 and - 6,804.

Find the negative geometric mean between 3 and 21.

A house appreciates by 6% each year. If the house is worth $77,000 today, how much will it be worth 15 years from now? Round your answer to the nearest cent.

Find the 50th term of the arithmetic sequence with a = - 8 and d = 4.

Use the binomial theorem to expand the expression. ( 3 x + 4 y ) 3

How many four-digit license plates can be manufactured? Note that there are ten choices - 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 - for each digit.

Use the binomial theorem to expand the expression. ( - ) 4

Find the sum of the infinite geometric sequence, if possible.

The first three terms of an arithmetic sequence are 23, 22, 21, find the 86th term.

Write the first five terms of the geometric sequence with a = - 2 and a fourth term of -54.

Find the sum of the infinite geometric sequence.

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

Expand: ( + ) ²

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

Use the binomial theorem to expand the expression. ( 3 x + 4 y ) ³

Use the binomial theorem to expand the expression. ( - ) ⁴