Question 1

Find the sum of the first 60 even natural numbers.

Accepted Answer

A)  3,748 
B)  3,599 
C)  3,706 
D)  3,660 
A)  3,748 
B)  3,599 
C)  3,706 
D)  3,660 D

Question 2

Write the first three terms of the geometric sequence with a = 3 and r = 3.

Accepted Answer

A)  3, 9, 27 
B)  3, 6, 9 
C)  3 , 9, 27 
A)  3, 9, 27 
B)  3, 6, 9 
C)  3 , 9, 27 C

Question 3

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

Accepted Answer

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

Question 4

In how many ways can 8 plates be placed on a table?

Accepted Answer

A)  8 
B)  64 
C)  40,320 
D)  256 
A)  8 
B)  64 
C)  40,320 
D)  256

Question 5

In one state lottery, anyone who picks the correct 5 numbers (in any order) wins. With the numbers 0 through 49 available, how many choices are possible?

Accepted Answer

A)  2,119,260 
B)  2,118,752 
C)  2,118,762 
D)  2,118,760 
A)  2,119,260 
B)  2,118,752 
C)  2,118,762 
D)  2,118,760

Question 6

Write the first five terms of the geometric sequence with a = - 3 and r = 4.

Accepted Answer

A)  -3, 12, -48, 192, -768 
B)  -3, -7, -11, -15, -19 
C)  -3, -12, -48, -192, -768 
A)  -3, 12, -48, 192, -768 
B)  -3, -7, -11, -15, -19 
C)  -3, -12, -48, -192, -768

Question 7

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

Accepted Answer

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

Question 8

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

Accepted Answer

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

Question 9

Find the   term in the expansion of   .

Accepted Answer

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

Question 10

Insert four arithmetic means between 18 and 43.

Accepted Answer

A)  23, 27, 33, 40 
B)  23, 28, 33, 38 
C)  23, 28, 32, 37 
D)  22, 28, 33, 39 
A)  23, 27, 33, 40 
B)  23, 28, 33, 38 
C)  23, 28, 32, 37 
D)  22, 28, 33, 39

Question 11

Find the   term in the expansion of   .

Accepted Answer

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

Question 12

Find the sum.

Accepted Answer

A)  178 
B)  166 
C)  189 
D)  195 
A)  178 
B)  166 
C)  189 
D)  195

Question 13

How many permutations does a combination lock have if each combination has three numbers, no two numbers of any combination are equal, and the lock has 25 numbers?

Accepted Answer

A)  13,806 
B)  13,757 
C)  13,797 
D)  13,800 
A)  13,806 
B)  13,757 
C)  13,797 
D)  13,800

Question 14

Insert two arithmetic means between 11 and 26.

Accepted Answer

A)  15, 22 
B)  17, 21 
C)  16, 21 
D)  16, 20 
A)  15, 22 
B)  17, 21 
C)  16, 21 
D)  16, 20

Question 15

The first three terms of an arithmetic sequence are 1, 5, 9, find the 10th term.

Accepted Answer

A)  13 
B)  35 
C)  41 
D)  37 
A)  13 
B)  35 
C)  41 
D)  37

Question 16

Insert four geometric means between 4 and 128.

Accepted Answer

A)  9, 15, 33, 63 
B)  10, 14, 34, 62 
C)  8, 16, 32, 64 
D)  8, 15, 33, 64 
A)  9, 15, 33, 63 
B)  10, 14, 34, 62 
C)  8, 16, 32, 64 
D)  8, 15, 33, 64

Question 17

Find the   term in the expansion of   .

Accepted Answer

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

Question 18

Find the   term in the expansion of   .

Accepted Answer

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

Question 19

Write the first four terms of the geometric sequence with a = 12 and a third term of 108.

Accepted Answer

A)  12, 36, 108, 324 
B)  13, 41, 109, 324 
C)  12, 37, 109, 323 
D)  7, 10, 13, 16 
A)  12, 36, 108, 324 
B)  13, 41, 109, 324 
C)  12, 37, 109, 323 
D)  7, 10, 13, 16

Question 20

Expand: (   -   ) 3

Accepted Answer

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

Find the sum of the first 60 even natural numbers.

Write the first three terms of the geometric sequence with a = 3 and r = 3.

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

In how many ways can 8 plates be placed on a table?

In one state lottery, anyone who picks the correct 5 numbers (in any order) wins. With the numbers 0 through 49 available, how many choices are possible?

Write the first five terms of the geometric sequence with a = - 3 and r = 4.

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

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

Find the term in the expansion of .

Insert four arithmetic means between 18 and 43.

Find the term in the expansion of .

Find the sum.

How many permutations does a combination lock have if each combination has three numbers, no two numbers of any combination are equal, and the lock has 25 numbers?

Insert two arithmetic means between 11 and 26.

The first three terms of an arithmetic sequence are 1, 5, 9, find the 10th term.

Insert four geometric means between 4 and 128.

Find the term in the expansion of .

Find the term in the expansion of .

Write the first four terms of the geometric sequence with a = 12 and a third term of 108.

Expand: ( - ) ³

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

Find the sum of the first 60 even natural numbers.

Write the first three terms of the geometric sequence with a = 3 and r = 3.

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

In how many ways can 8 plates be placed on a table?

In one state lottery, anyone who picks the correct 5 numbers (in any order) wins. With the numbers 0 through 49 available, how many choices are possible?

Write the first five terms of the geometric sequence with a = - 3 and r = 4.

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

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

Find the term in the expansion of .

Insert four arithmetic means between 18 and 43.

Find the term in the expansion of .

Find the sum.

How many permutations does a combination lock have if each combination has three numbers, no two numbers of any combination are equal, and the lock has 25 numbers?

Insert two arithmetic means between 11 and 26.

The first three terms of an arithmetic sequence are 1, 5, 9, find the 10th term.

Insert four geometric means between 4 and 128.

Find the term in the expansion of .

Find the term in the expansion of .

Write the first four terms of the geometric sequence with a = 12 and a third term of 108.

Expand: ( - ) 3

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. ( + ) ⁴

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

Expand: ( - ) ³