Question 1

Perform the indicated operations and simplify. ​   ​

Accepted Answer

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

Question 2

Based on data adapted from the National Center for Health Statistics, the height   in inches and age   in years for boys between 4 and 16 years of age are related according to   . To account for normal variability among boys, normal height for a given age is   of the height obtained from the equation. Find the inequality which represents the normal height range for a boy who is 5.5 years old. Round your answer to two decimal places. ​

Accepted Answer

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

Question 3

Perform the indicated operations and simplify. ​

Accepted Answer

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

Question 4

Evaluate   when   ,   ,   . Round your answer to four decimal places. ​

Accepted Answer

A) 74.9551 
B) 8,970.1259 
C) 1,249.2512 
D) 538.2076 
E) 149,502.0977 
A) 74.9551 
B) 8,970.1259 
C) 1,249.2512 
D) 538.2076 
E) 149,502.0977

Question 5

Choose the graph that represents this subset of the real numbers. ​   and   ​

Accepted Answer

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

Question 6

Factor the expression completely. ​   ​

Accepted Answer

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

Question 7

Simplify the expression by using the properties of radicals. Assume nonnegative variables. ​   ​

Accepted Answer

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

Question 8

Evaluate the following expression if it represents a real number. ​   ​

Accepted Answer

A) 0.016 
B) 64 
C) -0.016 
D) 256 
E) not a real number 
A) 0.016 
B) 64 
C) -0.016 
D) 256 
E) not a real number

Question 9

Use the properties of exponents and radicals to determine the value for x that makes the equation true. ​   ​

Accepted Answer

A)    
B) 7 
C)    
D)    
E) 6 
A)    
B) 7 
C)    
D)    
E) 6

Question 10

If $P is invested for n years at rate i (as a decimal), compounded annually, the future value that accrues is given by   , and the interest earned is   . Find S for the given P, n, and i. Round your answer to two decimal places. ​
$750 for 17 years at 11.25%
​

Accepted Answer

A) $3,843.69 
B) $5,110.48 
C) $4,129.16 
D) $5,343.69 
E) $4,593.69 
A) $3,843.69 
B) $5,110.48 
C) $4,129.16 
D) $5,343.69 
E) $4,593.69

Question 11

Perform the indicated operations and simplify. ​   ​

Accepted Answer

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

Question 12

Indicate whether the given expression is one or more of the following types of numbers: rational, irrational, integer, natural. ​
2)03
​

Accepted Answer

A) integer 
B) rational 
C) rational, integer 
D) rational, integer, natural 
E) irrational 
A) integer 
B) rational 
C) rational, integer 
D) rational, integer, natural 
E) irrational

Question 13

Use the following factorization formulas involving cubes to factor the polynomial below. ​
Factorizations with Cubes
Perfect cube   Perfect cube   Difference of two cubes   Sum of two cubes   ​   ​

Accepted Answer

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

Question 14

In many applications, it is often necessary to write expressions in the form   , where c is a constant and n is an integer. Write the expression below in this form. ​   ​

Accepted Answer

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

Question 15

Factor by grouping. ​   ​

Accepted Answer

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

Question 16

Suppose that a nurse needs 15 cc (cubic centimeters) of a 15.5% solution (that is, a solution that is 15.5% ingredient) of a certain medication, which must be obtained by mixing   cc of a 20% solution and   cc of a 5% solution. Express the total amount of the ingredient in the mixture in terms of   . ​

Accepted Answer

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

Question 17

Use the rules of exponents to simplify the expression so that only positive exponents remain. ​   ​

Accepted Answer

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

Question 18

The expression for the speed of blood through an artery of radius   at a distance d from the artery wall is given by   . Factor and simplify this expression.

Accepted Answer

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

Question 19

Indicate whether the following sets are equal. ​   ,   ​

Accepted Answer

A)    
B)    
A)    
B)

Question 20

A polynomial is an expression of form   , where   is a positive integer. For the polynomial   what is   ?
​

Accepted Answer

A) 0 
B) 9 
C) -14 
D) -13 
E) 5 
A) 0 
B) 9 
C) -14 
D) -13 
E) 5

Perform the indicated operations and simplify.

Perform the indicated operations and simplify.

Evaluate when , , . Round your answer to four decimal places.

Choose the graph that represents this subset of the real numbers. and

Factor the expression completely.

Simplify the expression by using the properties of radicals. Assume nonnegative variables.

Evaluate the following expression if it represents a real number.

Use the properties of exponents and radicals to determine the value for x that makes the equation true.

If $P is invested for n years at rate i (as a decimal), compounded annually, the future value that accrues is given by , and the interest earned is . Find S for the given P, n, and i. Round your answer to two decimal places. $750 for 17 years at 11.25%

Perform the indicated operations and simplify.

Indicate whether the given expression is one or more of the following types of numbers: rational, irrational, integer, natural. 2)03

Use the following factorization formulas involving cubes to factor the polynomial below. Factorizations with Cubes Perfect cube Perfect cube Difference of two cubes Sum of two cubes

In many applications, it is often necessary to write expressions in the form , where c is a constant and n is an integer. Write the expression below in this form.

Factor by grouping.

Suppose that a nurse needs 15 cc (cubic centimeters) of a 15.5% solution (that is, a solution that is 15.5% ingredient) of a certain medication, which must be obtained by mixing cc of a 20% solution and cc of a 5% solution. Express the total amount of the ingredient in the mixture in terms of .

Use the rules of exponents to simplify the expression so that only positive exponents remain.

The expression for the speed of blood through an artery of radius at a distance d from the artery wall is given by . Factor and simplify this expression.

Indicate whether the following sets are equal. ,

A polynomial is an expression of form , where is a positive integer. For the polynomial what is ?

Linear Equations and Functions

Quadratic and Other Special Functions

Matrices

Inequalities and Linear Programming

Exponential and Logarithmic Functions

Mathematics of Finance

Introduction to Probability

Further Topics in Probability; Data Description

Derivatives

Applications of Derivatives

Derivatives Continued

Indefinite Integrals

Definite Integrals: Techniques of Integration

Functions of Two or More Variables

Filters

Exam 1: Algebraic Concepts

Perform the indicated operations and simplify. ​ ​

Perform the indicated operations and simplify. ​

Evaluate when , , . Round your answer to four decimal places. ​

Choose the graph that represents this subset of the real numbers. ​ and ​

Factor the expression completely. ​ ​

Simplify the expression by using the properties of radicals. Assume nonnegative variables. ​ ​

Evaluate the following expression if it represents a real number. ​ ​

Use the properties of exponents and radicals to determine the value for x that makes the equation true. ​ ​

If $P is invested for n years at rate i (as a decimal), compounded annually, the future value that accrues is given by , and the interest earned is . Find S for the given P, n, and i. Round your answer to two decimal places. ​ $750 for 17 years at 11.25% ​

Perform the indicated operations and simplify. ​ ​

Indicate whether the given expression is one or more of the following types of numbers: rational, irrational, integer, natural. ​ 2)03 ​

Use the following factorization formulas involving cubes to factor the polynomial below. ​ Factorizations with Cubes Perfect cube Perfect cube Difference of two cubes Sum of two cubes ​ ​

In many applications, it is often necessary to write expressions in the form , where c is a constant and n is an integer. Write the expression below in this form. ​ ​

Factor by grouping. ​ ​

Suppose that a nurse needs 15 cc (cubic centimeters) of a 15.5% solution (that is, a solution that is 15.5% ingredient) of a certain medication, which must be obtained by mixing cc of a 20% solution and cc of a 5% solution. Express the total amount of the ingredient in the mixture in terms of . ​

Use the rules of exponents to simplify the expression so that only positive exponents remain. ​ ​

The expression for the speed of blood through an artery of radius at a distance d from the artery wall is given by . Factor and simplify this expression.

Indicate whether the following sets are equal. ​ , ​

A polynomial is an expression of form , where is a positive integer. For the polynomial what is ? ​

Linear Equations and Functions

Quadratic and Other Special Functions

Matrices

Inequalities and Linear Programming

Exponential and Logarithmic Functions

Mathematics of Finance

Introduction to Probability

Further Topics in Probability; Data Description

Derivatives

Applications of Derivatives

Derivatives Continued

Indefinite Integrals

Definite Integrals: Techniques of Integration

Functions of Two or More Variables

Filters

Perform the indicated operations and simplify.

Perform the indicated operations and simplify.

Evaluate when , , . Round your answer to four decimal places.

Choose the graph that represents this subset of the real numbers. and

Factor the expression completely.

Simplify the expression by using the properties of radicals. Assume nonnegative variables.

Evaluate the following expression if it represents a real number.

Use the properties of exponents and radicals to determine the value for x that makes the equation true.

If $P is invested for n years at rate i (as a decimal), compounded annually, the future value that accrues is given by , and the interest earned is . Find S for the given P, n, and i. Round your answer to two decimal places. $750 for 17 years at 11.25%

Perform the indicated operations and simplify.

Indicate whether the given expression is one or more of the following types of numbers: rational, irrational, integer, natural. 2)03

Use the following factorization formulas involving cubes to factor the polynomial below. Factorizations with Cubes Perfect cube Perfect cube Difference of two cubes Sum of two cubes

In many applications, it is often necessary to write expressions in the form , where c is a constant and n is an integer. Write the expression below in this form.

Factor by grouping.

Suppose that a nurse needs 15 cc (cubic centimeters) of a 15.5% solution (that is, a solution that is 15.5% ingredient) of a certain medication, which must be obtained by mixing cc of a 20% solution and cc of a 5% solution. Express the total amount of the ingredient in the mixture in terms of .

Use the rules of exponents to simplify the expression so that only positive exponents remain.

Indicate whether the following sets are equal. ,

A polynomial is an expression of form , where is a positive integer. For the polynomial what is ?