Question 1

Simplify by combining like terms. ​   ​

Accepted Answer

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

Question 2

Use a calculator to approximate the indicated power. Round your answer to three decimal places. ​   ​

Accepted Answer

A) -205.111 
B) 205.111 
C) 70.728 
D) 594.823 
E) -70.728 
A) -205.111 
B) 205.111 
C) 70.728 
D) 594.823 
E) -70.728

Question 3

In calculus problems, the answers are frequently expected to be in a simple form with a radical instead of an exponent. Write the expression with radicals. ​   ​

Accepted Answer

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

Question 4

Perform the indicated operations and simplify. ​   ​

Accepted Answer

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

Question 5

Perform the indicated operations and simplify. ​   ​

Accepted Answer

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

Question 6

Use your calculator to approximate the following expression. ​   ​
Round your answer to eight decimal places.
​

Accepted Answer

A) 13.86247993 
B) 22.35879389 
C) 23.47254512 
D) 17.60534952 
E) 10.91533853 
A) 13.86247993 
B) 22.35879389 
C) 23.47254512 
D) 17.60534952 
E) 10.91533853

Question 7

Use the rules of exponents to simplify the expression. ​   ​

Accepted Answer

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

Question 8

Perform the indicated operations and simplify. ​   ​

Accepted Answer

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

Question 9

Find   if the universal set   . ​   ,   ​

Accepted Answer

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

Question 10

Perform the indicated operations and simplify. ​   ​

Accepted Answer

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

Question 11

Choose the proper   ,   , or   symbol to replace   . ​   ​

Accepted Answer

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

Question 12

From 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 11.25 years old. Round your answer to two decimal places. ​

Accepted Answer

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

Question 13

Factor by finding the common monomial factor. ​   ​

Accepted Answer

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

Question 14

The intensity of sound I (as a multiple of the average minimum threshold of hearing intensity) is related to the decibel level D (or loudness of sound) according to   . Express   using radical notation when   . ​

Accepted Answer

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

Question 15

Perform the indicated operations with expressions involving fractional exponents and then simplify. ​   ​

Accepted Answer

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

Question 16

Use   notation to indicate all containment relations between the following two sets. ​   ,   ​

Accepted Answer

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

Question 17

The Richter scale reading for an earthquake measures its intensity (as a multiple of some minimum intensity used for comparison). The intensity I corresponding to a Richter scale reading R is given by   . An earthquake occurred near San Francisco in 1923 that measured 6.9; another earthquake occurred in 1947 that measured 7.75. Calculate the ratio of these intensities (larger to smaller). Round your answer to six decimal places. ​

Accepted Answer

A) 0.141254 
B) 1.123188 
C) 13.279704 
D) 7.079458 
E) 0.010162 
A) 0.141254 
B) 1.123188 
C) 13.279704 
D) 7.079458 
E) 0.010162

Question 18

Write the following set a second way. ​   ​

Accepted Answer

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

Question 19

Factor the expression as a product of binomials. ​   ​

Accepted Answer

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

Question 20

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. ​
$1,700 for 7 years at 12%
​

Accepted Answer

A) $3,758.16 
B) $2,058.16 
C) $3,355.5 
D) $694.75 
E) $4,209.14 
A) $3,758.16 
B) $2,058.16 
C) $3,355.5 
D) $694.75 
E) $4,209.14

Simplify by combining like terms.

Use a calculator to approximate the indicated power. Round your answer to three decimal places.

In calculus problems, the answers are frequently expected to be in a simple form with a radical instead of an exponent. Write the expression with radicals.

Perform the indicated operations and simplify.

Perform the indicated operations and simplify.

Use your calculator to approximate the following expression. Round your answer to eight decimal places.

Use the rules of exponents to simplify the expression.

Perform the indicated operations and simplify.

Find if the universal set . ,

Perform the indicated operations and simplify.

Choose the proper , , or symbol to replace .

Factor by finding the common monomial factor.

The intensity of sound I (as a multiple of the average minimum threshold of hearing intensity) is related to the decibel level D (or loudness of sound) according to . Express using radical notation when .

Perform the indicated operations with expressions involving fractional exponents and then simplify. $Perform the indicated operations with expressions involving fractional exponents and then simplify. $

Use notation to indicate all containment relations between the following two sets. ,

Write the following set a second way.

Factor the expression as a product of binomials.

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. $1,700 for 7 years at 12%

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

Simplify by combining like terms. ​ ​

Use a calculator to approximate the indicated power. Round your answer to three decimal places. ​ ​

In calculus problems, the answers are frequently expected to be in a simple form with a radical instead of an exponent. Write the expression with radicals. ​ ​

Perform the indicated operations and simplify. ​ ​

Perform the indicated operations and simplify. ​ ​

Use your calculator to approximate the following expression. ​ ​ Round your answer to eight decimal places. ​

Use the rules of exponents to simplify the expression. ​ ​

Perform the indicated operations and simplify. ​ ​

Find if the universal set . ​ , ​

Perform the indicated operations and simplify. ​ ​

Choose the proper , , or symbol to replace . ​ ​

Factor by finding the common monomial factor. ​ ​

The intensity of sound I (as a multiple of the average minimum threshold of hearing intensity) is related to the decibel level D (or loudness of sound) according to . Express using radical notation when . ​

Perform the indicated operations with expressions involving fractional exponents and then simplify. ​ ​

Use notation to indicate all containment relations between the following two sets. ​ , ​

Write the following set a second way. ​ ​

Factor the expression as a product of binomials. ​ ​

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. ​ $1,700 for 7 years at 12% ​

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

Simplify by combining like terms.

Use a calculator to approximate the indicated power. Round your answer to three decimal places.

In calculus problems, the answers are frequently expected to be in a simple form with a radical instead of an exponent. Write the expression with radicals.

Perform the indicated operations and simplify.

Perform the indicated operations and simplify.

Use your calculator to approximate the following expression. Round your answer to eight decimal places.

Use the rules of exponents to simplify the expression.

Perform the indicated operations and simplify.

Find if the universal set . ,

Perform the indicated operations and simplify.

Choose the proper , , or symbol to replace .

Factor by finding the common monomial factor.

The intensity of sound I (as a multiple of the average minimum threshold of hearing intensity) is related to the decibel level D (or loudness of sound) according to . Express using radical notation when .

Perform the indicated operations with expressions involving fractional exponents and then simplify. $Perform the indicated operations with expressions involving fractional exponents and then simplify. $

Use notation to indicate all containment relations between the following two sets. ,

Write the following set a second way.

Factor the expression as a product of binomials.

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. $1,700 for 7 years at 12%