Question 1

Rewrite the expression as a single logarithm and simplify.
-

Accepted Answer

A)  2 
B)    
C)  10 
D)    
E)  None of these 
A)  2 
B)    
C)  10 
D)    
E)  None of these A

Question 2

Determine which of the following graphs, if any, represents a one-to-one function.
I  
II  
III

Accepted Answer

A)  I only 
B)  II only 
C)  III only 
D)  I and III 
E)  None of these 
A)  I only 
B)  II only 
C)  III only 
D)  I and III 
E)  None of these B

Question 3

The function   is a model of the exponential population growth of house mice, where t is time in years, and y is the population of the mice. Predict the population of the mice after 8 months.

Accepted Answer

A)  9 mice 
B)  32 mice 
C)  8 mice 
D)  64 mice 
E)  None of these 
A)  9 mice 
B)  32 mice 
C)  8 mice 
D)  64 mice 
E)  None of these D

Question 4

Imagine graphing the four functions on the same coordinate system.
  For which of these functions do the output values increase fastest?

Accepted Answer

A)  I 
B)  II 
C)  III 
D)  IV 
E)  They increase at the same rate. 
A)  I 
B)  II 
C)  III 
D)  IV 
E)  They increase at the same rate.

Question 5

If  And  , find

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of these 
A)    
B)    
C)    
D)    
E)  None of these

Question 6

The intensity of sound from a swarm of bees is   . Find the loudness in decibels. Round to the nearest whole number.

Accepted Answer

A)  75 decibels 
B)  76 decibels 
C)  73 decibels 
D)  74 decibels 
E)  None of these 
A)  75 decibels 
B)  76 decibels 
C)  73 decibels 
D)  74 decibels 
E)  None of these

Question 7

$10,000 is invested at an annual interest rate of 7% for 5 years. Find the future value of the investment, rounded to the nearest hundredth, if the interest is compounded monthly.

Accepted Answer

A)  $14,176.25 
B)  $14,176.26 
C)  $99,508.86 
D)  $99,508.87 
E)  None of these 
A)  $14,176.25 
B)  $14,176.26 
C)  $99,508.86 
D)  $99,508.87 
E)  None of these

Question 8

Find  If  And

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of these 
A)    
B)    
C)    
D)    
E)  None of these

Question 9

The loudness of normal conversation is 62 decibels. Find the intensity of sound in watts per square meter. Round the mantissa to the nearest tenth.

Accepted Answer

A)    
B)    
C)    
D)    
E)  none of these 
A)    
B)    
C)    
D)    
E)  none of these

Question 10

Use  And  To represent the range of   by using interval notation.

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of these 
A)    
B)    
C)    
D)    
E)  None of these

Question 11

is between which two numbers?

Accepted Answer

A)  1 and 2 
B)  3 and 4 
C)  2 and 3 
D)  4 and 5 
E)  None of these 
A)  1 and 2 
B)  3 and 4 
C)  2 and 3 
D)  4 and 5 
E)  None of these

Question 12

Use   and   to find

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of these 
A)    
B)    
C)    
D)    
E)  None of these

Question 13

If $5000 is invested at an annual interest rate of 7% compounded 365 times per year, find the time in years and months when the future value is $7500. Round up to the nearest month.

Accepted Answer

A)  5 years 10 months 
B)  5 years 9 months 
C)  5 years 8 months 
D)  5 years 7 months 
E)  None of these 
A)  5 years 10 months 
B)  5 years 9 months 
C)  5 years 8 months 
D)  5 years 7 months 
E)  None of these

Question 14

Use the power rule to rewrite the expression as a product and simplify as much as possible.
-

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of these 
A)    
B)    
C)    
D)    
E)  None of these

Question 15

Rewrite the expression as a single logarithm and simplify as much as possible.
-

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of these 
A)    
B)    
C)    
D)    
E)  None of these

Question 16

The pH of a solution is 9.4. Find the hydronium ion concentration in moles per liter. Use scientific notation and round the mantissa to the nearest tenth.

Accepted Answer

A)    
B)    
C)    
D)    
E)  none of these 
A)    
B)    
C)    
D)    
E)  none of these

Question 17

Use the power rule to rewrite the expression as a product and simplify as much as possible.
-

Accepted Answer

A)    
B)    
C)  7 
D)    
E)  None of these 
A)    
B)    
C)  7 
D)    
E)  None of these

Question 18

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of these 
A)    
B)    
C)    
D)    
E)  None of these

Question 19

Use  And  To find

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of these 
A)    
B)    
C)    
D)    
E)  None of these

Question 20

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of these 
A)    
B)    
C)    
D)    
E)  None of these

Rewrite the expression as a single logarithm and simplify. -

Determine which of the following graphs, if any, represents a one-to-one function. I II III

The function is a model of the exponential population growth of house mice, where t is time in years, and y is the population of the mice. Predict the population of the mice after 8 months.

Imagine graphing the four functions on the same coordinate system. For which of these functions do the output values increase fastest?

If And , find

The intensity of sound from a swarm of bees is . Find the loudness in decibels. Round to the nearest whole number.

$10,000 is invested at an annual interest rate of 7% for 5 years. Find the future value of the investment, rounded to the nearest hundredth, if the interest is compounded monthly.

Find If And

The loudness of normal conversation is 62 decibels. Find the intensity of sound in watts per square meter. Round the mantissa to the nearest tenth.

Use And To represent the range of by using interval notation.

is between which two numbers?

Use and to find

If $5000 is invested at an annual interest rate of 7% compounded 365 times per year, find the time in years and months when the future value is $7500. Round up to the nearest month.

Use the power rule to rewrite the expression as a product and simplify as much as possible. -

Rewrite the expression as a single logarithm and simplify as much as possible. -

The pH of a solution is 9.4. Find the hydronium ion concentration in moles per liter. Use scientific notation and round the mantissa to the nearest tenth.

Use the power rule to rewrite the expression as a product and simplify as much as possible. -

Use And To find

Fundamentals of Algebra

Polynomials and Absolute Value

Relations and Functions

Systems of Linear Equations

Rational Expressions, Equations and Functions

Radical Expressions, Equations and Functions

Quadratic Expressions, Equations and Functions

Conic Sections Systems of Non-Linear Equations

Sequences, Series and the Binomial Theorem

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Exam 8: Exponential and Logarithmic Expressions, Equations and Functions

Rewrite the expression as a single logarithm and simplify. -

Determine which of the following graphs, if any, represents a one-to-one function. I II III

The function is a model of the exponential population growth of house mice, where t is time in years, and y is the population of the mice. Predict the population of the mice after 8 months.

Imagine graphing the four functions on the same coordinate system. For which of these functions do the output values increase fastest?

If And , find

The intensity of sound from a swarm of bees is . Find the loudness in decibels. Round to the nearest whole number.

$10,000 is invested at an annual interest rate of 7% for 5 years. Find the future value of the investment, rounded to the nearest hundredth, if the interest is compounded monthly.

Find If And

The loudness of normal conversation is 62 decibels. Find the intensity of sound in watts per square meter. Round the mantissa to the nearest tenth.

Use And To represent the range of by using interval notation.

is between which two numbers?

Use and to find

If $5000 is invested at an annual interest rate of 7% compounded 365 times per year, find the time in years and months when the future value is $7500. Round up to the nearest month.

Use the power rule to rewrite the expression as a product and simplify as much as possible. -

Rewrite the expression as a single logarithm and simplify as much as possible. -

The pH of a solution is 9.4. Find the hydronium ion concentration in moles per liter. Use scientific notation and round the mantissa to the nearest tenth.

Use the power rule to rewrite the expression as a product and simplify as much as possible. -

Use And To find

Fundamentals of Algebra

Polynomials and Absolute Value

Relations and Functions

Systems of Linear Equations

Rational Expressions, Equations and Functions

Radical Expressions, Equations and Functions

Quadratic Expressions, Equations and Functions

Conic Sections Systems of Non-Linear Equations

Sequences, Series and the Binomial Theorem

Filters