Question 1

Solve the equation.
-

Accepted Answer

A)  {3} 
B)    
C)    
D)  {-3} 
A)  {3} 
B)    
C)    
D)  {-3}

Question 2

Solve the equation. Round your answer to three decimal places.
-

Accepted Answer

A)  1.358 
B)  57.733 
C)  65.772 
D)  1.525 
A)  1.358 
B)  57.733 
C)  65.772 
D)  1.525

Question 3

Simplify the expression.
-

Accepted Answer

A)  10t 
B)  t 
C)  1 
D)    
A)  10t 
B)  t 
C)  1 
D)

Question 4

Fill in the missing coordinate in each ordered pair so that the pair is a solution to the given equation.
-

Accepted Answer

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

Question 5

Solve the problem.
-What is the intensity in   of a noise measured at 54 decibels?     . (Express in scientific notation, and round to three significant digits.)

Accepted Answer

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

Question 6

Rewrite the expression as a sum or difference of logarithms or multiples of logarithms.
-

Accepted Answer

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

Question 7

Solve the problem.
-The decay of 978 mg of an isotope is given by   where t is time in years. Find the amount left after 14 years.

Accepted Answer

A)  625 mg 
B)  947 mg 
C)  605 mg 
D)  313 mg 
A)  625 mg 
B)  947 mg 
C)  605 mg 
D)  313 mg

Question 8

Solve the problem.
-Recycling, like all real processes, is not 100% efficient. Each time an aluminum can is recycled, a portion of the can becomes unrecoverable and thus "disappears" from future recycles. The fraction of an aluminum can that is
Reclaimable after n recycles is given by   The can has effectively "disappeared" when F < 0.1. How
Many times can the can be recycled before it "disappears"?

Accepted Answer

A)  9 
B)  14 
C)  11 
D)  13 
A)  9 
B)  14 
C)  11 
D)  13

Question 9

Solve the equation.
-

Accepted Answer

A)  {8} 
B)    
C)  {-3} 
D)  {3} 
A)  {8} 
B)    
C)  {-3} 
D)  {3}

Question 10

Solve the problem.
-How long must $5000 be in a bank at 8% compounded annually to become $11,658.19? (Round to the nearest year.)

Accepted Answer

A)  13 yr 
B)  11 yr 
C)  10 yr 
D)  12 yr 
A)  13 yr 
B)  11 yr 
C)  10 yr 
D)  12 yr

Question 11

Find the inverse of the function.
-

Accepted Answer

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

Question 12

Determine the number that can be used in place of the question mark to make the equation true.
-

Accepted Answer

A)    
B)  -4 
C)  3 
D)  4 
A)    
B)  -4 
C)  3 
D)  4

Question 13

Solve the problem.
-In chemistry, the pH of a substance is defined by   where   is the hydrogen ion concentration in moles per liter. Find the pH of a sample of lake water whose   oles per liter. (Round to the
Nearest tenth.)

Accepted Answer

A)  7.3 
B)  10.1 
C)  8.5 
D)  6.4 
A)  7.3 
B)  10.1 
C)  8.5 
D)  6.4

Question 14

Graph the function.
-

Accepted Answer

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

Question 15

Rewrite the expression as a single logarithm.
-

Accepted Answer

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

Question 16

Write the equation as an equivalent exponential equation.
-

Accepted Answer

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

Question 17

Solve the equation. If necessary, round to thousandths.
-

Accepted Answer

A)  4.012 
B)  -1.270 
C)  5.750 
D)  4.730 
A)  4.012 
B)  -1.270 
C)  5.750 
D)  4.730

Question 18

Use a graphing calculator to solve the equation. Round to two decimal places.
-

Accepted Answer

A)  392.55 
B)  8103.08 
C)  2.20 
D)  0.95 
A)  392.55 
B)  8103.08 
C)  2.20 
D)  0.95

Question 19

Solve the equation. Round to four decimal places.
-

Accepted Answer

A)  0.1584 
B)  -4.3769 
C)  -2.2196 
D)  -2.2081 
A)  0.1584 
B)  -4.3769 
C)  -2.2196 
D)  -2.2081

Question 20

Rewrite the expression as a single logarithm.
-

Accepted Answer

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

Solve the equation. -

Solve the equation. Round your answer to three decimal places. -

Simplify the expression. -

Fill in the missing coordinate in each ordered pair so that the pair is a solution to the given equation. -

Solve the problem. -What is the intensity in of a noise measured at 54 decibels? . (Express in scientific notation, and round to three significant digits.)

Rewrite the expression as a sum or difference of logarithms or multiples of logarithms. -

Solve the problem. -The decay of 978 mg of an isotope is given by where t is time in years. Find the amount left after 14 years.

Solve the equation. -

Solve the problem. -How long must $5000 be in a bank at 8% compounded annually to become $11,658.19? (Round to the nearest year.)

Find the inverse of the function. -

Determine the number that can be used in place of the question mark to make the equation true. -

Solve the problem. -In chemistry, the pH of a substance is defined by where is the hydrogen ion concentration in moles per liter. Find the pH of a sample of lake water whose oles per liter. (Round to the Nearest tenth.)

Graph the function. -

Rewrite the expression as a single logarithm. -

Write the equation as an equivalent exponential equation. -

Solve the equation. If necessary, round to thousandths. -

Use a graphing calculator to solve the equation. Round to two decimal places. -

Solve the equation. Round to four decimal places. -

Rewrite the expression as a single logarithm. -

Equations, Inequalities, and Modeling

Functions and Graphs

Polynomial and Rational Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Matrices and Determinants

The Conic Sections

Sequences, Series, and Probability

Basic Algebra Review

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Exam 4: Exponential and Logarithmic Functions

Solve the equation. -

Solve the equation. Round your answer to three decimal places. -

Simplify the expression. -

Fill in the missing coordinate in each ordered pair so that the pair is a solution to the given equation. -

Solve the problem. -What is the intensity in of a noise measured at 54 decibels? . (Express in scientific notation, and round to three significant digits.)

Rewrite the expression as a sum or difference of logarithms or multiples of logarithms. -

Solve the problem. -The decay of 978 mg of an isotope is given by where t is time in years. Find the amount left after 14 years.

Solve the equation. -

Solve the problem. -How long must $5000 be in a bank at 8% compounded annually to become $11,658.19? (Round to the nearest year.)

Find the inverse of the function. -

Determine the number that can be used in place of the question mark to make the equation true. -

Solve the problem. -In chemistry, the pH of a substance is defined by where is the hydrogen ion concentration in moles per liter. Find the pH of a sample of lake water whose oles per liter. (Round to the Nearest tenth.)

Graph the function. -

Rewrite the expression as a single logarithm. -

Write the equation as an equivalent exponential equation. -

Solve the equation. If necessary, round to thousandths. -

Use a graphing calculator to solve the equation. Round to two decimal places. -

Solve the equation. Round to four decimal places. -

Rewrite the expression as a single logarithm. -

Equations, Inequalities, and Modeling

Functions and Graphs

Polynomial and Rational Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Matrices and Determinants

The Conic Sections

Sequences, Series, and Probability

Basic Algebra Review

Filters