Question 1

Using a calculator, find to the nearest ten-thousandth.
-

Accepted Answer

A)  10.5198 
B)  47.9424 
C)  1.3533 
D)  52.9845 
A)  10.5198 
B)  47.9424 
C)  1.3533 
D)  52.9845

Question 2

Determine whether the function is one-to-one.
-f(x) = 6x - 6

Accepted Answer

A) True 
 B)False

Question 3

Solve the problem. When appropriate, round the solution to the nearest tenth. As needed, use the formula pH =  
-Find the pH if   .

Accepted Answer

A)  - 3.6 
B)  2.7 
C)  3.6 
D)  2.4 
A)  - 3.6 
B)  2.7 
C)  3.6 
D)  2.4

Question 4

Find the inverse of the relation.
-{(6, 0), (-4, 1), (-6, 2), (-8, 3)}

Accepted Answer

A)  {(1, 0), (3, -6), (6, -6), (1, 2)} 
B)  {(0, 6), (1, -4), (2, -6), (3, -8)} 
C)  {(1, 0), (0, -6), (6, -4), (1, 2)} 
A)  {(1, 0), (3, -6), (6, -6), (1, 2)} 
B)  {(0, 6), (1, -4), (2, -6), (3, -8)} 
C)  {(1, 0), (0, -6), (6, -4), (1, 2)}

Question 5

Solve.
-In the formula A = Iekt, A is the amount of radioactive material remaining from an initial amount I at a given time t and k is a negative constant determined by the nature of the material. A certain radioactive isotope
Decays at a rate of 0.3% annually. Determine the half-life of this isotope, to the nearest year.

Accepted Answer

A)  167 yr 
B)  100 yr 
C)  2 yr 
D)  231 yr 
A)  167 yr 
B)  100 yr 
C)  2 yr 
D)  231 yr

Question 6

Solve the equation.
-

Accepted Answer

A)  -0.048 
B)  3.135 
C)  -20.765 
D)  -0.473 
A)  -0.048 
B)  3.135 
C)  -20.765 
D)  -0.473

Question 7

Solve.
-  = x

Accepted Answer

A)  25 
B)  0 
C)  5 
D)  1 
A)  25 
B)  0 
C)  5 
D)  1

Question 8

Find f(x) and g(x) such that h(x) =  
-h(x) =

Accepted Answer

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

Question 9

Graph the relation using solid circles and the inverse using open circles.
-{(-1, 16), (-7, -2), (5, -11)}

Accepted Answer

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

Question 10

Find the common logarithm to four decimal places.
-log 1629

Accepted Answer

A)  7.8957 
B)  3.2119 
C)  7.3957 
D)  2.7119 
A)  7.8957 
B)  3.2119 
C)  7.3957 
D)  2.7119

Question 11

Graph the function.
-

Accepted Answer

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

Question 12

Solve.
-Assume the cost of a car is $17,000. With continuous compounding in effect,find the number of years it would take to double the cost of the car at an annual inflation rate of 7.9%. Round the answer to the nearest hundredth.

Accepted Answer

A)  132.08 
B)  123.30 
C)  1.23 
D)  8.77 
A)  132.08 
B)  123.30 
C)  1.23 
D)  8.77

Question 13

Find the logarithm.
-

Accepted Answer

A)  -64 
B)  64 
C)  -3 
D)  3 
A)  -64 
B)  64 
C)  -3 
D)  3

Question 14

Solve the problem. When appropriate, round the solution to the nearest tenth. As needed, use the formula pH =  
-Find the [H3O+] if the pH = 7 .4.

Accepted Answer

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

Question 15

Find the requested composition of functions.
-Given f(x) = 7x + 8 and g(x) = 5x - 1, find

Accepted Answer

A)  35x + 39 
B)  35x + 15 
C)  35x + 1 
D)  35x + 7 
A)  35x + 39 
B)  35x + 15 
C)  35x + 1 
D)  35x + 7

Question 16

Solve the equation.
-log ( 5 + x) - log (x - 3 ) = log 3

Accepted Answer

A)  7 
B)    
C)    
D)  - 7 
A)  7 
B)    
C)    
D)  - 7

Question 17

Solve the equation.
-

Accepted Answer

A)  125 
B)  1000 
C)  15 
D)  243 
A)  125 
B)  1000 
C)  15 
D)  243

Question 18

Determine whether the given function is one-to-one. If so, find a formula for the inverse.
-f(x) = 4x + 3

Accepted Answer

A)    
B)    
C)    
D)  Not a one-to-one function 
A)    
B)    
C)    
D)  Not a one-to-one function

Question 19

Solve the problem.
-Use the formula   , where the loudness of a sound in decibels is determined by I, the number of   produced by the soundwave, and   A certain noise measures 117 decibels. If the intensity is multiplied by 1000, how many decibels will the new noise measure?

Accepted Answer

A)  117,000 decibels 
B)  147 decibels 
C)  120 decibels 
D)  351 decibels 
A)  117,000 decibels 
B)  147 decibels 
C)  120 decibels 
D)  351 decibels

Question 20

Express as a single logarithm.
-

Accepted Answer

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

Using a calculator, find to the nearest ten-thousandth. -

Determine whether the function is one-to-one. -f(x) = 6x - 6

Solve the problem. When appropriate, round the solution to the nearest tenth. As needed, use the formula pH = -Find the pH if .

Find the inverse of the relation. -{(6, 0), (-4, 1), (-6, 2), (-8, 3)}

Solve the equation. -

Solve. - = x

Find f(x) and g(x) such that h(x) = -h(x) =

Graph the relation using solid circles and the inverse using open circles. -{(-1, 16), (-7, -2), (5, -11)}

Find the common logarithm to four decimal places. -log 1629

Graph the function. -

Solve. -Assume the cost of a car is $17,000. With continuous compounding in effect,find the number of years it would take to double the cost of the car at an annual inflation rate of 7.9%. Round the answer to the nearest hundredth.

Find the logarithm. -

Solve the problem. When appropriate, round the solution to the nearest tenth. As needed, use the formula pH = -Find the [H3O+] if the pH = 7 .4.

Find the requested composition of functions. -Given f(x) = 7x + 8 and g(x) = 5x - 1, find

Solve the equation. -log ( 5 + x) - log (x - 3 ) = log 3

Solve the equation. -

Determine whether the given function is one-to-one. If so, find a formula for the inverse. -f(x) = 4x + 3

Solve the problem. -Use the formula , where the loudness of a sound in decibels is determined by I, the number of produced by the soundwave, and A certain noise measures 117 decibels. If the intensity is multiplied by 1000, how many decibels will the new noise measure?

Express as a single logarithm. -

Introduction

Introduction to Real Numbers and Algebraic Expressions

Solving Equations and Inequalities

Graphs of Linear Equations

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Graphs, Functions, and Applications

Systems of Equations

More on Inequalities

Radical Expressions, Equations, and Functions

Quadratic Equations and Functions

Calculating Means and Medians of Data Sets

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Exam 13: Exponential Functions and Logarithmic Functions

Using a calculator, find to the nearest ten-thousandth. -

Determine whether the function is one-to-one. -f(x) = 6x - 6

Solve the problem. When appropriate, round the solution to the nearest tenth. As needed, use the formula pH = -Find the pH if .

Find the inverse of the relation. -{(6, 0), (-4, 1), (-6, 2), (-8, 3)}

Solve the equation. -

Solve. - = x

Find f(x) and g(x) such that h(x) = -h(x) =

Graph the relation using solid circles and the inverse using open circles. -{(-1, 16), (-7, -2), (5, -11)}

Find the common logarithm to four decimal places. -log 1629

Graph the function. -

Solve. -Assume the cost of a car is $17,000. With continuous compounding in effect,find the number of years it would take to double the cost of the car at an annual inflation rate of 7.9%. Round the answer to the nearest hundredth.

Find the logarithm. -

Solve the problem. When appropriate, round the solution to the nearest tenth. As needed, use the formula pH = -Find the [H3O+] if the pH = 7 .4.

Find the requested composition of functions. -Given f(x) = 7x + 8 and g(x) = 5x - 1, find

Solve the equation. -log ( 5 + x) - log (x - 3 ) = log 3

Solve the equation. -

Determine whether the given function is one-to-one. If so, find a formula for the inverse. -f(x) = 4x + 3

Solve the problem. -Use the formula , where the loudness of a sound in decibels is determined by I, the number of produced by the soundwave, and A certain noise measures 117 decibels. If the intensity is multiplied by 1000, how many decibels will the new noise measure?

Express as a single logarithm. -

Introduction

Introduction to Real Numbers and Algebraic Expressions

Solving Equations and Inequalities

Graphs of Linear Equations

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Graphs, Functions, and Applications

Systems of Equations

More on Inequalities

Radical Expressions, Equations, and Functions

Quadratic Equations and Functions

Calculating Means and Medians of Data Sets

Filters