Question 1

Solve the equation   .Restrict your attention to the horizontal span of 0 to 10.Round your answer to two decimal places if necessary. ​

Accepted Answer

A)  8.07 
B)  6.36 
C)  5.38 
D)  7.13 
A)  8.07 
B)  6.36 
C)  5.38 
D)  7.13 D

Question 2

The equation   has the same solution(s) as the equation   .

Accepted Answer

A) True 
 B)False  False

Question 3

Solve the equation   .Restrict your attention to the horizontal span of 0 to 10.Round your answer to two decimal places if necessary. ​

Accepted Answer

A)  3.09 
B)  1.62 
C)  1.69 
D)  3.47 
A)  3.09 
B)  1.62 
C)  1.69 
D)  3.47 D

Question 4

There is one positive solution of   .Find it.Round your answer to two decimal places if necessary. ​

Accepted Answer

A)  0.42 
B)  1.73 
C)  3.67 
D)  -4 
A)  0.42 
B)  1.73 
C)  3.67 
D)  -4

Question 5

The solution(s) of the equation   can be found by locating the point(s) where the graph of   crosses the horizontal line determined by the equation   .

Accepted Answer

A) True 
 B)False

Question 6

The temperature T, in degrees Fahrenheit, of a cup of coffee t minutes after it is poured is given by ​   .
​
When does the temperature of the coffee reach 150 degrees? Round your answer to two decimal places if necessary.
​

Accepted Answer

A)  After 15.6 minutes 
B)  After 65.49 minutes 
C)  After 63.54 minutes 
D)  After 20.2 minutes 
A)  After 15.6 minutes 
B)  After 65.49 minutes 
C)  After 63.54 minutes 
D)  After 20.2 minutes

Question 7

Solve the equation   .Restrict your attention to the horizontal span of 0 to 5.Round your answer to two decimal places if necessary. ​

Accepted Answer

A)  1.47 
B)  0.33 
C)  0.46 
D)  1.97 
A)  1.47 
B)  0.33 
C)  0.46 
D)  1.97

Question 8

Solve the equation   .Restrict your attention to the horizontal span of 0 to 10.Round your answer to two decimal places if necessary. ​

Accepted Answer

A)  5.42 
B)  3.64 
C)  5.83 
D)  4.33 
A)  5.42 
B)  3.64 
C)  5.83 
D)  4.33

Question 9

Solve the equation   .Restrict your attention to the horizontal span of 0 to 5.Round your answer to two decimal places if necessary. ​

Accepted Answer

A)  4.87 
B)  3.14 
C)  2.69 
D)  3.99 
A)  4.87 
B)  3.14 
C)  2.69 
D)  3.99

Question 10

Solve the equation   .Restrict your attention to the horizontal span of 0 to 10.Round your answer to two decimal places if necessary. ​

Accepted Answer

A)  -3.23 
B)  -4.36 
C)  7.41 
D)  6.13 
A)  -3.23 
B)  -4.36 
C)  7.41 
D)  6.13

Question 11

The equation   has the same solution(s) as the equation   .

Accepted Answer

A) True 
 B)False

Question 12

The solution(s) of the equation   can be found by locating the point(s) where the graphs of   and   cross.

Accepted Answer

A) True 
 B)False

Question 13

Solve the equation   .Restrict your attention to the horizontal span of 0 to 10.Round your answer to two decimal places if necessary. ​

Accepted Answer

A)  5.37 
B)  1.79 
C)  2 
D)  1.54 
A)  5.37 
B)  1.79 
C)  2 
D)  1.54

Question 14

Solve the equation   .Restrict your attention to the horizontal span of 0 to 5. ​

Accepted Answer

A)  4.47 
B)  6.98 
C)  5.49 
D)  5.65 
A)  4.47 
B)  6.98 
C)  5.49 
D)  5.65

Question 15

The amount D, in milligrams, of a drug in the bloodstream t minutes after injection is given by   . ​
There are two times when there are 7 milligrams of the drug in the bloodstream.Find both times.Round your answer to two decimal places if necessary.

Accepted Answer

A)  There are never 7 milligrams of the drug in the blood. 
B)    and   
C)    and   
D)    and   
A)  There are never 7 milligrams of the drug in the blood. 
B)    and   
C)    and   
D)    and

Question 16

Solve the equation   .Restrict your attention to the horizontal span of 0 to 5.Round your answer to two decimal places if necessary. ​​

Accepted Answer

A)  40.83 
B)  39 
C)  5.14 
D)  3.66 
A)  40.83 
B)  39 
C)  5.14 
D)  3.66

Question 17

Linear equations cannot be solved using the crossing-graphs method.

Accepted Answer

A) True 
 B)False

Question 18

The profit P, in thousands of dollars, a manufacturer makes if I, measured in thousands, items are produced is given by   . ​
The formula is valid for up to 10 thousand items produced.What number of items should be produced to yield a profit of 6 thousand dollars? There are two solutions.Find both of them.Round your answers to two decimal places if necessary.

Accepted Answer

A)  That profit level cannot be achieved. 
B)  0.36 thousand and 9.31 thousand 
C)  1.44 thousand and 7.63 thousand 
D)  7.33 thousand and 8.10 thousand 
A)  That profit level cannot be achieved. 
B)  0.36 thousand and 9.31 thousand 
C)  1.44 thousand and 7.63 thousand 
D)  7.33 thousand and 8.10 thousand

Question 19

Solve the equation   .Restrict your attention to the horizontal span of 0 to 20.Round your answer to two decimal places if necessary. ​

Accepted Answer

A)  2.44 
B)  1.56 
C)  3.76 
D)  2.75 
A)  2.44 
B)  1.56 
C)  3.76 
D)  2.75

Question 20

There is one negative solution of   .Find it.Round your answer to two decimal places if necessary. ​

Accepted Answer

A)  0.42 
B)  -1 
C)  -2.94 
D)  -1.95 
A)  0.42 
B)  -1 
C)  -2.94 
D)  -1.95

Exam 8: Solving Nonlinear Equations

Solve the equation .Restrict your attention to the horizontal span of 0 to 10.Round your answer to two decimal places if necessary. ​

The equation has the same solution(s) as the equation .

Solve the equation .Restrict your attention to the horizontal span of 0 to 10.Round your answer to two decimal places if necessary. ​

There is one positive solution of .Find it.Round your answer to two decimal places if necessary. ​

The solution(s) of the equation can be found by locating the point(s) where the graph of crosses the horizontal line determined by the equation .

The temperature T, in degrees Fahrenheit, of a cup of coffee t minutes after it is poured is given by ​ . ​ When does the temperature of the coffee reach 150 degrees? Round your answer to two decimal places if necessary. ​

Solve the equation .Restrict your attention to the horizontal span of 0 to 5.Round your answer to two decimal places if necessary. ​

Solve the equation .Restrict your attention to the horizontal span of 0 to 10.Round your answer to two decimal places if necessary. ​

Solve the equation .Restrict your attention to the horizontal span of 0 to 5.Round your answer to two decimal places if necessary. ​

Solve the equation .Restrict your attention to the horizontal span of 0 to 10.Round your answer to two decimal places if necessary. ​

The equation has the same solution(s) as the equation .

The solution(s) of the equation can be found by locating the point(s) where the graphs of and cross.

Solve the equation .Restrict your attention to the horizontal span of 0 to 10.Round your answer to two decimal places if necessary. ​

Solve the equation .Restrict your attention to the horizontal span of 0 to 5. ​

The amount D, in milligrams, of a drug in the bloodstream t minutes after injection is given by . ​ There are two times when there are 7 milligrams of the drug in the bloodstream.Find both times.Round your answer to two decimal places if necessary.

Solve the equation .Restrict your attention to the horizontal span of 0 to 5.Round your answer to two decimal places if necessary. ​​

Linear equations cannot be solved using the crossing-graphs method.

Solve the equation .Restrict your attention to the horizontal span of 0 to 20.Round your answer to two decimal places if necessary. ​

There is one negative solution of .Find it.Round your answer to two decimal places if necessary. ​

Functions Given by Formulas

Functions Given by TableChas

Functions Given by Graphs

Functions Given by Words

Table and Trends

Graphs

Solving Linear Equations

Inequalities

Optimization

The Geometry of Lines

Linear Functions

Modeling Data with Linear Functions

Linear Regression

Systems of Equations

Exponential Growth and Decay

Constant Percentage Change

Modeling Exponential Data

Modeling Nearly Exponential Data

Logarithmic Functions

Logistic Functions

Power Functions

Modeling Data with Power Functions

Combining and Decomposing Functions

Quadratic Functions

Higher Degree Polynomials and Rational Functions

Velocity

Rates of Change for Other Functions

Estimating Rates of Change

Equations of Change Linear and Exponential Functions

Equations of Change Graphical Solutions

Filters

Solve the equation .Restrict your attention to the horizontal span of 0 to 10.Round your answer to two decimal places if necessary.

Solve the equation .Restrict your attention to the horizontal span of 0 to 10.Round your answer to two decimal places if necessary.

There is one positive solution of .Find it.Round your answer to two decimal places if necessary.

The temperature T, in degrees Fahrenheit, of a cup of coffee t minutes after it is poured is given by . When does the temperature of the coffee reach 150 degrees? Round your answer to two decimal places if necessary.

Solve the equation .Restrict your attention to the horizontal span of 0 to 5.Round your answer to two decimal places if necessary.

Solve the equation .Restrict your attention to the horizontal span of 0 to 10.Round your answer to two decimal places if necessary.

Solve the equation .Restrict your attention to the horizontal span of 0 to 5.Round your answer to two decimal places if necessary.

Solve the equation .Restrict your attention to the horizontal span of 0 to 10.Round your answer to two decimal places if necessary.

Solve the equation .Restrict your attention to the horizontal span of 0 to 10.Round your answer to two decimal places if necessary.

Solve the equation .Restrict your attention to the horizontal span of 0 to 5.

The amount D, in milligrams, of a drug in the bloodstream t minutes after injection is given by . There are two times when there are 7 milligrams of the drug in the bloodstream.Find both times.Round your answer to two decimal places if necessary.

Solve the equation .Restrict your attention to the horizontal span of 0 to 5.Round your answer to two decimal places if necessary.

Solve the equation .Restrict your attention to the horizontal span of 0 to 20.Round your answer to two decimal places if necessary.

There is one negative solution of .Find it.Round your answer to two decimal places if necessary.