Question 1

Find the domain of the function. ​   ​

Accepted Answer

A) Non-negative real numbers x B) All real numbers x C) All real numbers x such that x > -4 D) Non-negative real numbers x except x =4 E) All real numbers x such that x < 4 A) Non-negative real numbers x B) All real numbers x C) All real numbers x such that x > -4 D) Non-negative real numbers x except x =4 E) All real numbers x such that x < 4

Question 2

Write the number in scientific notation. ​
22,250.4
​

Accepted Answer

A) 2.22504 × 102 
B) 22,250.4 × 102 
C) 22,250.4 × 104 
D) 2.22504 × 104 
E) 2.22504 × 103 
A) 2.22504 × 102 
B) 22,250.4 × 102 
C) 22,250.4 × 104 
D) 2.22504 × 104 
E) 2.22504 × 103

Question 3

The graph shows the average salaries for senior high school principals from 1996 through 2008. ​   ​
Find the slope of the line segment connecting the points for the years 1998 and 2002.
​

Accepted Answer

A) -2394 
B) 2391 
C) -2391 
D) 2396 
E) 2392 
A) -2394 
B) 2391 
C) -2391 
D) 2396 
E) 2392

Question 4

Give a verbal description of the subset of real numbers represented by the following interval, and sketch the subset on the real number line. ​
[3, ∞)
​

Accepted Answer

A) [3, ∞) denotes the set of all real numbers less than 3.   
B) [3, ∞) denotes the set of all real numbers less than or equal to 3.   
C) [3, ∞) denotes the set of all real numbers greater than 3.   
D) [3, ∞) denotes the set of all real numbers equal to 3.   
E) [3, ∞) denotes the set of all real numbers greater than or equal to 3.   
A) [3, ∞) denotes the set of all real numbers less than 3.   
B) [3, ∞) denotes the set of all real numbers less than or equal to 3.   
C) [3, ∞) denotes the set of all real numbers greater than 3.   
D) [3, ∞) denotes the set of all real numbers equal to 3.   
E) [3, ∞) denotes the set of all real numbers greater than or equal to 3.

Question 5

Find the average rate of change of the function from x1 = 1 to x2 = 5. ​   ​

Accepted Answer

A) The average rate of change from x1 = 1 to x2 = 5 is 19. 
B) The average rate of change from x1 = 1 to x2 = 5 is 3. 
C) The average rate of change from x1 = 1 to x2 = 5 is -6. 
D) The average rate of change from x1 = 1 to x2 = 5 is -3. 
E) The average rate of change from x1 = 1 to x2 = 5 is 6. 
A) The average rate of change from x1 = 1 to x2 = 5 is 19. 
B) The average rate of change from x1 = 1 to x2 = 5 is 3. 
C) The average rate of change from x1 = 1 to x2 = 5 is -6. 
D) The average rate of change from x1 = 1 to x2 = 5 is -3. 
E) The average rate of change from x1 = 1 to x2 = 5 is 6.

Question 6

Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is odd. ​
(8, -7)
​

Accepted Answer

A) (8, 7) 
B) (8, -7) ​ 
C) (-8, -7) ​ 
D) (-8, 7) ​ 
E) None of the above 
A) (8, 7) 
B) (8, -7) ​ 
C) (-8, -7) ​ 
D) (-8, 7) ​ 
E) None of the above

Question 7

Evaluate the expression. ​
|-4| - |-8|
​

Accepted Answer

A) -12 
B) -4 
C) -10 
D) 4 
E) 32 
A) -12 
B) -4 
C) -10 
D) 4 
E) 32

Question 8

Simplify the radical expression.   ​

Accepted Answer

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

Question 9

The weekly cost C of producing units x in a manufacturing process is given by   .The number of units x produced in t hours is given by   . ​
Find the cost of the units produced in 6 hours.
​

Accepted Answer

A) 11,855 
B) 11,850 
C) 11,846 
D) 13,350 
E) 11,854 
A) 11,855 
B) 11,850 
C) 11,846 
D) 13,350 
E) 11,854

Question 10

Use algebraic tests to check the following for symmetry with respect to the axes and the origin.

Accepted Answer

A) No symmetry. 
B) Symmetric with respect to the y-axis. 
C) Symmetric with respect to the origin. 
D) Symmetric with respect to the x-axis. 
A) No symmetry. 
B) Symmetric with respect to the y-axis. 
C) Symmetric with respect to the origin. 
D) Symmetric with respect to the x-axis.

Question 11

The cost of sending an overnight package from Los Angeles to Miami is $26.40 for a package weighing up to but not including 1 pound and $3.25 for each additional pound or portion of a pound.A model for the total cost C (in dollars) of sending the package is ​
С = 26.40 + 3.25[[x]] , x > 0, where x is the weight in pounds.
​
Determine the cost of sending a package that weighs 5.25 pounds.
​

Accepted Answer

A) $45.65 
B) ​$44.65 
C) ​$43.65 
D) ​$46.65 
E) ​$42.65 
A) $45.65 
B) ​$44.65 
C) ​$43.65 
D) ​$46.65 
E) ​$42.65

Question 12

The spread of a contaminant is increasing in a circular pattern on the surface of a lake.The radius of the contaminant can be modeled by   , where r is the radius in meters and t is the time in hours since contamination. ​
Find a function that gives the area A of the circular lake in terms of the time since the spread began.
​

Accepted Answer

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

Question 13

Solve the multiple-angle equation. ​

Accepted Answer

A) ​​   , where n is an integer 
B) ​   , where n is an integer 
C) ​   , where n is an integer 
D)    , where n is an integer 
E)    , where n is an integer 
A) ​​   , where n is an integer 
B) ​   , where n is an integer 
C) ​   , where n is an integer 
D)    , where n is an integer 
E)    , where n is an integer

Question 14

Select the correct graph of the given function. ​   ​

Accepted Answer

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

Question 15

You are driving on a road that has a 5% uphill grade.This means that the slope of the road is   .Approximate the amount of vertical change in your position if you drive 400 feet. ​

Accepted Answer

A) 18 ft 
B) 21 ft 
C) 22 ft 
D) 19 ft 
E) 20 ft 
A) 18 ft 
B) 21 ft 
C) 22 ft 
D) 19 ft 
E) 20 ft

Question 16

Which of the following equation represents y as a function of x? ​

Accepted Answer

A) y2 = 9 - x 
B) y3 = x + 9 
C) y2 = x + 9 
D) x2 + y = 9 
E) x2 + y2 = 9 
A) y2 = 9 - x 
B) y3 = x + 9 
C) y2 = x + 9 
D) x2 + y = 9 
E) x2 + y2 = 9

Question 17

Find ( f − g )(x). ​

Accepted Answer

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

Question 18

Solve the following equation. ​   ​

Accepted Answer

A) ​   , where n is an integer 
B) ​   , where n is an integer 
C) ​   , where n is an integer 
D) ​   , where n is an integer 
E) ​   , where n is an integer 
A) ​   , where n is an integer 
B) ​   , where n is an integer 
C) ​   , where n is an integer 
D) ​   , where n is an integer 
E) ​   , where n is an integer

Question 19

Find the zeros of the function algebraically. ​   ​

Accepted Answer

A) x = 0, 16 
B)    
C)    
D)    
E)    
A) x = 0, 16 
B)    
C)    
D)    
E)

Question 20

Evaluate the expression. |7 - 8|

Accepted Answer

A) 1 
B) 15 
C) 56 
D) -1 
E) -15 
A) 1 
B) 15 
C) 56 
D) -1 
E) -15

Find the domain of the function.

Write the number in scientific notation. 22,250.4

The graph shows the average salaries for senior high school principals from 1996 through 2008. Find the slope of the line segment connecting the points for the years 1998 and 2002.

Give a verbal description of the subset of real numbers represented by the following interval, and sketch the subset on the real number line. [3, ∞)

Find the average rate of change of the function from x₁ = 1 to x₂ = 5.

Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is odd. (8, -7)

Evaluate the expression. |-4| - |-8|

Simplify the radical expression.

The weekly cost C of producing units x in a manufacturing process is given by .The number of units x produced in t hours is given by . Find the cost of the units produced in 6 hours.

Use algebraic tests to check the following for symmetry with respect to the axes and the origin.

Solve the multiple-angle equation.

Select the correct graph of the given function.

You are driving on a road that has a 5% uphill grade.This means that the slope of the road is .Approximate the amount of vertical change in your position if you drive 400 feet.

Which of the following equation represents y as a function of x?

Find ( f − g )(x).

Solve the following equation.

Find the zeros of the function algebraically.

Evaluate the expression. |7 - 8|

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Filters

Exam 7: Prerequisites

Find the domain of the function. ​ ​

Write the number in scientific notation. ​ 22,250.4 ​

The graph shows the average salaries for senior high school principals from 1996 through 2008. ​ ​ Find the slope of the line segment connecting the points for the years 1998 and 2002. ​

Give a verbal description of the subset of real numbers represented by the following interval, and sketch the subset on the real number line. ​ [3, ∞) ​

Find the average rate of change of the function from x1 = 1 to x2 = 5. ​ ​

Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is odd. ​ (8, -7) ​

Evaluate the expression. ​ |-4| - |-8| ​

Simplify the radical expression. ​

The weekly cost C of producing units x in a manufacturing process is given by .The number of units x produced in t hours is given by . ​ Find the cost of the units produced in 6 hours. ​

Use algebraic tests to check the following for symmetry with respect to the axes and the origin.

Solve the multiple-angle equation. ​

Select the correct graph of the given function. ​ ​

You are driving on a road that has a 5% uphill grade.This means that the slope of the road is .Approximate the amount of vertical change in your position if you drive 400 feet. ​

Which of the following equation represents y as a function of x? ​

Find ( f − g )(x). ​

Solve the following equation. ​ ​

Find the zeros of the function algebraically. ​ ​

Evaluate the expression. |7 - 8|

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Filters

Find the domain of the function.

Write the number in scientific notation. 22,250.4

The graph shows the average salaries for senior high school principals from 1996 through 2008. Find the slope of the line segment connecting the points for the years 1998 and 2002.

Give a verbal description of the subset of real numbers represented by the following interval, and sketch the subset on the real number line. [3, ∞)

Find the average rate of change of the function from x₁ = 1 to x₂ = 5.

Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is odd. (8, -7)

Evaluate the expression. |-4| - |-8|

Simplify the radical expression.

The weekly cost C of producing units x in a manufacturing process is given by .The number of units x produced in t hours is given by . Find the cost of the units produced in 6 hours.

Solve the multiple-angle equation.

Select the correct graph of the given function.

You are driving on a road that has a 5% uphill grade.This means that the slope of the road is .Approximate the amount of vertical change in your position if you drive 400 feet.

Which of the following equation represents y as a function of x?

Find ( f − g )(x).

Solve the following equation.

Find the zeros of the function algebraically.