Question 1

Evaluate    when r = -1 and s = -2. ​

Accepted Answer

A) 14 
B) -56 
C) 38,416 
D) -14 
E) -112 
A) 14 
B) -56 
C) 38,416 
D) -14 
E) -112

Question 2

Find the slope and y-intercept (if possible) of the equation of the line.Select the correct answer for the line. ​   ​

Accepted Answer

A) ​   m = -1
Y-intercept: (0, 3) 
B)    m = 1
Y-intercept: (0, -3) 
C)    ​ m is undefined.y-intercept: (0, 3) 
D) ​   m = 3
Y-intercept: (0, 3) 
E) ​   m = -3
Y-intercept: (0, -3) 
A) ​   m = -1
Y-intercept: (0, 3) 
B)    m = 1
Y-intercept: (0, -3) 
C)    ​ m is undefined.y-intercept: (0, 3) 
D) ​   m = 3
Y-intercept: (0, 3) 
E) ​   m = -3
Y-intercept: (0, -3)

Question 3

Use the intercept form to find the equation of the line with the given intercepts.The intercept form of the equation of a line with intercepts (a, 0) and (0, b) is ​   ​
​
X-intercept: (   , 0)
Y-intercept:   ​
​

Accepted Answer

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

Question 4

Write the number in scientific notation. 259,000,000

Accepted Answer

A) 2.59 × 10-6 
B) 2.59 × 107 
C) 2.59 × 106 
D) 2.59 × 10-8 
E) 2.59 × 108 
A) 2.59 × 10-6 
B) 2.59 × 107 
C) 2.59 × 106 
D) 2.59 × 10-8 
E) 2.59 × 108

Question 5

The research and development department of an automobile manufacturer has determined that when a driver is required to stop quickly to avoid an accident, the distance (in feet) the car travels during the driver's reaction time is given by   , where x is the speed of the car in miles per hour.The distance (in feet) traveled while the driver is braking is given by   .Find the function that represents the total stopping distance T. ​

Accepted Answer

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

Question 6

Consider the functions   and   . ​
Find   .
​

Accepted Answer

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

Question 7

Use the graph of   to write an equation for the function whose graph is shown. ​   ​

Accepted Answer

A) ​   
B)    
C)    
D)    
E) None of the above 
A) ​   
B)    
C)    
D)    
E) None of the above

Question 8

Determine which of the following point lies on the graph of the equation. ​   ​

Accepted Answer

A) (6, 0) 
B) (7, 6) 
C) (6, 8) ​ 
D) (6, 7) 
A) (6, 0) 
B) (7, 6) 
C) (6, 8) ​ 
D) (6, 7)

Question 9

Evaluate the indicated function for   and   . ​   ​
​

Accepted Answer

A) 48 
B) 39 
C) 9 
D) 0 
E) -39 
A) 48 
B) 39 
C) 9 
D) 0 
E) -39

Question 10

​Find the zeros of the function algebraically. ​   ​

Accepted Answer

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

Question 11

The monthly cost C of running the machinery in a factory for t hours is given by ​   The number of hours t needed to produce x products is given by   .
Find the equation representing the cost C of manufacturing x products.

Accepted Answer

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

Question 12

Write the number in scientific notation. ​
One micron (millionth of a meter): 0.00001937 inch.
​

Accepted Answer

A) 1.937 × 102 in 
B) 0.00001937 × 104 in 
C) 1.937 × 10-5 in 
D) 1.937 × 103 in 
E) 1.937 × 10-4 in 
A) 1.937 × 102 in 
B) 0.00001937 × 104 in 
C) 1.937 × 10-5 in 
D) 1.937 × 103 in 
E) 1.937 × 10-4 in

Question 13

Select the correct graph of the given function. ​   ​

Accepted Answer

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

Question 14

Write the standard form of the equation of the circle with the given characteristics. endpoints of a diameter: (3, 4), (7, 8)

Accepted Answer

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

Question 15

Use the graph of   to write an equation for the function whose graph is shown. ​
​   ​

Accepted Answer

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

Question 16

Use absolute value notation to describe the situation. ​
The distance between x and 12 is no more than 5.
​

Accepted Answer

A) |x - 12| ≥ 5 B) |x - 12| > 5 C) |x - 12| ≤ 5 D) |x - 12| = 5 E) |x - 12| < 5 A) |x - 12| ≥ 5 B) |x - 12| > 5 C) |x - 12| ≤ 5 D) |x - 12| = 5 E) |x - 12| < 5

Question 17

Evaluate the following expression. ​   ​

Accepted Answer

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

Question 18

Tell where the function is decreasing. ​   ​

Accepted Answer

A)    
B)    
C) always increasing 
D) always constant 
E) always decreasing 
A)    
B)    
C) always increasing 
D) always constant 
E) always decreasing

Question 19

Select the graph of the function. ​   ​

Accepted Answer

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

Question 20

Find the slope-intercept form of the equation of the line passing through the points.Select the correct answer for the line. ​   ​

Accepted Answer

A) y =   x+1   
B) y =   x-6   
C) y =   x-2   
D) y =   x-1   
E) y = -   x-2   
A) y =   x+1   
B) y =   x-6   
C) y =   x-2   
D) y =   x-1   
E) y = -   x-2

Evaluate when r = -1 and s = -2.

Find the slope and y-intercept (if possible) of the equation of the line.Select the correct answer for the line.

Use the intercept form to find the equation of the line with the given intercepts.The intercept form of the equation of a line with intercepts (a, 0) and (0, b) is X-intercept: ( , 0) Y-intercept:

Write the number in scientific notation. 259,000,000

Consider the functions and . Find .

Use the graph of to write an equation for the function whose graph is shown.

Determine which of the following point lies on the graph of the equation.

Evaluate the indicated function for and .

Find the zeros of the function algebraically.

The monthly cost C of running the machinery in a factory for t hours is given by The number of hours t needed to produce x products is given by . Find the equation representing the cost C of manufacturing x products.

Write the number in scientific notation. One micron (millionth of a meter): 0.00001937 inch.

Select the correct graph of the given function.

Write the standard form of the equation of the circle with the given characteristics. endpoints of a diameter: (3, 4), (7, 8)

Use the graph of to write an equation for the function whose graph is shown.

Use absolute value notation to describe the situation. The distance between x and 12 is no more than 5.

Evaluate the following expression.

Tell where the function is decreasing.

Select the graph of the function.

Find the slope-intercept form of the equation of the line passing through the points.Select the correct answer for the line.

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Filters

Exam 7: Prerequisites

Evaluate when r = -1 and s = -2. ​

Find the slope and y-intercept (if possible) of the equation of the line.Select the correct answer for the line. ​ ​

Use the intercept form to find the equation of the line with the given intercepts.The intercept form of the equation of a line with intercepts (a, 0) and (0, b) is ​ ​ ​ X-intercept: ( , 0) Y-intercept: ​ ​

Write the number in scientific notation. 259,000,000

Consider the functions and . ​ Find . ​

Use the graph of to write an equation for the function whose graph is shown. ​ ​

Determine which of the following point lies on the graph of the equation. ​ ​

Evaluate the indicated function for and . ​ ​ ​

​Find the zeros of the function algebraically. ​ ​

The monthly cost C of running the machinery in a factory for t hours is given by ​ The number of hours t needed to produce x products is given by . Find the equation representing the cost C of manufacturing x products.

Write the number in scientific notation. ​ One micron (millionth of a meter): 0.00001937 inch. ​

Select the correct graph of the given function. ​ ​

Write the standard form of the equation of the circle with the given characteristics. endpoints of a diameter: (3, 4), (7, 8)

Use the graph of to write an equation for the function whose graph is shown. ​ ​ ​

Use absolute value notation to describe the situation. ​ The distance between x and 12 is no more than 5. ​

Evaluate the following expression. ​ ​

Tell where the function is decreasing. ​ ​

Select the graph of the function. ​ ​

Find the slope-intercept form of the equation of the line passing through the points.Select the correct answer for the line. ​ ​

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Filters

Evaluate when r = -1 and s = -2.

Find the slope and y-intercept (if possible) of the equation of the line.Select the correct answer for the line.

Use the intercept form to find the equation of the line with the given intercepts.The intercept form of the equation of a line with intercepts (a, 0) and (0, b) is X-intercept: ( , 0) Y-intercept:

Consider the functions and . Find .

Use the graph of to write an equation for the function whose graph is shown.

Determine which of the following point lies on the graph of the equation.

Evaluate the indicated function for and .

Find the zeros of the function algebraically.

The monthly cost C of running the machinery in a factory for t hours is given by The number of hours t needed to produce x products is given by . Find the equation representing the cost C of manufacturing x products.

Write the number in scientific notation. One micron (millionth of a meter): 0.00001937 inch.

Select the correct graph of the given function.

Use the graph of to write an equation for the function whose graph is shown.

Use absolute value notation to describe the situation. The distance between x and 12 is no more than 5.

Evaluate the following expression.

Tell where the function is decreasing.

Select the graph of the function.

Find the slope-intercept form of the equation of the line passing through the points.Select the correct answer for the line.