Question 1

Let   .Evaluate the expression   and then simplify the result. ​   ,   ​

Accepted Answer

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

Question 2

Test for symmetry with respect to each axis and to the origin.

Accepted Answer

A) symmetric with respect to the origin 
B) symmetric with respect to the x-axis 
C) symmetric with respect to the y-axis 
D) no symmetry 
E) a,b,and c 
A) symmetric with respect to the origin 
B) symmetric with respect to the x-axis 
C) symmetric with respect to the y-axis 
D) no symmetry 
E) a,b,and c

Question 3

Find   if   . ​

Accepted Answer

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

Question 4

Find an equation of the line that passes through the point   and has the slope   . ​

Accepted Answer

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

Question 5

A moving conveyor is built to rise 1 meter for every 9 meters of horizontal change.Suppose the conveyor runs between two floors in a factory.Find the length of the conveyor if the vertical distance between floors is 10 meters.Round your answer to the nearest meter. ​

Accepted Answer

A) 100 meters 
B) 79 meters 
C) 91 meters 
D) 90 meters 
E) 81 meters 
A) 100 meters 
B) 79 meters 
C) 91 meters 
D) 90 meters 
E) 81 meters

Question 6

You need 50 pounds of two commodities costing $1.60 and $1.95 per pound.Determine the number of pounds of the less expensive commodity purchased if the total cost   is $94. ​

Accepted Answer

A) 10 pounds 
B) 17 pounds 
C) 7 pounds 
D) 5 pounds 
E) 13 pounds 
A) 10 pounds 
B) 17 pounds 
C) 7 pounds 
D) 5 pounds 
E) 13 pounds

Question 7

Find an equation of the line that passes through the points   and   . ​

Accepted Answer

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

Question 8

If a line has slope   and passes through the point   ,through which of the following points does the line also pass? ​

Accepted Answer

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

Question 9

Estimate the slope of the line from the graph. ​   ​

Accepted Answer

A)    
B) 5 
C) 2 
D)    
E)    
A)    
B) 5 
C) 2 
D)    
E)

Question 10

Find all intercepts: ​   ​

Accepted Answer

A) x-intercepts:   ,
  ;no y-intercept 
B) x-intercept:   ;y-intercepts:
  ,
  ,
  
C) x-intercepts:   ,
  ,
  ;y-intercept:
  
D) x-intercepts:   ,
  ,
  ;no y-intercept 
E) x-intercepts:   ;y-intercept:
  
A) x-intercepts:   ,
  ;no y-intercept 
B) x-intercept:   ;y-intercepts:
  ,
  ,
  
C) x-intercepts:   ,
  ,
  ;y-intercept:
  
D) x-intercepts:   ,
  ,
  ;no y-intercept 
E) x-intercepts:   ;y-intercept:

Question 11

Solve the following equation for x. ​   ​

Accepted Answer

A)    
B)    
C)    
D)    
E) no solution 
A)    
B)    
C)    
D)    
E) no solution

Question 12

Find the sales necessary to break even   if the cost C of producing x units is   and the revenue R for selling x units is   .Round your answer to the nearest integer. ​

Accepted Answer

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

Question 13

A company reimburses its sales representatives $155 per day for lodging and meals plus 40¢ per mile driven.How much does it cost the company if a sales representative drives 133 miles on a given day? Round your answer to the nearest cent. ​

Accepted Answer

A) 217.00 
B) 208.20 
C) 134.33 
D) 156.33 
E) 186.20 
A) 217.00 
B) 208.20 
C) 134.33 
D) 156.33 
E) 186.20

Question 14

Find the y-intercept of the line   . ​

Accepted Answer

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

Question 15

Test for symmetry with respect to each axis and to the origin. ​   ​

Accepted Answer

A) symmetric with respect to the origin 
B) symmetric with respect to the y-axis 
C) symmetric with respect to the x-axis 
D) both B and C 
E) no symmetry 
A) symmetric with respect to the origin 
B) symmetric with respect to the y-axis 
C) symmetric with respect to the x-axis 
D) both B and C 
E) no symmetry

Question 16

Use the functions   and   to find the function   . ​

Accepted Answer

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

Let .Evaluate the expression and then simplify the result. ,

Test for symmetry with respect to each axis and to the origin.

Find if .

Find an equation of the line that passes through the point and has the slope .

A moving conveyor is built to rise 1 meter for every 9 meters of horizontal change.Suppose the conveyor runs between two floors in a factory.Find the length of the conveyor if the vertical distance between floors is 10 meters.Round your answer to the nearest meter.

You need 50 pounds of two commodities costing $1.60 and $1.95 per pound.Determine the number of pounds of the less expensive commodity purchased if the total cost is $94.

Find an equation of the line that passes through the points and .

If a line has slope and passes through the point ,through which of the following points does the line also pass?

Estimate the slope of the line from the graph.

Find all intercepts:

Solve the following equation for x.

Find the sales necessary to break even if the cost C of producing x units is and the revenue R for selling x units is .Round your answer to the nearest integer.

A company reimburses its sales representatives $155 per day for lodging and meals plus 40¢ per mile driven.How much does it cost the company if a sales representative drives 133 miles on a given day? Round your answer to the nearest cent.

Find the y-intercept of the line .

Test for symmetry with respect to each axis and to the origin.

Use the functions and to find the function .

Limits and Their Properties

Differentiation

Applications of Differentiation

Integration

Differential Equations

Applications of Integration

Integration Techniques, L'Hôpital's Rule, and Improper Integrals

Infinite Series

Parametric Equations, Polar Coordinates, and Vectors

Mechanical Ventilation and Sedation: Assessment, Medications, and Complications

Filters

Exam 1: Preparation for Calculus

Let .Evaluate the expression and then simplify the result. ​ , ​

Test for symmetry with respect to each axis and to the origin.

Find if . ​

Find an equation of the line that passes through the point and has the slope . ​

A moving conveyor is built to rise 1 meter for every 9 meters of horizontal change.Suppose the conveyor runs between two floors in a factory.Find the length of the conveyor if the vertical distance between floors is 10 meters.Round your answer to the nearest meter. ​

You need 50 pounds of two commodities costing $1.60 and $1.95 per pound.Determine the number of pounds of the less expensive commodity purchased if the total cost is $94. ​

Find an equation of the line that passes through the points and . ​

If a line has slope and passes through the point ,through which of the following points does the line also pass? ​

Estimate the slope of the line from the graph. ​ ​

Find all intercepts: ​ ​

Solve the following equation for x. ​ ​

Find the sales necessary to break even if the cost C of producing x units is and the revenue R for selling x units is .Round your answer to the nearest integer. ​

A company reimburses its sales representatives $155 per day for lodging and meals plus 40¢ per mile driven.How much does it cost the company if a sales representative drives 133 miles on a given day? Round your answer to the nearest cent. ​

Find the y-intercept of the line . ​

Test for symmetry with respect to each axis and to the origin. ​ ​

Use the functions and to find the function . ​

Limits and Their Properties

Differentiation

Applications of Differentiation

Integration

Differential Equations

Applications of Integration

Integration Techniques, L'Hôpital's Rule, and Improper Integrals

Infinite Series

Parametric Equations, Polar Coordinates, and Vectors

Mechanical Ventilation and Sedation: Assessment, Medications, and Complications

Filters

Let .Evaluate the expression and then simplify the result. ,

Find if .

Find an equation of the line that passes through the point and has the slope .

A moving conveyor is built to rise 1 meter for every 9 meters of horizontal change.Suppose the conveyor runs between two floors in a factory.Find the length of the conveyor if the vertical distance between floors is 10 meters.Round your answer to the nearest meter.

You need 50 pounds of two commodities costing $1.60 and $1.95 per pound.Determine the number of pounds of the less expensive commodity purchased if the total cost is $94.

Find an equation of the line that passes through the points and .

If a line has slope and passes through the point ,through which of the following points does the line also pass?

Estimate the slope of the line from the graph.

Find all intercepts:

Solve the following equation for x.

Find the sales necessary to break even if the cost C of producing x units is and the revenue R for selling x units is .Round your answer to the nearest integer.

A company reimburses its sales representatives $155 per day for lodging and meals plus 40¢ per mile driven.How much does it cost the company if a sales representative drives 133 miles on a given day? Round your answer to the nearest cent.

Find the y-intercept of the line .

Test for symmetry with respect to each axis and to the origin.

Use the functions and to find the function .