Question 1

Solve the inequality. ​   ​

Accepted Answer

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

Question 2

Suppose the percent of U.S. high school seniors from 1975 to 2001 who used marijuana can be modeled by   percent, where x is the number of years past 1975. Choose the correct interpretation the slope in this equation as a rate of change. ​

Accepted Answer

A) The percentage of U.S. high school seniors who used marijuana increased at a rate of 0.177% per year. 
B) The percentage of U.S. high school seniors who used marijuana decreased at a rate of 17.7% per year. 
C) The percentage of U.S. high school seniors who used marijuana decreased at a rate of 0.177% per year. 
D) The percentage of U.S. high school seniors who used marijuana increased at a rate of 17.7% per year. 
E) The percentage of U.S. high school seniors who used marijuana decreased at a rate of 1.77% per year. 
A) The percentage of U.S. high school seniors who used marijuana increased at a rate of 0.177% per year. 
B) The percentage of U.S. high school seniors who used marijuana decreased at a rate of 17.7% per year. 
C) The percentage of U.S. high school seniors who used marijuana decreased at a rate of 0.177% per year. 
D) The percentage of U.S. high school seniors who used marijuana increased at a rate of 17.7% per year. 
E) The percentage of U.S. high school seniors who used marijuana decreased at a rate of 1.77% per year.

Question 3

The percent P of men 65 years of age or older in the labor force can be modeled by   , where x is the number of years past 1890 (Source: U.S. Bureau of the Census). Plot this function using a graphing utility. What range of x-values and y-values do you need to use to view this graph for the years 1890 to 2010? ​

Accepted Answer

A) x-min = 0, x-max = 120 y-min = 0, y-max = 60 
B) x-min = -120, x-max = 0 y-min = 0, y-max = 70 
C) x-min = -120 , x-max = 120 y-min = 0, y-max = 50 
D) x-min = 0, x-max = 90 y-min = 0, y-max = 50 
E) x-min = 0, x-max = 120 y-min = 0, y-max = 70 
A) x-min = 0, x-max = 120 y-min = 0, y-max = 60 
B) x-min = -120, x-max = 0 y-min = 0, y-max = 70 
C) x-min = -120 , x-max = 120 y-min = 0, y-max = 50 
D) x-min = 0, x-max = 90 y-min = 0, y-max = 50 
E) x-min = 0, x-max = 120 y-min = 0, y-max = 70

Question 4

Use the left-to-right elimination method to solve the system. ​   ​

Accepted Answer

A) solution:   
B) solution:   
C) solution:   
D) solution:   
E) solution:   
A) solution:   
B) solution:   
C) solution:   
D) solution:   
E) solution:

Question 5

Choose the correct graph of the line with the given slope and y-intercept.​ ​
Slope:   y-intercept:   ​

Accepted Answer

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

Question 6

Solve the equation.

Accepted Answer

A) 7 
B) 2 
C) 5 
D) 1 
E) 0 
A) 7 
B) 2 
C) 5 
D) 1 
E) 0

Question 7

Which of the graphs below represent y as a function of x? ​
(a)
​   (b)
​   ​

Accepted Answer

A) only (a) 
B) only (b) 
C) both (a) and (b) 
D) neither (a) nor (b) 
A) only (a) 
B) only (b) 
C) both (a) and (b) 
D) neither (a) nor (b)

Question 8

State the domain and range of the function below. ​   ​

Accepted Answer

A) domain: real numbers  
Range: real numbers   
B) domain: all reals range: real numbers   
C) domain: real numbers  
Range: all reals 
D) domain: all reals range: real numbers   
E) domain: real numbers  
Range: real numbers   
A) domain: real numbers  
Range: real numbers   
B) domain: all reals range: real numbers   
C) domain: real numbers  
Range: all reals 
D) domain: all reals range: real numbers   
E) domain: real numbers  
Range: real numbers

Question 9

Medication A is given every 4 hours and medication B is given twice each day. The total intake of the two medications is restricted to 54.9 mg per day, for a certain patient. If the ratio of the dosage of A to the dosage of B is 1 to 5, find the dosage for each administration of each medication. ​

Accepted Answer

A) Each dosage of medication should be 54.9 mg of A and 11 mg of B. 
B) Each dosage of medication should be 59.9 mg of A and 12 mg of B. 
C) Each dosage of medication should be 3.4 mg of A and 17.2 mg of B. 
D) Each dosage of medication should be 11.0 mg of A and 2.2 mg of B. 
E) Each dosage of medication should be 43.9 mg of A and 8.8 mg of B. 
A) Each dosage of medication should be 54.9 mg of A and 11 mg of B. 
B) Each dosage of medication should be 59.9 mg of A and 12 mg of B. 
C) Each dosage of medication should be 3.4 mg of A and 17.2 mg of B. 
D) Each dosage of medication should be 11.0 mg of A and 2.2 mg of B. 
E) Each dosage of medication should be 43.9 mg of A and 8.8 mg of B.

Question 10

A retired woman has $130,000 to invest. She has chosen one relatively safe investment fund that has an annual yield of 9% and another, riskier one that has an annual yield of 13%. How much should she invest in the fund yielding 9% if she would like to earn $14,000 per year from her investments? ​

Accepted Answer

A) $11,700 
B) $16,900 
C) $57,500 
D) $72,500 
E) $113,100 
A) $11,700 
B) $16,900 
C) $57,500 
D) $72,500 
E) $113,100

Question 11

For   and   , find   . ​

Accepted Answer

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

Question 12

Write the equation and graph the line that passes through the given point and has the slope indicated. ​
​(-2,-2) with 0 slope
​

Accepted Answer

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

Question 13

Let   . Is   ? ​

Accepted Answer

A) Yes 
B) No 
A) Yes 
B) No

Question 14

Graph the function below and experiment with the viewing window to obtain a complete graph, adjusting the ranges where necessary. Does the figure below show the complete graph? ​   ​   ​

Accepted Answer

A) Yes 
B) No 
A) Yes 
B) No

Question 15

Use a graphing utility with the standard viewing window   and   to graph the function. Choose the correct graph below. ​   ​

Accepted Answer

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

Question 16

The retirement plan for Pennsylvania state employees is based on the following formula: "2.5% of average final compensation multiplied by years of credited service" (Source: Pennsylvania State Employees Retirement System, 2001). Let p represent annual retirement pension and y denote the years of service. For someone with average final compensation of $85,000, write the linear equation that gives p in terms of y. ​

Accepted Answer

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

Question 17

For   and   , find   . ​

Accepted Answer

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

Question 18

If   , find   . ​

Accepted Answer

A) -7 
B) 0 
C) -7000 
D) -700 
E) 25 
A) -7 
B) 0 
C) -7000 
D) -700 
E) 25

Question 19

Solve   for   . ​

Accepted Answer

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

Question 20

A company handles an apartment building with 50 units. Experience has shown that if the rent for each of the units is $370 per month, then all of the units will be filled; however, one unit will become vacant for each $10 increase in the monthly rate. If x represents the number of $10 increases, express the revenue R from the building as a function of x. ​

Accepted Answer

A) ​R(x) = 370+10x 
B) R(x) = (370+10x)(50-x) 
C) R(x) = 50(370+10x) 
D) R(x) = 10(370-10x)(50-x) 
E) R(x) = 50(370-10x) 
A) ​R(x) = 370+10x 
B) R(x) = (370+10x)(50-x) 
C) R(x) = 50(370+10x) 
D) R(x) = 10(370-10x)(50-x) 
E) R(x) = 50(370-10x)

Solve the inequality.

Suppose the percent of U.S. high school seniors from 1975 to 2001 who used marijuana can be modeled by percent, where x is the number of years past 1975. Choose the correct interpretation the slope in this equation as a rate of change.

Use the left-to-right elimination method to solve the system.

Choose the correct graph of the line with the given slope and y-intercept. Slope: y-intercept:

Solve the equation.

Which of the graphs below represent y as a function of x? (a) (b)

State the domain and range of the function below.

Medication A is given every 4 hours and medication B is given twice each day. The total intake of the two medications is restricted to 54.9 mg per day, for a certain patient. If the ratio of the dosage of A to the dosage of B is 1 to 5, find the dosage for each administration of each medication.

A retired woman has $130,000 to invest. She has chosen one relatively safe investment fund that has an annual yield of 9% and another, riskier one that has an annual yield of 13%. How much should she invest in the fund yielding 9% if she would like to earn $14,000 per year from her investments?

For and , find .

Write the equation and graph the line that passes through the given point and has the slope indicated. (-2,-2) with 0 slope

Let . Is ?

Graph the function below and experiment with the viewing window to obtain a complete graph, adjusting the ranges where necessary. Does the figure below show the complete graph?

Use a graphing utility with the standard viewing window and to graph the function. Choose the correct graph below.

For and , find .

If , find .

Solve for .

Algebraic Concepts

Quadratic and Other Special Functions

Matrices

Inequalities and Linear Programming

Exponential and Logarithmic Functions

Mathematics of Finance

Introduction to Probability

Further Topics in Probability; Data Description

Derivatives

Applications of Derivatives

Derivatives Continued

Indefinite Integrals

Definite Integrals: Techniques of Integration

Functions of Two or More Variables

Filters

Exam 2: Linear Equations and Functions

Solve the inequality. ​ ​

Suppose the percent of U.S. high school seniors from 1975 to 2001 who used marijuana can be modeled by percent, where x is the number of years past 1975. Choose the correct interpretation the slope in this equation as a rate of change. ​

Use the left-to-right elimination method to solve the system. ​ ​

Choose the correct graph of the line with the given slope and y-intercept.​ ​ Slope: y-intercept: ​

Solve the equation.

Which of the graphs below represent y as a function of x? ​ (a) ​ (b) ​ ​

State the domain and range of the function below. ​ ​

A retired woman has $130,000 to invest. She has chosen one relatively safe investment fund that has an annual yield of 9% and another, riskier one that has an annual yield of 13%. How much should she invest in the fund yielding 9% if she would like to earn $14,000 per year from her investments? ​

For and , find . ​

Write the equation and graph the line that passes through the given point and has the slope indicated. ​ ​(-2,-2) with 0 slope ​

Let . Is ? ​

Graph the function below and experiment with the viewing window to obtain a complete graph, adjusting the ranges where necessary. Does the figure below show the complete graph? ​ ​ ​

Use a graphing utility with the standard viewing window and to graph the function. Choose the correct graph below. ​ ​

For and , find . ​

If , find . ​

Solve for . ​

Algebraic Concepts

Quadratic and Other Special Functions

Matrices

Inequalities and Linear Programming

Exponential and Logarithmic Functions

Mathematics of Finance

Introduction to Probability

Further Topics in Probability; Data Description

Derivatives

Applications of Derivatives

Derivatives Continued

Indefinite Integrals

Definite Integrals: Techniques of Integration

Functions of Two or More Variables

Filters

Solve the inequality.

Suppose the percent of U.S. high school seniors from 1975 to 2001 who used marijuana can be modeled by percent, where x is the number of years past 1975. Choose the correct interpretation the slope in this equation as a rate of change.

Use the left-to-right elimination method to solve the system.

Choose the correct graph of the line with the given slope and y-intercept. Slope: y-intercept:

Which of the graphs below represent y as a function of x? (a) (b)

State the domain and range of the function below.

A retired woman has $130,000 to invest. She has chosen one relatively safe investment fund that has an annual yield of 9% and another, riskier one that has an annual yield of 13%. How much should she invest in the fund yielding 9% if she would like to earn $14,000 per year from her investments?

For and , find .

Write the equation and graph the line that passes through the given point and has the slope indicated. (-2,-2) with 0 slope

Let . Is ?

Graph the function below and experiment with the viewing window to obtain a complete graph, adjusting the ranges where necessary. Does the figure below show the complete graph?

Use a graphing utility with the standard viewing window and to graph the function. Choose the correct graph below.

For and , find .

If , find .

Solve for .