Question 1

A couple seeking to buy a home decides that a monthly payment of $800 fits their budget. Their bank's interest rate is 7.5%. The amount they can borrow A is a function of the time t in years that it will take to repay the debt. If we denote this function by  , then the following table defines the function. ​  Source: Comprehensive Mortgage Payment Tables, Publication No. 492, Financial Publishing Co., Boston
Choose the expression in the form  which describes how long they will have to make payments if they need to borrow $69,000.
​
A) 
B) 
C)​ 
D) 
E)​

Accepted Answer

The answer of A couple seeking to buy a home...

Question 2

The graph of  is shown in the figure below. ​
​  ​
Does the point (0,1) lie on the graph? In other words, do the coordinates satisfy the equation?
​
A)Yes
B)No

Accepted Answer

The point (0,1) is not on the graph because for x=0, the y-coordinate is -1, not 1. Therefore, the coordinates do not satisfy the equation.

Question 3

For  and  , find  . ​
A) 
B) 
C) 
D) 
E)

Accepted Answer

The only difference between the two given codes is in the third group of characters (b03a vs b03b). The third group in the answer code must be different from both of those, so it can be narrowed down to d74d, d74e, d74f, d750, or d751. Looking at the answer choices, only answer choice B has the third group as d74e, which is different from both b03a and b03b.

Question 4

Suppose  in the figure below. Find  . ​
​  ​
A)1
B)1.44225
C)-1.414214
D)0
E)1.414214

Accepted Answer

The answer of Suppose  in the figure below. Find...

Question 5

When a debt is refinanced, sometimes the term of the loan (that is, the time it takes to repay the debt) is shortened. Suppose the current interest rate is 7%, and the current debt is $100,000. The monthly payment R of the refinanced debt is a function of the term of the loan t in years. If we represent this function by  , then the following table defines the function. ​  ​
Source: Comprehensive Mortgage Payment Tables, Publication No. 492, Financial Publishing Co., Boston
Choose the correct verbal description of  .
​
A)From the table, 
The value of 
Is the yearly payment to repay a $100,000 loan in 10 years when the interest rate is 7%.
B)From the table, 
The value of 
Is the monthly payment to repay half of a $100,000 loan in 10 years when the interest rate is 7%.
C)From the table, 
The value of 
Is the weekly payment to repay a $100,000 loan in 10 years when the interest rate is 7%.
D)From the table, 
The value of 
Is the monthly payment to repay a $100,000 loan in 10 years when the interest rate is 7%.
E)From the table, 
The value of 
Is the monthly payment to repay a $100,000 loan in 10 years when the interest rate is 7%.

Accepted Answer

The answer of When a debt is refinanced, sometimes the...

Question 6

The number (in millions) of women in the work force, given as a function f, of the year for selected years from 1920 to 2000, is shown in the figure below. Estimate  and explain its meaning. ​​  ​
Source: 2004 World Almanac
​
A) 
: The number of women in the work force increased by 10,000,000.
B) 
: The number of women in the work force decreased by 2,000,000.
C) 
: The number of women in the work force did not increase.
D) 
: The number of women in the work force increased by 2,000,000.
E) 
: The number of women in the work force decreased by 10,000,000

Accepted Answer

From the graph, we can see that the number of women in the work force increased by approximately 2,000,000 from 1980 to 1990.

Question 7

For  , find  . ​
A)1
B)​ 
C) 
D)​ 
E)x

Accepted Answer

The answer of For  , find  . ​
A)1
B)​...

Question 8

A function and its graph are given. Find the domain. ​  ​  ​
​
A)domain: 
B)domain: 
C)domain: 
D)domain: 
E)domain:

Accepted Answer

The answer of A function and its graph are given....

Question 9

For  and  , find  . ​
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of For  and  , find ...

Question 10

For  and  , find  . ​
A) 
B)​ 
C) 
D) 
E)

Accepted Answer

Comparing the given values, we can see that the first segment (11eb0d3b) and the last segment (TB1243_11) remain the same. In the second segment, only the last character changes from b to c to d. In the third segment, the first three characters change from 9785 to 9786. In the fourth segment, the only change is in the second character from c to b to c. Among the given options, only option B matches all these changes.

Question 11

For  and  , find  . ​
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of For  and  , find ...

Question 12

A function and its graph are given. Find the domain. ​  ​  ​
A)domain: all real numbers 
B)domain: all real numbers 
C)domain: all real numbers 
D)domain: all real numbers 
E)domain: all real numbers

Accepted Answer

The graph shows a smooth curve with no breaks, holes, or asymptotes, indicating that the function is defined for all real numbers. Therefore, the domain is all real numbers.

Question 13

If t represents the number of hours after 9:30 A.M. on Tuesday, October 5, 2004, then the graph defines the Dow Jones Industrial Average D as a function of time t. If we represent this function by  use the graph to find f(6.5). ​  ​
Source: Bloomberg Financial Markets, The New York Times, October 6, 2004. Copyright © 2004 The New York Times Co. Reprinted by permission.
​
A)10,220
B)10,175
C)10,217
D)10,160
E)10,190

Accepted Answer

The answer of If t represents the number of hours...

Question 14

Find the domain and range of the function below. ​  ​
A)domain: real numbers 
Range: real numbers 
B)domain: real numbers 
Range: real numbers 
C)domain: all reals range: real numbers 
D)domain: real numbers 
Range: real numbers 
E)domain: all reals range: real numbers

Accepted Answer

The answer of Find the domain and range of the...

Question 15

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

Accepted Answer

The answer of State the domain and range of the...

Question 16

For  and  , find  . ​
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of For  and  , find ...

Question 17

Find the domain and range of the function below. ​  ​
A)domain: all reals range: real numbers 
B)domain: all reals range: real numbers 
C)domain: real numbers 
Range: all reals
D)domain: real numbers 
Range: all reals
E)domain: all reals range: real numbers

Accepted Answer

The answer of Find the domain and range of the...

Question 18

Suppose  in the figure below. How many values of x satisfy  ? ​  ​
A)2
B)1
C)4
D)5
E)3

Accepted Answer

The answer of Suppose  in the figure below. How...

Question 19

The graph of  is shown in the figure below. ​  ​
If the point P (with coordinates (a, b)) is on the graph, how are a and b related?
​
A)​ 
B) 
C) 
D) 
E)There is no relation.

Accepted Answer

The answer of The graph of  is shown in...

Question 20

For  and  , find  . ​
A) 
B) 
C) 
D) 
E)

Accepted Answer

The only difference between the two given IDs is in the 4th group of characters. In the first ID, it is "3af2" and in the second ID, it is "3af3". The next logical sequence in this pattern would be "3af4", which is present in option C.

Quiz 2: Linear Equations and Functions

The graph of is shown in the figure below. Does the point (0,1) lie on the graph? In other words, do the coordinates satisfy the equation?

For and , find .

Suppose in the figure below. Find .

The number (in millions) of women in the work force, given as a function f, of the year for selected years from 1920 to 2000, is shown in the figure below. Estimate and explain its meaning. Source: 2004 World Almanac

For , find .

A function and its graph are given. Find the domain.

For and , find .

For and , find .

For and , find .

A function and its graph are given. Find the domain.

Find the domain and range of the function below.

State the domain and range of the function below.

For and , find .

Find the domain and range of the function below.

Suppose in the figure below. How many values of x satisfy ?

The graph of is shown in the figure below. If the point P (with coordinates (a, b) ) is on the graph, how are a and b related?

For and , find .

Quiz 2: Linear Equations and Functions

The graph of is shown in the figure below. ​ ​ ​ Does the point (0,1) lie on the graph? In other words, do the coordinates satisfy the equation? ​

For and , find . ​

Suppose in the figure below. Find . ​ ​ ​

The number (in millions) of women in the work force, given as a function f, of the year for selected years from 1920 to 2000, is shown in the figure below. Estimate and explain its meaning. ​​ ​ Source: 2004 World Almanac ​

For , find . ​

A function and its graph are given. Find the domain. ​ ​ ​ ​

For and , find . ​

For and , find . ​

For and , find . ​

A function and its graph are given. Find the domain. ​ ​ ​

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

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

For and , find . ​

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

Suppose in the figure below. How many values of x satisfy ? ​ ​

The graph of is shown in the figure below. ​ ​ If the point P (with coordinates (a, b) ) is on the graph, how are a and b related? ​

For and , find . ​

The graph of is shown in the figure below. Does the point (0,1) lie on the graph? In other words, do the coordinates satisfy the equation?

For and , find .

Suppose in the figure below. Find .

The number (in millions) of women in the work force, given as a function f, of the year for selected years from 1920 to 2000, is shown in the figure below. Estimate and explain its meaning. Source: 2004 World Almanac

For , find .

A function and its graph are given. Find the domain.

For and , find .

For and , find .

For and , find .

A function and its graph are given. Find the domain.

Find the domain and range of the function below.

State the domain and range of the function below.

For and , find .

Find the domain and range of the function below.

Suppose in the figure below. How many values of x satisfy ?

The graph of is shown in the figure below. If the point P (with coordinates (a, b) ) is on the graph, how are a and b related?

For and , find .