Question 1

Let   and   Evaluate

Accepted Answer

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

Question 2

The resistance of a wire varies directly with its length and inversely with the square of its diameter. If 100 feet of wire with diameter 0.04 inch has a resistance of 30 ohms, what is the resistance of 50 feet of the same type of wire if its diameter is 0.08 inch?

Accepted Answer

The answer of The resistance of a wire varies directly...

Question 3

For the following line, name the slope and y -intercept. Then write the equation of the line in slope-intercept form.

Accepted Answer

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

Question 4

The volume of a gas varies directly with its temperature and inversely with the pressure. If the volume of a certain gas is 45 cubic feet at a temperature of 300 K and a pressure of 18 pounds per square inch, what is the volume of the same gas at 340 K when the pressure is 45 pounds per square inch?

Accepted Answer

The answer of The volume of a gas varies directly...

Question 5

Given f ( x ) = x  2  - 5 x - 6 and g ( x ) = x - 5, find the following. ( f - g ) ( 3 )

Accepted Answer

Question 6

Hali is tossing a quarter into the air with an underhand motion. The distance the quarter is above her hand at any time is given by the function   where h is the height of the quarter in feet, and t is the time in seconds. Use the data from the table to graph the function. TIME (SEC) FUNCTION RULE DISTANCE (FT) t   h 0   0 0.1   1.08 0.2   1.92 0.3   2.52 0.4   2.88 0.5   3 0.6   2.88 0.7   2.52 0.8   1.92 0.9   1.08 1   0

Accepted Answer

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

Question 7

The volume of a gas varies directly with its temperature and inversely with the pressure. If the volume of a certain gas is 11 cubic feet at a temperature of 300 K and a pressure of 18 pounds per square inch, what is the volume of the same gas at 320 K when the pressure is 11 pounds per square inch?

Accepted Answer

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

Question 8

The formula for the area   of a circle with radius   is given by   The formula shows that   is a function of   State the domain and the range of the function

Accepted Answer

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

Question 9

Line l contains the points (4, - 6) and (4, 3). Give the slope of any line perpendicular to l .

Accepted Answer

The answer of Line l contains the points (4, -...

Question 10

Let   and   . Find the composition   .

Accepted Answer

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

Question 11

Solve for   .

Accepted Answer

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

Question 12

Let   and   Evaluate     __________

Accepted Answer

The answer of Let   and   Evaluate...

Question 13

For the following relation, give the domain and range and indicate whether it is a function. {(4, 1), (5, 6), (2, 4)}

Accepted Answer

A)  Domain = {4, 5, 2}; Range = {1, 6, 4}; a function 
B)  Domain = {1, 6, 4}; Range = {4, 5, 2}; not a function 
C)  Domain = {4, 5, 2}; Range = {1, 6, 4}; not a function 
D)  Domain = {6, 5, 2}; Range = {5, 6, 4}; a function 
E)  Domain = {5, 6, 4}; Range = {6, 5, 2}; not a function 
A)  Domain = {4, 5, 2}; Range = {1, 6, 4}; a function 
B)  Domain = {1, 6, 4}; Range = {4, 5, 2}; not a function 
C)  Domain = {4, 5, 2}; Range = {1, 6, 4}; not a function 
D)  Domain = {6, 5, 2}; Range = {5, 6, 4}; a function 
E)  Domain = {5, 6, 4}; Range = {6, 5, 2}; not a function

Question 14

Let   Evaluate     __________

Accepted Answer

The answer of Let   Evaluate   ...

Question 15

Does the graph represent a function?

Accepted Answer

A)  yes 
B)  no 
A)  yes 
B)  no

Question 16

Given f ( x ) = x 2 - 2 x - 24 and g ( x ) = x - 6, find the following.

Accepted Answer

A)  ( f - g ) ( 6 ) = - 5 
B)  ( f - g ) ( 6 ) = 15 
C)  ( f - g ) ( 6 ) = - 9 
D)  ( f - g ) ( 6 ) = 11 
E)  Undefined 
A)  ( f - g ) ( 6 ) = - 5 
B)  ( f - g ) ( 6 ) = 15 
C)  ( f - g ) ( 6 ) = - 9 
D)  ( f - g ) ( 6 ) = 11 
E)  Undefined

Question 17

Find the slope of any line parallel to the line through (7, 5) and (- 2, 4).

Accepted Answer

The answer of Find the slope of any line parallel...

Question 18

State whether the following graph represents a function.   The graph __________.

Accepted Answer

The answer of State whether the following graph represents a...

Question 19

Line l contains the points (1, - 9) and (1, 4). Give the slope of any line perpendicular to l .

Accepted Answer

A)  2 
B)  - 1 
C)  0 
D)  3 
E)  no slope 
A)  2 
B)  - 1 
C)  0 
D)  3 
E)  no slope

Question 20

Line l is perpendicular to the graph of the equation - 2 x - 7 y = 8 and contains the point (3, - 2). Find the equation for l .

Accepted Answer

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

Let and Evaluate

The resistance of a wire varies directly with its length and inversely with the square of its diameter. If 100 feet of wire with diameter 0.04 inch has a resistance of 30 ohms, what is the resistance of 50 feet of the same type of wire if its diameter is 0.08 inch?

For the following line, name the slope and y -intercept. Then write the equation of the line in slope-intercept form.

The volume of a gas varies directly with its temperature and inversely with the pressure. If the volume of a certain gas is 45 cubic feet at a temperature of 300 K and a pressure of 18 pounds per square inch, what is the volume of the same gas at 340 K when the pressure is 45 pounds per square inch?

Given f ( x ) = x ² - 5 x - 6 and g ( x ) = x - 5, find the following. ( f - g ) ( 3 )

The volume of a gas varies directly with its temperature and inversely with the pressure. If the volume of a certain gas is 11 cubic feet at a temperature of 300 K and a pressure of 18 pounds per square inch, what is the volume of the same gas at 320 K when the pressure is 11 pounds per square inch?

The formula for the area of a circle with radius is given by The formula shows that is a function of State the domain and the range of the function

Line l contains the points (4, - 6) and (4, 3). Give the slope of any line perpendicular to l .

Let and . Find the composition .

Solve for .

Let and Evaluate __________

For the following relation, give the domain and range and indicate whether it is a function. {(4, 1), (5, 6), (2, 4)}

Let Evaluate __________

Does the graph represent a function?

Given f ( x ) = x 2 - 2 x - 24 and g ( x ) = x - 6, find the following.

Find the slope of any line parallel to the line through (7, 5) and (- 2, 4).

State whether the following graph represents a function. The graph __________.

Line l contains the points (1, - 9) and (1, 4). Give the slope of any line perpendicular to l .

Line l is perpendicular to the graph of the equation - 2 x - 7 y = 8 and contains the point (3, - 2). Find the equation for l .

Notation and Symbols

Simplifying Expressions

Paired Data and Graphing Ordered Pairs

Multiplication With Exponents

The Greatest Common Factor and Factoring by Grouping

Reducing Rational Expressions to Lowest Terms

Review of Solving Equations

Rational Exponents

Completing the Square

Exponential Functions

The Circle

Sequences

Filters

Exam 8: The Slope of a Line

Let and Evaluate

The resistance of a wire varies directly with its length and inversely with the square of its diameter. If 100 feet of wire with diameter 0.04 inch has a resistance of 30 ohms, what is the resistance of 50 feet of the same type of wire if its diameter is 0.08 inch?

For the following line, name the slope and y -intercept. Then write the equation of the line in slope-intercept form.

Given f ( x ) = x 2 - 5 x - 6 and g ( x ) = x - 5, find the following. ( f - g ) ( 3 )

The formula for the area of a circle with radius is given by The formula shows that is a function of State the domain and the range of the function

Line l contains the points (4, - 6) and (4, 3). Give the slope of any line perpendicular to l .

Let and . Find the composition .

Solve for .

Let and Evaluate __________

For the following relation, give the domain and range and indicate whether it is a function. {(4, 1), (5, 6), (2, 4)}

Let Evaluate __________

Does the graph represent a function?

Given f ( x ) = x 2 - 2 x - 24 and g ( x ) = x - 6, find the following.

Find the slope of any line parallel to the line through (7, 5) and (- 2, 4).

State whether the following graph represents a function. The graph __________.

Line l contains the points (1, - 9) and (1, 4). Give the slope of any line perpendicular to l .

Line l is perpendicular to the graph of the equation - 2 x - 7 y = 8 and contains the point (3, - 2). Find the equation for l .

Notation and Symbols

Simplifying Expressions

Paired Data and Graphing Ordered Pairs

Multiplication With Exponents

The Greatest Common Factor and Factoring by Grouping

Reducing Rational Expressions to Lowest Terms

Review of Solving Equations

Rational Exponents

Completing the Square

Exponential Functions

The Circle

Sequences

Filters

Given f ( x ) = x ² - 5 x - 6 and g ( x ) = x - 5, find the following. ( f - g ) ( 3 )