Question 1

Find the slope of the line by finding the coordinates of two points on it. 10 x + 9 y = 9

Accepted Answer

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

Question 2

Identify the correct location of the red dot on the rectangular coordinate system.

Accepted Answer

A)  (-1, 3) 
B)  (4, -5) 
C)  (-4, 3) 
D)  (-3, 4) 
E)  None of these 
A)  (-1, 3) 
B)  (4, -5) 
C)  (-4, 3) 
D)  (-3, 4) 
E)  None of these

Question 3

Find the midpoint of segment PQ .

Accepted Answer

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

Question 4

Write the equation of the line that satisfies the given conditions. Express the final equation in standard form. contains the point (-1, 5) and is perpendicular to the line 6 x + 7 y = -6

Accepted Answer

A)  7 x - 6 y = -37 
B)  7 x - 6 y = 23 
C)  7 x + 6 y = -37 
D)  x - 6 y = 23 
E)  7 x + 6 y = 23 
A)  7 x - 6 y = -37 
B)  7 x - 6 y = 23 
C)  7 x + 6 y = -37 
D)  x - 6 y = 23 
E)  7 x + 6 y = 23

Question 5

Write the equation of the line that satisfies the given conditions. Express the final equation in standard form. contains the point (5, 7) and is parallel to the line x -10 y = -5

Accepted Answer

A)  x -10 y = -65 
B)  -10 x - y = -57 
C)  -10 x --11 y = -57 
D)  x -10 y = -5 
E)  -10 x - y = 65 
A)  x -10 y = -65 
B)  -10 x - y = -57 
C)  -10 x --11 y = -57 
D)  x -10 y = -5 
E)  -10 x - y = 65

Question 6

In the problem described below, assume that the relationship can be expressed as a linear equation in two variables, and use the given information to determine the equation. Express the equation in slope-intercept form. A new diet fad claims that a person weighing 170 pounds should consume 1,660 daily calories and that a 210-pound person should consume 1,800 calories. Let y represent the calories and x the weight of the person in pounds.

Accepted Answer

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

Question 7

The grade of a highway up a hill is 25%. How much change in horizontal distance is there if the vertical height of the hill is 150 feet? Express the answer to the nearest foot.

Accepted Answer

A)  619 ft 
B)  600 ft 
C)  500 ft 
D)  610 ft 
E)  575 ft 
A)  619 ft 
B)  600 ft 
C)  500 ft 
D)  610 ft 
E)  575 ft

Question 8

Since 1990, when the average monthly price for basic cable TV programming in one country was $15.81, the cost has risen by about $1.62 a year. Write an equation in slope-intercept form to predict cable TV costs in the future. Use t to represent time in years after 1990 and C to represent the average basic monthly cost.

Accepted Answer

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

Question 9

Use the point-slope form to write an equation of the line with the slope   and that passes through the point   .

Accepted Answer

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

Question 10

Graph the equation.

Accepted Answer

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

Question 11

Specify the domain for the relation. { ( x , y ) | 5 x  2 = 4 y  3 }

Accepted Answer

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

Question 12

Find the slope and the y -intercept of the line determined by the given equation.

Accepted Answer

A)  slope:   ; y -intercept:   
B)  slope:   ; y -intercept:   
C)  slope:   ; y -intercept:   
D)  slope:   ; y -intercept:   
E)  slope:   ; y -intercept:   
A)  slope:   ; y -intercept:   
B)  slope:   ; y -intercept:   
C)  slope:   ; y -intercept:   
D)  slope:   ; y -intercept:   
E)  slope:   ; y -intercept:

Question 13

Graph the function. Check your work with a graphing calculator.

Accepted Answer

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

Question 14

Determine the y -intercept of the line represented by the given equation.

Accepted Answer

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

Question 15

Tell whether the equation determines y to be a function of x .

Accepted Answer

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

Question 16

Determine the domain of the given function.

Accepted Answer

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

Question 17

Since 1990, when the average monthly price for basic cable TV programming in one country was $15.41, the cost has risen by about $1.32 a year. Write an equation in slope-intercept form to predict cable TV costs in the future. Use t to represent time in years after 1990 and C to represent the average basic monthly cost.

Accepted Answer

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

Question 18

The graph represents a correspondence between x and y . Tell whether the correspondence is a function. If it is, give its domain and range.

Accepted Answer

A)  a function with   and   . 
B)  a function with   and   . 
C)  a function with   and   . 
D)  a function with   and   . 
E)  not a function 
A)  a function with   and   . 
B)  a function with   and   . 
C)  a function with   and   . 
D)  a function with   and   . 
E)  not a function

Question 19

Change the equation to slope-intercept form.

Accepted Answer

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

Question 20

Specify the range for the relation. {(3, 2), (5, 7), (13, 10), (16, 19)}

Accepted Answer

A)  R = {3, 5, 13, 16} 
B)  R = {2, 19} 
C)  R = {2, 7, 10, 19} 
D)  R = {3, 5, 13, 16, 2, 7, 10, 19} 
E)  R = {3, 16} 
A)  R = {3, 5, 13, 16} 
B)  R = {2, 19} 
C)  R = {2, 7, 10, 19} 
D)  R = {3, 5, 13, 16, 2, 7, 10, 19} 
E)  R = {3, 16}

Find the slope of the line by finding the coordinates of two points on it. 10 x + 9 y = 9

Identify the correct location of the red dot on the rectangular coordinate system.

Find the midpoint of segment PQ .

Write the equation of the line that satisfies the given conditions. Express the final equation in standard form. contains the point (-1, 5) and is perpendicular to the line 6 x + 7 y = -6

Write the equation of the line that satisfies the given conditions. Express the final equation in standard form. contains the point (5, 7) and is parallel to the line x -10 y = -5

The grade of a highway up a hill is 25%. How much change in horizontal distance is there if the vertical height of the hill is 150 feet? Express the answer to the nearest foot.

Use the point-slope form to write an equation of the line with the slope and that passes through the point .

Graph the equation.

Specify the domain for the relation. { ( x , y ) | 5 x ²= 4 y ³ }

Find the slope and the y -intercept of the line determined by the given equation.

Graph the function. Check your work with a graphing calculator.

Determine the y -intercept of the line represented by the given equation.

Tell whether the equation determines y to be a function of x .

Determine the domain of the given function.

The graph represents a correspondence between x and y . Tell whether the correspondence is a function. If it is, give its domain and range.

Change the equation to slope-intercept form.

Specify the range for the relation. {(3, 2), (5, 7), (13, 10), (16, 19)}

A Review of Basic Algebra

Systems of Linear Equations

Inequalities

Polynomials, Polynomial Functions, and Equations

Rational Expressions

Radical Expressions and Equations

Quadratic Equations and Functions; Inequalities; and Algebra, Composition, and Inverses of Functions

Exponential and Logarithmic Functions

Conic Sections and More Graphing

Miscellaneous Topics

Filters

Exam 2: Graphs, Equations of Lines, and Functions

Find the slope of the line by finding the coordinates of two points on it. 10 x + 9 y = 9

Identify the correct location of the red dot on the rectangular coordinate system.

Find the midpoint of segment PQ .

Write the equation of the line that satisfies the given conditions. Express the final equation in standard form. contains the point (-1, 5) and is perpendicular to the line 6 x + 7 y = -6

Write the equation of the line that satisfies the given conditions. Express the final equation in standard form. contains the point (5, 7) and is parallel to the line x -10 y = -5

The grade of a highway up a hill is 25%. How much change in horizontal distance is there if the vertical height of the hill is 150 feet? Express the answer to the nearest foot.

Use the point-slope form to write an equation of the line with the slope and that passes through the point .

Graph the equation.

Specify the domain for the relation. { ( x , y ) | 5 x 2 = 4 y 3 }

Find the slope and the y -intercept of the line determined by the given equation.

Graph the function. Check your work with a graphing calculator.

Determine the y -intercept of the line represented by the given equation.

Tell whether the equation determines y to be a function of x .

Determine the domain of the given function.

The graph represents a correspondence between x and y . Tell whether the correspondence is a function. If it is, give its domain and range.

Change the equation to slope-intercept form.

Specify the range for the relation. {(3, 2), (5, 7), (13, 10), (16, 19)}

A Review of Basic Algebra

Systems of Linear Equations

Inequalities

Polynomials, Polynomial Functions, and Equations

Rational Expressions

Radical Expressions and Equations

Quadratic Equations and Functions; Inequalities; and Algebra, Composition, and Inverses of Functions

Exponential and Logarithmic Functions

Conic Sections and More Graphing

Miscellaneous Topics

Filters

Specify the domain for the relation. { ( x , y ) | 5 x ²= 4 y ³ }