Question 1

Graph the function and give the intervals on which F ( x ) is increasing, decreasing, or constant.

Accepted Answer

A)    increasing on (-∞, 1) constant on (1, ∞) 
B)    increasing on (-∞, 1) constant on (1, ∞) 
C)    decreasing on (-∞, 0) increasing on (0, 1) constant on (1, ∞) 
D)    decreasing on (-∞, 0) increasing on (0, 1) constant on (1, ∞) 
E)    increasing on (-∞, 0) decreasing on (0, ∞) 
A)    increasing on (-∞, 1) constant on (1, ∞) 
B)    increasing on (-∞, 1) constant on (1, ∞) 
C)    decreasing on (-∞, 0) increasing on (0, 1) constant on (1, ∞) 
D)    decreasing on (-∞, 0) increasing on (0, 1) constant on (1, ∞) 
E)    increasing on (-∞, 0) decreasing on (0, ∞)

Question 2

Find the length of a radius of this circle. x  2 + y  2 = 13

Accepted Answer

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

Question 3

Find the center and radius of a circle given an equation in standard form.

Accepted Answer

A)  C (0, 0),   
B)  C (0, 0),   
C)  C (0, 0),   
D)  C (0, 5),   
A)  C (0, 0),   
B)  C (0, 0),   
C)  C (0, 0),   
D)  C (0, 5),

Question 4

Graph the function. f ( x ) = - [ x ] - 1

Accepted Answer

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

Question 5

Graph the hyperbola.

Accepted Answer

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

Question 6

A marina charges $20 to rent a jet ski for 1 hour, plus $10 for every extra hour (or portion of an hour). In the illustration, h represents the number of hours and c represents the cost. Find the cost if the ski is used for 2.5 hours.

Accepted Answer

A)  $40 
B)  $30 
C)  $45 
D)  $55 
E)  $60 
A)  $40 
B)  $30 
C)  $45 
D)  $55 
E)  $60

Question 7

Graph the hyperbola.

Accepted Answer

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

Question 8

The arch of the underpass in the picture is a part of an ellipse. Find the equation of the arch.

Accepted Answer

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

Question 9

Solve the system of equations by graphing.

Accepted Answer

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

Question 10

Solve the system of equations by graphing.

Accepted Answer

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

Question 11

Find the center and the length of a radius of the circle. x  2 + y  2 - 2 x - 6 y + 1 = 0

Accepted Answer

A)  (-1, -3), r = 3 
B)  (3, -1), r = 6 
C)  (1, 3), r = 6 
D)  (3, 1), r = 3 
E)  (1, 3), r = 3 
A)  (-1, -3), r = 3 
B)  (3, -1), r = 6 
C)  (1, 3), r = 6 
D)  (3, 1), r = 3 
E)  (1, 3), r = 3

Question 12

Find the center and the length of a radius of the circle. x  2 + y  2 - 8 x + 2 y = 0

Accepted Answer

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

Question 13

Find the center and radius of a circle given an equation in standard form.

Accepted Answer

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

Question 14

Computer access to international data network A costs $10 per day plus $8 per hour or fraction of an hour. Network B charges $15 per day, but only $6 per hour or fraction of an hour. In the illustration, t represents the connect time and C represents the total cost for each network. Find the minimal daily usage (in hours) after which it would be more economical to use network B.

Accepted Answer

A)  After 2.5 hours, network B is cheaper. 
B)  After 1.5 hours, network B is cheaper. 
C)  After 2 hours, network B is cheaper. 
D)  After 1 hour, network B is cheaper. 
E)  After 3 hours, network B is cheaper. 
A)  After 2.5 hours, network B is cheaper. 
B)  After 1.5 hours, network B is cheaper. 
C)  After 2 hours, network B is cheaper. 
D)  After 1 hour, network B is cheaper. 
E)  After 3 hours, network B is cheaper.

Question 15

Graph the equation.

Accepted Answer

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

Question 16

Find the vertex of the parabola and graph it.

Accepted Answer

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

Question 17

Graph the function. f ( x ) = [ x ]

Accepted Answer

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

Question 18

Solve the system of equations algebraically for real values of   and   .

Accepted Answer

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

Question 19

Graph the equation.

Accepted Answer

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

Question 20

Two similarly charged particles are shot together for an almost head-on collision, as in the illustration. They repel each other and travel the branches of the hyperbola given by   How close do they get?

Accepted Answer

A)  24 units 
B)  21 units 
C)  22 units 
D)  18 units 
E)  25 units 
A)  24 units 
B)  21 units 
C)  22 units 
D)  18 units 
E)  25 units

Graph the function and give the intervals on which F ( x ) is increasing, decreasing, or constant.

Find the length of a radius of this circle. x ² + y ² = 13

Find the center and radius of a circle given an equation in standard form.

Graph the function. f ( x ) = - [ x ] - 1

Graph the hyperbola.

A marina charges $20 to rent a jet ski for 1 hour, plus $10 for every extra hour (or portion of an hour). In the illustration, h represents the number of hours and c represents the cost. Find the cost if the ski is used for 2.5 hours.

Graph the hyperbola.

The arch of the underpass in the picture is a part of an ellipse. Find the equation of the arch.

Solve the system of equations by graphing.

Solve the system of equations by graphing.

Find the center and the length of a radius of the circle. x ² + y ² - 2 x - 6 y + 1 = 0

Find the center and the length of a radius of the circle. x ² + y ² - 8 x + 2 y = 0

Find the center and radius of a circle given an equation in standard form.

Graph the equation.

Find the vertex of the parabola and graph it.

Graph the function. f ( x ) = [ x ]

Solve the system of equations algebraically for real values of and .

Graph the equation.

Two similarly charged particles are shot together for an almost head-on collision, as in the illustration. They repel each other and travel the branches of the hyperbola given by How close do they get?

A Review of Basic Algebra

Graphs, Equations of Lines, and Functions

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

Miscellaneous Topics

Filters

Exam 10: Conic Sections and More Graphing

Graph the function and give the intervals on which F ( x ) is increasing, decreasing, or constant.

Find the length of a radius of this circle. x 2 + y 2 = 13

Find the center and radius of a circle given an equation in standard form.

Graph the function. f ( x ) = - [ x ] - 1

Graph the hyperbola.

A marina charges $20 to rent a jet ski for 1 hour, plus $10 for every extra hour (or portion of an hour). In the illustration, h represents the number of hours and c represents the cost. Find the cost if the ski is used for 2.5 hours.

Graph the hyperbola.

The arch of the underpass in the picture is a part of an ellipse. Find the equation of the arch.

Solve the system of equations by graphing.

Solve the system of equations by graphing.

Find the center and the length of a radius of the circle. x 2 + y 2 - 2 x - 6 y + 1 = 0

Find the center and the length of a radius of the circle. x 2 + y 2 - 8 x + 2 y = 0

Find the center and radius of a circle given an equation in standard form.

Graph the equation.

Find the vertex of the parabola and graph it.

Graph the function. f ( x ) = [ x ]

Solve the system of equations algebraically for real values of and .

Graph the equation.

Two similarly charged particles are shot together for an almost head-on collision, as in the illustration. They repel each other and travel the branches of the hyperbola given by How close do they get?

A Review of Basic Algebra

Graphs, Equations of Lines, and Functions

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

Miscellaneous Topics

Filters

Find the length of a radius of this circle. x ² + y ² = 13

Find the center and the length of a radius of the circle. x ² + y ² - 2 x - 6 y + 1 = 0

Find the center and the length of a radius of the circle. x ² + y ² - 8 x + 2 y = 0