Question 1

Select the graph of the ellipse.

Accepted Answer

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

Question 2

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

Accepted Answer

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

Question 3

Graph the equation.

Accepted Answer

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

Question 4

Refer to the illustration. How far does a point on the tip of a rotor blade travel when it makes one complete revolution? The length of the blade   is equal to 17 feet.

Accepted Answer

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

Question 5

By determining the difference of the distances between the ship shown in the illustration and two radio transmitters, the LORAN system places the ship on the hyperbola     If the ship is also 5 miles out to sea, find its coordinates.

Accepted Answer

A)  (21, 5) 
B)  (25, 5) 
C)  (22, 5) 
D)  (20, 5) 
E)  (26, 5) 
A)  (21, 5) 
B)  (25, 5) 
C)  (22, 5) 
D)  (20, 5) 
E)  (26, 5)

Question 6

Graph the function.

Accepted Answer

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D)    
E)    
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E)

Question 7

Find the vertex of the parabola and graph it.

Accepted Answer

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

Question 8

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

Accepted Answer

A)    increasing on   decreasing on   increasing on   
B)    increasing on   decreasing on   increasing on   
C)    increasing on   decreasing on   increasing on   
D)    decreasing on   increasing on   decreasing on   
E)    increasing on   decreasing on [0, 1) increasing on   
A)    increasing on   decreasing on   increasing on   
B)    increasing on   decreasing on   increasing on   
C)    increasing on   decreasing on   increasing on   
D)    decreasing on   increasing on   decreasing on   
E)    increasing on   decreasing on [0, 1) increasing on

Question 9

Solve the system of equations algebraically for real values of   and

Accepted Answer

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

Question 10

Graph the equation.

Accepted Answer

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

Question 11

Write the equation in standard form.

Accepted Answer

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E)

Question 12

Joan wants to jog   miles on a circular track   mile in diameter. How many times must she circle the track?

Accepted Answer

A)  45.84 
B)  11.46 
C)  22.92 
D)  5.73 
E)  2.86 
A)  45.84 
B)  11.46 
C)  22.92 
D)  5.73 
E)  2.86

Question 13

Graph the equation.

Accepted Answer

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

Question 14

Find the vertex of the parabola and graph it.

Accepted Answer

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

Question 15

Graph the hyperbola.

Accepted Answer

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D)    
E)    
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B)    
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D)    
E)

Question 16

Suppose the two "legs" of the compass shown in the illustration are adjusted so that the distance between the pointed ends is 3 inches. What will the area of the circle be, if   ?

Accepted Answer

A)  28.26 
B)  18.84 
C)  3.1415926536 
D)  6 
E)  none of these 
A)  28.26 
B)  18.84 
C)  3.1415926536 
D)  6 
E)  none of these

Question 17

One section of a suspension bridge hangs between two towers that are 40 feet above the surface and 300 feet apart.   A cable strung between the tops of the two towers is in the shape of a parabola with its vertex 20 feet above the surface. With axes drawn as indicated in the figure, find the equation of the parabola.

Accepted Answer

A)  x  2 - 563 y + 45,000 = 0 
B)  x  2 - 1,125 y + 22,500 = 0 
C)  x  2 - 695 y + 55,600 = 0 
D)  x  2 - 1,390 y + 27,800 = 0 
E)  x  2 - 1,100 y + 22,000 = 0 
A)  x  2 - 563 y + 45,000 = 0 
B)  x  2 - 1,125 y + 22,500 = 0 
C)  x  2 - 695 y + 55,600 = 0 
D)  x  2 - 1,390 y + 27,800 = 0 
E)  x  2 - 1,100 y + 22,000 = 0

Select the graph of the ellipse.

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

Graph the equation.

Refer to the illustration. How far does a point on the tip of a rotor blade travel when it makes one complete revolution? The length of the blade is equal to 17 feet.

By determining the difference of the distances between the ship shown in the illustration and two radio transmitters, the LORAN system places the ship on the hyperbola If the ship is also 5 miles out to sea, find its coordinates.

Graph the function.

Find the vertex of the parabola and graph it.

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

Solve the system of equations algebraically for real values of and

Graph the equation.

Write the equation in standard form.

Joan wants to jog miles on a circular track mile in diameter. How many times must she circle the track?

Graph the equation.

Find the vertex of the parabola and graph it.

Graph the hyperbola.

Suppose the two "legs" of the compass shown in the illustration are adjusted so that the distance between the pointed ends is 3 inches. What will the area of the circle be, if ?

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

Select the graph of the ellipse.

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

Graph the equation.

Refer to the illustration. How far does a point on the tip of a rotor blade travel when it makes one complete revolution? The length of the blade is equal to 17 feet.

By determining the difference of the distances between the ship shown in the illustration and two radio transmitters, the LORAN system places the ship on the hyperbola If the ship is also 5 miles out to sea, find its coordinates.

Graph the function.

Find the vertex of the parabola and graph it.

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

Solve the system of equations algebraically for real values of and

Graph the equation.

Write the equation in standard form.

Joan wants to jog miles on a circular track mile in diameter. How many times must she circle the track?

Graph the equation.

Find the vertex of the parabola and graph it.

Graph the hyperbola.

Suppose the two "legs" of the compass shown in the illustration are adjusted so that the distance between the pointed ends is 3 inches. What will the area of the circle be, if ?

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