Question 1

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

Accepted Answer

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

Question 2

Graph the equation.

Accepted Answer

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

Question 3

Select the graph of the ellipse.

Accepted Answer

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

Question 4

Graph the equation.

Accepted Answer

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

Question 5

The particle shown in the illustration approaches the nucleus at the origin along the path     How close does the particle come to the nucleus?

Accepted Answer

A)  7 units 
B)  8 units 
C)  4 units 
D)  9 units 
E)  6 units 
A)  7 units 
B)  8 units 
C)  4 units 
D)  9 units 
E)  6 units

Question 6

Write the equation of the circle that satisfies the following conditions. Express the final equation in the form x  2 + y  2 + Dx + Ey + F = 0. Center at the origin and r = 4

Accepted Answer

A)  x  2 + y  2 = 0 
B)  x  2 - y  2 - 16 = 0 
C)  x  2 - y  2 + 16 = 0 
D)  x  2 + y  2 + 16 = 0 
E)  x  2 + y  2 - 16 = 0 
A)  x  2 + y  2 = 0 
B)  x  2 - y  2 - 16 = 0 
C)  x  2 - y  2 + 16 = 0 
D)  x  2 + y  2 + 16 = 0 
E)  x  2 + y  2 - 16 = 0

Question 7

If the orbit of the comet is approximated by the equation   , how far is it from the sun at the vertex of the orbit? Distances are measured in astronomical units (AU).   __________ AU

Accepted Answer

The answer of If the orbit of the comet is...

Question 8

Find the equation of the circle that satisfies the following conditions. Express the final equation in the form x  2 + y  2 + Dx + Ey + F = 0. Center at (0, -1) and r = 6

Accepted Answer

A)  x  2 + y  2 - 2 y - 37 = 0 
B)  x  2 + y  2 - 2 y + 1 = 0 
C)  x  2 + y  2 + 2 y - 35 = 0 
D)  x  2 + y  2 + 2 y + 1 = 0 
A)  x  2 + y  2 - 2 y - 37 = 0 
B)  x  2 + y  2 - 2 y + 1 = 0 
C)  x  2 + y  2 + 2 y - 35 = 0 
D)  x  2 + y  2 + 2 y + 1 = 0

Question 9

Select the graph of the ellipse.

Accepted Answer

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

Question 10

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

Accepted Answer

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

Question 11

Solve the system of equations by graphing.

Accepted Answer

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

Question 12

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

Accepted Answer

The answer of Solve the system of equations algebraically for...

Question 13

The elliptical track in the illustration is bounded by the ellipses   and     Find the area of the track. ( Hint : The area of an ellipse is   .)

Accepted Answer

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

Question 14

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 15

A cab company charges $3 for a trip up to 1 mile, and $2 for every extra mile (or portion of a mile). In the illustration, m represents the number of miles traveled and c represents the cost. Find the cost to ride   miles.

Accepted Answer

A)  $34 
B)  $26 
C)  $19 
D)  $29 
E)  $14 
A)  $34 
B)  $26 
C)  $19 
D)  $29 
E)  $14

Question 16

Graph the hyperbola.

Accepted Answer

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

Question 17

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

Accepted Answer

A)    constant on (-5, 0) increasing on (0, 5) 
B)    constant on   increasing on   
C)    constant on   increasing on   
D)    constant on   increasing on   
E)    constant on   increasing on   
A)    constant on (-5, 0) increasing on (0, 5) 
B)    constant on   increasing on   
C)    constant on   increasing on   
D)    constant on   increasing on   
E)    constant on   increasing on

Question 18

What is the equation of the outer edge of the pool table displayed below, if l = 56 and w = 36?

Accepted Answer

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

Question 19

Find the equation of the circle that satisfies the following conditions. Express the final equation in the form x  2 + y  2 + Dx + Ey + F = 0. Tangent to the x axis, a radius of length 2, and abscissa of center is -1

Accepted Answer

A)  x  2 + y  2 - 2 x - 4 y + 1 = 0 and x  2 + y  2 - 2 x + 4 y + 1 = 0 
B)  x  2 + y  2 + 2 x - 4 y + 1 = 0 
C)  x  2 + y  2 + 2 x - 4 y + 1 = 0 and x  2 + y  2 + 2 x + 4 y + 1 = 0 
D)  x  2 + y  2 + 2 x + 4 y + 1 = 0 
E)  x  2 + y  2 - 2 x + 4 y + 1 = 0 
A)  x  2 + y  2 - 2 x - 4 y + 1 = 0 and x  2 + y  2 - 2 x + 4 y + 1 = 0 
B)  x  2 + y  2 + 2 x - 4 y + 1 = 0 
C)  x  2 + y  2 + 2 x - 4 y + 1 = 0 and x  2 + y  2 + 2 x + 4 y + 1 = 0 
D)  x  2 + y  2 + 2 x + 4 y + 1 = 0 
E)  x  2 + y  2 - 2 x + 4 y + 1 = 0

Question 20

A parabolic arch spans a stream 220 feet wide. How high above the stream must the arch be to give a minimum clearance of 20 feet over a channel in the center that is 180 feet wide?

Accepted Answer

A)  20 feet 
B)  31.325 feet 
C)  60.5 feet 
D)  80.5 feet 
E)  34.725 feet 
A)  20 feet 
B)  31.325 feet 
C)  60.5 feet 
D)  80.5 feet 
E)  34.725 feet

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

Graph the equation.

Select the graph of the ellipse.

Graph the equation.

The particle shown in the illustration approaches the nucleus at the origin along the path How close does the particle come to the nucleus?

Write the equation of the circle that satisfies the following conditions. Express the final equation in the form x ² + y ² + Dx + Ey + F = 0. Center at the origin and r = 4

If the orbit of the comet is approximated by the equation , how far is it from the sun at the vertex of the orbit? Distances are measured in astronomical units (AU). __________ AU

Find the equation of the circle that satisfies the following conditions. Express the final equation in the form x ² + y ² + Dx + Ey + F = 0. Center at (0, -1) and r = 6

Select the graph of the ellipse.

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

Solve the system of equations by graphing.

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

The elliptical track in the illustration is bounded by the ellipses and Find the area of the track. ( Hint : The area of an ellipse is .)

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

A cab company charges $3 for a trip up to 1 mile, and $2 for every extra mile (or portion of a mile). In the illustration, m represents the number of miles traveled and c represents the cost. Find the cost to ride miles.

Graph the hyperbola.

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

What is the equation of the outer edge of the pool table displayed below, if l = 56 and w = 36?

Find the equation of the circle that satisfies the following conditions. Express the final equation in the form x ² + y ² + Dx + Ey + F = 0. Tangent to the x axis, a radius of length 2, and abscissa of center is -1

A parabolic arch spans a stream 220 feet wide. How high above the stream must the arch be to give a minimum clearance of 20 feet over a channel in the center that is 180 feet wide?

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

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

Graph the equation.

Select the graph of the ellipse.

Graph the equation.

The particle shown in the illustration approaches the nucleus at the origin along the path How close does the particle come to the nucleus?

Write the equation of the circle that satisfies the following conditions. Express the final equation in the form x 2 + y 2 + Dx + Ey + F = 0. Center at the origin and r = 4

If the orbit of the comet is approximated by the equation , how far is it from the sun at the vertex of the orbit? Distances are measured in astronomical units (AU). __________ AU

Find the equation of the circle that satisfies the following conditions. Express the final equation in the form x 2 + y 2 + Dx + Ey + F = 0. Center at (0, -1) and r = 6

Select the graph of the ellipse.

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

Solve the system of equations by graphing.

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

The elliptical track in the illustration is bounded by the ellipses and Find the area of the track. ( Hint : The area of an ellipse is .)

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

A cab company charges $3 for a trip up to 1 mile, and $2 for every extra mile (or portion of a mile). In the illustration, m represents the number of miles traveled and c represents the cost. Find the cost to ride miles.

Graph the hyperbola.

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

What is the equation of the outer edge of the pool table displayed below, if l = 56 and w = 36?

Find the equation of the circle that satisfies the following conditions. Express the final equation in the form x 2 + y 2 + Dx + Ey + F = 0. Tangent to the x axis, a radius of length 2, and abscissa of center is -1

A parabolic arch spans a stream 220 feet wide. How high above the stream must the arch be to give a minimum clearance of 20 feet over a channel in the center that is 180 feet wide?

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

Write the equation of the circle that satisfies the following conditions. Express the final equation in the form x ² + y ² + Dx + Ey + F = 0. Center at the origin and r = 4

Find the equation of the circle that satisfies the following conditions. Express the final equation in the form x ² + y ² + Dx + Ey + F = 0. Center at (0, -1) and r = 6

Find the equation of the circle that satisfies the following conditions. Express the final equation in the form x ² + y ² + Dx + Ey + F = 0. Tangent to the x axis, a radius of length 2, and abscissa of center is -1