Question 1

Solve the system of equations by applying the substitution method.

Accepted Answer

A)  (5, 7) 
B)  (5, 7), (-5, -7) 
C)  (-7, -5) 
D)  no solution 
A)  (5, 7) 
B)  (5, 7), (-5, -7) 
C)  (-7, -5) 
D)  no solution

Question 2

Solve the system of equations by applying the elimination method.

Accepted Answer

{(10, -124

Question 3

Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola.

Accepted Answer

The answer of Identify the conic section given by the...

Question 4

Find the standard form of the equation of a hyperbola with center (0, 0), transverse x-axis, and asymptotes   and

Accepted Answer

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

Question 5

Find the equation of the directrix of the parabola with equation   - 12y - 12x + 12 = 0.

Accepted Answer

The answer of Find the equation of the directrix of...

Question 6

Identify the conic section as a parabola, ellipse, circle, or hyperbola:The set of all points whose distance from the point (-2, 15) plus the distance from the point   is exactly 16.

Accepted Answer

A)  parabola 
B)  ellipse 
C)  circle 
D)  hyperbola 
A)  parabola 
B)  ellipse 
C)  circle 
D)  hyperbola

Question 7

Find the area enclosed by the system of inequalities:   +   < 1y < 0

Accepted Answer

A)  ?/4 square units 
B)  ?/2 square units 
C)  ? square units 
D)  The region is not bounded (the area is infinite) 
A)  ?/4 square units 
B)  ?/2 square units 
C)  ? square units 
D)  The region is not bounded (the area is infinite)

Question 8

Find the standard form of the ellipse with the following equation.

Accepted Answer

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

Question 9

Find the standard form of the equation of the hyperbola from the given graph.

Accepted Answer

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

Question 10

Find an equation for the parabola with focus (1, 11) and directrix y = 7.

Accepted Answer

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

Question 11

Find an equation for the parabola with vertex (2, 8) and focus (4, 8).

Accepted Answer

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

Question 12

Solve the system of equations by applying the elimination method.

Accepted Answer

The answer of Solve the system of equations by applying...

Question 13

Graph each equation and find the point(s) of intersection.

Accepted Answer

A)  (-4, 0) 
B)  (0, 4) 
C)  (0, 1) 
D)  no solution 
A)  (-4, 0) 
B)  (0, 4) 
C)  (0, 1) 
D)  no solution

Question 14

Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola.

Accepted Answer

A)  parabola 
B)  ellipse 
C)  circle 
D)  hyperbola 
A)  parabola 
B)  ellipse 
C)  circle 
D)  hyperbola

Question 15

Graph the system of inequalities.

Accepted Answer

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

Question 16

Identify the conic section as a parabola, ellipse, circle, or hyperbola:The set of all points exactly four units from the point (-14, -17)

Accepted Answer

A)  parabola 
B)  ellipse 
C)  circle 
D)  hyperbola 
A)  parabola 
B)  ellipse 
C)  circle 
D)  hyperbola

Question 17

Find the length of the latus rectum of the parabola with equation   = -8(x - 7).

Accepted Answer

The answer of Find the length of the latus rectum...

Question 18

Find the standard form of the hyperbola with the following equation.2   - 3   - 20x - 48y = 148

Accepted Answer

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

Question 19

Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola.

Accepted Answer

The answer of Identify the conic section given by the...

Question 20

Graph the ellipse.

Accepted Answer

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

Solve the system of equations by applying the substitution method.

Solve the system of equations by applying the elimination method.

Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola.

Find the standard form of the equation of a hyperbola with center (0, 0), transverse x-axis, and asymptotes and

Find the equation of the directrix of the parabola with equation - 12y - 12x + 12 = 0.

Identify the conic section as a parabola, ellipse, circle, or hyperbola:The set of all points whose distance from the point (-2, 15) plus the distance from the point is exactly 16.

Find the area enclosed by the system of inequalities: + < 1y < 0

Find the standard form of the ellipse with the following equation.

Find the standard form of the equation of the hyperbola from the given graph.

Find an equation for the parabola with focus (1, 11) and directrix y = 7.

Find an equation for the parabola with vertex (2, 8) and focus (4, 8).

Solve the system of equations by applying the elimination method.

Graph each equation and find the point(s) of intersection.

Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola.

Graph the system of inequalities.

Identify the conic section as a parabola, ellipse, circle, or hyperbola:The set of all points exactly four units from the point (-14, -17)

Find the length of the latus rectum of the parabola with equation = -8(x - 7).

Find the standard form of the hyperbola with the following equation.2 - 3 - 20x - 48y = 148

Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola.

Graph the ellipse.

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Exam 8: Conics and Systems of Nonlinear Equations and Inequalities

Solve the system of equations by applying the substitution method.

Solve the system of equations by applying the elimination method.

Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola.

Find the standard form of the equation of a hyperbola with center (0, 0), transverse x-axis, and asymptotes and

Find the equation of the directrix of the parabola with equation - 12y - 12x + 12 = 0.

Identify the conic section as a parabola, ellipse, circle, or hyperbola:The set of all points whose distance from the point (-2, 15) plus the distance from the point is exactly 16.

Find the area enclosed by the system of inequalities: + < 1y < 0

Find the standard form of the ellipse with the following equation.

Find the standard form of the equation of the hyperbola from the given graph.

Find an equation for the parabola with focus (1, 11) and directrix y = 7.

Find an equation for the parabola with vertex (2, 8) and focus (4, 8).

Solve the system of equations by applying the elimination method.

Graph each equation and find the point(s) of intersection.

Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola.

Graph the system of inequalities.

Identify the conic section as a parabola, ellipse, circle, or hyperbola:The set of all points exactly four units from the point (-14, -17)

Find the length of the latus rectum of the parabola with equation = -8(x - 7).

Find the standard form of the hyperbola with the following equation.2 - 3 - 20x - 48y = 148

Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola.

Graph the ellipse.

Equations and Inequalities

Graphs

Functions and Their Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Systems of Linear Equations and Inequalities

Matrices

Sequences, Series, and Probability

Filters