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Elementary and Intermediate Algebra
Mark Dugopolski, Southeastern Louisiana University
Nonlinear Systems and the Conic Sections

Enrich Your Math Word Power



For each mathematical term, choose the correct meaning.



1

nonlinear equation
A)an equation that is not lined up
B)an equation whose graph is a straight line
C)an equation whose graph is not a straight line
D)an exponential equation
2

parabola
A)the points in a plane that are equidistant from a point and a line
B)the points in a plane that are a fixed distance from a fixed point
C)the points in a plane that are equidistant from two fixed points
D)the points in a plane the sum of whose distances from two fixed points is a constant
3

directrix
A)the line y = x
B)the line of symmetry of a parabola
C)the x-axis
D)the fixed line in the definition of parabola
4

vertex of a parabola
A)the midpoint of the line segment joining the focus and directrix perpendicular to the directrix
B)the focus
C)the x-intercept
D)the endpoint
5

conic sections
A)the two halves of a cone
B)the vertex and focus
C)the curves obtained at the intersection of a cone and a plane
D)the asymptotes
6

axis of symmetry
A)the x-axis
B)the y-axis
C)the directrix
D)the line of symmetry of a parabola
7

circle
A)the points in a plane that are equidistant from a point and a line
B)the points in a plane that are a fixed distance from a fixed point
C)the points in a plane that are equidistant from two fixed points
D)the points in a plane the sum of whose distances from two fixed points is a constant
8

ellipse
A)the points in a plane that are equidistant from a point and a line
B)the points in a plane that are a fixed distance from a fixed point
C)the points in a plane that are equidistant from two fixed points
D)the points in a plane such that the sum of their distances from two fixed points is constant
9

hyperbola
A)the points in a plane that are equidistant from a point and a line
B)the points in a plane that are a fixed distance from a fixed point
C)the points in a plane such that the difference of their distances from two fixed points is constant
D)the points in a plane such that the sum of their distances from two fixed points is a constant
10

asymptotes
A)lines approached by a hyperbola
B)lines approached by parabolas
C)tangent lines to a circle
D)lines that pass through the vertices of an ellipse








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