Elementary and Intermediate Algebra

Mark Dugopolski, Southeastern Louisiana University

Nonlinear Systems and the Conic Sections

Nonlinear Systems of Equations

Warm-Ups


1	The graph of y = x² is a parabola.
		A)	TRUE
		B)	FALSE


2	The graph of y = \| x \| is a straight line.
		A)	TRUE
		B)	FALSE


3	The point (3, -4) satisfies both x² + y² = 25 and y = (5x + 1)^1/2.
		A)	TRUE
		B)	FALSE


4	The graphs of y = x^1/2 and y = -x - 2 do not intersect.
		A)	TRUE
		B)	FALSE


5	Substitution is the only method for eliminating a variable when solving a nonlinear system.
		A)	TRUE
		B)	FALSE


6	If Bob paints a fence in x hours, then he paints 1/x of the fence per hour.
		A)	TRUE
		B)	FALSE


7	In a triangle whose angles are 30^o, 60^o, and 90^o, the length of the side opposite the 30^o angle is one-half the length of the hypotenuse.
		A)	TRUE
		B)	FALSE


8	The formula V = LWH gives the volume of a rectangular box in which the sides have lengths L, W, and H.
		A)	TRUE
		B)	FALSE


9	The surface area of a rectangular box is 2LW + 2WH + 2LH.
		A)	TRUE
		B)	FALSE


10	The area of a right triangle is one-half the product of the lengths of its legs.
		A)	TRUE
		B)	FALSE

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