2016 AMC 12A Problem 7
Attempt Problem 7 of the 2016 AMC 12A below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2016 AMC 12A solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
7.
Which of these describes the graph of
two parallel lines
two intersecting lines
three lines that all pass through a common point
three lines that do not all pass through a common point
a line and a parabola
Answer: D
Solution:
Moving all terms to one side gives which factors as The graph is therefore the union of the lines and
The first two lines intersect at the origin, but the third line is parallel to and does not pass through the origin. So the graph consists of three lines that do not all pass through a common point.
Thus, the correct answer is D.
Problem 7 in Other Years
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