5
QuizMultiple Choice

Solving One-Variable Equations with Systems

Question 5 • AZ-Common Core Algebra II A

What are the two solutions of 2x2 = –x2 – 5x – 1?

Answer
A
the y-coordinates of the intersection points of the graphs of y = 2x2 and y = –x2 – 5x – 1
B
the x-coordinates of the x-intercepts of the graphs of y = 2x2 and y = –x2 – 5x – 1
C
the x-coordinates of the intersection points of the graphs of y = 2x2 and y = –x2 – 5x – 1
D
the y-coordinates of the y-intercepts of the graphs of y = 2x2 and y = –x2 – 5x – 1

Explanation

A solution is an x-value that makes the two expressions equal. On the graphs, that means the point has the same y-value on both curves, so it is an intersection point; the solutions are the x-coordinates of those points. Therefore, the correct choice is “the x-coordinates of the intersection points.”

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