5
QuizMultiple Choice

Solving One-Variable Equations with Systems

Question 5 • AZ-Common Core Algebra II A

What are the two solutions of x2 – 2x – 4 = –3x + 9?

Answer
A
the y-coordinates of the y-intercepts of the graphs of y = x2 – 2x – 4 and y = –3x + 9
B
the x-coordinates of the x-intercepts of the graphs of y = x2 – 2x – 4 and y = –3x + 9
C
the y-coordinates of the intersection points of the graphs of y = x2 – 2x – 4 and y = –3x + 9
D
the x-coordinates of the intersection points of the graphs of y = x2 – 2x – 4 and y = –3x + 9

Explanation

The solutions are the x-values that make the two expressions equal, so they are the x-coordinates where the graphs intersect. Setting the expressions equal gives x² − 2x − 4 = −3x + 9, or x² + x − 13 = 0. Thus the correct choice is “the x-coordinates of the intersection points.”

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