5
QuizMultiple Choice

Solving Linear-Quadratic Systems

Question 5 • Common Core Algebra I 2014 - MA3109 B-CR

The product of two numbers is 713. The first number is 9 more than the second number. Which equation can be used to find x, the greater number?

Answer
A
x(x − 9) = 713
B
x(x + 9) = 713
C
x2 − 9 = 713
D
x2 + 9 = 713

Explanation

Let x be the greater number. Since the first number is 9 more than the second, the smaller number is x − 9. Their product is 713, so the equation is x(x − 9) = 713. This matches choice A, “x(x − 9) = 713.”

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