Advanced Math practice question

Answer: 9

Set the expressions for y equal: x² = x + 6, so x² − x − 6 = 0 and (x − 3)(x + 2) = 0. The solutions are x = 3, giving y = 9, and x = −2, giving y = 4. The greater y-value is 9.

Common wrong answers

If you answered 3

3 is an x-value, not a y-value. Substitute it: y = 3² = 9.

If you answered 4

4 is the y-value at x = −2, the smaller of the two solutions. The greater one is at x = 3.

If you answered 6

6 is the constant in y = x + 6, not a y-value of a solution.

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