Math Practice Problems - Quadratic X-Intercepts

Quadratic X-Intercepts - Sample Math Practice Problems

The math problems below can be generated by MathScore.com, a math practice program for schools and individual families. References to complexity and mode refer to the overall difficulty of the problems as they appear in the main program. In the main program, all problems are automatically graded and the difficulty adapts dynamically based on performance. Answers to these sample questions appear at the bottom of the page. This page does not grade your responses.

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Complexity=1

Find the x-intercepts of each function. Separate multiple answers by commas. Example: x=-3/2,2
If there is no x-intercept, write "none".

#	Problem	Correct Answer	Your Answer
1	f(x) = x² - 18x + 81	x-intercepts:
Solution To find the x-intercepts, set the trinomial equal to 0. x² - 18x + 81 = 0 Factor the trinomial. ( x - 9)² = 0 Solve for x. x - 9 = 0 Therefore, the x-intercept is 9 Alternate Solution You can also use the quadratic formula to find the x-intercepts.

#	Problem	Correct Answer	Your Answer
2	f(x) = x² + 20x + 100	x-intercepts:
Solution To find the x-intercepts, set the trinomial equal to 0. x² + 20x + 100 = 0 Factor the trinomial. ( x + 10)² = 0 Solve for x. x + 10 = 0 Therefore, the x-intercept is -10 Alternate Solution You can also use the quadratic formula to find the x-intercepts.

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