Math Practice Problems - Quadratic Formula

Quadratic Formula - 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, Mode=easy

Solve using the quadratic formula, separating answers with commas. Sample answers: "4,3/2", "4 + sqrt(4),4 - sqrt(3)", "(1+2sqrt(3))/2,(1-2sqrt(3))/2". If there is no solution, write "no solution".

Problem

Correct Answer

Your Answer

-x² - x + 20 = 0

x =

Solution
Based on ax² + bx + c, we have:
a = -1, b = -1, c = 20

Plugging into the quadratic formula results in these two answers:

Simplifying...

Answer:
^-5, 4

Problem

Correct Answer

Your Answer

-x² + 2x + 3 = 0

x =

Solution
Based on ax² + bx + c, we have:
a = -1, b = 2, c = 3

Plugging into the quadratic formula results in these two answers:

Simplifying...

Answer:
^-1, 3

Complexity=1, Mode=normal

Problem

Correct Answer

Your Answer

-x² - 11x - 7 = 0

x =

Solution
Based on ax² + bx + c, we have:
a = -1, b = -11, c = -7

Plugging into the quadratic formula results in these two answers:

Simplifying...

Answer:

,

Problem

Correct Answer

Your Answer

x² + 9x - 2 = 0

x =

Solution
Based on ax² + bx + c, we have:
a = 1, b = 9, c = -2

Plugging into the quadratic formula results in these two answers:

Simplifying...

Answer:

,

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