Solving Quadratics Review
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the standard form of a quadratic equation?
Back
The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.
2.
FLASHCARD QUESTION
Front
What is the quadratic formula used for?
Back
The quadratic formula is used to find the roots of a quadratic equation and is given by x = (-b ± √(b² - 4ac)) / (2a).
3.
FLASHCARD QUESTION
Front
How do you complete the square for the equation x² + 6x - 4 = 36?
Back
To complete the square, rearrange the equation to x² + 6x = 40, then add (6/2)² = 9 to both sides to get (x + 3)² = 49.
4.
FLASHCARD QUESTION
Front
What are the roots of the equation x² + 6x - 4 = 36 after completing the square?
Back
The roots are x = 4 and x = -10.
5.
FLASHCARD QUESTION
Front
What is the first step in using the quadratic formula?
Back
Identify the coefficients a, b, and c from the quadratic equation in standard form.
6.
FLASHCARD QUESTION
Front
How do you solve the equation 2x² + 2x - 12 using the quadratic formula?
Back
Identify a = 2, b = 2, c = -12, then apply the quadratic formula to find the roots x = 2 and x = -3.
7.
FLASHCARD QUESTION
Front
What is the relationship between the roots of the equation 9k² = 225?
Back
The roots are k = -5 and k = 5, found by dividing both sides by 9 and taking the square root.
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