Quadratic Formula
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Wayground Content
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14 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 do the coefficients A, B, and C represent in a quadratic equation?
Back
In the quadratic equation ax² + bx + c = 0, A is the coefficient of x², B is the coefficient of x, and C is the constant term.
3.
FLASHCARD QUESTION
Front
How do you identify A, B, and C from the equation 11r² + 6r = 6?
Back
Rearranging the equation to standard form gives 11r² + 6r - 6 = 0. Thus, A=11, B=6, C=-6.
4.
FLASHCARD QUESTION
Front
What is the Quadratic Formula?
Back
The Quadratic Formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation.
Tags
CCSS.HSA-REI.B.4B
5.
FLASHCARD QUESTION
Front
How do you apply the Quadratic Formula to solve 4v² - 1v - 18 = 0?
Back
Identify A=4, B=-1, C=-18. Then, substitute into the formula: v = (1 ± √((-1)² - 4(4)(-18))) / (2(4)). This gives v = 2.25 and v = -2.
Tags
CCSS.HSA-REI.B.4B
6.
FLASHCARD QUESTION
Front
What is the discriminant in the Quadratic Formula?
Back
The discriminant is the part of the formula under the square root: b² - 4ac. It determines the nature of the roots.
Tags
CCSS.HSA-REI.B.4B
7.
FLASHCARD QUESTION
Front
What does a positive discriminant indicate about the roots of a quadratic equation?
Back
A positive discriminant indicates that the quadratic equation has two distinct real roots.
Tags
CCSS.HSA-REI.B.4B
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