Solving Quadratics and Quadratic Formula

Flashcard
•
Mathematics
•
9th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a quadratic equation?
Back
A quadratic equation is a polynomial equation of degree 2, typically in the form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.
2.
FLASHCARD QUESTION
Front
What is the quadratic formula?
Back
The quadratic formula is used to find the solutions of a quadratic equation and is given by x = (-b ± √(b² - 4ac)) / (2a).
Tags
CCSS.HSA-REI.B.4B
3.
FLASHCARD QUESTION
Front
What does the discriminant (b² - 4ac) indicate?
Back
The discriminant indicates the nature of the roots of a quadratic equation: if it's positive, there are two distinct real roots; if zero, there is one real root; if negative, there are two complex roots.
Tags
CCSS.HSA-REI.B.4B
4.
FLASHCARD QUESTION
Front
Solve using the quadratic formula: 2x² - 9x - 35 = 0
Back
x = -5/2 and x = 7.
Tags
CCSS.HSA-REI.B.4B
5.
FLASHCARD QUESTION
Front
Solve: 2x² + 7x - 15 = 0
Back
x = -5 and x = 1.5.
Tags
CCSS.HSA-REI.B.4B
6.
FLASHCARD QUESTION
Front
Use the quadratic formula to solve: n² = 9n - 20
Back
n = 4 and n = 5.
Tags
CCSS.HSA-REI.B.4B
7.
FLASHCARD QUESTION
Front
Solve using the quadratic formula: x² + 4x - 40 = -8
Back
x = -8 and x = 4.
Tags
CCSS.HSA-REI.B.4B
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