Solving Quadratic Equations

Flashcard
•
Mathematics
•
8th - 10th Grade
•
Hard
Standards-aligned
Wayground Content
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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
How do you solve the quadratic equation 2x² + 2x - 12 = 0?
Back
To solve 2x² + 2x - 12 = 0, first divide by 2 to simplify: x² + x - 6 = 0. Then factor to (x + 3)(x - 2) = 0, giving solutions x = 2 and x = -3.
Tags
CCSS.HSA-REI.B.4B
3.
FLASHCARD QUESTION
Front
Identify the values of a, b, and c in the equation 4x² - 8x = 3.
Back
In the equation 4x² - 8x = 3, rewrite it as 4x² - 8x - 3 = 0. Here, a = 4, b = -8, and c = -3.
4.
FLASHCARD QUESTION
Front
What is the first step in solving a quadratic equation by factoring?
Back
The first step in solving a quadratic equation by factoring is to factor out the greatest common factor (GCF) if possible.
Tags
CCSS.HSA-REI.B.4B
5.
FLASHCARD QUESTION
Front
What are the solutions to the equation (x + 2)(x - 3) = 0?
Back
The solutions to the equation (x + 2)(x - 3) = 0 are x = -2 and x = 3.
Tags
CCSS.HSA-REI.B.4B
6.
FLASHCARD QUESTION
Front
What does it mean for a quadratic equation to have real solutions?
Back
A quadratic equation has real solutions if the discriminant (b² - 4ac) is greater than or equal to zero.
Tags
CCSS.HSA-REI.B.4B
7.
FLASHCARD QUESTION
Front
What is the quadratic formula?
Back
The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the solutions of a quadratic equation.
Tags
CCSS.HSA-REI.B.4B
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