ORCA Midterm Review
Flashcard
•
Mathematics
•
12th Grade
•
Practice Problem
•
Hard
+7
Standards-aligned
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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 y = ax² + bx + c, where a, b, and c are constants and a ≠ 0.
2.
FLASHCARD QUESTION
Front
How do you find the vertex of a parabola given by the equation y = ax² + bx + c?
Back
The vertex can be found using the formula x = -b/(2a). Substitute this x-value back into the equation to find the y-coordinate.
3.
FLASHCARD QUESTION
Front
What does the discriminant of a quadratic equation tell us?
Back
The discriminant (D = b² - 4ac) indicates the nature of the roots: D > 0 means two distinct real roots, D = 0 means one real root, and D < 0 means no real roots.
Tags
CCSS.HSA-REI.B.4B
4.
FLASHCARD QUESTION
Front
What is the formula for the area of a triangle?
Back
The area of a triangle is given by A = 1/2 * base * height.
Tags
CCSS.6.G.A.1
5.
FLASHCARD QUESTION
Front
How do you solve an absolute value equation like |x + 3| = 5?
Back
To solve |x + 3| = 5, set up two equations: x + 3 = 5 and x + 3 = -5. Solve each for x.
6.
FLASHCARD QUESTION
Front
What is the difference between a rational and an irrational number?
Back
A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a simple fraction.
Tags
CCSS.8.NS.A.1
7.
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
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