Algebra 2 Final
Flashcard
•
Mathematics
•
12th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a system of inequalities?
Back
A system of inequalities is a set of two or more inequalities with the same variables. The solution is the region where the graphs of the inequalities overlap.
2.
FLASHCARD QUESTION
Front
How do you find the zeros of a polynomial equation?
Back
To find the zeros of a polynomial equation, set the equation equal to zero and solve for the variable. For example, for (x+10)(x-2) = 0, the zeros are x = -10 and x = 2.
3.
FLASHCARD QUESTION
Front
What is the distance formula?
Back
The distance formula is used to find the distance between two points (x1, y1) and (x2, y2) in a coordinate plane: d = √((x2 - x1)² + (y2 - y1)²).
4.
FLASHCARD QUESTION
Front
How do you simplify square roots?
Back
To simplify square roots, factor the number under the root into its prime factors and look for pairs. For example, √45 = √(9*5) = √9 * √5 = 3√5.
5.
FLASHCARD QUESTION
Front
What is the quadratic formula?
Back
The quadratic formula is used to find the solutions of a quadratic equation ax² + bx + c = 0: x = (-b ± √(b² - 4ac)) / (2a).
6.
FLASHCARD QUESTION
Front
What does it mean for a function to be quadratic?
Back
A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax² + bx + c, where a, b, and c are constants and a ≠ 0.
7.
FLASHCARD QUESTION
Front
What is the vertex of a parabola?
Back
The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards. It can be found using the formula (-b/(2a), f(-b/(2a))).
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