Algebra 1 - Unit 8: Quadratic Equations Flashcards

Study Notes

Quadratic Equations Study Notes

Completing the Square: Technique used to rewrite a quadratic into a form that includes a perfect square, facilitating easier solutions and graphing.
Irrational Numbers: Numbers that cannot be expressed as a fraction ( \frac{a}{b} ) where ( a ) and ( b ) are integers; examples include ( \sqrt{2} ) and ( \pi ).
Perfect Square: An expression like ( x^2 ) that can be expressed as ( (x)^2 ), indicating multiplication of a number by itself.
Plus/Minus Symbol (±): Represents both the positive and negative values of a number or indicates two possible solutions in equations.
Quadratic Formula: Formula ( x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} ) used to find solutions for the quadratic equation ( ax^2 + bx + c = 0 ), applicable where ( a \neq 0 ).
Rational Numbers: Numbers that can be represented as a fraction, with both numerator and denominator being integers; for instance, ( \frac{1}{2} ) and ( 3 ).
Square Root: The positive value that, when multiplied by itself, equals the original number ( n ); also denotes the length of the sides of a square with area ( n ).
Zero-Product Property: States that if the product of multiple factors equals zero, at least one factor must be zero, simplifying solving quadratic equations.
Zeros of a Function: The ( x )-coordinates where the function ( f(x) = 0 ); these points are critical for graphing and analyzing the behavior of the function.

Description

Test your knowledge with these flashcards covering key concepts from Algebra 1, Unit 8 on Quadratic Equations. Learn important terms such as completing the square, irrational numbers, and perfect squares. Ideal for students looking to strengthen their understanding of quadratic functions.