ABEKA Algebra 2 Flashcards

Study Notes

Algebra Concepts

Variables: Represent numbers that change, commonly denoted as x, y, or other letters.
Constants: Fixed values, not associated with variables.
Coefficients: Numbers directly adjacent to variables, indicating multiplication.

Operations and Functions

Distribution: A process where a number outside parentheses multiplies all terms within the parentheses.
Combining Like Terms: The method of simplifying algebraic expressions by grouping similar terms.
Independent Variable (X): Represents inputs in equations; can vary independently.
Dependent Variable (Y): Represents outputs in equations; changes in response to the independent variable.

Inequalities and Relations

Inequality: A statement involving less than, greater than, or equivalent expressions.
Greater Than and Less Than: Represented with open circles on a number line.
Greater Than or Equal To & Less Than or Equal To: Indicated with closed circles, showing inclusive limits.

Graphing and Functions

Relation: Composed of ordered pairs; includes an independent and a dependent variable.
Function: A special relation where each X value corresponds to only one Y value, tested using the vertical line test.
Ordered Pair: Coordinates used to designate points in a coordinate plane.

Types of Functions

Linear Function: Graph results in a straight line, expressed as Y = MX + B.
Quadratic Function: Formed as y = x², typically creating a parabolic shape.
Solutions to a Quadratic: Referred to as roots, x-intercepts, or zeros.

Systems and Equations

System of Linear Equations: Involves two or more linear functions that may have zero, one, or infinitely many solutions.

Special Terms in Algebra

Radical: Equivalent to taking the square root of a number.
Axis of Symmetry: A line that divides a shape or graph into two mirrored halves.
Vertex: The point at which a quadratic function achieves its maximum or minimum value.

Advanced Concepts

Binomial Theorem: Provides the coefficients of terms in polynomial expansions.
Quadratic Formula: Used for solving quadratic equations, represented as b ± √(b² - 4ac) / 2a.
FOIL Method: A technique for multiplying two binomials, standing for First, Outer, Inner, Last.
Difference of Squares: An algebraic identity defined as b² = (a - b)(a + b).

Trigonometric Functions

Imaginary Number: Indicated by a cursive i, used within square root expressions.
Tangent: Defined as opposite side over adjacent side in a right triangle.
Cosine: Ratio of the adjacent side over the hypotenuse.
Sine: Ratio of the opposite side over the hypotenuse.

Description

Test your knowledge of key algebraic concepts with these flashcards designed for ABEKA Algebra 2. Each card contains a definition and example of important terms such as variables, constants, coefficients, and distribution. Perfect for reinforcing your understanding before exams.