Algebra 1 EOC Vocab Review

Algebra 1 Vocabulary Review

• Coefficient: A number placed in front of a variable that indicates multiplication (e.g., in 3x, 3 is the coefficient).
• Constant: A fixed value that does not change over time or in varying mathematical contexts.
• Coordinate Plane: A two-dimensional plane defined by the intersection of the x-axis and y-axis.
• Irrational Number: A number that cannot be expressed as a simple fraction, often represented by non-repeating, non-terminating decimals (e.g., π, √2).
• Like Terms: Terms in an expression that contain the same variable raised to the same power, allowing for combination (e.g., 2x and 5x).
• Rational Number: Any number that can be expressed as a fraction, where both numerator and denominator are integers and the denominator is not zero.
• Equation: A mathematical statement asserting the equality of two expressions, represented by the "=" sign.
• Formula: A concise way of expressing information symbolically, typically representing a mathematical relationship.
• Identity: An equation that holds true for every possible value of the variable involved.
• Inequality: A mathematical expression that compares two amounts using symbols such as <, ≤, >, ≥, or ≠.
• Solution of an Inequality: Any number or value that satisfies the inequality, making it true.
• Dependent Variable: The output variable (often denoted as y) whose value depends on the input variable(s).
• Function Notation: The format used to express functions, commonly written as f(x).
• Function: A mapping relationship where each input from the domain is associated with exactly one output in the range.
• Independent Variable: The input variable (represented as x) that is changed or controlled in a function.
• Relation: A collection of ordered pairs, which may represent the relationship between two sets.
• Linear Function: A function that graphs as a straight line, commonly expressed in the form y = mx + b where m is the slope and b is the y-intercept.
• Slope: The measure of steepness of a line, calculated as the ratio of vertical change (rise) to horizontal change (run).
• X-Intercept: The point where a graph intersects the x-axis, indicating where y equals zero.
• Y-Intercept: The point where a graph intersects the y-axis, indicating where x equals zero.
• System of Linear Equations: A set of two or more linear equations involving the same variables.
• Binomial: A polynomial consisting of exactly two terms.
• Degree of a Monomial: The sum of the exponents in the monomial, indicating its highest power.
• Degree of a Polynomial: The term within a polynomial that has the highest degree, determining the polynomial's overall degree.
• Leading Coefficient: The coefficient of the term with the highest degree in a polynomial, significant for identifying the polynomial's behavior.
• Polynomial: An algebraic expression that consists of multiple terms combined with addition or subtraction.
• Greatest Common Factor (GCF): The largest number that can evenly divide two or more numbers, used for simplifying fractions.
• Axis of Symmetry: A line used to divide a figure into two identical halves, mirroring each side.
• Maximum: The highest point on the graph of a parabola, indicating the peak value.
• Minimum: The lowest point on the graph of a parabola, indicating the trough value.
• Parabola: The U-shaped or n-shaped graph produced by a quadratic function.
• Quadratic Equation: An equation where the highest exponent of the variable is 2, generally expressed in the form ax² + bx + c = 0.
• Quadratic Function: A type of function whose graph forms a parabola, expressed in the standard form ax² + bx + c.
• Zeros: The points at which the graph crosses the x-axis, representing the solutions to the equation when set to zero.