Untitled Quiz

Algebra 1 Glossary of Terms

• Addition Property of Equality: If equal values are added to both sides of an equation, the equation remains true.
• Arithmetic Sequence: A sequence where the difference between consecutive terms is constant.
• Axis of Symmetry: An imaginary vertical line that divides a parabola into two mirror-image halves.
• Base: The number being raised to a power in an exponential expression.
• Binomial: A polynomial comprised of exactly two terms.
• Box Plot: A graphical summary that displays the distribution of data based on a five-number summary.
• Elimination Method: A technique for solving systems of linear equations by eliminating one variable.
• Equation: A mathematical statement asserting the equality of two expressions.
• Exponential Equation: An equation where the variable appears as an exponent.
• Exponential Function: A function characterized by an exponent variable.
• Expression: A combination of numbers and variables linked by mathematical operations.
• Factoring a Polynomial: The process of decomposing a polynomial into the product of two polynomials.
• Factors: The polynomials that divide into another polynomial without leaving a remainder.
• First Quartile: The value in a dataset that separates the lowest 25% of values.
• FOIL: A method for multiplying two binomials, following the order: First, Outer, Inner, Last.
• Function: A relation that assigns a unique output for each input.
• Geometric Sequence: A sequence in which each term is derived from the previous term by multiplying by a constant ratio.
• Graph: A visual representation of the solution set for an equation.
• Greatest Common Factor (GCF): The largest expression that evenly divides multiple monomials.
• Growth Rate: In the expression a × b^x, the b indicates the growth rate.
• Histogram: A representation of data using bars to show the frequency of values within intervals.
• Increasing Function: A function that produces larger outputs as the input increases on an interval.
• Inequality: A mathematical statement comparing two expressions using symbols like <, >, ≤, or ≥.
• Interquartile Range: The difference between the third quartile (75th percentile) and the first quartile (25th percentile).
• Isolating Variable: The act of rearranging an equation so a variable stands alone on one side.
• Like Terms: Terms within an expression that contain the same variable parts.
• Line of Best Fit: A line that approximates the trend of data points in a scatter plot.
• Linear Equation: An equation where the highest exponent of a variable is 1.
• Linear Function: A function representing a straight line, with the highest variable exponent as 1.
• Mean: The calculated average value of a dataset.
• Median: The middle value in a dataset when arranged in ascending order.
• Mode: The most frequently occurring number in a dataset.
• Monomial: A polynomial with one term, comprising coefficients and/or variables.
• Multiplication Property of Equality: When the same value is multiplied to both sides of an equation, the equation remains valid.
• Ordered Pair: A pair of numbers written as (x,y) representing a point in a two-dimensional space.
• Parabola: The U-shaped graph representing a quadratic function.
• Perfect Square Trinomial: A trinomial that can be factored into the square of a binomial.
• Piecewise Function: A function defined by different rules for different intervals of input values.
• Polynomial: An expression formed by the sum of monomials.
• Quadratic Equation: An equation where the highest power of a variable is 2.
• Quadratic Formula: The formula used to solve quadratic equations: x = (-b ± √(b² - 4ac)) / (2a).
• Quadratic Function: A function represented by a polynomial of degree 2.
• Quadratic Polynomial: A polynomial in which the term with the highest degree is squared.
• Range: The set of output values produced by a function.
• Recursively Defined Sequence: A sequence defined where each term is derived based on prior terms, alongside given initial terms.
• Regression: The technique of finding a curve that best fits a set of data points in a scatter plot.
• Residual Plot: A graph depicting the discrepancies between observed values and values predicted by a model.
• Roots: The solutions or values of a variable that satisfy an equation.
• Sequence: An ordered list of numbers following a specific pattern.
• Slope: The measure of steepness of a line, indicating how much y changes for a change in x.
• Slope-Intercept Form: The equation format y = mx + b where m is the slope and b is the y-intercept.
• Solution Set: The complete set of values or ordered pairs that satisfy an equation.
• Substitution Method: A strategy for solving a system of equations by substituting one variable with an expression from another equation.
• Subtraction Property of Equality: When equal amounts are subtracted from both sides of an equation, the equation stays valid.
• System of Equations: A collection of two or more equations involving the same variables.
• Third Quartile: The value separating the highest 25% of a dataset.
• Translation: A transformation that shifts a graph's points uniformly in a specified direction.
• Trinomial: A polynomial that includes three terms.
• Variable: A symbol representing an unspecified number or value within an expression or equation.
• Vertex: The point at which a parabola changes direction, its maximum or minimum point.
• Vertical Line Test: A method to determine if a graph represents a function by checking if a vertical line intersects the graph at more than one point.
• X-Intercept: The point where a graph intersects the x-axis.
• Y-Intercept: The point where a graph intersects the y-axis.
• Zeros: The values that, when inputted into a function, yield an output of zero.
• Closed Form Defined Sequence: An expression that directly computes the nth term of a sequence.
• Coefficient: The multiplicative factor in a term of an expression, generally a number before a variable.
• Common Difference: The consistent difference between consecutive terms in an arithmetic sequence.
• Common Ratio: The constant ratio between consecutive terms in a geometric sequence.
• Commutative Property: The principle stating that the order of addition or multiplication does not affect the result.
• Completing the Square: A technique used to form a perfect square trinomial in quadratic equations.
• Constant: A fixed value that does not change, having no variable components.
• Correlation Coefficient: A value (r) that quantifies the degree to which a curve fits a set of points in a scatter plot.
• Degree of a Polynomial: The highest exponent found in a polynomial.
• Difference of Perfect Squares: The factorization of expressions of the form x² - a² into (x - a)(x + a).
• Distributive Property: The rule stating that a(b + c) = ab + ac for any numbers a, b, and c.
• Division Property of Equality: The principle where dividing both sides of an equation by the same non-zero number maintains the equation's validity.
• Domain: The complete set of input values permissible in a function.
• Dot Plot: A visual representation where each data point is indicated by a dot, useful for displaying frequency.