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Algebra I Vocabulary Algebraic Expression A sentence combined of one or more numbers and a variable along with one or more arithmetic operations. Axes Two perpendicular lines that are used to locate points in a coordinate plane. Best-fit Line A line drawn so it is close to most or all of the data in points in a graph. Binomial The sum of two monomials. Coefficient Constant The numerical factor in a term. A monomial term that lacks a variable component. Cartesian Coordinate Plane Domain The plane containing the x and y-axis. Elimination A method of solving a system of equations that uses addition or subtraction to eliminate one of the variables to solve for the other variable. Equivalent A term used to indicate that two or more quantities are the same value. Equation Exponent A mathematical sentence that compares expressions linked by an equal sign. To find the value of an expression when the value of the variables are known. In an expression of the form xn, the exponent is n. Factors In a multiplication expression, the quantities being multiplied. Functions A relation in which each element of the domain is paired with exactly one element of the range. A mathematical sentence comparing two expressions that are linked by one of the following , , , . Evaluate Inequality The set of all x-coordinate values in a relation. Like Terms Terms that contains the same variables, where the corresponding variables also are the same power (exponent). Linear Equations An equation whose graph is a line. Linear Parent Function yx Monomial A number, variable, or a product of a number and one or more variables. A correlation between x and y that are related in an opposite way (as x increases, y decreases). Negative correlation Ordered Pair A pair number used to locate points in the coordinate plane. Point-Slope Form A form of a linear equation; y y1 m( x x1 ) Polynomial Positive correlation A monomial or sum of monomials. Product Proportion Quadrant A correlation between x and y that relates in the same way (as x increases, y increases). The result of a multiplication operation. An equation stating that two ratios, rates or fraction are equivalent. One of the four regions into which the x and y-axes separate the coordinate plane. Quadratic Parent Function Quotient The result of a division operation. Range The set of all y-coordinate values in a relation. Rate Ratio Relation y x2 a of two quantities a and b that are measured in b miles different units. (example: ) hours The relationship A comparison of two quantities or number that are measured in the same units. A set of ordered pairs. Rise The vertical (up and down) change in a line graphed in the coordinate plane. Run The horizontal (left and right) change in a line graphed in the coordinate plane. Scatter Plot A discrete graph that shows two sets of data plotted as ordered pairs in the coordinate plane. When an algebraic expression contains no parentheses or like terms. The ratio of change in the y-coordinate to the corresponding change in the x-coordinates. Also known as “rise over run” or the change in y over the change in x. The equation of a line in the form y mx b Simplest Form Slope Slope Intercept Form Solution Substitution Systems of Equations A replacement for the variable(s) in an open sentence that results in a true sentence. A method for solving a system of equations that uses substitution of one equation into the other equation to solve for the other variable. A set of equation (two or more) with the same variables. Systems of Inequalities A set of inequalities (two or more) with the same variables. Trinomial The sum of three monomials, assuming that like terms have been combined. Variable Vertical Line Test A symbol, typically a lower case letter that is used to represent an unspecified number. If any vertical line passes through no more than one point of the graph of a relation. x-coordinate x-intercept y-coordinate The first number on an order pair. Y-intercept The coordinate at which a graph intersects the x-axis The coordinate at which a graph intersects the y-axis. The second number of an order pair.