Algebra Readiness Builders Algebra 1 Vocabulary Associative Property- For all real numbers a, b, and c, (a + b) + c = a + (b + c) or (ab)c = a(bc). Asymptote- A line that a graph closely approaches. Axis of Symmetry- The line that divides the graph into equal halves. Base- The number or expression in a power that is multiplied by itself. Commutative Property- For all real numbers a and b, a + b = b + a or ab = ba. Dependent Variable- A variable depends on one or more other variables. Direct Variation- The relationship of 2 variables x and y where there is some constant k such that y = kx. Discrete data- A set of data having a finite number of values or data points. Discriminant- The expression under the radical in the quadratic formula. Distributive Property - a(b + c) = ab + ac Domain- The set of first elements in ordered pair or table. Elimination Method- The process of eliminating one of the variables in a system of equations using addition or subtraction in conjunction with multiplication or division. Equation- A mathematical sentence formed by placing an equal sign between two expressions. Exponent - Tells how many times a number is used as a factor. Exponential Decay- An exponential function y = abx , where a > 0 and 0 b 1. Exponential Function- A function in which the independent variable is the exponent. Algebra Readiness Builders Algebra 1 Vocabulary Exponential Growth- An exponential function y = abx, where a > 0 and b >1. Expression- A mathematical phrase containing numbers and operating symbols. Factor- One of two or more expressions that are multiplied together to get a product. Function- A relation where every input has exactly one output. Independent Variable- The variable in a relationship that can be changed. Inequality- A mathematical sentence that contains one or more of these symbols <, >, ≤, ≥, or ≠. Input- The value you put into a formula or equation. Integers- Natural numbers, their opposites, and “0”. Inverse Variation- The relationship of two variables x and y where there is some constant k such that xy = k or y = . Irrational Number- A number that neither repeats or terminates. Line - A straight path that extends forever in both directions. Multiplicative Inverse Property- For all real number a, Negative Exponent PropertyNumeric data- an = or = an = 1, a a 0. Data in which both quantities can be measured with numbers. Order of Operations -Grouping Symbols, Exponents, Multiply & Divide, Add & Subtract. . Algebra Readiness Builders Algebra 1 Vocabulary Output- The value that comes out of a formula or equation. Parabola- The shape of the graph of a quadratic function. Parallel Lines- Lines that have the same slope. Parent Function- The most basic function in a family of functions. Perpendicular Lines- Lines whose slopes are negative reciprocals. Point - A location in space that has no dimensions. Polynomial- A monomial or a sum of monomials. Power - An expression using a base and an exponent. Power of a Power Property- = Power of a Product Property- (ab)m = ambm Power of a Quotient PropertyProduct of Powers Property- = b 0 aman = am+n Quadratic FormulaQuotient of Powers Property- = am – n a 0 Range- The set of second elements in ordered pair or table. Rational Number- A number that can be expressed as the ratio of two integers and the denominator cannot equal zero. Algebra Readiness Builders Algebra 1 Vocabulary Reciprocal- Two numbers whose product is 1. Representations- Models, graphs, equations, tables and verbal descriptions of data. Slope- The ratio of the vertical change (rise) to the horizontal change (run). Solution- A value for the variable or an ordered pair that makes an equation true. Standard Form of a Quadratic Function- A quadratic function written in the form f(x) = ax2 + bx + c. Substitution Method- A method of solving a system of equations where one of the equations is solved for one variable in terms of the other. Systems of Equations- A set of two or more equations that have two or more variables. TermVariable- One part of an expression that includes a number, a variable, or product of both. A letter used to represent a number in equations or expressions. Vertex Form of a Quadratic FunctionVertex of the ParabolaZero Exponent Property- A quadratic function written in the form f(x) = a(x – h)2 + k. The maximum or minimum point on a parabola. a0 = 1 a 0