**TI83F* AppVariable file 03/21/07, 14:15€ oGLA101omnav 868E89BEB1644A6EA4327E33887122BEGLA101.GLA1011  additive identity€additive identity:ÖThe sum of any number and 0 is the number. For any number a, Öa + 0 = 0 + a = a. ÖExample: Ö6 + 0 = 0 + 6 = 6 algebraic expressionalgebraic expression:ÖAn expression consisting of one or more numbers and variables along with one or more arithmetic operations. base of an expressionGbase of an expression:ÖIn an expression of the form x^n, the base is x.  coefficient,coefficient:ÖThe numerical factor of a term.  conclusionVconclusion:ÖThe part of a conditional statement immediately following the word 'then'. conditional statement­conditional statement:ÖA statement that something is true or will be true provided that something else is also true. The statement can be written in the form 'If A, then B'. continuous function™continuous function:ÖA function is said to be continuous at point Ö(x1, y1) if it is defined at that point and passes through that point without a break.  coordinateDcoordinate:ÖThe number that corresponds to a point on a number line.  coordinate systemĖ!Ģcoordinate system:ÖA plane, also called a coordinate grid or coordinate plane, in which a horizontal number line and a vertical number line intersect at their zero points.  counterexample?counterexample:ÖA specific case which proves a statement false.  deductive reasoningodeductive reasoning:ÖThe process of using facts, rules, definitions, or properties to reach a valid conclusion.  dependent variableldependent variable:ÖThe variable in a relation whose value depends on the value of the independent variable.  domainUdomain:ÖThe set of the first numbers or abscissas of the ordered pairs in a relation. equationgequation:ÖA mathematical sentence stating that two expressions are equal.ÖExample: Ö3 (7 + 8) = 9 5 equivalent expressionsŋequivalent expressions:ÖExpressions that have the same value or that have the same mathematical meaning for all replacement values of their variables. Examples: Ö3 + 2 = 10 - 5, Ö2x + 3x = 5x evaluate*evaluate:ÖFind the value of an expression. exponent™exponent:ÖA number that indicates how many times a number or expression is to be multiplied by itself.ÖExample: In the expression 5^3, the exponent is 3. factor‰factor:ÖIn an algebraic or numerical expression, the quantities being multiplied are called factors.ÖExample:Ö3 and 11 are factors of 33. functionifunction:ÖA relation in which exactly one element of the range is paired with each element of the domain. graphsgraph:ÖTo draw, or plot, the points named by certain numbers or ordered pairs on a number line or coordinate plane.  hypothesisThypothesis:ÖThe part of a conditional statement immediately following the word 'if'. if-then statementDif-then statement:ÖConditional statement in the form 'If A, then B'. independent variableRindependent variable:ÖThe variable in a function whose value is subject to choice.  inequalityZinequality:ÖAn open sentence that uses the symbol <, , >, or  to compare two quantities. integersSintegers:ÖThe set of whole numbers and their opposites Ö{..., -2, -1, 0, 1, 2,...}. irrational numbersoirrational numbers:ÖNumbers that cannot be expressed as fractions, terminating decimals, or repeating decimals.  like termsrlike terms:ÖTerms that contain the same variables raised to the same power.ÖExample:Ö5x^2 and 6x^2 are like terms. multiplicative identity\multiplicative identity: ÖFor any number a, Öa 1 = 1 a = a. ÖExample: Ö4 1 = 1 4 = 4 multiplicative inverseĢmultiplicative inverse:ÖThe number that when multiplied by a given number results in a product of one.ÖExample:ÖThe multiplicative inverse of 4 is 1/4 because 4 1/4 = 1. natural numbers(natural numbers:ÖThe set {1, 2, 3, ...}. negative number3negative number:ÖAny number that is less than zero.   open sentenceCopen sentence:ÖA mathematical statement with one or more variables.! order of operationsÛorder of operations:Ö1. Evaluate expressions inside grouping symbols. Ö2. Evaluate all powers. Ö3. Do all multiplications and/or divisions from left to right. Ö4. Do all additions and/or subtractions from left to right."  ordered pairÄordered pair:ÖA pair of numbers used to locate a point in the coordinate plane or the solution of an equation in two variables. An ordered pair is written in the formÖ(x-coordinate, y-coordinate).# originYorigin:ÖThe point (0, 0) in a coordinate plane where the x-axis and the y-axis intersect.$ perfect squarepperfect square:ÖA number whose square root is a rational number.ÖExample: 25 is a perfect square since 25 = 5^2.% positive number6positive number:ÖAny number that is greater than zero.& powerpower:ÖAn expression of the form x^n, read x to the nth power. ÖExample: 7^4 is 7 raised to the fourth power, or 7 7 7 7.' principal square root?principal square root:ÖThe nonnegative square root of a number.( productMproduct:ÖThe result obtained by multiplying two or more numbers or variables.)  radical sign4radical sign:ÖThe symbol , used to indicate a root.* range of a relationRrange of a relation:ÖThe set of second numbers in the ordered pairs of a relation.+ rational numbers˜rational numbers:ÖThe set of numbers that can be written in the form a/b, where a and b are integers and b  0.ÖExamples:Ö1 = 1/1, 2/9,Ö-2.3 = -2 3/10,  real numbersJreal numbers:ÖThe set of rational numbers and irrational numbers together.-  reciprocal3reciprocal:ÖThe multiplicative inverse of a number.. relation!relation:ÖA set of ordered pairs./ replacement setWreplacement set:ÖA set of numbers from which replacements for a variable may be chosen.0 setlset:ÖA collection of objects or numbers, often shown using braces { } and usually named by a capital letter.1 simplest form of an expression–simplest form of an expression:ÖAn expression is in simplest form when it is replaced by an equivalent expression having no like terms or parentheses.2 solutionŖsolution:ÖA replacement value for the variable in an open sentence. A value for the variable that makes an equation true.ÖExample:ÖThe solution ofÖ12 = x + 7 is 5.3  solution set[solution set:ÖThe set of elements from the replacement set that make an open sentence true.4  square root˜square root:ÖOne of the two equal factors of a number. If a^2 = b, then a is the square root of b.ÖExample:Ö12 is a square root of 144 since 12^2 = 144.5 term in an expression_term in an expression:ÖA number, a variable, or a product or quotient of numbers and variables.6 variableTvariable:ÖA letter or other symbol used to represent an unspecified number or value.7  whole numbers)whole numbers:ÖThe set {0, 1, 2, 3, ...}.8 x-axisĖ!9x-axis:ÖThe horizontal number line on a coordinate plane.9  x-coordinate2x-coordinate:ÖThe first number in an ordered pair.: y-axisĖ!7y-axis:ÖThe vertical number line on a coordinate plane.;  y-coordinate3y-coordinate:ÖThe second number in an ordered pair.8` @H2„ā"KQ)đ0"8Q$@JLb*¨@JTĸp@JTĸā1ŠR@ @  @“ @ ‡ •( @@•( @‘ƒ b” íÛŋD@—@  @@$€@ƒ€%'T@ĮĀ%)T@'Tā@@@@@€ @ Ā˙˙˙˙˙˙˙˙˙˙ā @ Ā@€ @(2„ @Q( @!Q$@!(*¨å`baBh–”ĄB”ĄE`dQ@@@ Ė Lā!Ō”@í”@ Ė Š@Ā@@T@"ˆTā0"ˆ IŒT@JLbˆ J”T@JTĸP J”T@JTĸP1JT@1ŠR đā@5