**TI83F* AppVariable file 12/24/08, 18:17 ņGLA101ņīnav 868E89BEB1644A6EA4327E33887122BEGLA101.iGLA1011  additive identityRadditive identity:ÖFor any number a, a + 0 = 0 + a = a.ÖExample: 6 + 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. base6base: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 functionRcontinuous function:ÖA function that can be graphed with a line or a smooth curve. coordinate systemĢ!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.  discrete function?discrete function:ÖA function of points that are not connected.  domainUdomain:ÖThe set of the first numbers or abscissas of the ordered pairs in a relation. elememtFelement:Ö1. Each object or number in a set.Ö2. Each entry in a matrix. 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.  hypothesisThypothesis:ÖThe part of a conditional statement immediately following the word 'if'. identityCidentity:ÖAn equation that is true for every value of the variable. 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.  like termsrlike terms:ÖTerms that contain the same variables raised to the same power.ÖExample:Ö5x^2 and 6x^2 are like terms. mappingN!jmapping:ÖA diagram that illustrates how each element of the domain is paired with an element in the range. multiplicative identityZmultiplicative identity: ÖFor any number a, a 1 = 1 a = a. ÖExample: 4 1 = 1 4 = 4 multiplicative inverseĢmultiplicative inverse:ÖThe number that when multiplied by a given number results in a product of one.ÖExample: The multiplicative inverse of 4 is 1/4 because 4 1/4 = 1. non linear function\non linear function:ÖA function with a variable term that has an exponent other than 1 or 0.  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." 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.# productMproduct:ÖThe result obtained by multiplying two or more numbers or variables.$ rangeErange:ÖThe set of second numbers in the ordered pairs of a relation.Ö%  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.( setlset:ÖA collection of objects or numbers, often shown using braces { } and usually named by a capital letter.)  Simplest form‡Simplest form:ÖAn expression is in simplest form when it is replaced by an equivalent expression having no like terms or parentheses.ÖÖ* solutionĸsolution:ÖA replacement value for the variable in an open sentence. A value for the variable that makes an equation true.ÖExample:The solution of 12 = x + 7 is 5.+  solution set[solution set:ÖThe set of elements from the replacement set that make an open sentence true., solving­solving:ÖFinding a replacement value for the variable that results in a true sentence or an ordered pair that results in a true statement when substituted into the equation.- termNterm:ÖA number, a variable, or a product or quotient of numbers and variables.. variableTvariable:ÖA letter or other symbol used to represent an unspecified number or value./ vertical line testIvertical line test:ÖA test used to determine if a relation is a function.0 x-axisĢ!9x-axis:ÖThe horizontal number line on a coordinate plane.1  x-coordinate2x-coordinate:ÖThe first number in an ordered pair.2 y-axisĢ!7y-axis:ÖThe vertical number line on a coordinate plane.3  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@8`P  Pø>Á€@€ @  @€ € € @@@€€€€`‚Ā€ ƒ €!˙˙˙˙€Ā€ ƒ€ ā@@@p @ @1˙˙˙˙ @@ā@x @@€€0‚9Ā€Hƒ €I˙˙˙˙˜Ā€Hƒ €0‚=Ā€@@@€ € € @  @€ @Á€ø>R