**TI83F* AppVariable file 03/22/07, 10:19 GLM201nav F441BD13B950415AA7EB861D73925D5FGLM201. GLM2011  algebrapalgebra:A mathematical language that uses symbols, usually letters that stand for unknowns, along with numbers. algebraic expressionalgebraic expression:An expression consisting of one or more numbers and variables along with one or more arithmetic operations. arithmetic sequencearithmetic sequence:A numerical pattern that increases or decreases at a constant rate or value. The difference between successive terms of the sequence is constant.Example: 2, 5, 8, 11, 14, ... base of an expressionGbase of an expression:In an expression of the form x^n, the base is x.  coefficient,coefficient:The numerical factor of a term. cube of a numbercube of a number:The product in which a number is a factor three times.Example: The cube of 2, or 2 cubed, is 8 because 2 2 2 = 8. domainUdomain:The set of the first numbers or abscissas of the ordered pairs in a relation. equationgequation:A mathematical sentence stating that two expressions are equal.Example: 3 (7 + 8) = 9 5  equivalent expressionsequivalent expressions:Expressions that have the same value or that have the same mathematical meaning for all replacement values of their variables. Examples: 3 + 2 = 10 - 5, 2x + 3x = 5x  evaluate*evaluate:Find the value of an expression.  exponentexponent:A number that indicates how many times a number or expression is to be multiplied by itself.Example: In the expression 5^3, the exponent is 3.  factorfactor:In an algebraic or numerical expression, the quantities being multiplied are called factors.Example: 3 and 11 are factors of 33.  functionifunction:A relation in which exactly one element of the range is paired with each element of the domain.  function rule\function rule:An expression which describes the relationship between each input and output. function tablebfunction table:A table used to organize the input numbers, output numbers, and the function rule. numerical expressionnumerical expression:A mathematical expression that has a combination of numbers and at least one operation.4 + 2 3 is a numerical expression. order of operationsorder of operations:1. Evaluate expressions inside grouping symbols.2. Evaluate all powers.3. Do all multiplications and/or divisions from left to right.4. Do all additions and/or subtractions from left to right. perfect squarepperfect square:A number whose square root is a rational number.Example:25 is a perfect square since 25 = 5^2. powerpower:An expression of the form x^n, read x to the nth power. Example:7^4 is 7 raised to the fourth power, or7 7 7 7. property@property:A statement that is true for any numbers or variables. range of a relationRrange of a relation:The set of second numbers in the ordered pairs of a relation.  radical sign4radical sign:The symbol , used to indicate a root. sequence/sequence:A set of numbers in a specific order. solutionsolution:A replacement value for the variable in an open sentence. A value for the variable that makes an equation true.Example:The solution of12 = x + 7 is 5. solve an equationlsolve an equation:The process of finding all values of the variable that make an equation a true statement. square of a number|square of a number: The product of a number and itself. Example: The square of 6, or 6 squared, is 36 because 6 6 = 36.  square rootsquare root:One of the two equal factors of a number. If a^2 = b, then a is the square root of b.Example:12 is a square root of 144 since 12^2 = 144.  standard form1standard form:Numbers written without exponents. term in a sequence.term in a sequence:Each number in a sequence. variableTvariable:A letter or other symbol used to represent an unspecified number or value.h