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Algebra 1 Vocabulary

AB
Real NumbersIntegers and the fractions between
Natural Numbers{1,2,3,4...}
Whole NumbersNatural Numbers and 0
IntegersWhole Numbers and their additive inverses
Additive InverseThe opposite of a number
Multiplicative InverseThe reciprocal of a number
Absolute Valuethe distance from zero on the number line
Coefficienta number multiplied by a variable
Variablea symbol that stands for an unknown number
Poweran expression written with a base and an exponent
Basea number multiplied by itself to give a product
Perfect Squarea number whose square root is an integer
Exponenta superscript that tells how many times to multiply a base by itself
Conditional Statementa true statement that can be expressed as if...then...
Conversea reversal of the hypothesis and conclusion of a conditional statement
Hypothesisthe "if" part of a conditional statement
Conclusionthe "then" part of a conditional statement
Terminating Decimala number that ends in zero forever
Repeating Decimala number that has a repeating pattern of number(s) to the right of the decimal point
Cube Roota number that is multiplied by itself 3 times to give a product
Radical Signsymbol that represents the principal square root of a number
Counterexampleone example that can prove a statement false
Replacement Seta set of numbers that can be substituted for a variable
Closurea property in which the result of an operation on any two numbers in a set is also in the set
Principal square rootthe positive square root of a number
Rational Numbernumber that is a terminating or repeating decimal
Irrational Numbera decimal number that neither terminates nor repeats
Prime Numbera number with exactly two factors
Composite Numbera number with more than two factors
Positive Numbera number found to the right of zero on the number line
Negative Numbera number found to the left of zero on the number line
Commutative Property of Additiona + b = b + a
Commutative Property of Multiplicationab = ba
Associative Property of Additiona + (b + c) = (a + b) + c
Associative Property of Multiplicationa(bc) = (ab)c
Distributive Propertya(b + c) = ab + ac
Identity Property of Additiona + 0 = a
Identity Property of Multiplicationa*1 = a
EratosthenesGreek mathematician who created a "sieve" for Prime Numbers
Order of OperationsParentheses; exponents; multiply or divide from left to right; add or subtract from left to right
Cross ProductsIn a proportion, the product of the mean and the product of the extremes
EquationMath statement that shows two expressions are equivalent
FormulaA literal equation that states a rule for a relationship among quantities
IdentityAn equation that is true for all values of the variable
Percentfor each 100
ProportionA equation that states that two ratios are equivalent
RatioA comparison of two numbers by division
Unit RateA rate in which the second quantity in the comparison is one unit
InequalityA statement using the signs greater than (or equal to) or less than (or equal to)
Compound InequalityTwo inequalities combined with the word AND or the word OR
Intersection (of sets)All elements common to both (or all) sets.
Union (of sets)All elements belonging to either (or all) sets
DomainThe set of input values of a function or a relation
RangeThe set of output values of a function or a relation
RelationA set of ordered pairs
FunctionA relation in which each element in the domain is paired with exactly one element in the range
Function notationf(x) = rule; gives the function rule for finding the dependent variable (y) given the independent variable (x)
Ordered pair(x,y)
Dependent variableThe output of a function rule (the range element or y)
Independent variablethe input of a function rule (the domain element or x)
Continuous Grapha graph made up of connected lines or curves
Discrete Grapha graph made up of unconnected points
y-axisthe vertical axis
x-axisthe horizontal axis
Inductive Reasoningthe process of reasoning that a rule or statement is true because specific cases are true
Conjecturea statement your believe to be true based on inductive reasoning
Correlationa measure of the strength and direction of the relationship between two variables or data sets
No Correlationno relationship between the sets of values
Positive Correlationboth sets of data values increase
Negative Correlationone set of data values increases as the other decreases
Arithmetic Sequencea sequence whose successive terms differ by the same nonzero number
Common Differencethe number added to each successive term of an arithmetic sequence
Term (of a sequence)an element of a sequence
Trend Linea line on a scatter plot that helps show the correlation between data sets more clearly
Consistenta system of linear equations wth at least one solution
Independenta consistent system of linear eq with exactly one solution
Dependenta system of linear eq with infinitely many solutions
Inconsistenta system of linear equations ith no solution
Parallel lineslines with the same slope that never intersect
Perpendicular lineslines that meet at right angles; slopes are opposite reciprocals
Open Half PlanArea of the coordinate plan separated by a solid or dotted line
BinomialA polynomial with two terms
TrinomialA polynomial with three terms
Leading CoefficientThe coefficient of the highest degree term in a polynomial
Scientific NotationA method using powers of 10 for writing very large or small numbers
MonomialA number, a variable or a product of a number and variable(s)
Linear termA one-variable term with a first degree variable
Quadratic termA one-variable term with a second degree variable
ConstantA number (times a variable to the zero-power)
Standard Form of a PolynomialA polynomial arranged in descending degree order
Difference of Squaresthe product of (a+b)(a-b)
Perfect Square Trinomialthe product of the square of (a+b) or the square of (a-b)
Linear PolynomialFirst degree polynomial
Quadratic PolynomialSecond degree polynomial
Cubic Polynomialthird degree polynomial


Algebra 1
Sam H. Lawson Middle School

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