Algebra 1 Essential Vocabulary List
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1 A abscissa absolute value absolute value function accuracy acute angle acute triangle Addition Property of Equality additive identity additive inverse adjacent angles adjacent arcs algebra algebraic expression alternate exterior angles alternate interior angles altitude altitude of a trapezoid altitude of a triangle amplitude analytic geometry angle angle bisector angle bisector of a triangle angle of depression angle of elevation angle of rotation antilogarithm apothem of a regular polygon arc arccosine arcsine arctangent area arithmetic mean arithmetic sequence arithmetic series Associative Property asymptote augmented matrix average axes axis of a cylinder B back-to-back bar graph back-to-back stem-and-leaf plot bar graph bar notation base angles of a trapezoid base angles of an isosceles triangle base in a percent proportion base of a three-dimensional figure base of an expression base of an isosceles triangle bases of a trapezoid best-fit line betweenness biased sample biconditional bimodal data binomial binomial experiment bisect boundary box-and-whisker plot C Cartesian coordinate plane center of a circle center of a hyperbola center of an ellipse center of rotation centimeter central angle centroid of a triangle characteristic chord circle circle graph circular functions circumcenter circumference circumscribed polygon Closure Property cluster clustering coefficient coinciding lines collinear points combination common denominator common difference common factor common logarithm common multiples common ratio Commutative Property compass compatible numbers complementary angles complementary events complements complex fraction complex number complex plane components of a vector composite number composition of functions compound event compound inequality compound statement concave polygon concentric circles conclusion concurrent conditional probability conditional statement cone congruence transformation congruent congruent figures congruent solids conic section conjecture conjugate of a binomial conjugate of a complex number conjunction consecutive integers consecutive interior angles consecutive sides consistent system constant constant function constant of variation construction
2 continuous function contrapositive convenience sample convergent series converse convex polygon coordinate coordinate grid coordinate plane coordinate proof coordinate system coplanar corollary corresponding angles corresponding parts cosecant cosine cotangent coterminal angles counterexample Cramer s Rule critical points cross products cube (geometric figure) cube of a number cubic function cubic units cumulative frequency histogram cumulative frequency table cup cylinder D data decagon deductive reasoning degree degree of a monomial degree of a polynomial denominator dependent events dependent system dependent variable depressed polynomial determinant diagonal diameter dilation dimensional analysis direct variation discontinuous function discrete discriminant disjunction Distance Formula Distributive Property divisible Division Property for Inequalities Division Property of Equality domain double bar graph E e edge element of a matrix elimination method ellipse empirical study empty set equal sign equally likely outcomes equation equiangular triangle equilateral triangle equivalent equations equivalent expressions equivalent fractions equivalent ratios evaluate even function even number event excluded values expanded form (or expanded notation) experimental probability exponent exponential decay exponential function exponential growth expression exterior angle of a triangle exterior angles exterior of an angle extraneous solutions extrapolation extremes F face of a three-dimensional figure factor factor a polynomial factor tree factored form factorial failure fair game family of graphs Fibonacci sequence flow proof fluid ounce foot formula fractal fraction frequency frequency frequency distribution frequency table front-end estimation function function notation function rule function table functional value Fundamental Counting Principle G gallon geometric mean geometric probability geometric sequence geometric series
3 gram graph great circle greatest common factor (GCF) greatest integer function H half-plane height of a parallelogram height of a triangle hemisphere heptagon hexagon histogram hour hyperbola hypotenuse hypothesis I identity Identity Property if-then statement image imaginary part of a complex number imaginary unit improper fraction incenter inch included angle included side inclusive events inconsistent system independent events independent system independent variable indirect measurement indirect proof (or indirect reasoning) inductive reasoning inequality infinite sequence infinite series infinity inscribed angle inscribed polygon integers intercept interior angles interior of an angle interpolation interquartile range intersecting lines intersection interval inverse inverse functions inverse of a relation inverse operations inverse variation inversely proportional irrational numbers irregular figure isometry isosceles trapezoid isosceles triangle J joint variation K key kilogram kilometer kite L lateral area lateral edge of a prism lateral edge of a pyramid lateral face of a prism lateral face of a pyramid latus rectum leading coefficient leaf least common denominator (LCD) least common multiple (LCM) legs legs of a trapezoid legs of an isosceles triangle like fractions like terms limit line line graph line of best fit line of reflection line of symmetry line plot line segment line symmetry linear equation linear function linear inequality linear programming linear term liter locus logarithm logarithmic equation logarithmic function lower bound lower extreme lower quartile M magnitude major arc major axis mantissa mapping mathematical induction matrix matrix logic maximum mean mean deviation means measure of central tendency measure of variation median
4 median of a trapezoid median of a triangle median-fit line meter metric system midpoint midsegment mile milligram milliliter minimum minor arc minor axis minor of an element minute (angles) minute (time) mixed number mode monomial multi-step equations multiple Multiplication Property for Inequalities multiplicative identity multiplicative inverse Multiplicative Inverse Property Multiplicative Property of Equality Multiplicative Property of Zero mutually exclusive events N n-gon natural logarithm natural logarithmic function natural numbers negation negative correlation negative integer negative number net non-euclidean geometry nonagon noncollinear points nonconsecutive sides noncoplanar nonterminating decimal normal curve normal distribution normal form normal line nth order matrix nth root null set number line number theory numerator numerical expression O obtuse angle obtuse triangle octagon octants odd function odd number odds one-to-one function open sentence opposite rays opposite vectors opposites order of operations ordered pair ordered triple ordinate origin orthocenter orthogonal drawing ounce outcome outlier P parabola paragraph proof parallel lines parallel planes parallel vectors parallelogram parent graph partial fraction Pascal s triangle pentagon percent percent of change percent of decrease percent of increase percentile perfect square perfect square trinomial perimeter period period of a function periodic function permutation perpendicular bisector perpendicular lines perspective view phase shift pi piecewise function pint plane plane Euclidean geometry Platonic Solids point point of inflection point of symmetry point symmetry point-slope form polar coordinate system polar equation polar form polar graph polygon polygonal convex set polygonal region polyhedron polynomial polynomial equation polynomial function polynomial in one variable population positive correlation positive integer
5 positive number postulate pound power power function precision precision unit prediction equation preimage prime factorization prime number prime polynomial principal square root principal values prism probability product proof property proportion protractor pure imaginary number pyramid Pythagorean Theorem Pythagorean triple Q quadrant quadrantal angle quadratic equation Quadratic Formula quadratic function quadratic inequality quadratic term quadrilateral quart quartiles R radian radical equation radical expression radical inequality radical sign radicand radius random random sample range of a data set range of a relation rate rate of change ratio rational equation rational expression rational function rational inequality rational numbers ray real numbers reciprocal rectangle rectangular form rectangular prism recursive formula reduced sample space reference angle reflection regression line regular polygon regular polyhedron regular prism regular pyramid regular tessellation relation relative error relatively prime remote interior angles repeating decimal replacement set resultant rhombus right angle right cone right cylinder right prism right triangle rise root rotation rotational symmetry run S sample sample space scalar scalar multiplication scale scale drawing scale factor scale model scale of a data set scalene triangle scatter plot scientific notation secant (circle) secant (trigonometry) second (angles) second (time) second-order determinant sector segment semi-regular tessellation semicircle sequence series set set-builder notation sides of a polygon sides of an angle sigma notation significant digits similar figures similar solids simplest form of a fraction simplest form of an expression simplify simulation sine skew lines skewed distribution slant height slope slope formula
6 slope of a curve slope-intercept form solid solution solution of a system of equations solution set solve a triangle solve an equation space sphere spherical geometry square (geometric figure) square a number square matrix square of a number square root square units standard deviation standard error of the mean standard form standard form of a linear equation statement statistics stem stem-and-leaf plot step function straight angle straightedge stratified random sample Subtraction Property of Equality success supplementary angles surface area survey symmetry synthetic division system of equations system of inequalities systematic random sample T tangent tangent line term in a sequence term in an expression terminal side of an angle terminating decimals tessellation tetrahedron theorem theoretical probability third-order determinant three-dimensional figure ton transformation translation transversal trapezoid tree diagram triangle trigonometric functions trigonometric identity trigonometric ratios trigonometry trinomial truth table truth values two-column proof U unbiased sample uniform tessellations union unit circle unit rate unit vector unlike fractions upper bound upper extreme upper quartile V variable variance vector Venn diagram vertex form vertex of a conic section vertex of a parabola vertex of a prism vertex of an angle vertical angles vertical line test volume voluntary response sample W weighted average whisker whole numbers X x-axis x-coordinate x-intercept Y y-axis y-coordinate y-intercept yard Z zero exponent zero matrix zero pair Zero Product Property zero vector zeros
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