Topic Index

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z ----- A -----top absolute value and intervals in linear equations, solving magnitude acute triangle adding mixed positive and negative numbers addition concepts additive identity additive inverse area circle fundamental concept rectangle summary triangle arithmetic sequence associative law of addition associative law of multiplication asymptote asymptotic augmented matrix axis of symmetry ----- B -----top base 10 binomial expansion theorem factoring special products bounded above below interval box, surface area box, volume branch, hyperbola ----- C -----top calculus definite integral derivative differential Fundamental Theorem of Calculus indefinite integral integral interval preliminaries real number properties review of required math concepts cardinal number cardinality centimeter central equation, circle central equation, ellipse central equation, hyperbola central equation, parabola chord circle conic section slice area circumference estimation central equation circumference conics intro definition equation derivation equation translated (general) exploring line circle intersections, solving plotting intersections conics (advanced) quadrature rotating example squaring variational analysis circumference closed interval coin combining equations to eliminate terms common vertex equation, conics completing the square complex numbers addition and subtraction conjugate geometric interpretation i (imaginary number) i raised to even and odd powers multipliation and division composition of functions conclusion, proof cone, volume conic sections advanced topics applications circle (advanced) conic parameter conical surface ellipse ellipse (advanced) hyperbola hyperbola (advanced) mathematical meaning of names (advanced) parabola parabola (advanced) vertex equations (advanced) conjugate constant rate of change constants conversions between decimals and fractions conversions between English and metric systems coordinate counting Cramer's Rule cubic centimeter cubic inch cuboid cummutative law of addition cummutative law of multiplication cylinder, surface area cylinder, volume ----- D -----top decimal addition, intro addition and subtraction fraction conversions multiplication and division non-repeating digits numbers periodic digits point repeating digits subtraction definite integral deductive reasoning definitions degree demonstration denomination groups denominator dependent event probability dependent variable derivative applications derived function difference quotient differentiable example graphical interpretation higher order instantaneous rate of change limit examples notation of common functions rules slope of tangent to curve determinants diameter difference quotient differentiable differential direct substitution directrix discontinuity discriminant disprove distance, rate and time, pre-Algebra distance, rate, time problems, Algebra distributive law (multiplication over addition) dividend divisor division division by zero divisor dollar domain ----- E -----top eccentricity elimination and backward substitution ellipse conic section slice equation centered at the origin equation derivation equation translated planetary motion appllication vertex equation (advanced) sound amplification application variational analysis equal parts equation equations of the line equilateral triangle equivalent fractions Euclidean space exponent addition base division fractional multiplication negative power rule power rule across factors rules same base subtraction zero exponential equation solving exponential functions graphs of expressions and terms ----- F -----top Factor Theorem factoring by inspection by regrouping terms sum and difference of cubes sum of like odd powers expressions Factor Theorem higher order polynomials polynomials fingers focal radius, ellipse focus formula fraction division improper proper rational number reduced functions composition continuous discontinuous graph dependent variable domain independent variable inverse one-to-one one-to-many many-to-one many-to-many map range Fundamental Theorem of Algebra Fundamental Theorem of Arithmetic Fundamental Theorem of Calculus ----- G -----top geometric sequence goal, strategy, method, implementation problem solving graphing inequalities graph graphing systems of linear inequalities greatest common divisor/factor (gcd/gcf) word problems grouping ----- H -----top height hexagon hyperbola central equation central equation derivation (advanced) conics introduction dish telescope application equation translated plotting examples variational analysis vertex equation (advanced) hypothesis ----- I -----top inch indefinite integral independent event probability independent variable inductive proof inequality graph infinity symbol, correct meaning instantaneous rate of change integer add subtract motivation additive identity additive inverse associative laws commutative laws credit, debit analogy distributive law number line integer opposites well ordered set integral interest compound simple interval inverse functions irrational numbers isosceles triangle ----- J -----top ----- K -----top ----- L -----top leading coefficient leading term least common multiple (lcm) word problems length rectangle surface area limit asmyptotes one sided line definition equations general equation intercept equation point slope equation property 1 property 2 property 3 property 4 segment slope intercept equation linear equations, solving linear relationship linear system of equations logarithm common graphs natural rules change of base rule identity power rule identity rule log power rule product rule quotient rule reciprocal rule table long division ----- M -----top magnitude maintain equality major axis mantissa many-to-many mapping map matrices matrix, augmented measurement measurement, length metric unit of length metric unit of mass metric unit of volume minor axis mixed number mixed signs money monomial multiplication multiplication table multiplying integers multiplying mixed sign integers ----- N -----top nappe negative numbers nickel number base number line numbers and shapes, counting numbers and shapes, square numbers numeration numerator ----- O -----top observatory dishes obtuse triangle one-to-many mapping one-to-one mapping open interval operations on equations order of operations ----- P -----top parabola conic section vertex equation (advanced) equation centered at zero equation derivation equation translated plotting examples parabolic mirror application variational analysis (advanced) parallel lines parallelepiped paramater, conics Pascal's Triangle passing a plane through cone Peano Axioms penny percent interest price markup, price markdown percentage perfect rational perimeter summary perimeter permutation tree permutations pi measuring radian measure point polynomial addition and subtraction completely factored division dominant term factoring by inspection graph characteristics graphing and solving graphing by inspection leading term multiplication prime rational roots, defined rational roots, to solve polynomials remainder theorem turning point zeroes positive numbers postulate price mark down price mark up prime number factorization relative probablility, independent problem solving technique, example procedure to solve linear equations product proof conslusion deductive reasoning in geometry definitions demonstration disprove undefined terms hypothesis inductive postulates proof, √2 is irrational proportion pyramid pythagorean number pythagorean theorem proofs triple ----- Q -----top quadratic equation quadratic formula quatratic formula, derivation quadratic function quick divisibility checks quotient ----- R -----top radians radical expressions algebraic terms divide evaluate extraneous solutions index of radical multiply moving factors in and out of radicals principle root radical fractions radicand rationalizing root sign solving radical equations simplify expressions radical equations radius, surface areas radius, definition range rate, definition rate, distance and time problems pre-Algebra rate, distance and time problems Algebra ratio rational number addition changing forms division multiplication perfect subtraction rational roots of polynomials ray real numbers addition multiplicationo operations subtraction relatively prime rectangle rectangle, number rectangle, area relatively prime remainder right circular cone right triangle root rotating circles example ----- S -----top scientific notation semi major axis semi minor axis sequences and series arithmetic geometric infinite and finite Set Theory Builder Notation Cardinality Disjoint Element Empty Finite Infinite Intersection Proper SubSet Subset Union Union Rule Universal Venn Diagram sign change rule similar triangles simplifying expressions slide rule slope of tangent to curve solve for unknown solving a system of linear equations solving equations with absolute value terms solving linear equations solving polynomials solving quadratic equations solving systems of linear equations using matrices and determinants sphere, surface area sphere, volume square centimeter square inch square root of 2 statement of equality subtracting mixed positive and negative numbers sum and difference of cubes sum and difference of like odd powers sum of numbers, Gauss surface area box cuboid cylinder parallelepiped sphere synthetic division, factoring synthetic division, solving polynomials systems of linear inequalities ----- T -----top teaching addition terms and expressions theorem time, distance and rate problems pre-Algebra time, distance and rate problems Algebra transverse axis triangle area area general equation measurement number similar sum of angles triangle inequality types triangle inequality trigonometry trigonometric function ----- U -----top undefined terms unit analysis, ratios unit analysis, metric system unit analysis, distance rate and time problems unit cancelation unit circle angular measure definition first quadrant table plot of cosine function plot of sine and cosine function plot of sine function sin cos tan cot table of x and angle values table of y and angle values variational analysis working angle x coordinate y coordinate unit conversions unit square units of measurement units, cancellation unlimited representation ----- V -----top variables variation analysis, conics Venn Diagram vertex, hyperbola vertex, parabola vinculum volume box cone cylinder pyramid sphere summary ----- W -----top well ordered set why study math width, rectangle width, surface area word problems words for operators working angle working with decimals ----- X -----top x radius ----- Y -----top y radius ----- Z -----top zero This is another FREE ALGEBRA PRINTABLE presented to you from the Algebra section of K12math.com

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