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02:12 Simplifying a product involving square roots… Simplifying a product involving square roots using the distributive property: Basic	Simplifying a product involving square roots using the distributive property: Basic Two examples of distributing radicals into a sum of other radicals and simplifying in the process. math math emporium radical distribute factor times root pair result sixes thing form answer words factors idea From Tom Grant 9 plays 0
05:50 Graphing a parabola ofthe form y = ax^2 or y =… Graphing a parabola ofthe form y = ax^2 or y = ax^2 + c	Graphing a parabola ofthe form y = ax^2 or y = ax^2 + c Shows how to shoose appropriatate input values to find five points, then plot them and draw the graph. math math emporium parabola vertex graph 12x half values axis result point points symmetry direction times clue front equations parabolas lesson reason parable side From Tom Grant 5 plays 0
01:34 Rational exponents: Product rule Rational exponents: Product rule	Rational exponents: Product rule A simple demonstration of how the product rule forexponents still applies when the exponents are fractions math math emporium lcd product rule for exponents 15th fifths exponents result factors exponent rule addition monomials From Tom Grant 10 plays 0
$Thumbnail for entry Rational exponents: Unit fraction exponents and bases involving signs$ 01:49 Rational exponents: Unit fraction exponents and… Rational exponents: Unit fraction exponents and bases involving signs	Rational exponents: Unit fraction exponents and bases involving signs Shows three examples of using a unit fraction as an exponent and coverting itt to its radical form sot the result can be further understood. math math emporium rationall exponents parentheses root half cube power exponents answer result exponent notice fractions From Tom Grant 12 plays 0
$Thumbnail for entry Complex fraction made of sums involving rational expressions: Multivariate$ 04:06 Complex fraction made of sums involving rational… Complex fraction made of sums involving rational expressions: Multivariate	Complex fraction made of sums involving rational expressions: Multivariate Simplifies a complex fraction by distributing the LCD of each small fraction across the top and the bottom so that all small fractions can be swept away. math math emporium lcd distribute divide to one times bottom expression fraction result xy answer mi xyi factor squares difference factorization factors term power multiplication turn fractions From Tom Grant 8 plays 0
06:19 Adding rational expressions involving different… Adding rational expressions involving different quadratic denominators	Adding rational expressions involving different quadratic denominators Adding ratioinal expressions with quadratic denominators requires factoring each denominator so that the LCD can be determined. Then each fraction is exapanded by multiplying the tops and the… math math emporium lcd factor quadratic numerator denominator least common denominator times x. fraction minus bottom factors negatives possibilities answer step result balance middle erps beginning combination From Tom Grant 6 plays 0
02:12 Adding rational expressions with linear… Adding rational expressions with linear denominators with common factors: Basic	Adding rational expressions with linear denominators with common factors: Basic This shows how to determine a common denominator when the denominators share at least one factor. A numerical version is included for more understanding, and the rational expressions are added and… math math emporium lcd addition subtraction rational expressions denominator times fractions factors tops fraction answer result change types bottom threes factor expressions From Tom Grant 16 plays 0
02:28 Dividing rational expressions involving… Dividing rational expressions involving multivariate monomials	Dividing rational expressions involving multivariate monomials A quick justification of dividing fractions by multiplying by the reciprocal of the second fraction in the division followed by an example that involves reducing the common factors in the numerator… math math emporium fraction monomial factor reducing fractions cubed bottom times fractions change multiplication division answer b. exponent reduces instance result denominator numerator x. flip thing variables From Tom Grant 5 plays 0
03:03 Simplifying a ratio of linear polynomials: 1, -1,… Simplifying a ratio of linear polynomials: 1, -1, and no simplification	Simplifying a ratio of linear polynomials: 1, -1, and no simplification This shows four examples just to cover a variety of "looks". There is at least one of each tyoe, math math emporium factor ratio simplify divide to one bottom factoring subtraction hand token expression x. steps ways opposites minus places property thing addition matter answer result possibilities examples From Tom Grant 8 plays 0
01:21 Simplifying a ratio of polynomials using GCF… Simplifying a ratio of polynomials using GCF factoring	Simplifying a ratio of polynomials using GCF factoring This shows the results of factoring the GCF from the numerator and denominator of an algebraic fraction and then reducing using the division of identical factors resulting in replacing them with 1… math math emporium factor greatest common factor gcf reducing fraction bottom threes result things lot ay times divides term factors From Tom Grant 10 plays 0
02:59 Power and product rules with positive exponents Power and product rules with positive exponents	Power and product rules with positive exponents A short review of these two rules and then an application of them to two multi-factor expressions. math math emporium simplify power product rule power rule exponents times parentheses 11th 17th numbers base rule rules result calculator factor exponent From Tom Grant 8 plays 0
02:43 Solving a compound linear inequality: Graph… Solving a compound linear inequality: Graph solution, basic	Solving a compound linear inequality: Graph solution, basic Presents a compound inequality where both sides have to be solved for the variable first, and then shows how to graph the simplified results math math emporium number line graph solution sides direction inequality statement dot circle compound numbers care form portion hand edition left side thing result x. From Tom Grant 8 plays 0
$Thumbnail for entry Solving a two-step linear inequality with a fractional coefficient$ 02:08 Solving a two-step linear inequality with a… Solving a two-step linear inequality with a fractional coefficient	Solving a two-step linear inequality with a fractional coefficient This contains one example of solving an inequality as described in the title. math math emporium inequality solving sides times symbol result answer deposit left amendments lemons addition lesson equation From Tom Grant 16 plays 0
01:33 Translating a sentence into a multi-step equation Translating a sentence into a multi-step equation	Translating a sentence into a multi-step equation Shows how to interpret a verbal description into an mathematical equation. math math emporium product less than equals equation expression sentence multiplication expressions watson thing reason ey result things step multi From Tom Grant 6 plays 0
02:35 Solving a linear equation with several… Solving a linear equation with several occurrences of the variable: Variables on the same side and distribution	Solving a linear equation with several occurrences of the variable: Variables on the same side and distribution A more complicated version of solving an equation. It specifically addresses dealing with two variable terms on the same side of the equals sigh. math math emporium distribute like terms same operation to both sides wall 12th step side addition thing numbers times distribution parentheses answer result wind vibe subtraction act balancing sides steps variables From Tom Grant 7 plays 0
03:20 Identifying numbers as rational or irrational Identifying numbers as rational or irrational	Identifying numbers as rational or irrational A brief description of the difference between rational and irrational numbers followed by examples of number in both categories. math math emporium rational irrational numbers fraction ratio root roots ninths constants pi fractions decimal pattern integers result sixteenth cube places pioneer end terminating From Tom Grant 7 plays 0