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Shows how to separate out the persct square so they can become whole numbers or expression leaving the remaining factors under the square root.
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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.
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Simplifies a complex fraction by multiplying the top and bottom by the common denominator of the smaller fractions so their denominators can be eliminated. Further simplification is considered.
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Each denominator is factored and then any common factor is used only once and all other unique factors complete the LCD
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This is a quick example of factoring the numerator and denominator of a combined fraction where all the factors are separated in order to find those that divide to one.
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A short reminder of how to reduce first and then multiply two numerical fractions. Then we apply the same priciples to reducing like factors in an example with more than one variable and numerical…
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This shows four examples just to cover a variety of "looks". There is at least one of each tyoe,
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A multi-variable fraction that is reduced by applying the quotient rule and the definition of a negative exponent.
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Two examples of expressions with negative exponents that are changed to expressions with positive exponents, leaving the numerical factor as is.
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A simplification of a fraction with products and exponents in parentheses raised to an external power
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A straightforward examplel of a simplification using the product rule for exponents.
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Shows how to find outputs for several inputs reslulting in a set of points (x, y)
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This demo takes some thought so you may want to watch it a few times to fully understand. Writing the expression and then we simplify it so that it is more usable in future.
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This shows how to represent the two unknowns using their given relationship so that a linear equation can be written using one variable. Then that equation is solved to answer the question
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Shows how to interpret a verbal description into an mathematical equation.
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This video demonstrates how to change a description in words into an algebraic expression.
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