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This shows how to use the LCD of the two fractions that form a proportion to simplify the equation to a quadratic equation, then solve the quadratic by factoring and check the validity of the …
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A quick presentation of why we only add the numerators of fractions with common denominators, and then a quick example of adding two fractions with the same denominator.
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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 the method of using the point-slope form to write the equation, then solving that form for y to get y = mx + b.
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This describes the process of solving for a particular variable in terms of other variables in an equation. There is a need to go further to combine like terms before it is complete.
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A somewhat fancierversion of seveal solving equation versions that should help solidify the process in your mind.
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It's just what the title says. We use opposite operations on one side to eliminate values that are with the variable and perform the same operations to the other side of the equals sign to keep…
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Shows how these forms are interrelated
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Here we solve a rational equation by multiplying each of the terms in the equation by the LCD of all of the fractions. This allows us to divide to one all of the factors in the denominators and the…
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This is a quadractic equation that can be factored to solve it. The zero product property allows writing the factors each equal to 0 and then solving those linear equatioins.
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Shows how thits form is simply the same as y = mx + b, and then writes the slope and y-intercpt down. It ends with using these to graph the line of points that satisfy this function.
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Multiplying both sides by the reciprocal of the variable's coefficient in order to get the variable alone and keep the equation balanced.
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A description of the process for dividing frations.
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Just a short application of the "keep, change, flip" technique.
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Uses the keep, change, flip mnemonic to demonstrate how you change all divisions of fractions to a multiplication of related fractions.
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Shows reducting fractions to be multiplied together ahead of the multiplication so that littlle or no reduction is needed at the end of the calculation.
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