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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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Discusses the square root property, then encourages the viewer to write a list of perfect squares in the marginfor reference. Lasly, three examples are presented and solved.
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A The key to solving this kind of equation is multiplying through by the least common denominator to eliminate the fractions first, Then it is a matter of combining like terms on one side of the…
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Two examples are shown here, one relatively easy, then one with some fractions involved.
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The key to solving this equation is eliminating the fractions first by multiplying by the least common denominator and dividingout equal factors. Note that the integer term must be multiplied by…
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Describes how to approach solving a radical eqaution, then demonstrates the stepss needed. It finishes with a check of the answers, stressing that this is an essential step.
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Shows how to substitite the given value for the output variable, then rearranges the resulting equation in standard form. Values for a, b, and c are identified and then entered into the quadratic…
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Shows how to ofirst find the coordinates of the vertex, then choose other inputs to find two more points on each side of the vertex, plott them and draw the graph.
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Shows how to shoose appropriatate input values to find five points, then plot them and draw the graph.
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A complex fraction is multiplied through on the top and the bottom by the common denominator of all smaller fractions, eliminating the denominators of those smaller fractions.
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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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This talks about why we need two equations to solve for two unknown values, and then demonstrates how to add two equations together to eliminate one varaible and solve for the other one, then find…
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This explains how to use the slope and y-intercept to determine points on the line graph of a linear equation in two variables and then draws the straight line graph.
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This describes how to solve each side of a compound inequality, then using the graphs of each part determine the interval notation for the entire compound statement.
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Presents a compound inequality where both sides have to be solved for the variable first, and then shows how to graph the simplified results
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