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Solving a rational equation that simplifies to quadratic: Proportional form, advanced

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 …

From  Tom Grant 10 plays 0  

Solving an equation of the form x^2 = a using the square root property

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.

From  Tom Grant 7 plays 0  

Solving rational equations that simplify to quadratic: Binomial denominators & numerators

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…

From  Tom Grant 58 plays 0  

Solving a quadratic equation by completing the square: Exact Answers

Two examples are shown here, one relatively easy, then one with some fractions involved.

From  Tom Grant 4 plays 0  

Solving a rational equation that simplifies to quadratic: Binomial denominators, constant numerators

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…

From  Tom Grant 18 plays 0  

Solving a radical equation that simplifies to a quadratic equation: One radical, advanced

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.

From  Tom Grant 13 plays 0  

Solving a word problem using a quadratic equation with irrational roots

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…

From  Tom Grant 34 plays 0  

Graphing a parabola of the form y =- ax^2 + bs + c: Integer coefficients

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.

From  Tom Grant 5 plays 0  

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.

From  Tom Grant 6 plays 0  

Complex fraction made of sums involving rational expressions: Problem type 3

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.

From  Tom Grant 11 plays 0  

Quotient rule with negative exponents: Problem type 2

A multi-variable fraction that is reduced by applying the quotient rule and the definition of a negative exponent.

From  Tom Grant 4 plays 0  

Rewriting an algebraic expression without a negative exponent

Two examples of expressions with negative exponents that are changed to expressions with positive exponents, leaving the numerical factor as is.

From  Tom Grant 9 plays 0  

Solving a system of linear equations using elimination with addition

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…

From  Tom Grant 12 plays 0  

Graphing a line given its equation in slope-intercept form: Integer slope

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.

From  Tom Grant 10 plays 0  

Solving a compound linear inequality: Interval notation

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.

From  Tom Grant 19 plays 0  

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

From  Tom Grant 16 plays 0