Search for tag: "answers"

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 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 57 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 17 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 33 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  

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  

Multiplication of 3 or 4 integers

A review of the sign rules for multiplication and three examples to demonstrate these.

From  Tom Grant 9 plays 0  

Finding the maximum or minimum of a quadratic function

This shows how to decide whether you are seeking a maximum or minimum value for a quadratic function and then how to find the vertex of i ts parabola to deternine the x-value that locates the min…

From  Tom Grant 11 plays 0  

Finding the vertex, intercepts, and axis of symmetry from a graph of a parabola

This gives a graph of a parabola which is the graph of a quadratic equation or function. The demonstration first includes classifying it as a parabola that is opening downward or upward. Then it…

From  Tom Grant 14 plays 0  

Discriminant of a quadratic equation

Gives the three possible answers that result from calculating a discriminant, then demonstratew with two different quadratic equations.

From  Tom Grant 12 plays 0  

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

Squaring both sides of this equation means squaring a binomial. This is demonstrated by this video.

From  Tom Grant 26 plays 0  

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

This radical equation when sqaured to eliminate the sqaure root creates a quadratic equation that can then be solved by factoring.

From  Tom Grant 6 plays 0  

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

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…

From  Tom Grant 10 plays 0  

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

Single fractions set equal to each other forms a proportion. When presented with this, it can be "cross multiplied" to eliminate the fractions. The resulting equation has a term with the…

From  Tom Grant 6 plays 0