# Search for tag: "sides"

#### 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 55 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 15 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 an exponential equation by finding common bases: Linear exponents

Shows how to create common bases so that then the exponents can be set equal to each other and that equation can be solved.

From  Tom Grant 22 plays 0

#### Dividing rational expressions involving linear expressions

A brief informal reasoning of why any division can be changed to a multiplication by reciprocating the second number or fraction, i. e. the number going into the other number. Then an example of…

From  Tom Grant 6 plays 0

#### Solving an equation written in factored form

Starts with cautiioning against multiplying the factors back together and describes the zero product property to justify this warning. Then shows how to continue from the factored form to separate…

From  Tom Grant 15 plays 0

#### Solving a word problem involving a sum and another basic relationship using a system of lineaer equations

This demo discusses how to set up two equations to solve the situation described, and then choose the best method to use to solve for each of the variables.

From  Tom Grant 10 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

#### Identifying parallel and perpendicular lines from equations

This shows how to transform all given equation that are not in slope-intercept form and then pick out the slopes of all three given lines and compare them to see if they are parallel, perpendicular…

From  Tom Grant 13 plays 0

#### Writing an equation in slope-intercept form given the slope and a point

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.

From  Tom Grant 21 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 17 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 14 plays 0

#### Solving a two-step linear inequality with a fractional coefficient

This contains one example of solving an inequality as described in the title.

From  Tom Grant 16 plays 0

#### Solving a two-step linear inequality: Problem type 1

Shows one example of solving a iinear inequality in two steps.

From  Tom Grant 9 plays 0