Search for tag: "parentheses"

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  

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  

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 23 plays 0  

Finding the final amount in a word problem on compound interest

This video gives the formula for calculating compound interest and then demonstrates how to calculate the future amount after a given number of years.

From  Tom Grant 11 plays 0  

Rational exponents: Unit fraction exponents and bases involving signs

Shows three examples of using a unit fraction as an exponent and coverting itt to its radical form sot the result can be further understood.

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  

Multiplying rational expressions made up of linear expressions

This is a quick example of factoring the numerator and denominator of a combined fraction where all the factors are separated in order to find those that divide to one.

From  Tom Grant 5 plays 0  

Simplifying a sum or difference of two univariate polynomials

This shows both a subtraction and an addition example for finding the sum and difference of two trinomials.

From  Tom Grant 23 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  

Evaluating an expression with a negative exponent: Positive fraction base

Two examples are shown with negative exponents. The reciprocal is produced first before applying the exponent to the numerator and denominator in each example.

From  Tom Grant 11 plays 0  

Power and quotient rules with positive exponents

A simplification of a fraction with products and exponents in parentheses raised to an external power

From  Tom Grant 7 plays 0  

Power and product rules with positive exponents

A short review of these two rules and then an application of them to two multi-factor expressions.

From  Tom Grant 8 plays 0  

Power rules with positive exponents: Multivariate quotients

A quick example of distributing an external exponents to all factors in a rational expression

From  Tom Grant 5 plays 0  

Power rules with positive exponents: Multivariate products

An example of how we distribute an exponent outside of parentheses to all factors within.

From  Tom Grant 7 plays 0  

Introduction to the power of a product rule of exponents

A short demo of this rule

From  Tom Grant 5 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