Factor: 9y2 - 15y 4
Practice factoring a trinomial with a negative middle term: 9y2 - 15x 4.
Factor: 8a2 10a 3
Practice factoring: 8a2 10a 3.
Solving a Word Problem Using One Variable
Writing and solving a word problem using a one-variable approach.
Practical Problem: Calculate the Children's Dose of a Medication
Using a rational expression to solve a practical problem involving calculating the dose of a liquid medication for a child, given the adult dose and Young's rule.
Practical Problem: Finding the Amount of Electrical Current
Evaluating a rational expression to find out why a fuse keeps blowing out. Using the formula to find the total resistance of a parallel circuit.
Examples of Simplifying Expressions
Expressions that include a negative exponent can be simplified by first rewriting the expression with positive exponents.
Factoring Before Simplifying a Rational Expression
Examples of factoring before simplifying a rational expression are presented.
Rules for Subtracting Algebraic Expressions
Rules for subtracting one algebraic expression from another and a step-by-step demonstration.
Factor: 3xy – 9x 6y - 18
Sometimes a greatest common factor for a polynomial expression can be found before any terms are grouped. This can lead to parentheses inside of parentheses, which can be confusing. Using brackets as a substitute for a set of parentheses can help to...
Solving Systems of Equations Using the Elimination Method by Adding
Explanation of the elimination method of solving a system of equations. Adding the equations to eliminate a variable is quicker than using the substitution method, but requires that both equations be in the same form and that the system contain an a...