Commutative, Associative, and Distributive Laws, The
Why the commutative, associative, and distributive laws are important to algebraic operations.
Evaluating a Rational Expression
The method of substituting a value for the variables in a rational expression is called evaluating an expression.
Variables and the Greatest Common Factor
To factor completely, the greatest common factor must include every number and variable that is a factor of each term in the polynomial. A demonstration of how variables can be a part of the greatest common factor.
Using Multiplication to Eliminate the 'x' Variable
Solving a system of equations in which the variable terms are not multiples of each other and have no common factors, using multiplication to eliminate the 'x' variable.
Using Multiplication to Eliminate the 'y' Variable
Solving a system of equations in which the variable terms are not multiples of each other and have no common factors, using multiplication to eliminate the 'y' variable.
Using Multiplication to Change Terms
How to use the multiplication property of equality to generate terms that are additive inverses so the elimination method can be employed to solve a system of equations.
Solve: x2 - 8x 16 = 0
Practice solving a quadratic equation: x2 8x 16 = 0. Because this equation has two identical binomial factors, it has a single solution called a double root.
Solving a Basic Algebraic Equation
The definition of an algebraic equation and how to solve it, using a practical example.
Some Problems are More Easily Solved Using One Variable
Although many problems can be solved with either one equation or a system of equations, one way will sometimes be easier than the other. A word problem involving finding the price per chair given the number of chairs, the total price, and the amount...