A System with No Solution and a System with Infinite Solutions
Presented is a system of equations to which there is no solution the lines are parallel and a system of equations to which the solution is coincident lines the two equations share the same, infinite number of solutions.
Adding Like Terms
Demonstration of how to add like terms in an algebraic expression and application of this skill to a practical problem.
Adding More Complex Expressions
Demonstration of adding terms in a complex algebraic expression and a practical problem demonstrating application of this skill in the real world.
Adding Rational Expressions with Complicated Denominators
An example of adding rational expressions that have binomials and trinomials in the denominator is illustrated.
Adding Rational Expressions with Different Denominators
Rational expressions with different denominators are added and the procedure explained.
Adding Rational Expressions: Practice Problem
Rational expressions with different denominators are added.
Adding Rational Numbers with Different Denominators
In order to add or subtract rational expressions with different denominators, the least common denominator must be found and the fractions rewritten with the same denominator.
Adding and Subtracting Rational Expressions
The rules for adding and subtracting rational expressions are similar to those for adding and subtracting rational numbers, beginning with the rule that in order to be added, rational numbers must have the same denominat..
Addition Property of Equality, The
The addition property of equality is explained and demonstrated.
Addition is a Binary Operation
The rule for adding numbers.