Simplify first by Combining Like Terms
Equations can sometimes be simplified to present the same information in a form that is easier to work with. Simplify whenever possible by combining like terms.
Subtraction Problem
MM_ALG_03K_011
Order of Radicals and Exponents, The
In algebraic expressions, radicals and exponents are completed first.
Treating the Numerator and the Denominator as a Package
Numerators and denominators are packages that cannot be broken up, and must first be simplified.
Examples showing the Order of Operations
The order of operations is demonstrated in three examples.
Determining the Value of a Variable
Sometimes a variable can appear more than once in a single algebraic equation. These different variables are represented by different symbols.
Does Order of Operations Matter?
Algebra includes addition, subtraction, multiplication and division which are called operations. In an algebraic expression, these operations are completed in a certain order. The order of these operations is discussed in this clip.
Commutative Law for Addition
The commutative law for addition: a b = b a.
Other Examples using Parentheses in Mathematics
Using parentheses to clarify an expression. Evaluating expressions containing parentheses within parentheses.
Using the Commutative and Associative Laws Together
The commutative and associative laws for addition can be combined. Demonstration of using the associative and commutative laws together in an addition problem.