Practical Problem: Finding the Price of Chairs
A practical problem is used to demonstrate the strategy of doing the addition and subtraction before doing the division when solving an equation.
Multiplying Two Expressions
Multiplying the contents of two sets of parentheses demonstrates how algebra provides the tools to break the most complicated problem into simple, sequential steps.
Shortcut for Solving Equations, A
Any term in an equation can be transferred to the other side if you change the sign. An explanation of this shortcut for solving equations.
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
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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.
Subtracting Fractions: Comparing Fractions With the Same Denominator
This clip explains that if two fractions have the same denominator, the number with the bigger numerator will be to the right of the other on the number line.
Subtracting Fractions: Subtracting Fractions With Different Denominators
This clip explains that subtracting fractions with different denominators requires first writing the two fractions with a common denominator. Once the numerators are determined, it is simply a matter of subtracting the smaller from the larger and ex...