More than One Base Raised to a Negative Power
The rule for raising a power to a power is applied to an expression in which a monomial in parentheses is raised to a negative power.
Square Root of a Negative Number is Not a Real Number, The
The square root of any negative number is not a real number. Writing a negative number in radical form is illustrated.
Multiplicative Inverses
Every number has an additive inverse. The concept of inverses in algebra is explained and the use of additive inverses is demonstrated.
Using the Discriminant to Calculate Income from Mug Sales
Using the discriminant to solve a practical problem involving the pricing of mugs for greatest profit.
Using the Distance Formula to Find Distance Between Points
A practice problem is given to find the distance between coordinates using the distance formula.
Using the Least Common Denominator to Solve an Equation
Review of the procedure for solving equations that contain rational expressions.
When to Factor Instead of Using the Quadratic Formula
It makes sense to factor instead of using the quadratic formula when it's easy to find two numbers whose sum is the same as the middle term's coefficient and whose product is equal to the leading coefficient multiplied by the last term. An example i...
Adding Like Terms
Demonstration of how to add like terms in an algebraic expression and application of this skill to a practical problem.
When Elimination and Substitution are Equally Convenient
When a system of equations gives no clear direction toward either the substitution method or the elimination method, use the one you prefer.
Adding Rational Expressions: Practice Problem
Rational expressions with different denominators are added.