Solving Inequalities
The procedure for solving an inequality by performing the same operation on each side of the statement.
Practical Problem: Homes and Apartments on 100 Acres
Calculating the number of houses and apartments that can be built on a 60-acre parcel of land given the amount of land allowed for each living unit is expressed in a system of equations involving fractions and solved using the least common denominat...
Summary of the Order of Operations and Use of Parentheses in Algebra
The standard order of operations and the use of parentheses in Algebra are summarized.
Solving a Mixture Problem Using Two Variables
A word problem involving mixing a solution that needs to be 25 percent chlorine is analyzed, the unknown identified, and a two-variable system of equations written to solve the problem.
Some Problems are More Easily Solved Using Two Variables
A practical problem is presented that demonstrates a situation in which two variables and a system of equations is the easiest way to reach a solution.
Identify for Multiplication
The identity for multiplication is one. It applies to all numbers and to algebraic variables and expressions.
Rules for Multiplying Two Monomials
The rule for multiplying two monomials and an example demonstrating its execution.
Practical Problem: Wages of an Electrician and an Apprentice
Using the elimination method of calculate the hourly pay rates of an electrician and his apprentice on two different jobs given the total cost of each job.
Rewriting the Formula for Temperature Conversion
Rewriting the formula for temperature conversion to solve for F.
Inverses Defined
Every number has an additive or a multiplicative inverse.