# Equations and Inequalities Topics

## Equations and Inequalities explanations, examples, practice problems. Ready? Let’s do this.

#### Solutions to Equations

What is a Solution to an Equation?Let's start with the basics: An equation is a string of mathematical symbols stating the equality of two expressions.Sample Problems1. x = 5 means "x equals 5...

#### Solving Equations with One Variable

The process of finding all solution(s) to an equation is called "solving the equation." Solving an equation is like solving a crime—you need to make like Sherlock Holmes and collect your...

#### Complicated Equations

As Avril Lavigne would ask: Why do you have to go and make things so complicated, algebra?Good question, Avril. The truth is that we live in a complicated world, so many of the equations we use are...

#### Solving Equations with Multiple Variables

When an equation has more than one variable, we can't just say "solve the equation." That's like telling you to "name the One Tenor." You can't do that, because there are three of them. Not that ma...

#### Single-Variable Inequalities

An equation is a statement that two quantities are equal. An inequality is a statement comparing two quantities that may or may not be equal. As we can compare one real number to another, we c...

#### Solving Inequalities

When we solved equations, we found all values of the variable that made the equation true. Similarly, we can solve inequalities to find all values of the variable that make the inequality true....

#### In the Real World

Believe it or not, there are lots of jobs where you will need to know algebra—including some exciting ones involving explosives. Especially jobs where you're hired to blow up inequalities.Check o...