# Algebraic Expressions Examples

#### Variables as Unknown Quantities

Sometimes we are given information about a number, and we need to figure out what the number is.Sample Problems1. Fill in the blank: 2 + ? = 10.The answer is 8, since 2 + 8 = 10. This solution may...

#### Constants

Constants are quantities that do not change. They are like crotchety old curmudgeons who are stuck in their ways.
3, 57, 299, and are constants.
π and e are also constants.
We can al...

#### Distributive Properties

Suppose we have 3 baskets, each holding 2 apples and 4 oranges.This is the same number of apples and oranges as if we had a bag with 6 apples and a bag with 12 oranges. Except that we now mysteriou...

#### Factoring (Distributive Property in Reverse)

We can work the distributive property in reverse—we just need to check our rear view mirror first for small children.When we rewrite ab + ac as a(b + c), what we are actually doing is factor...

#### Combining Like Terms

You probably don't keep bananas in your sock drawer or toothpaste on your bookshelf. If you do, we can recommend a good therapist. Aside from it being an awful hassle to run from the bookshelf...

#### Independent and Dependent Variables

Let's take a closer look at how independent and dependent variables work by working through some examples:Sample ProblemJim gets paid $10 per hour. The amount Jim gets paid in a week depends on the...

#### Formulas

It is been a long time since you have needed to deal with formula on a daily basis. You probably transitioned to solid foods at around five months. But, now it is back.All right, this is a differen...

#### Evaluating Expressions by Substitution

Remember that a variable is like an empty box that is waiting for a number. It is a box, and it waits patiently. Have you ever seen a box wait? Those things have unbelievable staying power.We call...

#### Evaluating Formulas by Substitution

As we mentioned, a formula has a dependent variable on one side and an expression involving the independent variable(s) on the other side. To evaluate a formula, we evaluate the expression containi...

#### In the Real World

I Like Practical Stuff; Why Should I Care?Hey, we like practical stuff, too! The great thing is that all of these formulas can be applied to real-world situations. That's good news if you live in t...