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Algebraic Expressions Examples


Variables as Unknown Quantities

Sometimes we're given some tantalizing information about a number, and we need to figure out what the number is.Sample ProblemFill in the blank: 2 + ? = 10.The answer is 8, since 2 + 8 = 10. Th...

Constants

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

Distributive Property

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're actually doing is factori...

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 t...

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...

Formulas

Here's video to help illustrate a few formulas. It's been a loooong time since you've needed to deal with formula on a daily basis. You probably transitioned to solid foods at around five mont...

Evaluating Expressions by Substitution

Remember that a variable is like an empty box that's waiting for a number. Have you ever seen a box wait? Those things have unbelievable staying power.We call it substitution when we pu...

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 contai...

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...
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