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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 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...
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 to 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 the...
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...
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