Algebra in Simplest Terms

The Aged Monk The Distributive Property.

natural numbers: the numbers that we use for counting, beginning with 1 and continuing on for infinity

whole numbers: the naturals numbers and zero

integers: natural numbers, their opposites (negative numbers), and zero

fractions: proportions, or ratios between things (the quotient between two integers

rational numbers: decimal numbers (and their equivalents) in which their is a consistent patten of numbers that repeat endlessly

irrational numbers: decimal numbers (and their equivalents) that go on endlessly with no repeating pattern

real numbers: the combination of rational and irrational numbers

Lesson Preview

What You'll Learn

This program provides a survey of basic mathematical terminology. Content includes properties of the real number system and the basic axioms and theorems of algebra. Specific terms covered include algebraic expression, variable, product, sum term, factors, common factors, like terms, simplify, equation, sets of numbers, and axioms. Definitions of these terms lay a foundation for working with the concepts

LESSON 2

The Language of Algebra

The goal of this lesson is to be able to use algebraic termonology, recognize different sets of numbers and how they are used, simplify expressions by collecting like terms, and express everyday situations using algebraic expressions and equations.

variable

terms

algebraic expressions

equations:

What is the fourmula for the people that batted

b = batted

outs

left on base

runs scoter

b = o + l + r

What is the formula for the magic number?

When can you say , "If the worse possible thing happens and my team looses all the rest of their games, and the other team wins all the rest of their games, we're still in the playoffs (or we're still the champions) we are guaranteed to come out ahead of them.

What is the formula that tells us when that will happen?

Look to see how many games my team won. (It doesn't matter how many they lost.

The I look to see how many games the other team lost (it doesn't matter how many they won.)

I then take my team's victories and add it to the other teams losses, the subtract that from the number of games in the season plus 1.

(m + 1) - (w + l) = the magic number

Axioms are defining rules

Distributive Property of Multiplication

Commutative Property for addition

Commutative Property for multiplication

Associative Property of addition

Associative Property of Multiplication

factors

common factors

To discover the answer, watch the video lesson!

How to Use This Study Guide

What You'll Learn

The of objective of this study guide is to test -- and thereby to ensure -- your comprehension of the skills and concepts taught in this chapter. The methodology is simple to follow and uses your time efficiently. Here are the recommended steps:

Need for viewing the video, read the objectives.

Watch the video. As you watch, stay aware of the objectives and key terms. Ask questions of yourself. Don't be afraid to underline what you feel is important -- or make marginal notes.

Go to the Challenged section of the lesson. Answer the questions they are as this can "closed book."

Thing go to the answer Sheet and compare your answers with those given. If necessary, go to the places in the video that explain the answers (time references are given).

To grade yourself, divide your correct answers by the total number of questions, and multiply the result by 100. This is your percentage correct. If the percentage is less than 65%, you should reread the material for that lesson.

Ultimately, the purpose of giving yourself a score is not degrade yourself, but rather, it is to determine the areas where your comprehension is weak. Toward that end, each answer has a page reference to the tax and a brief explanation of why the answer is correct. We suggest that you follow up these page references by rereading the relevant sections of the text and making sure you understand the answer.

LESSON 2

The Language of Algebra