Basic Algebra/Introduction to Basic Algebra Ideas/Chapter Review

Lesson 1. Simple Operations
An operation is a thing you do to numbers. You use signs like: +, –, ×, or ÷ for operations. The Equals Sign is not an operation.


 * Adding
 * Adding is a way to put two numbers together.


 * 1 + 2 = 3


 * Subtracting
 * Subtracting is a way of taking a number out from another number.


 * 2 – 1 = 1


 * Multiply
 * Multiplying is a way of adding a number many times


 * 3 × 2 = 6


 * Dividing
 * Dividing is a way of subtracting a number many times.


 * 6 ÷ 2 = 3


 * Example Problems:


 * 2 + 1 = 3
 * 8 + 2 = 10
 * 8 – 4 = 4
 * 5 – 2 = 3
 * 6 × 2 = 12
 * 2 × 3 = 6
 * 12 ÷ 6 = 2
 * 4 ÷ 2 = 2

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Lesson 2. Exponents and Powers
Exponent is the number on the top that shows.

Base is the number to be multiplied by itself.


 * Example Problems:


 * 62 = 36
 * 23 = 8
 * 42 = 16
 * 53 = 125
 * 24 = 16

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Lesson 3. Order of Operations
Math problems are done in this order from top to bottom:


 * Parenthesis
 * Exponent ^
 * Multiply ×, Divide ÷ (Left to Right)
 * Add +, Subtract – (Left to Right)


 * Example Problem:

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Lesson 4. Working With Negative Numbers
A positive number is a number more than zero.

A negative number is a number less than zero.


 * Example Problems:


 * 6 + (–3) = 3
 * 3 + (–9) = –6
 * –4 × 4 = -16
 * 4 × (–9) = -36
 * –2 × (–4) = 8

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Lesson 5. Solving Equations Using Properties of Mathematics
It is very important to show math in the simplest way. For example, 5/10 is the same as 1/2, but 1/2 is better because it is easier to understand. The simplest answer is usually the best.


 * Example Problems
 * Find $$x$$ when $$y = 9$$

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