Basic Algebra/Introduction to Basic Algebra Ideas/Chapter Review

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Lesson 1. Simple Operations[edit]

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[edit]

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[edit]

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
Original problem.
Do parenthesis first.
Do exponent.
Add.
Answer

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Lesson 4. Working With Negative Numbers[edit]

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[edit]

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 when

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