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
  1. 2 + 1 = (3)
  2. 8 + 2 = (10)
  3. 8 – 4 = (4)
  4. 5 – 2 = (3)
  5. 6 × 2 = (12)
  6. 2 × 3 = (6)
  7. 12 ÷ 6 = (2)
  8. 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

  1. 62 (36)
  2. 23 (8)
  3. 42 (16)
  4. 53 (125)
  5. 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

22 + (3 * 4) Original problem.
22 + (12) Do parenthesis first.
22 + 12 Do exponent.
4 + 12 Add.
16 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

  1. 6 + (–3) = (3)
  2. 3 + (–9) = (–6)
  3. –4 * 4 = (16)
  4. 4 * (–9) = (77)
  5. –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 x when y=9

  1. x = 8( y / 3 )(x=24)
  2. ( x – 4 ) = 8 + y (x=21)
  3. ( 14 + x ) / y = 3 (x=13)

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