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# Algebra 1

### All you need to know

Question | Answer |
---|---|

Commutative property | "3 + 4= 4 + 3" or "2 x 5= 5 x 2" |

Distributive property | a(b+c) = ab+ac, but a/(b+c) ≠ a/b + a/c |

Factoring (Reverse Distributive Property) | ab + ac = a(b+c) |

Reciprocal of "A" in addition and subtraction | -A |

Reciprocal of "A" in multiplication and division | 1/A |

Reciprocal of "-A" in addition and subtraction | A |

Reciprocal of "A/B" in multiplication and division | B/A |

Mixed Numbers | 2 3/4 (has whole number and a fractional part) |

2 + 1/2 | =2 1/2 |

2 x 1/2 | = 1 |

Implied multiplication | a b/c = a x b/c (Not 2 1/2 ≠ 2 x 1/2) |

Ratio | 2:1 or 3:4 .......... A ratio is a statement of how two numbers compare. It is a comparison of the size of one number to the size of another number |

Exponents | An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd means: 2 x 2 x 2 = 8. 34 |

Natural Numbers | The set of numbers 1,2,3,4,... Also called counting numbers |

Whole numbers | Natural numbers (counting numbers) and zero; 0,1,2,3,4,... |

Integers | All whole numbers (both positive and negative) and zero |

Rational Numbers | Numbers that can be written as factions, including terminating and repeating decimals, and interges |

Irrational Numbers | Numbers that cannot be expresses as a ratio of two integers. Their decimal expansions are non-ending and non-repeating (like pi or the square root of 2) |

Pythagorean Theorem | A2+b2=c2 |

FOIL (First, Outside, Inside Last) | (a+b)(c+d)= ac+ ad+bc+bd |

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