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# Chapter 1

### Stack #48106

Term | Meaning | Abbreviation |
---|---|---|

Natural #'s | counting 3's, Ex: 1, 2, 3, 4 | (N) |

Whole #'s | counting #'s & 0 | (W) |

Integers | every # | (Z) |

Rational #'s | Includes repeating/terminating decimals | (Q) |

Irrational #'s | Non-repeatin/ terminatin decimals | (Ir) |

Real #'s | Everything we know of so far | (R) |

Commutative Property | Order doesn't matter when you add or multiply | a+b=b+a, a*b=b*a |

Associative Property | When adding or multiplying, it doesn't matter which #'s you group | (a+b)+c=a+(b+c), a(b*c)=(a*b)c |

Identity Property | Any # multiplied by 1 or added to 0 is still the same # | a+0=a, a*1=a |

Multiplicative Property of 0 | Any # multiplied by 0 equals 0 | a*0=0 |

Inverse Axiom | the sum of a # and its inverse is 0, the product of a # and its reciprocal is 1 | a+(-a)=0, a(1/a)=1 |

Reflexive Property | any # is equal to itself | a=a |

Symmetric Property | If 2 expressions are equivalent, then it doesn't matter which side of the = they're on | If a=b, then b=c |

Transitive Property | If one expression is equivalent to 2 other expressions, then the 2 other expressions must be equivalent as well | If a=b and b=c, then a=c |

Conjunction | Must satisfy both inequalities, connected with "and" | upside-down U |

Disjunction | Must satisfy at east one of the inequalities, connected with "or" | U |

Relation | A set of ordered pairs | (x,y) |

Finite relation | countable set of ordered pairs | listing, mapping, graphing |

Infinite Relation | uncountable set of ordered pairs | graphed inequality or equation |

Domain | the set of "x" values in a relation | Finite- domain expressed as a list, infinite- expressed as an inequality |

Range | the set of "y" values in a relation | Finite- range expressed as a list, infinite- expressed as an inequality |

Function | a relation such that no "x" value is repeated | All "y=" equations are |

Literal equations | Has more than one variable | (lq's) |

Slope-intercept | equation of a line | y=mx+b |

Undefined slope | Parallel to "y" axis, vertical line | y=c |

0 slope | parallel to "x" axis, horizontal line | x=c |

Point-slope formula | when given a point and the slope to find the equation of a line | y-y1=m(x-x1) |

Slope formula | when given 2 points | (y2-y1)/(x2-x1) |

Created by:
emmamalo