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# Algebra exam 1

Term | Definition |
---|---|

Quantity | anything that can be measured or counted |

variable | a symbol, usually a letter, that represents the value of a variable quantity |

algebraic expressions | a mathematical phrase that includes one or more variables |

numerical expression | a mathematical phrase involving numbers and operation symbols, but no variables |

set | a well-defined collection of objects or numbers |

element of a set | an object or number in a set |

subset | a set within a set |

natural numbers | numbers you use to count |

whole numbers | natural numbers including zero |

integers | positive and negative natural numbers including zero |

rational numbers | any number that can be written as a fraction |

irrational numbers | can't be written as fractions - decimals that go on forever and don't repeat |

real numbers | rationals and irrationals combined form the real numbers |

deductive reasoning | the process of reasoning logically from given facts to a conclusion |

counterexample | an example showing that a statement is false |

absolute value | the distance of a number from 0, always positive |

quotient | division |

more than | addition |

doubled | multiply |

product | multiply |

less than | subtract |

sum | add |

increased by | add |

times | multiply |

difference | subtract |

one-seventh of | divide |

power | represents repeated multiplication |

exponent | tells you how many times to multiply |

base | the number being multiplied |

simplify | changing a numerical expression to its single numerical value |

reciprocals | multiplicative inverses |

term | a number, variable, or the product of a number and variable |

coefficient | the numerical factor of a term |

constant term | has no variables |

like terms | have the same variables raised to the same powers |

equation | a mathematical sentence with an equal sign |

open sentence | an equation that contains variables and may be true or false depending on the value of the variables |

solution | a value of the variable that makes the equation true |