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# Math Vocab Ch.1

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

quantity | anything that can be measured of counted |

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

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

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

power | has two parts.... the base and exponent |

exponent | tells you how many times to use the base as a factor |

base | the part of the power that is being multiplied |

simplify | to replace an expression with its simplest number or form |

evaluate | to replace each variable with a given number and simplify using order of operations |

square root | a number A is a square root of a number B if AxA = B |

raicand | the expression under the radical symbol |

radical | the radical symbol and radicand together |

perfect square | the square of an integer |

set | a well-defined collection of objects; elements listed within braces { } |

elemental of a set | each object in a set |

subset | consists of elements from the given set |

rational numbers | any number you can write in the form a/b where a and b are integers and b does not equal 0 |

natural numbers | 1,2,3,4,5... |

whole nubers | 0,1,2,3,4,5... |

integers | ...,-5,-4,-3,-2,-1,0,1,2,3,4,5... |

irrational numbers | cannot be represented as the quotient of two integers |

real numbers | rational numbers and irrational numbers |

inequality | mathematical sentence that compares the values of two expressions using the inequality symbols such as < > ≤ ≥ |

equivalent espressions | algebraic expressions that have the same value for all values of variables |

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

counter example | an example showing that a statement is false |

absolute value | a number's distance from 0 on a number line (always nonnegative) |

opposites | two numbers that are the same distance from 0 but in opposite directions on a # line |

additive inverses | a number and its opposite |

inverse Property of Addition | the sum of a number and its opposite -> ALWAYS 0 (a+-a=0) |

multiplicative inverse | a number that when multiplied will result in a product of 1 (ax1/a=1) |

reciprocal | if a/b then b/a |

distributive property | used to simplify the product of a number and one or more variables |

term | a number, variable, or the product of a number and one or more variables |

constant | a term that has no variable |

coefficient | a numerical factor of a term |

like terms | have the SAME variable factors |

equation | a mathematical sentence that uses an equal sign |

open sentence | equation containing one or more variables and may be true or false depending on the values of its variables |

solution of an equation (1) | a value of the variable that makes the equation true |

solution of an equation (2) | an ordered pair (x,y) that makes the equation true |

inductive reasoning | process of reaching a conclusion based on an observed pattern |

Created by:
LBurnham