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# Algebra Chapter 1

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

variable | a letter or symbol used to represent a value that can change. |

coefficient | a number multiplied by a variable. |

constant | a value that does not change |

numerical expression | may contain only constants and operations |

algebraic expression | may contain variables, constants, and operations. |

power | an expression written with an exponent and a base or the value of such an expression. |

square root | a number that is multiplied by itself to form a product |

perfect square | a number whose positive square root is a whole number. |

natural numbers | counting numbers: 1,2,3,... |

whole numbers | Natural numbers and zero: 0,1,2,3... |

integers | whole numbers and their opposites: -3, -2, -1, 0, 1, 2, 3.... |

rational numbers | can be expressed in the forms a/b where a and b are both integers and b is not equal to 0. |

terminating decimals | rational numbers in decimal form that have a finite number of digits. |

repeating decimals | rational numbers in decimal form that have a block of one or more digits that repeats continuously. |

irrational numbers | cannot be expressed in the form a/b. They include square roots of whole numbers that are not perfect squares and nonterminating decimals that do not repeat. |

additive inverse | A number and its opposite. Their sum is zero. |

reciprocal | Two numbers whose product is 1. |

absolute value | The distance of the number from zero on a number line. |

evaluate | to find the value of an algebraic expression by substituting a number for a variable and simplifying. |

opposite | The number that is the same distance from zero on the number line; the additive inverse. |

multiplicative inverse | the reciprocal of a number |

base | the number in a power that is used as a factor |

exponent | the number in a power that tells how many times the base is used as a factor |

order of operations | a process for evaluating expressions, sometimes referred to as PEMDAS |

term | the part of an expression that is added or subtracted |

like terms | terms with the same variables raised to the same exponents. |

commutative property | For addition and multiplication, the order does not matter. For any numbers a and b, a+b = b+a and ab = ba. |

associative property | For addition and multiplication, the grouping does not matter. For any numbers a, b, and c, (a+b)+c = a+(b+c) and (ab)c = a(bc). |

distributive property | For all real numbers a, b, and c: a(b+c) = ab + ac |

real numbers | every point on the number line, either a rational or irrational number |