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# math draft

### flash cards

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

Variable | A symbol, usually a letter, that represents one or more numbers. x = 3 |

Algebraic Expression | A mathematical phrase that can include numbers, variables and operation symbols. 3x |

More Than | Indicates addition. x + 7 |

Less Than | Indicates subtraction. x - 7 |

Difference | Indicates subtraction. x - 7 |

Product | Indicates multiplication. 7n |

Quotient | Indicates division. n/7 |

Equation | A mathematical sentence that uses an equal sign. c = 12n |

Open Sentence | An equation that contains one or more variables. c = 12n |

Simplify | To simplify a numerical expression, you replace it with its simplest name. For example, 2 * 8 + 2 * 3 is simplified to 22. |

Exponent | Tells how many times a number (the base) is used as a factor. In the expression "2 to the 4th power" the exponent is 4. |

Base | The number that is used as a factor in a power. In the expression "2 to the 4th power" the base is 2. |

Power | A power has two parts, a base and an exponent. |

Order of Operation | 1. Perform any operations inside grouping symbols. 2. Simplify powers. 3. Multiply and divide in order from left to right. 4. Add and subtract in order from left to right. |

Evaluate | You evaluate an algebraic expression by substituting a given number for each variable. Then simplify the numerical expression using the order of operations. |

Natural Numbers | The numbers in the set 1, 2, 3, . . . |

Whole Numbers | The numbers in the set 0, 1, 2, 3, . . . |

Integers | Numbers that can be written without fractions or decimals. They include zero and negative numbers. -2, -1, 0, 1, 2, . . . |

Rational Numbers | Any number that can be written in the form a/b, where a and b are integers and b is not 0. All integers are rational numbers because any integer can also be written as n/1. |

Irrational Numbers | Cannot be expressed in the form a/b, where a and b are integers. These are numbers where the decimal expression is nonrepeating and nonterminating. Pi is an example. |

Real Numbers | Real Numbers is the set of irrational and rational numbers. |

Counterexample | Any example that proves a statement false is a counterexample. You need only one counterexample to prove that a statement is false. (A proof to show that a statement is true may be more complicated.) |

Inequality | A mathematical sentence that compares the value of two expressions using an inequality symbol, such as < or >. |

Created by:
noahegerton