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# O'Keefe, A Chapter 2

### Chapter 2: Test Preparation and Vocabulary Review

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

What is the associative property? | The grouping does not matter. Example: a+(b+c)=(a+b)+c |

What is the commutative property? | The order does not matter. Example: a+b=b+a |

What is the distributive property? | States that the product of a number and a sum is equal to the sum of the individual products of the addends and the number. Example: a(b + c) = ab + ac. |

What is the identity property? | The number multiplied or added which allows me to get the number back again. Example: 9+0=9 1a=a |

What is a term? | Any number or variable connected by the addition or subtracting symbol. Example: 4x+9 4x, 9 |

What are like terms? | Terms that contain the same variable(s). |

What is a variable term? | Any term that contains a variable. Example: 4x |

What is a numeric term? | Any term made up of only numbers. Example: 9 |

What is a constant? | The numeric term is also called the constant, and a numeric term is any term made up of only numbers. Example: 9 |

What is an open sentence? | An equation that contains [a] variable(s). |

What is an inequality? | A mathematical statement that contains greater or less than symbols; <, >. |

What does an open circle mean? | The number is not included in our solution. Not equal to - <, > |

What does a closed circle mean? | Means the number is included in our solution. = to - ≤, ≥ |

What are the steps for solving equations? | 1. Identify variable 2. Write equation 3. Solve 4. Sentence |

What are the steps for solving inequalities? | When we multiply or divide by a negative number, you need to reverse the inequality sign. |

What does -x mean? | -x means -1. |

What does x mean? | x means 1. |

Solve 2x-3y+5-5x+2y-8 | -3x-1y-3 |

Solve 3(2x-4) | 6x-12 |

Solve -(2x-4) | -2x+4 |

Solve 3(2x-4)-3(x-2) | 3x-6 |

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