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# Alegbra review

### Alegbra test 9/23/10

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

What does property mean? | an essential or distinctive attribute that always holds true for any number(s). |

What is Additive Identity Property? example: any number a a+0=a 0+a=a | The sum of any number and zero is equal to the number. |

what is this property? -1+0=-1 | Additive Identity Property. other examples: 1/2+0=1/2 .4+0=.4 15+0=15 |

What is Multiplicative Idenity Property? example: for any number a a*1=a | The product of any number and 1 is equal to the number? other examples: 3/4*1=3/4 4.7*1=4.7 3*1=3 |

What is this property? 82*1=82 | Multiplicative identity property. |

What is Multiplicative Property of zero? example: for any number a a*0=0 0*a=0 | The product of any number and 0 is equal to 0. |

What is this property? -13*0=0 | Multiplicative Property of zero. |

What is Multiplicative Inverse Property? example: for every nonzero number a/b where a b equal sign with a slash through it 0 there is exacty one number b/a such that a/b*b/a=1 | Two numbers whose product is one sre reciprocals. Zero has no reciprocal because 0times any number is 0. |

What is this property? -1/2*-2/1=1 | Multiplicative Inverse Property. |

Waht is Refexive Property of eqality? Example: For any number a a=a | Any quantity is equal to itself. This is like looking in a mirror. example: 1/2=1/2 |

What is the property? 20=20 | Reflexive Property of =. |

What is Symmetric Property of equality? | For any numbers a and b if a=b then b=a if -3=-7+4 then -7+4=-3 |

What is the property? if .52=.25+.27 then .25+.27=.52 | Symmetric Property of = **think about symmetrical to rumember this property. |

What is Tranistive Property of equality? -7=-7/1=>a=b, -7/1=-14/2=>b=c, so -7=-14/2=>a=c | for any number a, b, and c if a=b and b=c and a=c. |

What is Subsitution Property of =? 10- 2(to the 3rd power)*6 10-8*6=> sub 10-48=> sub -38=> sub | If a=b, then a may be replaced by b in any expression. |

What is Distributive property? Example: fro any number a, b, and c, a(b+c)=ab+ac and (b+c)a= | |

What is this property? -13*0=0 | Multiplicative Property of zero. |

What is Multiplicative Inverse Property? example: for every nonzero number a/b where a b equal sign with a slash through it 0 there is exacty one number b/a such that a/b*b/a=1 | Two numbers whose product is one sre reciprocals. Zero has no reciprocal because 0times any number is 0. |

What is this property? -1/2*-2/1=1 | Multiplicative Inverse Property. |

Waht is Refexive Property of eqality? Example: For any number a a=a | Any quantity is equal to itself. This is like looking in a mirror. example: 1/2=1/2 |

What is the property? 20=20 | Reflexive Property of =. |

What is Symmetric Property of equality? | For any numbers a and b if a=b then b=a if -3=-7+4 then -7+4=-3 |

What is the property? if .52=.25+.27 then .25+.27=.52 | Symmetric Property of = **think about symmetrical to rumember this property. |

What is Tranistive Property of equality? -7=-7/1=>a=b, -7/1=-14/2=>b=c, so -7=-14/2=>a=c | for any number a, b, and c if a=b and b=c and a=c. |

What is Subsitution Property of =? 10- 2(to the 3rd power)*6 10-8*6=> sub 10-48=> sub -38=> sub | If a=b, then a may be replaced by b in any expression. |

What is Distributive property? Example: for any number a, b, and c, a(b+c)=ab+ac and (b+c)a= ba+ ca.... | The product of any number and a quantity is that number times each member of the quantity, weather you are adding or subtracting. |

Here is distributive prperty of + | -3(x+7) -3x+(-21) |

Here is distributive property of - | 7(2x-1) 14x-7 |

What is a term? | a NUMBER, VARIABLE, or PRODUCT or QUOTIENT OF NUMBERS AND VARIBLES. |

How many terms? 12xy + 3x - 4y **terms are separated by + and - | 3 terms |

What are like terms? | terms that contain the same variables. (varibles must have the same power too.) |

Combine like terms... 12xy + 3x(squared) - 4y -3xy + x(squared) | 9xy + 4x(squared) - 4y |

What does coefficent mean? | The numerical factor in a term. |

What does commutative property mean? example: For any numbers a, b, and c, a+b=b+a and a*b=b*a. | The order in which you add or multiply two numbers does NOT change their sum or product. |

What does associative property mean? Example: For any numbers a, b, and c, (a+b)+ c = a+ (b+c) and (ab)c =a(bc) | The way you group three numbers when adding or multiplying does not change their sum or product. |

Congrats youhave finshed study for you algebra test!!!! |

Created by:
K.Ocker