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# 8th grade Algebra I

### Tools of Algebra

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

What is a number's additive inverse? | Its opposite |

What is an algebraic expression? | mathematical phrase that can include numbers, variables, and operation symbols. Also called variable expressions. |

What is an equation? | a mathematical sentence that uses an equal sign |

What is an open sentence? | an equation that contains one or more variables |

How do you simplify a numerical expression? | you replace it with its simplest name |

What is an exponent? | tells how many times a number is used as a factor. |

What is a base? | The number being used as a factor in a power. |

What is a power? | has two parts, a base and an exponent |

How do you evaluate an algebraic expression | you substitute a given number for each variable/ Then simplify the numerical expression using the order of operations. |

What is a natural number? | a number above 0 that does not have a decimal or fraction |

What is a whole number? | a positive number (that includes 0) that does not have a decimal or a fraction. |

What is an integer? | Any number, positive or negative, that does not have a fraction or decimal. |

What is a rational number? | A number whose decimal, if any, terminates or repeats. |

What is an irrational number? | A number whose decimal does not terminate or repeat. |

What is a real number? | Any number known to mankind |

What is a counterexample? | Any example that proves a statement is false |

What is an inequality? | mathematical sentence that compares the value of two expressions using an inequality symbol. |

What is a matrix? | rectangular arrangement of numbers in rows and columns. |

What is an element? | Each item in a matrix |

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

What is a coefficient? | numerical factor of a term |

What are like terms | they have the same variable factors |

What is a scatter plot? | graph that relates two sets of data |

What is the commutative property of Addition? | a+b=b+a |

What is the commutative property of Multiplication? | a*b=b*a |

What is the associative property of addition? | d+(e+f)=(d+e)+f |

What is the associative property of multiplication? | f*(g*h)=(f*g)*h |

What is the identity property of addition? | a+0=a |

What is the identity property of multiplication? | a*1=a |

What is the Inverse Property of Addition? | a+(-a)=0 |

What is the inverse property of multiplication? | a * 1/a = 1 |

What is the Reflexive Property of Equality | a number equals itself a=a |

What is the Symmetric Property of Equality? | If a=b, then b=a |

What is the Transitive Property of Equality? | If a=b and b=c, then a=c |

What is the distributive property? | a(b+c)= ab+ac |

What is the Multiplication property of Zero? | For every real number n*0=0 |

Multiplication property of -1 | For every real number -1*n=(-n) |