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# Algebra Vocabulary

### 1st semester algebra terms

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

numbers that are not fractions; they may be positive or negative | integers |

a number of a group of numbers written with operation signs | expression |

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

the numbers to the right of zero on the number line | positive numbers |

change | revise |

a graph made up of pieces of straight lines | broken line graph |

perform the operations; find the value- make smaller | simplify |

the product- when factors are the same | power |

the distance between 0 and a number on the number line | absolute value |

the numbers to the left of 0 on the number line | negative numbers |

numbers with the same absolute value on opposite sides of the number line | opposites |

a factor; the number used to tell the base how many times to multiply | base |

a statement tha 2 expressions are equal | equation |

parts of an expression separated by a + or - sign | terms |

rules that tell you which operations to do first | order of operations |

a number that multiplies a variable | coefficient |

replace a variable with a number or expression | substitute |

a letter that represents a number | variable |

numbers or quantities that do not change | constant |

terms that have the same variables with the same exponents | like terms |

the switching property- the order of 2 numbers can be switched and the answer or value will be the same | commutative |

regrouping property; two or moer numbers can be grouped together on one side of the equation, while the numbers can be regrouped on the other side of the equation without effecting the value | associative |

the sharing property; the number outside of the () must be shared (multiplied)with each number inside the() | distributive |

find the solution of an equation | solve |

a value of the variable that makes the equation true | solution |

the regular price minus the discount | sale price |

an equation containing a variable | variable equation |

the amount you save when you buy an item on sale | discount |

substitute the solution for the variable | check |

equations with the same solutions | equilvalent equations |

operations that undo each other | inverse |

adding, subtracting, multiplying, or dividing both sides of an equation by the same number | properties of equality |

a way to write an equation that is a function | function notation |

a dot that shows the location of an ordered pair | graph of an ordered pair |

a test you use on a graph to tell if the graph is a function | vertical line test |

a graph that uses bars to represent information | coordinate axes |

plane with two perpendicular number line | coordinate plane |

a group of ordered pairs in which none of the x's repeat (no two ordered pairs have the same first number) | function |

the point where the coordinate axes cross (0,0) | orgin |

Ax + By = C | standard form |

an equation whose graph is a straight line | linear equation |

(x value) the point where a line crosses the x axis | x intercept |

Y = mx + b | slope intercept form |

the change between 2 points on a line in the up and down directions | rise |

a measure of steepness in a straight line; the rise over the run | slope |

(y value) the point where the line crosses the y axis | y intercept |

the change between two points in the left to right direction | run |