##### Algebra Terms

#### Complete List of Terms and Definitions for Algebra Terms

Terms | Definitions |
---|---|

evaluate | express numerically |

multiplication/division | addition and/or subtraction |

relation | set of ordered pairs |

Standard Form of the Line | Ax+By=C |

closed interval | interval that contains its endpoints |

inequality | statement that two quantities are unequal |

factors | The numbers in an algebraic expression (term) |

quadratic equation | An equation containing a single variable of degree 2. Its general form is ax2 bx c 0, where x is the variable and a, b, and c are constants a â‰ 0. |

trinomial | polynomial with three terms which are not like |

binomial | expression that is the sum or difference of two terms |

compound inequality | two or more inequalities taken together |

domain | set of values of the independent variables for which a function or relation is defined |

natural logarithm | logarithm base e of a number |

conic section | family of curves including circles, ellipses, parabolas, and hyperbolas |

arithmetic sequence | sequence in which the difference between any two consecutive terms is the same |

Numbers that cannot be expressed as one integer divided by another | Irrational numbers |

function | a relation in which each element of the domain is paired with exactly one element in the range. |

combine like terms | adding together terms whose variables and their exponents are the same |

factorial | product of a given integer and all smaller positive integers |

commutative property | you can change the order of the numbers and still get the same answer |

number line | line representing the set of all real numbers |

range | set of y values of a function or relation |

logarithm | exponent of the power to which a base number must be raised to equal a given number |

complement | set of all the elements of a universal set not included in a given set |

cramer's rule | method for solving a linear system of equations using determinants |

improper | If there is a whole number in front of a fraction, it is called a _____ number. |

added to | to join a number to another number or total |

axis of symmetry of a parabola | line passing through the focus and vertex of a parabola |

point-slope form of a linear equation | y mx b, where M is the slope B is the y-intercept. |

coordinates | ordered pair |

integers | a set of numbers |

evaluate | means to find the value |

coordinate | the number under a number line |

rate time distance formula | rt equals d |

Two lines are________ if thier slopes are negatice reciprocals | Perpendicular |

origin | the point in a Cartesian coordinate system where the axes intersect. |

slope | the ratio of the change in y-coordinates to the change in x-coordinates. |

area | size a surface takes up, typically measured in square units |

square root | positive number that must be multiplied times itself to equal a given number |

less | decreased by, the indication of a minus symbol, not as many as |

determinant | single number obtained from a matrix revealing properties of matrix |

focus | special point used to construct and define a conic section |

What is the mode? | The number that appears most. |

simplify | to rewrite an expression as simply as possible |

system of equations | two or more equations containing common variable |

ratio of | comparative value of two or more numbers |

hyperbola | conic section that can be thought of as an inside out ellipse |

less than | indicates the placement of a minus symbol, shows the relationship between two numbers |

minor axis | axis of an ellipse that is perpendicular to the major axis |

solving the open sentence | finding a replacement for the variable that results in a true sentence |

point-slope form | form used the most when finding the equation of a line |

extraneous solution | solution of a simplified version of an equation that does not satisfy the original equation |

quadratic formula | formula for the roots of a quadratic equation |

cartesian coordinates | pair of numbers that is used to locate a point |

cartesian coordinate system | system in which the location of a point is given by coordinates |