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# Algebra

### Algebra For Dummies

Term | Definition |
---|---|

BINOMIAL | An expression with two terms. |

COEFFICIENT | The Multiplier or factor of a variable |

CONSTANT | A number that doesn't change in value |

EXPRESSION | Conbination of numbers and variables grouped together - not an equation or inequality |

FACTOR | (n) Something multiplying something else. (v) To change the format of several terms added together into a product. |

LINEAR | An expression in which the highest power of any variable term is one. |

MONOMIAL | An expression with only one term |

POLYNOMIAL | An expression with several terms. |

QUADRATIC | An expression in which the highest power of any variable term is two. |

SIMPLIFY | To change an expression into an equivalent form that you combined, reduced, factored, or otherwise made more useable. |

SOLVE | To find the value or values of the variable that makes a statement true. |

TERM | A grouping of constants and variables connected by multiplication, division, or grouping symbols and separated from other constants and variables by addition or substraction. |

TRINOMIAL | An expression with three terms. |

VARIABLE | Something that can have many values (usually represented by a letter to indicate that you have choices for its value). |

a+b = b+a | commutative property |

a + (b + c) = (a + b) + c | associative property |

a(b + c) = a . b + a . c | distributive property |

a + 0 = 0 + a = a | additive identity |

a . 1 = 1 . a = a | multiplicative identity |

ax + ay = a(x + y) | Greatest common factor |

x^2 - a^2 = (x - a)(x + a) | Difference of two perfect squares |

x^3 - a^3 = (x - a)(x^2 + ax + a^2) | Difference of two perfect cubes |

x^3 + a^3 = (x + a)(x^2 - ax + a^2) | Sum of two perfect cubes |

Created by:
paulokinjo