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# Math 2 Honors Final

### Terms and Formulas

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

Vertex from Standard Form | X=-b/2a Y=f(-b/2a) |

Vertex from Vertex form | (h,k). Take opposite of H |

Discriminant | b2-4ac |

Factoring | Multiply AC. Find factors that add up to B. Then simplify and group |

Imaginary Numbers | Negative under the radical, take out i |

Quadratic Formula | NegativeB plus-minus Sqaure Root of Bsquared minus 4AC/2a |

Multiplying Polynomials | FOIL everything then add |

Simplifying Exponents | Anything to 0 power=1 Anything with a negative exponent=1/#t to that power |

Adding Polynomials | Add like terms. Put into Standard Form |

Subtracting Polynomials | Distribute -1. Add like terms. Put into Standard Form |

Angle Problems | Corresponding Angles Theorem (and converse) Alternate Interior Angles Theorem (and converse) Same Side Interior Angles Postulate (and converse) |

Isosceles Triangle | Exterior Angle Theorem(Exterior=Two other angles added) Base angles = |

Similar Figures | Sides and angles are proportional |

Dialations | image/preimage=scale factor compare every side |

30-60-90 Triangle | X=short leg 2x=hypotenuse Xrad3= long leg |

45-45-90 | X=legs Xrad2=hypotenuse |

Pythagorean Theorem | a2 +b2= c2 |

SOHCAHTOA | Sine=opposite/hypotenuse Cosine=adjacent/hypotenuse Tangent=opposite/adjacent |

Circumference and Area | C=piD A-=piR2 |

Arc Length | m/360 x 2piR |

Sector Area | m/360 x piR2 |

Radians | m/360 x 2pi |

Area on Coordinate Plane | Find Base and Height. Plug into formula |

Perimeter on Coordinate Plane | Distance formula on all. Add |

Distance Formula | Square root of (x1-x2) + (y1-y2) |

Dividing a Segment | Find fraction. Find slope, make sure B is x2,y2. Multiply rise and run by fraction. Add to the points of A |

Volume | Rectangluar Prism=lwh Cube=s3 Cylinder=piR2 x h Pyramid=1/3 x bh Cone=1/3 x piR2 x h Sphere= 4/3 piR3 |

Factorial | That number times every number before |

Conditional Probability | probability A occurs given that B already did |

Permutation | n!/(n-r)! |

Combination | n!/r!(n-r)! |

Independent Events | Multiply to find probability Outcome of one doesn't affect another |