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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 |