Summa Math Formulas Flashcards
2300 Goal A Math
Fall 2012
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| 454972395 | Integer | positive and negative whole numbers | |
| 454972396 | Even Numbers | 0, -2, -4, ... | |
| 454972397 | Odd Numbers | 1, 3, 5, ... | |
| 454972398 | Even/Odd Results | even+/-even=even even*even=even odd+-odd=even even*odd=even even+odd=odd odd*odd=odd | |
| 454972399 | Rational Number | a number that can be represented by a fraction where both the numerator and the denominator are integers and the denominator is not zero | |
| 454972400 | Sum of Interior Angles | S=180(n-2) | |
| 454972401 | Sum of Exterior Angles | 360 | |
| 454972402 | Area of a Triangle | A=1/2*b*h | |
| 454972403 | Triangle Inequality | the sum of the lengths of any two sides is greater than the length of the third side AB + AC > BC [AB - AC] < BC < AB + AC | |
| 454972404 | Equilateral Triangle | 3 equal sides 3 60-degree angles split into 2 30-60-90 triangles | |
| 454972405 | Isosceles Triangle | 2 equal sides 2 equal angles | |
| 454972406 | Right Triangle | a^2 + b^2 = c^2 3-4-5 5-12-13 | |
| 454972407 | Special Right Triangles | 30-60-90 = 1:root3:2 45-45-90 = 1:1:root2 | |
| 454972408 | Congruent Triangles | S-S-S S-A-S A-S-A | |
| 454972409 | Similar Triangles | A-A 2 Sides in same proportion and Angle in between is the same A1:A2=L1^2:L2^2 | |
| 454972410 | Parallelograms | opposite sides congruent opposite angles congruent diagonals bisect each other Area=altitude*side | |
| 454972411 | Rectangles | A=L*W P=2L+2W Diagonals equal length | |
| 454972412 | Square | A=S^2 P=4S Diagonal is root2 times side | |
| 454972413 | Area Trapezoid | A=[(B1+B2)*H]/2 | |
| 454972414 | Area Hexagon | A=(3*root3/2)*r^2 | |
| 454972415 | Arithmetic Sequence | An=A1+(n-1)d | |
| 454972416 | Geometric Sequences | An=A1(r)^n-1 | |
| 454972417 | Union | consists of all of the elements that appear in either set without repeating elements | |
| 454972418 | Intersection | consists of all the elements that appear in both sets | |
| 454972419 | Percents | part/whole = %/100 | |
| 454972420 | Percentage Change | ([old-new]/old)*100% | |
| 454972421 | Probability | #successful events / total# possible outcomes | |
| 457879331 | Weighted Averages | (avg1)(number1) + (avg2)(number2) = (avgT)(numberT) | |
| 457879332 | Median | middle number (or average of 2) of set from smallest to largest | |
| 457879333 | Mode | the most frequently occurring number in a set | |
| 457879334 | Fundamental Counting Principle | multiply number of choices available in each option to get total number of options | |
| 457879335 | Permutations | order matters!!! nPr=n! / (n-r)! | |
| 457879336 | Combinations | order doesn't matter nCr=n! / r!(n-r)! | |
| 457879337 | Direct Variation | x1/y1 = x2/y2 | |
| 457879338 | Indirect Variation | x1*y1 = x2*y2 | |
| 457879339 | Length on an Arc | = (x degree / 360) C | |
| 457879340 | Area of a Sector | = (x degree / 360) pi*r^2 | |
| 457879341 | Real Wheel Formula | R=rotations L=circumference, radii, diameters R1*L1=R2*L2 | |
| 457879342 | Extension of the Pythagorean Theorem | (distance between opposite vertices) square root(L^2+W^2+H^2) | |
| 457879343 | Volume of Prism | (area of base)*height | |
| 457879344 | Cylinders | Volume=pi*r^2*h Surface Area=2*pi*r^2 + 2*pi*r*h | |
| 457879345 | Volume of Sphere | Volume=(4/3)*pi*r^3 | |
| 457879346 | Volume of Cone | (1/3)*pi*r^2*h | |
| 457879347 | Volume of Pyramid | (1/3)*L*W*H | |
| 457879348 | Exponent Rules | negative number raised to even power will be positive negative number raised to odd power will be negative numbers with absolute values between 0 and 1 will be a smaller distance from 0 the higher the power to which they are raised | |
| 458811584 | Adding/Subtracting Exponents | factor out the common value 4^a + 4^a + 4^a + 4^a 4^a (1+1+1+1) 4^a * 4^1 4^a+1 | |
| 458811585 | Distance Formula | square root[(x2-x1)^2 + (y2-y1)^2] | |
| 458811586 | Distance/Work Formula | D=R*T W=R*T | |
| 458811587 | Combined Rates | D/W=R1*T1 + R2*T2 | |
| 458811588 | Same Time | D/W= (R1+R2)*T | |
| 458811589 | Same Distance | T(up)=D/R1 T(down)=D/R2 Add and solve for D | |
| 458811590 | Same Work | T(total)= (T1*T2)/(T1+T2) (same as finding combined rate of two workiers working on 1 thing) | |
| 459313964 | Same Rate | (N1*T1)/W1 = (N2*T2)/W2 N=number of workers | |
| 459313965 | Average Rate | (D1+D2) / (T1+T2) or use weighted average formula subsituting D and T with whatever 2 given | |
| 459313966 | Mixture Formula | P1(N1) + P2(N2) = Pfinal(Nfinal) P=percentage of acid N=amount of the solution | |
| 459313967 | Weighted Average | AVG1(N1) + AVG2(N2) = AVGtotal(Ntotal) |