ACT and SAT Math Flashcards
to help on the ACT and SAT
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| 23344378 | quadratic formula | [-b ± √(b² - 4ac)] / (2a) | |
| 23344379 | slope formula | (y₂- y₁) / (x₂- x₁) | |
| 23344842 | integers | ..., -3, -2, -1, 0, 1, 2, 3, ... | |
| 23344843 | rationals | fractions (anything expessable as a ratio of integers) | |
| 23344844 | reals | integers, rationals, plus special #s (like √2 or pi) | |
| 23344845 | order of opperations | PEMDAS (Parentheses / Exponents / Multiply / Divide / Add / Subtract) | |
| 23344846 | Arithmetic Sequences | t₁, t₁+ d, t₁+2d, ... | |
| 23344847 | Geometric Sequences | t₁, t₁· r, t₁· r², ... | |
| 23344848 | Factors | ex. factors of 52 are 2, 4, 13, and 26 | |
| 23344849 | Multiples | ex. multiples of 20 are 40, 60, 80, 100, ... | |
| 23344850 | percentages | part = (percent / 100) x whole | |
| 23344851 | average | average = sum of terms / number of terms | |
| 23344852 | average speed | average speed = total distance / total time | |
| 23344853 | sum | sum = average x (number of terms) | |
| 23344854 | mode | mode = value in the list that appears most often | |
| 23344855 | median | median = middle value in the list | |
| 23344984 | fundamental counting principle | if an event can happen in N ways, and another, independent event can happen in M ways, then both events together can happen in N x M ways. | |
| 23344985 | probability | probability = number of desired outcomes / number of total outcomes | |
| 23345396 | adding exponents | x^a · x^b = x^(a+b) | |
| 23345716 | subtracting exponents | x^a / x^b = x^(a-b) | |
| 23345717 | negative exponents | 1 / x^b = x^(-b) | |
| 23345718 | multiplying exponents | (x^a)^b = x^(a·b) | |
| 23345719 | x^0 | 1 | |
| 23345720 | roots | √(xy) = √x · √y | |
| 23345721 | FOIL | (x+a)(x+b) = x^2 + (b+a)x + ab | |
| 23345722 | difference of squares | a^2 -b^2 = (a+b)(a-b) | |
| 23345723 | a^2 + 2ab + b^2 | (a+b)^2 | |
| 23346424 | a^2 - 2ab + b^2 | (a-b)(a-b) | |
| 23346425 | distance formula | √[(x₂- x₁)^2 + (y₂- y₁)^2)] | |
| 23346426 | mid-point formula | [(x₁+ x₂)/2 , (y₁+ y₂)/2] | |
| 23346427 | intersecting lines | opposite angles are equal (each pair of angles along the same line add to 180 degrees) | |
| 23346428 | area of triangle | area = (1/2)bh | |
| 23346429 | angles of triangle | add up to 180 degrees | |
| 23346430 | length of triangle sides | length of 1 side is always less than the sum of the other 2 | |
| 23346431 | equilateral | three equal sides, all angles = 60 degrees | |
| 23346432 | isosceles | 2 equal sides, 2 equal angles | |
| 23346433 | similar | same shape, corresponding angles are equal, corresponding sides are in proportion | |
| 23346434 | circle area | pi · r^2 | |
| 23346435 | circle circumference | 2 · pi · r | |
| 23346436 | full circle | = 360 degrees | |
| 23347341 | length of arc | (n degree / 360 degrees) · 2 · pi · r | |
| 23347342 | area of sector | (n degree / 360 degrees) · pi · r^2 | |
| 23347343 | rectangle area | area = lw | |
| 23347344 | parallelogram area | area = lh | |
| 23347345 | rectangular solid volume | volume = lwh | |
| 23347346 | right cylinder volume | volume = pi · r^2 · h | |
| 23347347 | prime factors | 2, 3, 5, 7, 11, ... | |
| 23347348 | Greatest Common Factor | ex. GCF of 200 and 60 is 20 | |
| 23347349 | Least Common Multiple | ex. LCM of 200 and 60 is 600 | |
| 23347350 | equation of circle | with midpoint (h,k) ... (x - h)^2 + (y - k)^2 = r^2 | |
| 23348125 | logarithms | y = log(little b)x asks b^y = x | |
| 23348126 | complex numbers | i^0 = 1; i^1 = i; i^2 = -1; i^3 = -i; i^4 = 1; i^5 = i; i^6 = -1; i^7 = -i | |
| 23348127 | sin of an angle | opp / hyp | |
| 23348128 | cos of an angle | adj / hyp | |
| 23348129 | tan of an angle | opp / adj | |
| 23348130 | special sin cos relationship | sin^2(angle) + cos^2(angle) = 1 | |
| 23348131 | degree to radian | degree# · (pi / 180 degrees) | |
| 23348132 | radian to degree | radian# · (180 degrees / pi) | |
| 23348133 | trapezoid area | area = [(base1 + base2) / 2] · h | |
| 23349301 | Direct Variation | y=kx | |
| 23349302 | Inverse Variation | y=k/x | |
| 23349303 | Slope intercept form | y=mx+b | |
| 23349304 | Point-Slope form | y - y₁= m(x - x₁) | |
| 23349305 | standard form | Ax + By=C, where A, B, and C are not decimals or fractions, where A and B are not both zero, and where A is not a negative | |
| 23349306 | Dividing by a negative number in an inequality | You must flip the sign | |
| 23349307 | Graphing < or > on a coordinate plane | dotted line | |
| 23349308 | Graphing ≥ or ≤ on a coordinate plane | solid line | |
| 23349309 | Graphing ≥ or > on a coordinate plane | shade upwards or to the right | |
| 23349310 | Graphing ≤ or < on a coordinate plane | shade downwards or to the left | |
| 23349311 | circle perimeter | 2 pi r | |
| 23349312 | Chord | The distance from one point on the circle to another point on the circle. | |
| 23349313 | Sector | The part of a circle that looks like a piece of pie. A sector is bounded by 2 radii and an arc of the circle. | |
| 23349314 | arc | Part of a circle connecting two points on the circle. | |
| 23349315 | Central Angle | An angle whose vertex is the center of the circle |