ACT Math
Terms : Hide Images
| 698881004 | quadratic formula | [-b ± √(b² - 4ac)] / (2a) | |
| 698881005 | slope formula | (y₂- y₁) / (x₂- x₁) | |
| 698881006 | integers | ..., -3, -2, -1, 0, 1, 2, 3, ... | |
| 698881007 | rationals | fractions (anything expessable as a ratio of integers) | |
| 698881008 | reals | integers, rationals, plus special #s (like √2 or pi) | |
| 698881009 | order of opperations | PEMDAS (Parentheses / Exponents / Multiply / Divide / Add / Subtract) | |
| 698881010 | Arithmetic Sequences | t₁, t₁+ d, t₁+2d, ... | |
| 698881011 | Geometric Sequences | t₁, t₁· r, t₁· r², ... | |
| 698881012 | Factors | ex. factors of 52 are 2, 4, 13, and 26 | |
| 698881013 | Multiples | ex. multiples of 20 are 40, 60, 80, 100, ... | |
| 698881014 | percentages | part = (percent / 100) x whole | |
| 698881015 | average | average = sum of terms / number of terms | |
| 698881016 | average speed | average speed = total distance / total time | |
| 698881017 | sum | sum = average x (number of terms) | |
| 698881018 | mode | mode = value in the list that appears most often | |
| 698881019 | median | median = middle value in the list | |
| 698881020 | 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. | |
| 698881021 | probability | probability = number of desired outcomes / number of total outcomes | |
| 698881022 | adding exponents | x^a · x^b = x^(a+b) | |
| 698881023 | subtracting exponents | x^a / x^b = x^(a-b) | |
| 698881024 | negative exponents | 1 / x^b = x^(-b) | |
| 698881025 | multiplying exponents | (x^a)^b = x^(a·b) | |
| 698881026 | x^0 | 1 | |
| 698881027 | roots | √(xy) = √x · √y | |
| 698881028 | FOIL | (x+a)(x+b) = x^2 + (b+a)x + ab | |
| 698881029 | difference of squares | a^2 -b^2 = (a+b)(a-b) | |
| 698881030 | a^2 + 2ab + b^2 | (a+b)^2 | |
| 698881031 | a^2 - 2ab + b^2 | (a-b)(a-b) | |
| 698881032 | distance formula | √[(x₂- x₁)^2 + (y₂- y₁)^2)] | |
| 698881033 | mid-point formula | [(x₁+ x₂)/2 , (y₁+ y₂)/2] | |
| 698881034 | intersecting lines | opposite angles are equal (each pair of angles along the same line add to 180 degrees) | |
| 698881035 | area of triangle | area = (1/2)bh | |
| 698881036 | angles of triangle | add up to 180 degrees | |
| 698881037 | length of triangle sides | length of 1 side is always less than the sum of the other 2 | |
| 698881038 | equilateral | three equal sides, all angles = 60 degrees | |
| 698881039 | isosceles | 2 equal sides, 2 equal angles | |
| 698881040 | similar | same shape, corresponding angles are equal, corresponding sides are in proportion | |
| 698881041 | circle area | pi · r^2 | |
| 698881042 | circle circumference | 2 · pi · r | |
| 698881043 | full circle | = 360 degrees | |
| 698881044 | length of arc | (n degree / 360 degrees) · 2 · pi · r | |
| 698881045 | area of sector | (n degree / 360 degrees) · pi · r^2 | |
| 698881046 | rectangle area | area = lw | |
| 698881047 | parallelogram area | area = lh | |
| 698881048 | rectangular solid volume | volume = lwh | |
| 698881049 | right cylinder volume | volume = pi · r^2 · h | |
| 698881050 | prime factors | 2, 3, 5, 7, 11, ... | |
| 698881051 | Greatest Common Factor | ex. GCF of 200 and 60 is 20 | |
| 698881052 | Least Common Multiple | ex. LCM of 200 and 60 is 600 | |
| 698881053 | equation of circle | with midpoint (h,k) ... (x - h)^2 + (y - k)^2 = r^2 | |
| 698881054 | logarithms | y = log(little b)x asks b^y = x | |
| 698881055 | 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 | |
| 698881056 | sin of an angle | opp / hyp | |
| 698881057 | cos of an angle | adj / hyp | |
| 698881058 | tan of an angle | opp / adj | |
| 698881059 | special sin cos relationship | sin^2(angle) + cos^2(angle) = 1 | |
| 698881060 | degree to radian | degree# · (pi / 180 degrees) | |
| 698881061 | radian to degree | radian# · (180 degrees / pi) | |
| 698881062 | trapezoid area | area = [(base1 + base2) / 2] · h | |
| 698881063 | Direct Variation | y=kx | |
| 698881064 | Inverse Variation | y=k/x | |
| 698881065 | Slope intercept form | y=mx+b | |
| 698881066 | Point-Slope form | y - y₁= m(x - x₁) | |
| 698881067 | 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 | |
| 698881068 | Dividing by a negative number in an inequality | You must flip the sign | |
| 698881069 | Graphing < or > on a coordinate plane | dotted line | |
| 698881070 | Graphing ≥ or ≤ on a coordinate plane | solid line | |
| 698881071 | Graphing ≥ or > on a coordinate plane | shade upwards or to the right | |
| 698881072 | Graphing ≤ or < on a coordinate plane | shade downwards or to the left | |
| 698881073 | circle perimeter | 2 pi r | |
| 698881074 | Chord | The distance from one point on the circle to another point on the circle. | |
| 698881075 | 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. | |
| 698881076 | arc | Part of a circle connecting two points on the circle. | |
| 698881077 | Central Angle | An angle whose vertex is the center of the circle |
