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SAT Math
quadratic formula - Answer -[-b ± √(b² - 4ac)] / (2a) slope formula - Answer -(y₂- y₁) / (x₂- x₁) integers - Answer -..., -3, -2, -1, 0, 1, 2, 3, ... rationals - Answer -fractions (anything expessable as a ratio of integers) reals - Answer -integers, rationals, plus special #s (like √2 or pi) order of opperations - Answer -PEMDAS (Parentheses / Exponents / Multiply / Divide / Add / Subtract) Arithmetic Sequences - Answer -t₁, t₁+ d, t₁+2d, ... Geometric Sequences - Answer -t₁, t₁· r, t₁· r², ... Factors - Answer -ex. factors of 52 are 2, 4, 13, and 26 Multiples - Answer -ex. multiples of 20 are 40, 60, 80, 100, ...
percentages - Answer -part = (percent / 100) x whole average - Answer -average = sum of terms / number of terms average speed - Answer -average speed = total distance / total time sum - Answer -sum = average x (number of terms) mode - Answer -mode = value in the list that appears most often median - Answer -median = middle value in the list fundamental counting principle - Answer -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. probability - Answer -probability = number of desired outcomes / number of total outcomes adding exponents - Answer -x^a · x^b = x^(a+b) subtracting exponents - Answer -x^a / x^b = x^(a-b) negative exponents - Answer -1 / x^b = x^(-b) multiplying exponents - Answer -(x^a)^b = x^(a·b) x^0 - Answer - roots - Answer -√(xy) = √x · √y
circle circumference - Answer -2 · pi · r full circle - Answer -= 360 degrees length of arc - Answer -(n degree / 360 degrees) · 2 · pi · r area of sector - Answer -(n degree / 360 degrees) · pi · r^ rectangle area - Answer -area = lw parallelogram area - Answer -area = lh rectangular solid volume - Answer -volume = lwh right cylinder volume - Answer -volume = pi · r^2 · h prime factors - Answer -2, 3, 5, 7, 11, ... Greatest Common Factor - Answer -ex. GCF of 200 and 60 is 20 Least Common Multiple - Answer -ex. LCM of 200 and 60 is 600 equation of circle - Answer -with midpoint (h,k) ... (x - h)^2 + (y - k)^2 = r^ trapezoid area - Answer -area = [(base1 + base2) / 2] · h Direct Variation - Answer -y=kx
Inverse Variation - Answer -y=k/x Slope intercept form - Answer -y=mx+b Point-Slope form - Answer -y - y₁= m(x - x₁) standard form - Answer -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 Dividing by a negative number in an inequality - Answer -You must flip the sign Graphing < or > on a coordinate plane - Answer -dotted line Graphing ≥ or ≤ on a coordinate plane - Answer -solid line Graphing ≥ or > on a coordinate plane - Answer -shade upwards or to the right Graphing ≤ or < on a coordinate plane - Answer -shade downwards or to the left circle perimeter - Answer -2 pi r Chord - Answer -The distance from one point on the circle to another point on the circle. Sector - Answer -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. arc - Answer -Part of a circle connecting two points on the circle. Central Angle - Answer -An angle whose vertex is the center of the circle
