ALEKS - Formulas to Know Exam
Questions and Answers
slope formula - ANS-y2-y1/x2-x1 (rise/run)
midpoint formula - ANS-((x1+x2)/2, (y1+y2)/2)
distance formula - ANS-√(x2-x1)^2 + (y2-y1)^2
quadratic formula - ANS--b ± √(b² - 4ac)/2a
discriminant formula - ANS-b² - 4ac
discriminant > 0 - ANS-2 solutions
discriminant = 0 - ANS-1 solution
discriminant < 0 - ANS-no real solutions (2 complex solutions)
logarithmic form --> exponential form - ANS-log(b)x=y --> b^y=x
equation of a circle - ANS-(x-h)^2+(y-k)^2=r^2
(h,k) : center, r : radius
circle area - ANS-πr^2
circle circumference - ANS-2πr
cylinder surface area - ANS-2πr^2+2πrh
cylinder volume - ANS-πr^2h
sphere surface area - ANS-4πr^2
sphere volume - ANS-4/3πr^3
cone surface area - ANS-πrl+πr^2
cone volume - ANS-1/3πr^2h
cube surface area - ANS-6s^2
Questions and Answers
slope formula - ANS-y2-y1/x2-x1 (rise/run)
midpoint formula - ANS-((x1+x2)/2, (y1+y2)/2)
distance formula - ANS-√(x2-x1)^2 + (y2-y1)^2
quadratic formula - ANS--b ± √(b² - 4ac)/2a
discriminant formula - ANS-b² - 4ac
discriminant > 0 - ANS-2 solutions
discriminant = 0 - ANS-1 solution
discriminant < 0 - ANS-no real solutions (2 complex solutions)
logarithmic form --> exponential form - ANS-log(b)x=y --> b^y=x
equation of a circle - ANS-(x-h)^2+(y-k)^2=r^2
(h,k) : center, r : radius
circle area - ANS-πr^2
circle circumference - ANS-2πr
cylinder surface area - ANS-2πr^2+2πrh
cylinder volume - ANS-πr^2h
sphere surface area - ANS-4πr^2
sphere volume - ANS-4/3πr^3
cone surface area - ANS-πrl+πr^2
cone volume - ANS-1/3πr^2h
cube surface area - ANS-6s^2