Heart of Algebra SAT Problems!

  1. How many integers between 0 and 999 contain a single digit that is a 7?
  2. The probability of scoring 90 or above is .35 in a group of 11 students, find the probability that 10 or 11 score a 90 or above?
  3.  In a bag there are 6 blue marbles, 4 red marbles, 7 yellow marbles, and 3 white marbles. How many which should be added so p(white) becomes ?
  4.  Alan has 11 friends and is selecting 5 to come on a trip with him. How many ways can this be done?
  5.  12 students run for Environmental Club Leadership Council which includes a President, Vice President, and Secretary. How many distinct Councils can be formed?