1. Line q passes through (s, s+4) and is perpendicular to line r. If line r follows , find the value of .
2. Line n intersects the y-axis at 5 and is a horizontal line with a slope of zero. Line n intersects at which point?
3. A right circular cylinder with volume is inscribed in a rectangular solid. If the height of the cylinder is three times its width, find the volume of the rectangular solid.
4. The probability that any student passes a math test is . In a group of 5 students, find the probability that 3 pass.
5. 8 students compete for 2 winning spots on a sports team. Alan is one of the 8 students. If all students are equally likely to win a spot, find the probability that Alan is one of those winners.
6. A piano duo requires 2 students at two pianos. How many duos could be formed from 12 students?
7. Line f intersects line e at (4, 8). If line e follows , find the y – intercept for line f if line f also passes through (-8, -1).
8. Line z intersects the y-axis at a value of -8 and is tangent to at an x value of 2. Write the equation of line z in form. Find the value of .
9. How many integers between 0 and 999 contain a single digit that is a 7?
10. 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?