Math Problem Set

  1. The final price of a computer is C dollars. This is after a 15% off coupon, 8% sales tax and 4% employee discount. Find an expression for I, the initial price, in terms of the final price.
  2. The quantity of pens supplied can be described as a function of price (p) such that s(p)=80+4p. The quantity of pens demanded can be described as a function of price(p) such that d(p)=100-12p. How do s(p) and d(p) differ?
  3. a=k6b where k is constant. How are a and b related? When a is 10, b is 4. Find a when b is 13.
  4. m2 is directly related to 3r. When m is 4, r is 10. Find r when m is 7.
  5. The final price of a TV is $490 after a 9% tax and 18.25% discount. Find the original price.
  6. Tam’s Club sells 6c cartons of calculators per box and 12m boxes per day. How many boxes are sold in a year?
  7. Tabitha waters 7 plants per day. If there are 8m plants per garden and 2x gardens per neighborhood, how long would it take her to water 12 neighborhoods?
  8. The line t passes through (6,8) and is perpendicular to 9x-12y=90. If line t can be written as ax+by=c, where a, b, and c are constants, find a+b.
  9. Line s is parallel to a line with a y-intercept of 6 and x-intercept of -5. If line s passes through (7, 15) find the y-intercept of line s.
  10. 2x-7y=80 and y-x=10. Find all solutions for x and y.
  11. 3x+11y=-50 and 35s+10=-115y. Find all solutions for x and y.
  12. 9a-10=15b and 18a-20=100b. Find all solutions for a and b.
  13. h$=4h2-10h If 3r$=90c, find all values of c.
  14. x∆c=4x-5xc+10c If 4∆3b=10b, find b∆b.
  15. a∇b=5a-3b+abc If 10∇10=1200, find 5∇6.