JV Academic Team Math Questions

  1. What is the measure of any interior angle in a regular polygon of 18 sides?
  1. Solve the following equal for x. Two to the x minus one power equals 16.
  1. In degrees, what is the measure of any exterior angle in a regular nonagon?
  1. Factor the following algebraic expression: x2 + 15 + 8x.
  1. John’s salary in 2000 was $46,000. He was promised a 14% raise for 2001. What salary should he receive in 2001?
  1. What is the secant of two pi divided by three?
  1. The time in seconds for a rocket to fall from its apex A is two to the negative second square roots of A. How long does it take the rocket to fall one thousand two hundred ninety six feet? (t=(2-2)square root of A)
  1. A movie ticket costs eight dollars, including a twenty eight percent entertainment tax. What is the cost of the tax alone?
  1. The sine of x plus the cosine of x equals one, over the interval greater than or equal to 0 and less than 360 degrees. What are the values of x over that interval?
  1. A student calculates the density of copper to be 6.3 grams per cubic centimeter. Following this, she finds a chart with the accepted value for the density of copper as 6.62 grams per cubic centimeter. What is her percent error, to the nearest tenth?
  1. The length of a rectangle is one centimeter less than twice the width. The perimeter is 28 centimeters. What is the area, in square centimeters?
  1. What is the value of 15 squared plus 4 factorial?
  1. One half the binomial x-3 equals one-sixth the binomial x+7. What is the value of x?
  1. What trigonometric law is expressed as c squared equals a squared plus b squared minus two a b times the cosine of capital C, where a, b, and c are the sides and capital C the angle opposite side c?
  1. Simplify the following algebraic expression: The quantity (36-x2) divided by the quantity (6 + x).
  1. Identify one type of conic section that is described by the following equation: 5x2 + 3y2 – 7x + 3y = 1.
  1. Z varies inversely to Y. If Y equals 1/3 when Z equals 12, then, if Y equals 8, what does Z equal?
  1. Multiply the quantity (9x-13) times the quantity (5x+12).
  1. Simplify the following algebraic expression: 9x2 – 42x + 49.
  1. Determine the value of the following algebraic expression when x equals negative two: 5x4 – 3x2 + 7x – 9.
  1. What is the least common multiple of 8 and 58?
  1. Multiple answers required. What are the two solutions to the equation the absolute value of the quantity three x minus four equals 10?
  1. A team is 23 – 17 at the halfway mark of the season. How many games must the team win in the second half in order to win 65% of all their games?
  1. What is the largest angle less than 360 degrees for which the tangent is equal to one?
  1. Express your answer to this math problem in simplest terms and be sure to include the proper units. The ration of the lengths of the legs in a right triangle is two to one. What is the length of the shorter length if the area of the triangle equals 25 square inches?

JV Academic Team Math Answers

  1. 160 degrees
  2. x = 5
  3. 40 degrees
  4. (x + 5)(x + 3)
  5. $52,440
  6. Negative 2 (-2)
  7. 9 seconds
  8. $1.75
  9. 0, 90
  10. Negative 4.8 percent (-4.8%)
  11. 45
  12. 249
  13. 8
  14. law of cosines
  15. (6 – x)
  16. Ellipse
  17. ½
  18. 45x2 + 43x – 156
  19. (3x-7)(3x-7) or (3x-7)2
  20. 45
  21. 232
  22. 14/3 and –2
  23. 29
  24. 225 degrees
  25. 5 inches