MTAP REVIEWER

MTAP REVIEWER

Fourth Year

________________ 1. What is the amplitude of y = 3 sin 4x? ________________ 2. If (3/5, y) lies on a unit circle, what is the value of y? ________________ 3. What is the inverse relation of y = x2 + 3x 1? ________________ 4. Find the inverse of f(x) = . ________________ 5. Solve for x: log 3 (x + 2) + log 3 (x + 4) = 1. ________________ 6. If log 2 = 0.3010, log 3 = 0.4771 and log 7 = 0.8451, find log 7.

________________ 7. If tan x < 0 and cos x, the P(x) lies in what quadrant? ________________ 8. What is the maximum value of y = 1 4sinx? ________________ 9. What is 3(/5 in degrees? ________________ 10. Find tan ( if P(() lies on the line joining the origin and (-3, -4). ________________ 11. Change 5 radians to degrees to the nearest degree.

________________ 12. What is the minimum product of two numbers whose difference is 22? ________________ 13. Write 3x 10y 6 = 0 in the form y = mx + b. ________________ 13. Write y = 2x2 + 6x + 3 in the form y = a(x h)2 + k. ________________ 14. What is the period of y = 4cos5x?________________ 15. Solve for x: (5x 3( = 7

________________ 16. Solve for x: (3x + 2( < 4

________________ 17. Solve for x: (4x 1(> 2________________ 18. Name the quadrant in which P(() lies if sin ( < 0 and tan ( > 0.________________ 19. If sin ( = , find ( if 0 < ( < 2(.________________ 20. What is the value of csc 21(/4? ________________ 21. Find the equation of the line whose x and y intercepts are 5 and 3 respectively.

________________ 22. Find the vertex of y = 2x2 x + 3.

________________ 23. What is the equation of the line symmetry in #22?

________________ 24. What is the value of k if the slope of the line passing through (4, -1) and (2, k) is 4/5?

________________ 25. Find the equation of the line passing through P(4, -3) and parallel to

5x 2y + 1 = 0.

________________ 26. Point (1, 3) lies in the graph of y = kx2 2. Find k.

________________ 27. What is the remainder when 3x4 5x3 + x2 9x + 16 is divided by x 2?

________________ 28. Find the value of k so that (x 1) is a factor of kx3 5x2 + kx + 11.________________ 29. Find the rational root of P(x) = 2x3 x2 2x + 6.________________ 30. Find the polynomial equations whose roots are 3 and .________________ 31. If tan x = -5/3 and x is in QIV, find sec x.________________ 32. What is the median of the scores 45, 33, 44, 49, 38, 40, 40, 41, and 45?f5375

score22201525

________________ 33. Find the mean.________________ 34. Find the period of y = tan 4x.

________________ 35. Find the domain of y = .

________________ 36. What is the range in #35?

________________ 37. Find k so that 3x2 5x + 2k = 0 has 2 distinct roots.

________________ 38. What is the maximum value of y = 5 8sinx?

________________ 39. Find the range of y = 42x + 5.

________________ 40. Solve for x in 2sinxcosx + cosx = 0 from [0, 2(].

________________ 41. Find the maximum value of y = 3 4x 2x2.________________ 42. From point A, the angle of elevation of the top of the tree is 600 while from point D, 50 m farther from A on the same level, the angle of elevation of the top of the tree is 300. How high is the tree?________________ 43. Solve for x: log 3 (x2 4) log 3 (x + 2) = 2________________ 44. Solve for x: log 5 (2x + 1) + log 3 (3x 1) > 2

________________ 45. Find the equation of the line passing thru A(4, -3) and parallel to the line 6x y + 2 = 0.________________ 46. Find the perimeter of triangle ABC whose vertices are A(0, 3), B(-1, 4) and

C(2, 2).________________ 47. Solve for x: (1/16)4x + 1 = 8x________________ 48. Find the sum of all multiples of 7 between 101 and 300.

________________ 49. Find the positive root of 2x2 4x + 7 = 0.________________ 50. The line x 2y + 2 = 0 is tangent to the circle with its center (4, -3). Determine the radius of the circle.PAGE 2

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