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MFM 2P1 Final Exam Review Grade 10 Applied Mathematics ____ K/U Part A: Knowledge and Understanding: 1. The graph of the function y = -2x2 + 3 is a: a. parabola which opens down with vertex (0, 3) b. straight line with y-intercept 3 c. parabola which opens up with vertex (0, 3) d. straight line with y-intercept -2 2. A computer salesman’s salary is represented by the equation W = 300 + 0.04s, where W is the salesman’s salary in dollars, and s is the salesman’s sales in dollars. How many computers must the salesman sell in order to earn $800? 3. The equation of the line with slope 5 through point (3, 10) is: 4. State the solution for the linear system: 4x – 2y = 12 and 4x + 2y = 8 5. One Norwegian Kroner, 1 k, is worth $0.21 Cdn. What does it cost to buy 800 k? 6. Jeff buy’s 300g of Fuzzy Peaches for $1.55. How many grams of Fuzzy Peaches can Nate buy if he has $3.00 to spend on candy? 7. If sin A = 0.620, then what is A to the nearest degree? 8. If A measures 40º, then what is tan A to 3 decimal places? 9. A function is defined by y = -2x + 5. Which of the following points lie on the function? a. (-1, 7) b. (2, 8) c. (0, -3) d. (-4, 3) 10. Which of the following equations represents a quadratic function? a. P = 5(w -100) b. A = 2x2 + 1 c. y = 2x + 1 d. y = 1 +3 x 11. The parabola represented by the equation y = -13x2 + 1 has: a. a maximum b. a minimum c. both a and b d. neither a nor b 12. The value of the trinomial -r2 – 3r – 10, when r = -1 is: 13. A right triangle has sides that are 6 m and 7 m. Find the length of its hypotenuse: 14. Solve the following proportion. a : 5 = 21 : 15 15. June and May share a prize of $5400 in the ratio of 5:2 respectively. How much did June receive? 16. Kim can type at a rate of 55 words per minute. How long will it take her to type a 1200-word essay? 17. Convert the following to a unit rate. 8 meters in 3 months. 18. Find 37% of $525 19. Find the percentage increase in price from $45 to $550. 20. Find the percentage decrease in price from $84 to $45. 21. Solve for x, given the equation x – 7 = 23 22. Solve for a, given the equation 48 – 2a = -10 23. Solve for r, given the equation: – 5(2 – 3r) – 2 = 2(r + 3) 24. The equation of a line passing through point (0, -4) with a slope of 9 is: 25. Which one of these equations is NOT in standard form: a. 25x + 3y + 6 = 0 b. 25x – 3y + 1 = 0 c. x – 3y – 5 = 0 d. 2y – 5x + 22 = 0 e. none of the above are in standard form 26. The ordered pair (-2, -5) would be found in what quadrant? a. I b. II c. III d. IV 27. Rewrite the equation 4x – 2y – 10 = 0 in the form of y = mx + b: 28. Determine the equation of the line represented in the table of values below: x 0 1 2 y -2 2 6 29. Amanda claims that ∆MPQ ~ ∆TDK. If MP = 8 and TD = 4 and PQ = 40, then DK is: 30. Determine the length of side b of a right triangle using the Pythagorean Theorem if side c = 16 and side a = 11; where c is the hypotenuse. 31. A pole 5 m high cases a 6 m shadow. A nearby tree casts a 15 m shadow. What is the height of the tree? 32. A tree is 7 m tall and the angle of elevation to the sun is 5˚. What is the length of the tree’s shadow? 33. A rocket is launched at an angle of 80˚ to the ground and travels in a straight line. Find the rocket’s altitude after it has traveled 15 km horizontally: 34. A ladder leaning against a wall reaches a height of 3 m up the wall and makes an angle of 70˚ with the ground. What is the length of the ladder? 35. The trigonometric ratios can only be used in: a. Scalene triangles b. Isosceles triangles c. Right triangles d. 2 of the above but not all of the above e. All of the above 36. To 4 decimal places, sin45º is equal to: a. 0.7072 b. 0.0072 c. 0.702 d. 0.70 e. 0.7071 37. The line that divides a parabola in half is called the _______________________ and its highest or lowest point is called the __________________. a. parabola, vertex b. vertex, reflection c. vertex, axis of symmetry d. axis of symmetry, vertex e. axis of symmetry, parabola 38. The total number of faces on a hexagonal prism is : a. 4 b. 6 c. 8 d. 10 e. 12 39. The volume of a 5 cm by 7 cm rectangular pyramid with height of 4 cm is ___ cubic cm. a. 46.67 b. 147 c. 21 d. 20 e. 246.67 40. Factoring the following: 80r3 + 32r2 a. 4r2(20r + 8) b. 8r2(10r + 4) c. 16r2(5r + 2) d. 4r(20r2 + 8r) e. none of the above 41. Factor the following: x2 + 8x + 15 a. (x + 15)(x + 1) b. (x + 5)(x - 3) c. (x - 5)(x - 3) d. (x + 3)(x + 5) e. none of the above Page 6 42. Factor the following: 121x2 – 64y2 a. (8x – 11y)(8x + 11y) b. (11x – 8y)(11x + 8y) c. (11y – 8x)(11y + 8x) d. 2 of the above but not all of the above e. none of the above 43. Factor the following: 8x3y2 – 2x a. 2x(4x2y2 – 1) b. 2x(2xy + 1)(2xy + 1) c. 2x(2xy – 1)(2xy – 1) d. 2x(2xy + 1)(2xy – 1) e. none of the above 44. Expand: (3x – 5)(x – 5) a. 3x2 – 20x + 25 b. 3x2 – 10x + 25 c. 3x – 15x + 25 d. 3x2 – 20x + 10 e. none of the above 45. Expand and simplify: 4(x – 2)(3x – 5) a. 3x2 – 11x + 10 b. 12x2 – 44x + 40 c. 12x2 – 4x + 10 d. 12x2 – 44x - 40 e. none of the above 46. Solve the following quadratic equation: x2 + 6x = -9 a. b. c. d. e. x = 3 and x = -3 x = -3 x = 5 and x = 4 x = 6 and x = 1 none of the above 47. Find the surface area of the object below: a. b. c. d. e. 24.3π 32.6π 44.8π 36.2π 16.0π 48. In the function, y = x2 + 6x - 5 the coordinates of the y-intercept (where x is zero) is: a. (0, 6) b. (0, 11) c. (0, 0) d. (0, 5) e. (0, -5) 49. In the function, y = x2 + 3x – 4 the x-intercepts are (solve for x when y is zero): a. 4 and 3 b. 1 and -4 c. 4 and -1 d. 3 and -4 e. None of the above 50. If I weigh 200 pounds, how many kilograms (kg) do I weigh? a. 100 b. 76 c. 10 d. 91 e. None of the above Page 7 51. The mathematical name for the expression “2x² + 3x + 3” is: a. A trinomial b. A bicycle c. A binomial d. Both (a) and (c) e. None of the above 52. The formula most useful for finding the surface area of the label of a soup can without removing it is: a. r² b. 2rh c. 4r² d. rs e. lw 53. The longest side of a right triangle is referred to as the: a. adjacent b. hypotenuse c. opposite d. the longest side e. all of the above could be referred to as the longest side 54. The mathematical shape of a quadratic function’s graph is: a. A horseshoe b. A parabola c. A hump d. The letter “U” e. An S-curve 55. 200 grams is the same as: a. 2000 mg b. 20000mg c. 200000mg d. 200mg e. 20mg You have reached the end of this exam…