1. Write an equation in slope-point for this line.
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1 1. Write an equation in slope-point for this line.
2 2. Which of the following equations describes the linear relation graphed below? I II! " 2 3 % & 2! ' 4 " 2 )% ' 3* 3 III 3% ' 2! & 2 " 0 A. I, II, and III B. I and II C. II and III D. I and III 3. The following graph represents Sam s trip. When does Sam travel the fastest? A. 11:00 a.m. to 12:00 p.m. B. 2:00 p.m. to 2:30 p.m. C. 3:30 p.m. to 5:00 p.m. D. 7:00 p.m. to 8:00 p.m. Foundations and Pre-Calculus 10 Provincial Exam Vos B page 2
3 4. Solve for y in the following system of equations A. 1 B. 2 C. 3 D. 4 2% & 3! " 8 %'2!"'3 5. What is the least common multiple of 36 and 24? A. 2-3 B C. 2 / -3. D / 6. Which of the following statements are true? I 9 " 3 since 3-3 " 9 II 12 " 6 since 6 & 6 " 12 III 5 49 " 7 since 7-7 " 49 IV 5 64 " 4 since " 64 A. I, II, III, and IV B. I and II only C. I, III, and IV only D. I and IV only 7. Write 5 2 as an entire radical. A. 10 B. 20 C. 50 D. 100 Foundations and Pre-Calculus 10 Provincial Exam Vos B page 3
4 8. Simplify 20 A B. 2 5 C. 5 2 D Simplify )3% 8 *. )3%. * A. 27% 9: B. 9% ; C. 9% 9: D. 3% < 10. Evaluate 27 =>? A. '9 B. 9 A C. 9 / D The distance from Bernadette s to Howard s house is 15 miles. Estimate this distance in kilometres. A. Almost 1 km B. 15 km C. 24 km D. 30 km Foundations and Pre-Calculus 10 Provincial Exam Vos B page 4
5 12. Soup is packaged in a container as shown below. Foundations and Pre-Calculus 10 Provincial Exam Vos B page 5
6 13. The graph shows the height of a float plane as it descends to land. Determine the rate of change for this graph. 14. This graph shows the cost of hosting a dance, c, as a function of the number of students attending, n. What is a restriction on the domain? A. The domain can only contain positive numbers. B. The domain can only contain whole numbers between 1000 and C. The domain can only contain whole numbers. D. The domain can only contain whole numbers that are multiples of 50. Foundations and Pre-Calculus 10 Provincial Exam Vos B page 6
7 15. Which set of ordered pairs does not represent a function? A. B. C. D. 16. A line has x-intercept 2 and y-intercept 6. Determine the slope of the line. A. 9 / B. 3 C. '3 D. ' 9 / 17. Points A(3, 8), B(-6, 3), and C (12, k) lie on the same line. What is the value of k? A. 13 B. 6 C. '6 D. ' Joanne sells magazine subscriptions. The table below shows Joanne s pay for the number of subscriptions she sells. How much does Joanne earn for every magazine subscription she sells? A. $54.00 B. $12.00 C. $5.00 D. $4.50 Foundations and Pre-Calculus 10 Provincial Exam Vos B page 7
8 19. Which equation does not represent a linear relation? A.!"%. '10 B. %"'5 C.!"'6%&10 D. 6% & 11! " Which of the following describe the same linear function? A. I and III only B. I and IV only C. II and III only D. II and IV only Foundations and Pre-Calculus 10 Provincial Exam Vos B page 8
9 21. Determine the slope of the following relation: 3% ' 2! & 4 " 0 A. /. B. ' /. C. 2 D Which of the following ordered pairs can be found on the graph of the line 4% & 3! " 36? 23. Which of the following is the equation of the horizontal line containing the point )5, '4*? A. %"'4 B.!"'4 C. %"5 D.!"5 Foundations and Pre-Calculus 10 Provincial Exam Vos B page 9
10 24. Which line has a positive slope and a negative x-intercept? 25. Determine an equation of a line which has a slope of 9 and passes through the point )6, 0*. / A. %&3!'6"0 B. %&3!&6"0 C. %'3!'6"0 D. %'3!&6"0 Foundations and Pre-Calculus 10 Provincial Exam Vos B page 10
11 26. Which of the following graphs represents the equation 2% ' 3! ' 6 " 0? 27. The slope of a line segment joining M)'8, 3* and N)7, C* is.. Determine the value of k. 0 A. < 0 B. '9 C. 9 D. 13 Foundations and Pre-Calculus 10 Provincial Exam Vos B page 11
12 28. For the grad banquet, there is a fixed cost of $250 for the room rental plus a cost per person. If it costs $3276 for 89 people, what is the cost for 110 people? A. $4299 B. $4049 C. $3990 D. $ Determine the value of x if D)%* "'2. A. '2 B. 0 C. 2 D Which linear system is represented by this graph? A. %'!"3 6% & 5! " 14 B. %&!"5 6% & 5! " 14 C. %&!"7 7% & 5! " 14 D. %&!"9 5% & 6! " 14 Foundations and Pre-Calculus 10 Provincial Exam Vos B page 12
13 31. The perimeter of a rectangular field is 276 m. The length is 18 m longer than the width. What are the dimensions of the field? A. 58 m by 80 m B. 68 m by 70 m C. 78 m by 60 m D. 48 m by 90 m 32. Sheldon borrowed $ for his university tuition. He borrowed part of the money at an annual interest rate of 2.4% and the rest of the money at an annual interest rate of 4.5%. His total annual interest payment is $ Determine the linear system that models this situation. A. E&F" E & 0.045F " B. 2E & 2F " E & 0.045F " C E & F " E & 0.045F " E. E&F" E & 0.045F " Which of the following statements are true? Foundations and Pre-Calculus 10 Provincial Exam Vos B page 13
14 I 34. Write 405 in simplest form. I A. 3 5 I B I C. 9 5 I D Simplify )27E 9. F A *? 5 A. 9E ; F < B. 9E 9; F < C. 27E ; F < D. 9E ; F A 36. Foundations and Pre-Calculus 10 Provincial Exam Vos B page 14
15 Simplify )2J & 3K* / A. 6J / &9K / B. 8J / &27K / C. 8J / &24JK&18JK. &12J. K&36K. &27K / D. 8J / &36J. K&54JK. &27K / 39. Penny simplified the expression )% & L*)% & M*, where L N0 and M O0, to the form %. &P%&C. What must be true about Pand C? I P N 0 II P O 0 III C N 0 IV C O 0 A. I and IV only B. II and IV only C. II and III only D. IV only Foundations and Pre-Calculus 10 Provincial Exam Vos B page 15
16 40. Determine a factor of 45E. '125F.. A. 3E & 5F B. 9E ' 5F C. 3E ' 25F D. 9E & 25F 41. Determine a factor of 28%. &5%!'12!. A. 7% ' 6! B. 7% & 6! C. 4% ' 3! D. 4% & 3! 42. Completely factor 3%. &66%'144 A. )% & 24*)% ' 2* B. 3)% &24*)% ' 2* C. )% & 24*)% ' 6* D. 3)% & 24*)% ' 6* 43. What value of k will make the following trinomial a perfect square? A. 4 B. 16 C. 32 D. 64 %. &8%&C Foundations and Pre-Calculus 10 Provincial Exam Vos B page 16
17 44. Determine the measure of the vernier caliper below. A. 9.4 mm B mm C mm D mm 45. Which referent could you use for 1 mm? A. The width of the head of an ant B. The diameter of a beach ball C. The distance between British Columbia and Manitoba D. The length of a sheet of loose-leaf paper 46. Leonard knows he is 5 feet 6 inches tall. He applies for a new passport and needs to know his height in metric units. What is Leonard s height in centimetres? A cm B cm C cm D cm Foundations and Pre-Calculus 10 Provincial Exam Vos B page 17
18 47. A triangle is rotated on a ruler below. Determine the perimeter of the triangle. A. 1 / inches ; B. 3 9 inches 8 C. 2 0 inches < D. 3 / inches ; 48. A paper cup at a water dispenser has a conical shape as shown in the diagram below. Foundations and Pre-Calculus 10 Provincial Exam Vos B page 18
19 49. Calculate the volume of this right square pyramid to the nearest cubic foot. A. 58 cubic feet B. 54 cubic feet C. 41 cubic feet D. 18 cubic feet 50. A barn is a composite object formed by a right rectangular prism with a right triangular prism as its roof. The square window on the barn has side length 2 ft. A farmer wants to paint the entire surface of his barn, including the door, but not the window. Determine the surface area to be painted to the nearest square foot. A. 666 square feet B. 460 square feet C. 662 square feet D. 614 square feet Foundations and Pre-Calculus 10 Provincial Exam Vos B page 19
20 51. In order to hang a sign horizontally from the side of a roof, a special bracket must be created. The bracket is constructed of two right triangles ABC and BCD as shown. If the side of the roof, AD, is 1.87 m long, what length, in metres, is the bracket piece DC? A m B m C m D m 52. From an apartment window 24 m above the ground, the angle of depression to a nearby building is 35 and the angle of elevation is 60 as shown in the diagram below. What is the height, h, of the nearby building? A. 46 m B. 53 m C. 83 m D. 94 m Foundations and Pre-Calculus 10 Provincial Exam Vos B page 20
21 53. CB is twice the length of AB. The length of DB is 4.2 cm. What is the measure of angle x? A B C D Two guy wires support a tower of 25 m high. What is the total length of the two guy wires? A m B m C m D m Foundations and Pre-Calculus 10 Provincial Exam Vos B page 21
22 55. The equation of a line is Ax + 4 y + C = 0. The slope is What is the value of A? 3 and the y-intercept is 4. 2 Record your answer neatly on the Answer Sheet. Foundations and Pre-Calculus 10 Provincial Exam Vos B page 22
23 56. The following graph represents the cost of hiring a plumber to fix your leaky sink. What hourly rate does the plumber charge? Answer to the nearest dollar. Record your answer neatly on the Answer Sheet. 57. A skateboard club holds a raffle. The profit, R)K*, is represented by the function R)K* "2K'150, where K is the number of tickets sold. How many tickets were sold if the profit is $50. Record your answer neatly on the Answer Sheet. Foundations and Pre-Calculus 10 Provincial Exam Vos B page 23
24 58. Determine the value of B if the product of )2% & 1*)3%. &4%'3* is S% / &T%. &U%&V. Record your answer neatly on the Answer Sheet. 59. How many integer values are there for k for which 3%. &C%'4 is factorable? Record your answer neatly on the Answer Sheet 60. A spherical balloon has a radius of 10 cm. If cm 3 of additional air are pumped into the balloon, what is the new radius of the balloon? Answer to the nearest centimeter. Record your answer neatly on the Answer Sheet. Foundations and Pre-Calculus 10 Provincial Exam Vos B page 24
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