1. The imperial unit that has approximately the same length as a metre is the a. foot c. mile b. inch d. yard

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1 Final Exam Review Questions Multiple Choice Identify the choice that best completes the statement or answers the question. 1. The imperial unit that has approximately the same length as a metre is the a. foot c. mile b. inch d. yard 2. Which line is closest to in. long? a. c. b. d. 3. Identify the length, to the nearest hundredth of a metre, that is equal to 10 ft. a m c m b m d m 4. A right pyramid has a volume of 156 m 3. What is the volume of a right prism that has the same base and height as the pyramid? a. 52 m 3 c. 312 m 3 b. 156 m 3 d. 468 m 3 5. What is the volume of a right cylinder with radius 1 m and height 3 m, to the nearest tenth of a cubic metre? a. 3.0 m 3 c m 3 b. 9.4 m 3 d m 3 6. Calculate the surface area of the sphere, to the nearest tenth of a square centimetre. a cm 2 c cm 2 b cm 3 d cm 3 7. A pipe s height is ten times its diameter. If the pipe has a surface area of 1350 cm 2, what is the radius of the pipe? Express the answer to the nearest tenth of a centimetre. a cm c. 4.4 cm b cm d. 3.2 cm 8. What is the height of a right cone with volume 47.8 mm 3 and radius 2.5 mm? Express the answer to the nearest tenth of a millimetre. a. 2.4 mm c mm b. 7.3 mm d mm 9. Determine the radius of a sphere with volume 82.4 yd 3. Express the answer to the nearest tenth of a yard. a. 6.6 yd c. 4.3 yd

2 b. 4.4 yd d. 2.7 yd 10. Mandy is pouring water into cylindrical glasses that have a diameter of 5 cm and a height of 16 cm. If she fills the glasses three-quarters full, how much water will be in each glass, to the nearest cubic centimetre? a. 236 cm 3 c. 942 cm 3 b. 314 cm 3 d cm In, AB = 8 cm and BC = 11 cm. Determine the tangent ratio of A, to the nearest thousandth. a c b d In, AB = 15 cm and AC = 9 cm. Determine the tangent ratio of B, to the nearest hundredth. a c b d Use the diagram to answer the following question(s). Kelly is flying a kite in a field. He lets out 40 m of his kite string, which makes an angle of 72 with the ground.

3 13. Suppose the sun is shining directly above the kite. How far is the kite s shadow from Kelly, to the nearest metre? a. 12 m c. 42 m b. 38 m d. 129 m 14. If sin A =, what is the measure of, to the nearest degree? a. 62 c. 60 b. 61 d Which statement is incorrect? a. You can solve for the unknown side in any triangle, if you know the lengths of the other two sides, by using the Pythagorean theorem. b. The hypotenuse is the longest side in a right triangle. c. The hypotenuse is always opposite the 90 angle in a right triangle. d. The Pythagorean theorem applies to all right triangles. 16. Which point is not located above the x-axis on a coordinate grid? a. (0, 2 0 ) c. (3, 2 3 ) b. ( 3, 2 3 ) d. [1, ( 2) 3 ] 17. The root of a number can be represented by a. all exponents c. a negative exponent b. an integral exponent d. a rational exponent 18. Simplify. a. 25 c. b. d. 19. What is as an equivalent radical? a. c. b. d. 20. Order these irrational numbers from least to greatest:,,,. a.,,, c.,,, b.,,, d.,,, 21. Which of the following pairs of integers has a product of 63 and a sum of 16? a. 7 and 9 c. 7 and 9 b. 7 and 9 d. 7 and The graph shows the number of fans for each team who attended basketball games during the playing season. Which of the following describes the changes in attendance?

4 a. The Slicers attendance is the same as the Lizards attendance. b. The Slicers attendance is increasing while the Lizards attendance is decreasing. c. The Slicers attendance is decreasing while the Lizards attendance is increasing. d. The Slicers overall attendance is greater than the Lizards overall attendance. 23. The graph shows the number of fans for each team who attended basketball games during the playing season. Which team s attendance is changing at a rate that is not constant? a. Both teams c. Neither team b. Lizards d. Slicers 24. Which of the following represents the range of the relation {(0,4), (1,5), (2,6), (3,7)}? a. c. b. d. 25. Which of the following line segments have a negative slope?

5 a. line segments AB and IJ c. line segments EF and KL b. line segments CD and GH d. line segments IJ, GH, and KL 26. What is the slope of the line y = x? a. c. b. 0 d. 27. Identify the slope and y-intercept of the relation represented by the equation 2x 2y + 3 = 0. a. c. slope: 1, y-intercept: slope: 1, y-intercept: b. slope: 1, y-intercept: d. slope: 1, y-intercept: 28. Identify the equation in general form for the line with slope 3 and y-intercept 4. a. 3x y 4 = 0 c. 3x + y 4 = 0 b. 3x y + 4 = 0 d. 3x + y + 4 = 0

29. The equation of the line with slope a. y = x + 9 b. y = x + 3 that passes through the point (0, 3) is c. y = x 9 d. y = x 3 30.

6 29. The equation of the line with slope a. y = x + 9 b. y = x + 3 that passes through the point (0, 3) is c. y = x 9 d. y = x Which equation represents a line that is perpendicular to a line passing through points G( 3, 8) and H(0, 5)? a. y = 2x + 5 c. y = x 5 b. y = x + 8 d. y = 2x 8 Answer the the following question(s) using the information from the scenario below. KC Fitness Club charges a flat fee of $25 per month plus $5 per visit. Workout Zone charges a flat fee of $35 per month plus $3 per visit. Let x represent the number of visits per month and let y represent the total cost per month, in dollars. 31. Which statement best describes what the solution to this linear system represents? a. It costs more to be a member at KC Fitness Club. b. It costs more to be a member at Workout Zone. c. When 50 gym visits are made at either fitness centre, the cost is $5. d. When 5 gym visits are made at either fitness centre, the cost is $ A charity ball costs $2100 for the banquet hall rental plus $60 per person for food. If tickets to the event are $108 each, how many tickets must be sold before the organizers start to make a profit? a. 20 c. 44 b. 35 d Brian paints pictures at the town dock and sells them to tourists. He spends $135 for paint supplies plus $5 for each canvas. If he charges $20 per painting, how many paintings must he sell to make a profit? a. 9 c. 7 b. 25 d. 27 The following question(s) are based on the 8-track cartridge shown below. 34. What is the surface area of an 8-track cartridge that is 13.4 cm long, 10.0 cm wide, and 2.2 cm thick? a. 58 cm 2 c. 186 cm 2 b. 134 cm 2 d. 371 cm Evaluate. a. 8.0 c b d

7 36. Evaluate to four decimal places. a c b d Choose the factored form of yx + yz + xw + zw. a. (y w)(x z) c. (x + y)(z + w) b. (x w)(z y) d. (y + w)(x + z) 38. Which of the following pairs of integers has a product of 15 and a sum of 2? a. 3 and 5 c. 5 and 3 b. 3 and 5 d. 3 and Which of the following expressions cannot be factored over the integers? a. 6x x + 5 c. 6x 2 + x 1 b. 6x x 5 d. 6x 2 + x The graph below represents the flight of a plane traveling from Edmonton to Regina, a distance of 700 km. What does each axis represent? y x a. The x-axis represents distance and the y-axis represents time. b. The x-axis represents speed and the y-axis represents time. c. The x-axis represents time and the y-axis represents distance. d. The x-axis represents time and the y-axis represents speed. 41. If this is a speed-time graph, what scenario best describes what is happening?

8 V (km/h) t (min) a. A car takes off at a constant speed. It stops and then drives back to the starting point. b. A plane takes off and speeds up to a certain speed. It stays at that speed for a period of time and then starts to slow down until it lands. c. A rocket shoots up into the air until it reaches a certain altitude. The rocket then coasts for a period of time before it falls back to the ground. d. A train leaves the station, speeding up until it reaches a constant speed. The train stops and then backs up at a constant speed. 42. A runner goes for a jog. She jogs at a constant speed for 30 min, then walks at a slower speed for 10 min. She then starts jogging and increases her speed over a 5-min period until she reaches her maximum speed. She keeps up that pace for 10 min. Finally, she walks at a constant speed for 10 min until she returns to her starting point. Which of the following graphs illustrates this situation? a. c.

9 b. d. 43. N(0, 2) and P(5, 12) are two points on a line. Determine the slope of the line containing the two points. a. c. b. 2 d What is the equation of the line represented by the following graph?

10 a. y = x + 9 c. y = x + 9 b. y = x + 9 d. y = x Determine the coordinates of the point of intersection of the system of linear equations.

11 a. ( 1, 1) c. (1, 1) b. ( 1, 1) d. (1, 1) 46. The graphs of x + Py = 5 and x Py = 3 intersect at. What is the value of P? a. 2 c. 12 b. 6 d. 24 Use the information below to help answer the following question(s). The Mackenzie Tennis Club charges a $150 initial fee to join the club plus a $20 fee each month. The Mount Douglas Tennis Club charges an initial fee of $100 and $30 each month. 47. What are the coordinates of the solution to the system of linear equations represented by the scenario? a. ( 5, 250) c. (5, 10) b. ( 5, 250) d. (5, 250) 48. Determine the solution to the linear system 8x + 2y = 7 and x 2y = 2. a. c. b. ( 1, 2) d. (1, 2) 49. A school cafeteria sells pasta salad and vegetables and dip. Three orders of pasta salad and two orders of vegetables and dip cost $ Four orders of pasta salad and five orders of vegetables and dip cost $ Determine the price of one order of pasta salad and one order of vegetables and dip. a. pasta salad: $5 c. pasta salad: $3.50 vegetables and dip: $3 b. pasta salad: $4.50 vegetables and dip: $4 vegetables and dip: $2 d. pasta salad: $3.50 vegetables and dip: $1.50

12 50. An after-school garden club sells tomato plants and pepper plants. The price of three tomato plants and four pepper plants is $ The price of five tomato plants and two pepper plants is $ Determine the price of one tomato plant and one pepper plant. a. tomato: $1.50 c. tomato: $2.50 pepper: $2.00 b. tomato: $2.50 pepper: $2.75 pepper: $3.50 d. tomato: $3.00 pepper: $3.50

13 Final Exam Review Questions Answer Section MULTIPLE CHOICE 1. ANS: D DIF: A OBJ: Section 1.3 NAT: M1 TOP: Converting Between SI and Imperial Systems KEY: conversion metre yard 2. ANS: C DIF: A OBJ: Section 1.2 NAT: M1 TOP: Imperial Measurement KEY: measure imperial inch 3. ANS: A DIF: B OBJ: Section 1.3 NAT: M1 M2 TOP: Converting Between SI and Imperial Systems KEY: conversion imperial to SI feet to metres 4. ANS: D DIF: B OBJ: Section 2.3 NAT: M3 TOP: Volume KEY: calculate volume problem solving right prism right pyramid SI 5. ANS: B DIF: A OBJ: Section 2.3 NAT: M3 AN3 TOP: Volume KEY: calculate volume right cylinder SI 6. ANS: A DIF: A OBJ: Section 2.2 NAT: M3 AN3 TOP: Surface Area KEY: calculate surface area SI sphere 7. ANS: D DIF: C OBJ: Section 2.2 NAT: M3 AN3 TOP: Surface Area KEY: determine radius from surface area and diameter right cylinder SI square root 8. ANS: B DIF: B OBJ: Section 2.3 NAT: M3 AN3 TOP: Volume KEY: determine height from volume and radius right cone SI 9. ANS: D DIF: B OBJ: Section 2.3 NAT: M3 AN3 TOP: Volume KEY: cube root determine radius from volume imperial sphere 10. ANS: A DIF: B OBJ: Section 2.3 NAT: M3 AN3 TOP: Volume KEY: problem solving right cylinder SI volume 11. ANS: C DIF: B OBJ: Section 3.1 NAT: M4 TOP: The Tangent Ratio KEY: tangent ratio calculate a tangent ratio right triangle 12. ANS: B DIF: B OBJ: Section 3.1 NAT: M4 TOP: The Tangent Ratio KEY: tangent ratio calculate a tangent ratio right triangle 13. ANS: A DIF: C OBJ: Section 3.3 NAT: M4 TOP: Solving Right Triangles KEY: cosine ratio determine a distance using trigonometry solve a right triangle 14. ANS: B DIF: A OBJ: Section 3.2 NAT: M4 TOP: The Sine and Cosine Ratios KEY: sine ratio determine an angle measure 15. ANS: A DIF: B OBJ: Section 3.3 NAT: M4 TOP: Solving Right Triangles KEY: Pythagorean theorem hypotenuse 16. ANS: D DIF: C OBJ: Section 4.2 NAT: AN3 TOP: Integral Exponents KEY: exponent laws zero exponent negative exponent 17. ANS: D DIF: B OBJ: Section 4.3 NAT: AN3 TOP: Rational Exponents KEY: rational exponent 18. ANS: C DIF: C OBJ: Section 4.3 Section 4.4 NAT: AN3 TOP: Rational Exponents Irrational Numbers KEY: exponent laws power of a power convert power to radical 19. ANS: A DIF: A OBJ: Section 4.4 NAT: AN2 TOP: Irrational Numbers KEY: convert power to radical 20. ANS: D DIF: B OBJ: Section 4.4 NAT: AN2

14 TOP: Irrational Numbers KEY: order irrational numbers 21. ANS: C DIF: A OBJ: Section 5.3 NAT: AN5 TOP: Factoring Trinomials KEY: multiplying adding factors 22. ANS: B DIF: A OBJ: Section 6.1 NAT: RF1 TOP: Graphs of Relations KEY: interpret a graph 23. ANS: D DIF: A OBJ: Section 6.1 NAT: RF1 TOP: Graphs of Relations KEY: interpret a graph 24. ANS: C DIF: B OBJ: Section 6.3 NAT: RF8 TOP: Domain and Range KEY: range set notation 25. ANS: A A line segment with a negative slope slants down from left to right. So, only line segments AB and IJ have negative slopes. DIF: A OBJ: Section 6.5 NAT: RF3 TOP: Slope KEY: negative slope graph 26. ANS: A DIF: A OBJ: Section 7.1 NAT: RF6 TOP: Slope-Intercept Form KEY: slope equation of a line 27. ANS: A DIF: C OBJ: Section 7.2 NAT: RF6 TOP: General Form KEY: slope-intercept form slope y-intercept 28. ANS: A DIF: B OBJ: Section 7.2 NAT: RF7 TOP: General Form KEY: equation of a line general form slope y-intercept 29. ANS: D DIF: B OBJ: Section 7.3 NAT: RF7 TOP: Slope-Point Form KEY: equation of a line given the slope and a point 30. ANS: C Perpendicular lines have slopes that are negative reciprocals. The only line that has a slope of +1 is y = x 5. DIF: B OBJ: Section 7.4 NAT: RF3 TOP: Parallel and Perpendicular Lines KEY: slope perpendicular lines equation of a line ordered pairs 31. ANS: D DIF: B OBJ: Section 8.2 NAT: RF9 TOP: Modelling and Solving Linear Systems KEY: interpret solution linear system 32. ANS: C DIF: B OBJ: Section 9.3 NAT: RF9 TOP: Solving Problems Using Systems of Linear Equations KEY: substitution scenario 33. ANS: A DIF: B OBJ: Section 9.3 NAT: RF9 TOP: Solving Problems Using Systems of Linear Equations KEY: substitution scenario 34. ANS: D DIF: A OBJ: Unit 1 Review NAT: M1 TOP: 2.2 Surface Area KEY: SI calculate surface area rectangular prism 35. ANS: A DIF: A OBJ: Unit 2 Review NAT: AN1 TOP: 4.3 Rational Exponents KEY: cube root whole number 36. ANS: B DIF: B OBJ: Unit 2 Review

15 NAT: AN3 TOP: 4.3 Rational Exponents KEY: exponent laws rational exponents 37. ANS: D DIF: B OBJ: Unit 2 Review NAT: AN5 TOP: 5.2 Common Factors KEY: factors 38. ANS: C DIF: A OBJ: Unit 2 Review NAT: AN5 TOP: 5.3 Factoring Trinomials KEY: factors 39. ANS: D DIF: B OBJ: Unit 2 Review NAT: AN5 TOP: 5.3 Factoring Trinomials KEY: factors trinomial 40. ANS: C DIF: A OBJ: Unit 3 Review NAT: RF1 TOP: 6.1 Graphs of Relations KEY: interpret a graph distance-time graph 41. ANS: B DIF: C OBJ: Unit 3 Review NAT: RF1 TOP: 6.1 Graphs of Relations KEY: interpret a graph speed-time graph 42. ANS: A DIF: B OBJ: Unit 3 Review NAT: RF1 TOP: 6.1 Graphs of Relations KEY: interpret a graph scenario 43. ANS: D DIF: B OBJ: Unit 3 Review NAT: RF3 TOP: 6.5 Slope KEY: determine the slope from two points ordered pairs 44. ANS: C DIF: C OBJ: Unit 3 Review NAT: RF7 TOP: 7.1 Slope-Intercept Form KEY: graph slope-intercept form determine the equation of a line from a graph 45. ANS: D DIF: A OBJ: Unit 4 Review NAT: RF9 TOP: 8.1 Systems of Linear Equations and Graphs KEY: point of intersection solution ordered pair 46. ANS: A DIF: D OBJ: Unit 4 Review NAT: RF9 TOP: 8.1 Systems of Linear Equations and Graphs KEY: graph point of intersection identify the value of the constant 47. ANS: D DIF: B OBJ: Unit 4 Review NAT: RF9 TOP: 8.2 Modelling and Solving Linear Systems KEY: linear system solution point of intersection ordered pair 48. ANS: A DIF: A OBJ: Unit 4 Review NAT: RF9 TOP: 9.2 Solving Systems of Linear Equations by Elimination KEY: solution linear system elimination 49. ANS: D DIF: B OBJ: Unit 4 Review NAT: RF9 TOP: 9.3 Solving Problems Using Systems of Linear Equations KEY: solution linear system scenario words to equation ordered pair 50. ANS: C DIF: B OBJ: Unit 4 Review NAT: RF9 TOP: 9.3 Solving Problems Using Systems of Linear Equations KEY: solution linear system scenario words to equation ordered pair

7 ft. , sketch a right triangle and label the two given sides.

7 ft. , sketch a right triangle and label the two given sides. Math 421A Review for Final Exam *This is NOT enough for you to prepare for the exam. Re-do your assignments and tests, and do the textbook end of chapter reviews!! CHAPTER #1: Measurement 1. Which referent