Math 9 Final - Practice Test

Name:Class:Date:Math 9 Final - Practice TestMultiple ChoiceIdentify the choice that best completes the statement or answers the question.1. Which number is not between a.b.b.123 5 31and 14413 1 and4455and44c. d.–1.2 and 0.753. Which of the following rational numbers are equivalent?a.b.d. 2A: 2.7, B: 7.2, C:c. 2. Which value describes the positions of C and D?a.4513 2023and ?542772, D: 1010A and BC and Dc.d.B and DA and C4. Select the symbol that makes the following statement true.0–0.4a.b.c. 5. Evaluate –4.2 (–3.8).a. –8b. 8c.d.–0.40.4c.d.7.443.336. Calculate the exact answer.–2.1 (–3.33) 2.01a.b.-3.24-3.421ID: A

Name:7. Choose the correct value of (x y)(x – y) when x 3.5 and y –8.7.a.b.–63.44148.84c.d.10.424.4c.d.15 / 42 5 / 148. Choose the correct value of ( 3 / 7 ) ( 6 / 5 )a.b.ID: A 5 / 718 / 359. Which operation would you perform last in this calculation?9 (–2.3) (5.8 – 3.1)a.b. –c.d. 10. What is the side length of a square with an area of 16 m2 ?a. 2 mc. 4 mb. 3 md. 5 m11. Evaluate (–8)3 .a. 512b. –512c.d.24–2412. Evaluate –52 .a. 125b. –125c.d.–252513. Simplify (72 ) (79 ) (72 ) 4 (73 ).a. 7 2 2b. 7 0c.d.717614. What is the exponent that makes 34 9 true?a. 1c.b. 2d.ÊÁ 3ÁÁ 315. Evaluate ÁÁÁ 2ÁÁ 3Ëa. 7b. 834ˆ 2 . 16. Evaluate 24 26 .a. 16b. 8017. What is the missing number ina. 18.46b. 18.47c.d.91c.d.641024c.d.18.4818.49 4.3?2

Name:18. Evaluatea.b.ID: A225.3241815225324c.d.15187510819. Which shapes are similar?a.b.A and CB and Cc.d.B and DC and Dc.d.B and CB and D20. Which two triangles are similar?a.b.A and BA and C21. A square with side lengths of 15 cm is reduced by a scale factor of 0.8.Determine the side lengths of the new square.a.b.4 cm8 cmc.d.12 cm18.75 cm22. A plush toy is a scale model of a horse in which 1 cm represents 3 cm.The head on the model is 15 cm longHow long is the head of the real horse?a.b.15 cm45 cmc.d.330 cm60 cm

Name:ID: A23. Triangles ABC and DEF are similar.What is the length of EF?a.b.7.5 cm0.9 cmc.d.1.2 cm1.4 cm24. Which of these objects cannot be decomposed into two prisms?a.c.b.d.25. Each cube is 1.5 cm long. Calculate the surface area.a.b.11.0 cm242.8 cm2c.d.449.5 cm240.5 cm2

Name:ID: A26. Calculate the surface area.a.b.69.5 m274.0 m2c.d.78.5 m256.6 m227. Larry runs a dog-walking service. He charges 5/h plus a flat fee of 6. One day, he earned 16.Determine which equation represents this.a. 5h 6 16c. 16h 5 600b. 5h 6 16d. 16 5h 628. Determine the rate of change for the relation y –4x.a. –4c. 3b. 0d. 729. Determine which situation matches the graph.a.b.Rachael earns 8.50/h babysitting.Christine earns 6/h painting.c.d.Jerry earns 6.50/h shovelling snow.Ian earns 7/h tutoring.30. Estimate a solution to the equation –2x 7 –5.a. 3c. 8b. 6d. 1131. Determine the solution to the equationa.b.2818 9.xc.d.51115

Name:ID: A32. Determine which equation is equivalent to 4x – 1 11.a. 4x 10c. 4x – 1x 11b. 4 – 1x 11xd. 4x 1233. Choose which equation is equivalent toa.b.5x – 3x 303x – 5x 30xx– 2.35c. 5x – 3x 2d. 3x – 5x 234. Determine the relation that matches the table of values.x123y13119a.b.y 21 – 2xy 4x35. Determine the solution to the equationa.b.412c.d.y 3x 7y 15 – 2xx– 7 5.3c. 25d. 3636. Determine which inequality matches the statement: A number is less than 4.a. x 4c. x 4b. x 4d. x 437. Determine the solution to the inequality 9x 6 11x.a. x 3c. x 3b. x 3d. x 338. Dan earns 8.50 per hour as a dishwasher. Determine the fewest number of hours he mustwork to earn more than 408.a. 49c. 61b. 56d. 6739. Determine the coefficient of x in the polynomial 5x2 2x 7.a. 0c. 5b. 2d. 740. Determine the constant term in the polynomial –2 8x.a. – 8c. 2b. – 2d. 841. Determine which polynomial expression matches the algebra tile model.a.b.-2x2 – x - 4-3x2 x - 4c.d.63x2 2x 43x2 – x 5

Name:ID: A42. Determine which polynomial is the quotient of (5x2 – 25x – 40) 5.a. –x2 5x 8c. –x2 – 5x – 8b. x2 5x 8d. x2 – 5x – 843. Determine the sum (2x2 – x 4) (x2 7x 1).a. 3x2 – 6x – 5c. x2 8x 32b. 3x 6x 5d. x2 – 8x – 344. Subtract (–2x2 5x – 9) – (2x – 7).a.b.45.–2x2 3x – 2–2x2 7x – 16c.d.Evaluate the polynomial 4x2 – 6x – 3 if x –2.a. 13c.b. 18d.–2x2 7x – 2–2x2 3x – 16253146. Which of these everyday probabilities is most likely to be low?a.the probability that if you don’t brush your teeth regularly you’ll get cavitiesb. the probability that at least one person in your class is wearing brown socksc. the probability that the sum of two dice is greater than 4d. the probability of choosing an ace of spades from a standard deck47. A coin is tossed three times. What is the number of possible outcomes?a. 2c. 8b. 4d. 1248. What is the probability that you will spin red on this spinner?a.b.1615c.d.141349. How many of these shapes have 5 or more lines of symmetry?a.b.13c.d.746

Name:ID: A50. Which of the these designs has line symmetry?a.c.b.d.51. Which line is a line of symmetry for the design?a.b.ABc.d.CD52. Which of these designs has exactly six lines of symmetry?a.c.b.d.53. What is the order of rotation symmetry of this design?a.b.12c.d.834

Name:ID: A54. Which of the following represents the combined design when Figure ABC is rotated 180? about the originto produce rotation symmetry?a.c.b.d.55. In which case are the two shapes related by line symmetry and rotation symmetry?a.c.b.d.56. Point A has coordinates (4, –3). It is reflected across the x-axis to create point Aʹ′. What are thecoordinates of Aʹ′?a. (1, –3)c. (4, 3)b.(–4, 3)d. (–4, –3)9

Name:ID: A57. If M 47 , determine the measure of the central angle.a.b.94 90 c.d.104 23.5 c.d.115 100 c.d.60 , 70 100 , 100 c.d.7 cm14 cm58. Determine the measure of F.a.b.260 65 59. Determine the measure of Y and Z.a.b.50 , 50 60 , 50 60. If AC 7 cm, what is the length of AD?a.b.3.5 cm5 cm10

Name:ID: A61. Which segment is equal to FG?a.b.EFGHc.d.KLHI62. A tangent comes in contact with the radius of a circle at an angle of:a. 30 c. 90 b. 60 d. all of the above11

ID: AMath 9 Final - Practice TestAnswer SectionMULTIPLE CHOICE1. ANS:OBJ:2. ANS:OBJ:3. ANS:OBJ:4. ANS:OBJ:KEY:5. ANS:OBJ:KEY:6. ANS:OBJ:KEY:7. ANS:OBJ:KEY:8. ANS:OBJ:KEY:9. ANS:OBJ:KEY:10. ANS:OBJ:11. ANS:OBJ:12. ANS:OBJ:13. ANS:OBJ:14. ANS:OBJ:15. ANS:OBJ:16. ANS:OBJ:KEY:17. ANS:OBJ:APTS: 1DIF: Grade 9REF: 1.1N3TOP: Interpreting Rational NumbersKEY: rational numbersBPTS: 1DIF: Grade 9REF: 1.1N3TOP: Interpreting Rational NumbersKEY: rational numbersDPTS: 1DIF: Grade 9REF: 1.1N3TOP: Interpreting Rational NumbersKEY: rational numbersAPTS: 1DIF: Grade 9REF: 1.2N3TOP: Comparing and Ordering Rational Numbersnegative rational numbers positive rational numbersAPTS: 1DIF: Grade 9REF: 1.3N3TOP: Adding and Subtracting Rational Numbersrational numbersBPTS: 1DIF: Grade 9REF: 1.3N3TOP: Adding and Subtracting Rational Numbersrational numbersAPTS: 1DIF: Grade 9REF: 1.4N3TOP: Multiplying and Dividing Rational Numbersrational numbersBPTS: 1DIF: Grade 9REF: 1.4N3TOP: Multiplying and Dividing Rational Numbersrational numbersAPTS: 1DIF: Grade 9REF: 1.5N4TOP: Order of Operations with Rational Numbersrational numbers order of operations BDMASCPTS: 1DIF: Grade 9REF: 2.1N1TOP: Modelling Squares and CubesKEY: Powers, Exponents, Square RootsBPTS: 1DIF: Grade 9REF: 2.2N1TOP: Expressing a Number as a Power KEY: Powers, Exponents, Square RootsCPTS: 1DIF: Grade 9REF: 2.2N1TOP: Expressing a Number as a Power KEY: Powers, Exponents, Square RootsDPTS: 1DIF: Grade 9REF: 2.4N1 N2TOP: Multiplying and Dividing Powers KEY: Powers, Exponents, Square RootsBPTS: 1DIF: Grade 9REF: 2.4N1 N2TOP: Multiplying and Dividing Powers KEY: Powers, Exponents, Square RootsCPTS: 1DIF: Grade 9REF: 2.5N1 N2TOP: Combining PowersKEY: Powers Exponents Square RootsBPTS: 1DIF: Grade 9REF: 2.6N2 N4TOP: Communicate about Calculations with PowersPowers Exponents Square RootsDPTS: 1DIF: Grade 9REF: 2.7N5TOP: Calculating Square RootsKEY: Powers Exponents Square Roots1

ID: A18. ANS:OBJ:19. ANS:OBJ:20. ANS:OBJ:21. ANS:OBJ:22. ANS:OBJ:KEY:23. ANS:OBJ:KEY:24. ANS:OBJ:KEY:25. ANS:OBJ:KEY:26. ANS:OBJ:KEY:27. ANS:OBJ:28. ANS:OBJ:29. ANS:OBJ:30. ANS:OBJ:KEY:31. ANS:OBJ:KEY:32. ANS:OBJ:KEY:33. ANS:OBJ:34. ANS:OBJ:35. ANS:OBJ:36. ANS:OBJ:37. ANS:OBJ:CPTS: 1DIF: Grade 9REF: 2.7N5TOP: Calculating Square RootsKEY: Powers Exponents Square RootsAPTS: 1DIF: Grade 9REF: 3.2SS3TOP: Determining SimilarityKEY: similarDPTS: 1DIF: Grade 9REF: 3.2SS3TOP: Determining SimilarityKEY: similarCPTS: 1DIF: Grade 9REF: 3.3SS4TOP: Scale FactorsKEY: scale factorBPTS: 1DIF: Grade 9REF: 3.5SS4TOP: Solving Problems Involving Similar Shapesscale modelCPTS: 1DIF: Grade 9REF: 3.5SS4TOP: Solving Problems Involving Similar ShapessimilarCPTS: 1DIF: Grade 9REF: 4.2SS2TOP: Composite Objects and Their Componentscomposite objectsCPTS: 1DIF: Grade 9REF: 4.4SS2TOP: Calculating the Surface Area of Composite Objectscomposite objects area of overlap surface areaAPTS: 1DIF: Grade 9REF: 4.4SS2TOP: Calculating the Surface Area of Composite Objectscomposite objects area of overlap surface areaBPTS: 1DIF: Grade 9REF: 5.1PR3TOP: Algebraic RelationsKEY: equationAPTS: 1DIF: Grade 9REF: 5.1PR3TOP: Algebraic RelationsKEY: rate of change relationCPTS: 1DIF: Grade 9REF: 5.2PR2TOP: Graphing Linear RelationsKEY: graphBPTS: 1DIF: Grade 9REF: 5.3PR3TOP: Interpreting the Solution of a Linear Equationsolution equationAPTS: 1DIF: Grade 9REF: 5.4PR3TOP: Solving Linear Relations Using Inverse OperationsequationDPTS: 1DIF: Grade 9REF: 5.4PR3TOP: Solving Linear Relations Using Inverse Operationsequation equivalentAPTS: 1DIF: Grade 9REF: 5.4PR3TOP: Equation Solving StrategiesKEY: equation equivalentDPTS: 1DIF: Grade 9REF: 5.6PR1TOP: Solve Problems Using DiagramsKEY: relationDPTS: 1DIF: Grade 9REF: 5.6PR3TOP: Solve Problems Using DiagramsKEY: equationCPTS: 1DIF: Grade 9REF: 5.7PR4TOP: Graphing Linear InequalitiesKEY: inequalityCPTS: 1DIF: Grade 9REF: 5.9PR4TOP: Solving a Linear InequalityKEY: inequality2

ID: A38. ANS:OBJ:39. ANS:OBJ:40. ANS:OBJ:41. ANS:OBJ:42. ANS:OBJ:KEY:43. ANS:OBJ:44. ANS:OBJ:45. ANS:OBJ:46. ANS:OBJ:KEY:47. ANS:OBJ:KEY:48. ANS:OBJ:49. ANS:OBJ:50. ANS:OBJ:51. ANS:OBJ:52. ANS:OBJ:53. ANS:OBJ:KEY:54. ANS:OBJ:KEY:55. ANS:OBJ:KEY:56. ANS:OBJ:KEY:57. ANS:OBJ:KEY:APTS: 1DIF: Grade 9REF: 5.9PR4TOP: Solving a Linear InequalityKEY: inequalityBPTS: 1DIF: Grade 9REF: 6.1PR5TOP: PolynomialsKEY: degree polynomialsBPTS: 1DIF: Grade 9REF: 6.1PR5TOP: PolynomialsKEY: degree polynomialsBPTS: 1DIF: Grade 9REF: 6.3PR5TOP: Adding PolynomialsKEY: polynomialsDPTS: 1DIF: Grade 9REF: 6.6PR7TOP: multiplication or divide polynomial by a monomialpolynomials quotientBPTS: 1DIF: Grade 9REF: 6.3PR5TOP: Adding PolynomialsKEY: polynomials sumAPTS: 1DIF: Grade 9REF: 6.4PR6TOP: Subtracting PolynomialsKEY: subtractionCPTS: 1DIF: Grade 9REF: 6.5PR5TOP: PolynomialsKEY: polynomialsDPTS: 1DIF: Grade 9REF: 7.1SP4TOP: Recognizing Probability SituationsprobabilityCPTS: 1DIF: Grade 9REF: 7.2SP4TOP: Using Probabilities to Make DecisionsprobabilityAPTS: 1DIF: Grade 9REF: 7.3SP4TOP: Communicate about ProbabilityKEY: probabilityCPTS: 1DIF: Grade 9REF: 8.1SS5TOP: Line SymmetryKEY: line symmetryBPTS: 1DIF: Grade 9REF: 8.1SS5TOP: Line SymmetryKEY: line symmetryCPTS: 1DIF: Grade 9REF: 8.1SS5TOP: Line SymmetryKEY: line symmetryCPTS: 1DIF: Grade 9REF: 8.1SS5TOP: Line SymmetryKEY: line symmetryCPTS: 1DIF: Grade 9REF: 8.2SS5TOP: Rotation SymmetryOrder of Rotation Symmetry Angle of RotationDPTS: 1DIF: Grade 9REF: 8.4SS5TOP: Symmetry on the Coordinate PlaneCartesian plane reflect rotate centre of rotationAPTS: 1DIF: Grade 9REF: 8.4SS5TOP: Symmetry on the Coordinate PlaneCartesian plane reflect rotate centre of rotationCPTS: 1DIF: Grade 9REF: 8.4SS5TOP: Symmetry on the Coordinate PlaneCartesian plane reflect rotate centre of rotationAPTS: 1DIF: Grade 9REF: 9.1SS1TOP: Relating the Central Angle to an Inscribed Anglesubtend arc central angle inscribed angles3