Math 9 Comprehensive Review Package - Answers Unit 1 - Square Roots & Surface Area 1. ANS: A 2. ANS: C 3. ANS: D 4. ANS: D 5. ANS: C 6. ANS: 7. ANS: 18 8. ANS: The length of side s is about 7.1 cm. 9. ANS: The surface area of the object is 26 cm 2. 10. ANS: The surface area of the object is 22 cm 2. b) The surface area of the object is 22 cm 2. c) The surface area of the object is 22 cm 2. d) The surface area of the object is 22 cm 2. The answers are all the same. 11. ANS: The surface area of the composite object is 2650 cm 2. 12. ANS: The total surface area of the wooden block is 6400 cm 2. 13. ANS: The surface area of the object is about 560 cm 2. 14. ANS: The surface area of the barn is about 936 m 2. The frosted area of the cake is about 2425 cm 2. 1 P a g e
Unit 2 - Powers & Exponent Laws 1. ANS: A 2. ANS: D 3. ANS: A 4. ANS: B 5. ANS: C 6. ANS: A 7. ANS: B 8. ANS: D 9. ANS: D 10. ANS: A 11. ANS: A 12. ANS: Base: 8 Exponent: 7 13. ANS: From least to greatest:,,, 14. ANS: Square -4 The first 4 terms are: 2, 6, 18, 54 The 7th term is 1458. b) 19. ANS: 241 2 P a g e
Unit 3 - Rational Numbers 1. ANS: D 2. ANS: C 3. ANS: D 4. ANS: C 5. ANS: D 6. ANS: A 7. ANS: C 8. ANS: D 9. ANS: B 10. ANS: D 11. ANS: A 12. ANS: A 13. ANS: C 14. ANS: A 1 2, 1.2, - 1 1, -, -1.4 5 7 11 4 142.29 3 P a g e
PROBLEM Calipatria: 0.086; Winnipeg: 0.238; Kimberly: 1.113 b) Mark each number from part a on the number line. 1 1.113 0.238 0 Sea level 0.086 c) Calipatria s elevation is closest to sea level. It is closest to 0 on the number line. d) Kimberly has the greatest elevation. Its elevation is highest on the number line. 19. ANS: - 2 3 - (- 4 1 ) - 2 5 4 3 6 = 1 1 4 20. ANS: The shares decreased in value by $152.40. b) The shares increased in value by $271.70. c) Overall, Karen gained $119.30. 21. ANS: Error: In line 3, the student evaluated instead of. Correction: 4 P a g e
22. ANS: Find the total change in value of all stocks. The total change in value of Fashid s stocks is $669.10. Fashid lost money. Unit 4 - Linear Relations 1. ANS: C 2. ANS: B 3. ANS: B 4. ANS: B 5. ANS: A 6. ANS: B 7. ANS: D 8. ANS: D 9. ANS: B 10. ANS: B 11. ANS: C 12. ANS: C 13. ANS: B 14. ANS: D B b) $51.50 b) 162 5 P a g e
Unit 5 - Polynomials 1. ANS: C 2. ANS: B 3. ANS: D 4. ANS: B 5. ANS: A 6. ANS: D 7. ANS: D 8. ANS: C 9. ANS: B 10. ANS: C 11. ANS: C 12. ANS: D 13. ANS: B 14. ANS: 3 x 2 -tiles, 4 -x-tiles, and 9-1-tiles Coefficients: 6, -5 Variable: x Degree: 2 Constant term: 8 19. ANS: 20. ANS: Errors:, not 0, not 5x 6 P a g e
21. ANS: 22. ANS: 23. ANS: PROBLEM 24. ANS: No, the student s work is not correct. After the brackets are removed, the fourth term should be 13x not 13x. Unit 6 - Linear Equations & Inequalities 1. ANS: D 2. ANS: B 3. ANS: C 4. ANS: C 5. ANS: D 6. ANS: D 7. ANS: B 8. ANS: C 9. ANS: C 10. ANS: C 11. ANS: C 12. ANS: A 13. ANS: A 14. ANS: B 7 P a g e
b) l = 3.8 Errors: After multiplying both sides by 4, the student should divide both sides by 5, not add 5 to both sides. x = 3 Errors: The student forgot to multiply -5 by 3 when using the distributive property. is not equal to 4x. 19. ANS: Let p represent the maximum capacity of a lecture hall. 20. ANS: PROBLEM 21. ANS: To verify the solution, substitute into. Left side Right side = 18 Since the left side matches the right side, is correct. 8 P a g e
22. ANS: 6 5 4 3 2 1 0 1 2 3 4 5 6 x Unit 7 - Similarity & Transformations 1. ANS: B 2. ANS: A 3. ANS: C 4. ANS: A 5. ANS: A 6. ANS: A 7. ANS: C 8. ANS: A 9. ANS: B 10. ANS: D 11. ANS: C 12. ANS: D 13. ANS: A 14. ANS: C D D D 9 P a g e
The scale factor is 2. 19. ANS: b) c) 20. ANS: 0.007 21. ANS: x = 20.4 y = 31 Unit 8 - Circle Geometry 1. ANS: D 2. ANS: C 3. ANS: D 4. ANS: B 5. ANS: A 6. ANS: C 7. ANS: B 8. ANS: D 9. ANS: D 10. ANS: A 11. ANS: B 12. ANS: C 13. ANS: d = 24.1, e = 28 14. ANS: a = 3 a = 39, c = 51 y = 38, z = 52 10 P a g e
Unit 9 - Probability & Statistics 1. ANS: B 2. ANS: A 3. ANS: D 4. ANS: A 5. ANS: B 6. ANS: B 7. ANS: C 8. ANS: A 9. ANS: D 10. ANS: D 11. ANS: A 12. ANS: D 13. ANS: Answers will vary. For example: The ratio of males to females in the cafeteria is the same throughout the day. The ratio of males to females in the cafeteria is the same every day. 14. ANS: Answers will vary. For example: By including the phrase because it causes more accidents, the questioner reveals that he or she thinks driving while talking on a cellphone is dangerous and should probably be banned. Parents of pre-school children who live or work in the neighbourhood Not all people aged 15 to 25 attend high school, college, or university. No Yes 11 P a g e