INT2_SA_Ch5.pdf - Lesson 5.1.1 5-4 5-5 a x = 5 b x = \u20136 c x = 5 or \u20136 d x = \u2013 14 e x = 8 f x = \u2013 14 or 8 a See table at right y =(x 1)2 \u2212 2 =

# INT2_SA_Ch5.pdf - Lesson 5.1.1 5-4 5-5 a x = 5 b x =...

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Selected Answers © 2006 - 2016 CPM Educational Program. All rights reserved. 1 Lesson 5.1.1 5-4. a: x = 5 b: x = –6 c: x = 5 or –6 d: x = – 1 4 e: x = 8 f: x = – 1 4 or 8 5-5. a: See table at right. y = ( x + 1) 2 2 = x 2 + 2 x 1 b: Method 1: 5 2 + 2(5) 1 = 34 tiles; Method 2: The next term in the pattern is 34 because the terms of the sequence (2, 7, 14, 23) increase by consecutive odd numbers. Method 3: Figure 5 is a 6-by-6 square minus two corner squares, so (6) 2 – 2 = 34. 5-6. a: x = 10 b: x = 6 c: x = 20 ° d: x = 10 ° 5-7. Jackie squared the binomials incorrectly. It should be: x 2 + 8 x + 16 – 2 x – 5 = x 2 – 2 x + 1, 6 x + 11 = – 2 x + 1, 8 x = – 10, and x = –1.25. 5-8. a: Yes, AA ~. b: No, side ratios not equal 12 64 18 98 . c: Cannot tell, not enough angle values given. 5-9. LE = MS and LI = ES = MI 5-10. a: x = 4 or –4 b: x = 4 c: x = 4 or –4 d: x = 1 e: none f: none 5-11. a: See possible area model at right. b: 1 4 c: 1 9 + 1 6 + 1 6 + 1 4 = 25 36 69% 5-12. tan –1 3 4 ( ) 36.87º 5-13. Possible response: Translate WXYZ to the left so that point W coincides with point A , then rotate clockwise about W so that the corresponding angle sides coincide. Then dilate it by a factor of 0.4 from point W . y = 7.5, z = 9.6 5-14. m ABC = 22°, m BAC = 68°; acute; complementary 5-15. a: y = 5 2 x 8 b: y = 3 2 x + 1 Figure # # of tiles 1 2 2 7 3 14 4 23 parents niece boyfriend parents niece boyfriend
2 © 2006 - 2016 CPM Educational Program. All rights reserved. Core Connections Integrated II Lesson 5.1.2 5-20. This is a parabola. It is a continuous function. Vertex: (4, –9), x -intercepts: (1, 0) and (7, 0), y -intercept: (0, 7), opening upward, line of symmetry x = 4 5-21. a: 3, –7, 6, –2 b: …it does not change the value of the number. c: It tells us that a = 0. d: 0, 0, 0, 0 e: …the result is always zero. f: It tells us that at least one of the numbers must be zero. 5-22. 26.9 feet 5-23. a: Graph 1 b: Graph 2 5-24. a: A (–3, –3), B (9, –3), C (–3, –6) b: A (–3, 3), B (–3, –9), C (–6, 3) c: (9, 3) 5-25. 103.8 meters x y
Selected Answers © 2006 - 2016 CPM Educational Program. All rights reserved. 3 Lesson 5.1.3 5-32. a: Both are expressions equal to 0. One is a product and the other is a sum. b: i : x = –2 or x = 1 ii : x = 1 2 5-33. a: x = 2 or x = –8 b: x = 3 or x = 1 c: x = –10 or x = 2.5 d: x = 7 5-34. a: 4; Since the vertex lies on the line of symmetry, it must lie halfway between the x -intercepts. b: (4, –2) 5-35. a: 3 8 b: 1 8 c: 3 8 d: 1 8 ; The sum must be equal to 1. 5-36. a: 2.5% b: f ( t ) = 500(1.025) t where t represents time in months. c: \$579.85 d: (1.025) 12 1.3448, effective rate is about 34.5% annually. 5-37. x = 7º
4 © 2006 - 2016 CPM Educational Program. All rights reserved. Core Connections Integrated II Lesson 5.1.4 5-43. a: x -intercepts (3, 0), (– 5, 0), and (3, 0), y -intercept: (0, 16) b: x -intercepts (1, 0) and (2.5, 0), y -intercept: (0, –2.5) c: x -intercept (8, 0) and y -intercept (0, – 16). For part (b), y = –( x – 1)( x – 2.5) 5-44. a: x = 3 or 2 3 b: x = 2 or 5 c: x = –3 or 2 d: x = 1 2 or 1 2 e: x = –3 or 3 f: x = 1 5-45. a: x = 8 or –8 b: x = 7 or –9 c: x = 7 or –9 5-46. 61° 5-47. x = (180º – 28º) ÷ 2 = 76º because of the Triangle Angle Sum Theorem and because the base angles of an isosceles triangle are congruent; y = 76º because corresponding angles are congruent when lines are parallel; z = 180º – 76º = 104º because x and z form a straight angle 5-48. Using the Addition Rule, 0.11 = 18 200 + 12 200 P (long and lost), resulting in a probability of 4% that the food took too long and the rider got lost.
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