By Cynthia Young

The 3rd variation of Cynthia Young’s Algebra & Trigonometry brings jointly all of the components that experience allowed teachers and newbies to effectively “bridge the gap” among lecture room guideline and autonomous homework by means of overcoming universal studying limitations and construction self belief in students’ skill to do arithmetic. Written in a transparent, unmarried voice that speaks to scholars and mirrors how teachers converse in lecture, Young’s hallmark pedagogy allows scholars to develop into self reliant, profitable newbies. different workout varieties and modeling tasks hold the educational clean and motivating. during this variation, younger maintains her culture of fostering a love for succeeding in arithmetic through introducing inquiry-based studying initiatives, offering inexperienced persons a chance to grasp the cloth with extra freedom whereas reinforcing mathematical talents and instinct.

The seamless integration of Cynthia Young’s Algebra & Trigonometry third version with WileyPLUS, a research-based, on-line atmosphere for powerful instructing and studying, maintains Young’s imaginative and prescient of creating pupil self belief in arithmetic since it takes the guesswork out of learning through supplying them with a transparent roadmap: what to do, easy methods to do it, and whether or not they did it correct.

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**Additional resources for Algebra and Trigonometry (3rd Edition)**

**Example text**

4y (- 3y) 15 4 54. 6x 7x 12 20 55. 3 7 + 40 24 56. -3 -7 - a b 10 12 60. 4 7 , 5 10 In Exercises 57–68, perform the indicated operation and simplify, if possible. 57. 2 # 14 7 3 61. 4b a , 9 27 65. 3x 9 , 4 16y a Z 0 y Z 0 58. 2# 9 3 10 62. 3a b , 7 21 66. 14m # 4 2 7 b Z 0 59. 2 10 , 7 3 63. 3x 6x , 10 15 x Z 0 64. 4 1 1 , 7 5 20 67. 3y 6x , 7 28 y Z 0 68. 2 1# 5 7 3 6 In Exercises 69–72, evaluate the algebraic expression for the speciﬁed values. 69. 71. ■ -c 2d for c ϭ Ϫ4, d ϭ 3 m1 # m2 r 2 for m1 ϭ 3, m2 ϭ 4, r ϭ 10 70.

2 2 3 3(x y) 2 32. (4x2 y)(2xy3) 36. 3 39. (9aϪ2 b3 ) x-3 y2 3 12(x-2 y) 49. s 2 c -2 38. a b 3 a-2 b3 a4 b5 3 b - 3(- x3 y2) 3 t y2(- b2 x5) 47. (x y ) 2 5 5 [-2(x3) y-4] 51. Write 28 # 163 # (64) as a power of 2 : 2? 48. Ϫ2x2(Ϫ2x3) 52. Write 39 # 815 # (9) as a power of 3 : 3? In Exercises 53–60, express the given number in scientiﬁc notation. 53. 27,600,000 54. 144,000,000,000 55. 93,000,000 56. 1,234,500,000 57. 0000000567 58. 00000828 59. 000000123 60. 000000005 63. 3 ϫ 104 64. 8 ϫ 10Ϫ3 In Exercises 61–66, write the number as a decimal.

5 ϩ 7 Ϫ (Ϫ2) b. Ϫ(Ϫ3)(Ϫ4)(Ϫ6) Technology Tip a. Solution: a. Distribute the negative. qxd ϩ2 ϭ Ϫ5 ϩ 7 ϩ 2 Combine the three quantities. b. Group the terms. ϭ 4 [Ϫ(Ϫ3)][(Ϫ4)(Ϫ6)] Perform the multiplication inside the [ ]. ϭ [3][24] Multiply. ϭ 72 b. Here are the calculator keystrokes for Ϫ(Ϫ3)(Ϫ4)(Ϫ6). qxd 12 8/7/12 5:34 PM Page 12 C H A P T E R 0 Prerequisites and Review We use properties of negatives to deﬁne the absolute value of any real number. The absolute value of a real number a, denoted ƒ aƒ, is its magnitude.