# Download A Problem Book in Algebra by V. A. Krechmar PDF

By V. A. Krechmar

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If one E. 7 * 1021 bacteria. What is the weight, in grams, of these bacteria? INTEGER AND RATIONAL NUMBER EXPONENTS 31 137. Oceanography The percent P of light that will pass to a depth d, in meters, at a certain place in the ocean is given by P = 102 - (d>40). Find, to the nearest percent, the amount of light that will pass to a depth of a. 10 meters and b. 25 meters below the surface of the ocean. 138. Learning Theory In a psychology experiment, students were 131. given a nine-digit number to memorize.

3x 2>3)(4x1>4) 68. ( -5x1>3)(- 4x1>2) 69. (81x8y12)1>4 70. (27x 3y6)2>3 4 9 1 8 3 (- 3a2b 3)2 38. a 55. 43>2 -2 71. 16z3>5 12z1>5 72. 6a 2>3 9a1>3 30 CHAPTER P PRELIMINARY CONCEPTS 73. (2x 2>3y1>2)(3x1>6y1>3) 75. 9a3>4b 74. 76. 3a2>3b2 In Exercises 105 to 126, simplify each expression by rationalizing the denominator. Write the result in simplest form. Assume x>0 and y>0. x1>3y5>6 x 2>3 1>6 y 12x1>6y1>4 105. 16x3>4y1>2 In Exercises 77 to 86, simplify each radical expression. 77. 145 107. 78.

V = 55 mph 55. (3x + 5)(3x - 5) 56. (4x - 3y)(4x + 3y) 57. (3x - y) 58. (6x + 7y) below) is given by pr 2h, where r is the radius of the base and h is the height of the cylinder. Find the volume when 59. (4w + z)2 60. (3x - 5y2)2 a. r = 3 inches, 2 2 2 2 2 61. 3(x + 5) + y4 3(x + 5) - y4 62. 3(x - 2y) + 74 3(x - 2y) - 74 In Exercises 63 to 68, perform the indicated operation or operations and simplify. 63. (4d - 1)2 - (2d - 3)2 64. (5c - 8)2 - (2c - 5)2 79. Geometry The volume of a right circular cylinder (as shown r h = 8 inches h b.