Chapter P: Review Exercises Exercises 73-74 In Exercises 73-74, perform the indicated operations. Write the Exercises 1-7 resulting polynomial in standard form and indicate its degree. In Exercises 1-2, evaluate each algebraic expression for the given 73. (-ar' + 7x - 9x + 3) + (14r) + 3p - 11x - 7) value or values of the variable(s). 74. (13x4 - Br) + 2x]) - (5x* - 3x3 + 2x] - 6) 1. 3 + 6(x - 2)' for x = 4 2 x - 5(x - y) for x = 6 and y = 2 Exercises 84-85 3. You are riding along an expressway traveling & miles per In Exercises 84 88, find each product. hour. The formula 84. (x + 7y)(3x - 5y) 85. (3x - 5y) 5 = 0.015r + x + 10 models the recommended safe distance, 3, in feet, between Exercises 89-90, 93-96 your car and other cars on the expressway. What is the In Exercises 89-105, factor completely, or state that the recommended safe distance when your speed is 60 miles per polynomial is prime hour? 89. 15x3 + 3x2 90. x - 1lr + 28 In Exercises 4 7 ler A = (a, b. c). B = [a, c. d, el. and 93. x3 + 16 94. 3r - 9r - 30r C = [a. d, f. g)- Find the indicated set. 95. 207 - 361 96. x3 - 1x - 9x + 27 4. AnB 5. AUB 6. AUC 7. COA Exercises 109-110 In Exercises 109-111, simplify each rational expression. Also, list Exercises 19-22 all members that must be excluded from the domain. In Exercises 19-22, simplify each algebraic expression. 109. x' + 21 110. * + 3x - 18 19. 5(2r - 3) + 7x x+2 1 - 36 20. 4(5x) + [(3y) + (-3y)] - (-x) Exercises 112-113 21. 3(4y - 5) - (7y + 2) 21. 8 - 213 - (5x - 1)] In Exercises 112-114, multiply or divide as indicated. 112. & + 6r + 9 x+ 3 113. fox + 2 31 + x Exercises 24-27 1 - 4 x - 2 x- - 1 *-1 Evaluate each exponential expression in Exercises 24-27 24. (-3)(-2) 25. 24+ 41 26. 53.5 27. 3 Exercises 41-44 Use the product rule to simplify the expressions in Exercises 41-44. In Exercises 43-44, assume that variables represent nonnegative real numbers. 41. V 300 42. V 1212 43. V 10x - V Zx 44. VP