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3 3 18. (2x ) ANSWER: Study Guide and Review - Chapter 7 4x 2 Simplify each expression. 3 11. x ⋅ x ⋅ x 9 19. GEOMETRY Use the formula V = πr h to find the volume of the cylinder. 5 ANSWER: x 9 2 5 12. (2xy)( −3x y ) ANSWER: ANSWER: 45πx 3 6 −6x y 4 4 Simplify each expression. Assume that no denominator equals zero. 5 2 13. (−4ab )(−5a b ) ANSWER: 20. 6 6 20a b ANSWER: 3 2 2 14. (6x y ) ANSWER: 6 4 36x y 3 3 2 21. 15. [(2r t) ] ANSWER: ANSWER: 18 6 64r t 3 16. (−2u )(5u) ANSWER: −10u 4 2 3 22. 3 3 17. (2x ) (x ) ANSWER: 4y ANSWER: 8x 15 −3 0 6 23. a b c ANSWER: 3 3 18. (2x ) ANSWER: 4x 9 2 24. 19. GEOMETRY Use the formula V = πr h to find the volume of the cylinder. ANSWER: 25. ANSWER: eSolutions Manual - Powered by Cognero 45πx 4 Page 1 ANSWER: 6 ANSWER: 31. ANSWER: 5 Study Guide and Review - Chapter 7 25. 32. ANSWER: ANSWER: x 6 33. 26. ANSWER: 64 ANSWER: 1 34. ANSWER: 4 27. ANSWER: 35. ANSWER: 2401 2 4 28. GEOMETRY The area of a rectangle is 25x y square feet. The width of the rectangle is 5xy feet. What is the length of the rectangle? 36. ANSWER: ANSWER: 3 5xy ft Simplify. Solve each equation. x 37. 6 = 7776 ANSWER: 5 29. 4x – 1 ANSWER: 7 38. 4 ANSWER: 3 Graph each function. Find the y-intercept, and state the domain and range. x 42. y = 2 = 32 ANSWER: 30. 31. ANSWER: 5 ANSWER: 1; D = all real numbers; R = {y| y > 0} 32. ANSWER: eSolutions Manual - Powered by Cognero Page 2 4x – 1 38. 4 = 32 ANSWER: Study Guide and Review - Chapter 7 Graph each function. Find the y-intercept, and state the domain and range. x 42. y = 2 ANSWER: 1; D = all real numbers; R = {y| y > 0} x 43. y = 3 + 1 ANSWER: 2; D = all real numbers; R = {y| y >1} x 45. y = 2 − 3 ANSWER: −2; D = all real numbers; R = {y| y > −3} 46. BIOLOGY The population of bacteria in a petri dish increases according to the model p = 550(2.7) 0.008t , where t is the number of hours and t = 0 corresponds to 1:00 P.M. Use this model to estimate the number of bacteria in the dish at 5:00 P.M. ANSWER: about 568 47. Find the final value of $2500 invested at an interest rate of 2% compounded monthly for 10 years. ANSWER: $3053.00 x 44. y = 4 + 2 ANSWER: 3; D = all real numbers; R = {y| y > 2} 48. COMPUTERS Zita’s computer is depreciating at a rate of 3% per year. She bought the computer for $1200. a. Write an equation to represent this situation. b. What will the computer’s value be after 5 years? ANSWER: t a. 1200(1 − 0.03) b. $1030.48 x 45. y = 2 − 3 eSolutions Manual - Powered by Cognero ANSWER: −2; D = all real numbers; R = {y| y > −3} Page 3