Chapters 1–3 Cumulative Review Exercises 207 15. g(x) = 13 - x 16. y = 7x + 2 Use the function to find the requested information. 17. Let f (x) = 9x + 18. Find f (0) and solve f (x) = 0. 18. The graph of h(x) is given. Find h(0) and solve h(x) = 5. 6 4 2 y –4 4 8 12 –2 x For Exercises 19–22, use the following information to answer each question. The average hours of daylight in Barrow, Alaska, for the first day of each month is given in the table. Let x be the month and y be the number of hours of daylight. (Source: http://www.absak.com/library/average-annual-insolation-alaska) Month Hours Month Hours Jan. 0.00 July 24.00 Feb. 4.08 Aug. 24.00 Mar. 9.33 Sept. 14.75 Apr. 14.22 Oct. 11.05 May 19.73 Nov. 5.87 June 24.00 Dec. 0.00 19. Are hours of daylight a function of the month, that is, is y a function of x? Why or why not? 20. What are the domain and range of the relation? 21. Write ordered pairs for each piece of data in the table and create a scatter plot. Let x = 1 represent January, x = 2 represent February, and so on. 22. What months have the largest average hours of daylight and how much do they have? What months have the lowest average hours of daylight and how much do they have? CUMULATIVE REVIEW EXERCISES / CHAPTERS 13 Determine the requested information about each set. (Section 1.1, Objective 1) 1. Use the roster method to write the set: B = {x | x is an integer between -2 and 5}. 2. Use the roster method to write the set: A = {x | x is a whole number less than 2p}. Classify each real number as natural, whole, integer, rational, or irrational. List each classification that applies. (Section 1.1, Objective 2) 3. π 4. 2!25 5. 24.66 6. !16 Graph each real number on a real number line. (Section 1.1, Objective 3) 7. 120 8. 4.3 Find the opposite of each number. Assume a and b represent positive real numbers. (Section 1.1, Objective 4) 9. 15a 10. -29b Simplify each absolute value expression. (Section 1.1, Objective 5) 11. -|-39| 12. |-61| Perform each indicated operation. (Section 1.2, Objectives 1 and 2) 13. 15.1 + (-18.2) 14. 26.4 + (-33.9) 15. 1 6 + a- 11 6 b 16. - 9 5 + a- 2 5 b 17. 48 ÷ a- 1 4 b 18. 10 0 19. (-13.5)(-9) 20. (-26)(5) Use the order of operations to simplify each expression. (Section 1.2, Objectives 3 and 4) 21. -9(-2)3 - 5(-2)2 + 1 22. 13 - (18 - 6) - (1 - 3) - 24 ÷ 12 · 2 23. 29 - 3127 - 2 2u2 - 3u2 24. -23 + 38 10 - (-8) 25. -4 + a- 7 5 b 26. 14 + (-14) 2 - (-2) Evaluate each expression for the given values. (Section 1.2, Objective 5) 27. 2x2 2 7x 1 3 for x 5 23 28. 2x3 1 4x 2 7 for x 5 1 29. b2 2 4ac for a 5 6, b 5 23, c 5 0 30. 15x 1 10y for x 5 0, y 5 4 Find both the additive inverse and multiplicative inverse of each number. (Section 1.3, Objective 1) 31. 17 32. –6 Apply the commutative, associative, and distributive properties to rewrite each given expression as an equivalent expression. (Section 1.3, Objective 2) 33. 24a - 18 34. (11 - x) + 2y 35. (38r)s 36. -4(5x - 2y + 6)
hendricks_intermediate_algebra_1e_ch1_3
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