Chapter 1 Test 49 CHAPTER 1 TEST / REAL NUMBERS AND ALGEBRAIC EXPRESSIONS 1. Let A = 52, 4, 8, 16, 32, 646 and B = 54, 16, 64, 2566 . The number that is not an element of A B is a. 4 b. 8 c. 16 d. 64 2. The number that is not a natural number is a. (-2)2 b. 125 c. 9 - 3 4 - 2 d. 3 - 4(2) 3. Provide an example of a rational number that is also an integer. 4. Simplify each number and then classify it as a natural number, whole number, integer, rational, or irrational number. Then state the opposite and absolute value of each number. a. 162 + 82 b. 4π 2 c. 4 + 5(-2) 32 d. 0 -4 5. The following table shows the top 10 professional golfers for 2009. (Source: http://sports.espn.go.com/golf/ statistics?tour=pga) Rank Player Age Earnings 1 Tiger Woods 34 $10,508,163.00 2 Steve Stricker 43 $ 6,332,636.00 3 Phil Mickelson 39 $ 5,332,754.50 4 Zach Johnson 34 $ 4,714,812.50 5 Kenny Perry 49 $ 4,445,562.00 6 Sean O'Hair 27 $ 4,316,493.00 7 Jim Furyk 39 $ 3,946,515.00 8 Geoff Ogilvy 32 $ 3,866,270.00 9 Lucas Glover 30 $ 3,693,353.30 10 Y.E. Yang 38 $ 3,489,515.80 a. Let A = 5xux is a player younger than 356 . Write set A using the roster method. b. Let B = 5xux is a player earning $4 million or more6. Write set B using the roster method. c. Find A B. What conditions do these players satisfy? 6. Simplify each expression. a. -a- 7 2 b b. -(2 - 5) c. u-64u d. -u-9u e. (-3)4 f. -34 7. Perform the indicated operation. Write answers in lowest terms, if appropriate. a. 12 25 · - 5 3 b. 32 ÷ 1 4 c. - 5 9 + a- 4 9 b d. 1 4 - 2 7 e. 7 15 + a- 1 2 ba2 5 b ÷ 3 f. (-4) + (-5)(2) g. (9 - 12) - (7 - 9) h. (-2)3 - 4 ÷ 2 · 6 i. #1 - (-4)2 + (-4 - 8)2 j. 6 - 3(-2) 4 - 22 k. 1 + 4(5 - 6) - 12 ÷ 2 + 5 · 2 8. Identify the property that is illustrated. a. 5(6 + 2) = (6 + 2)5 b. 4 · 1 4 = 1 c. 3 + (4 + 7) = (3 + 4) + 7 d. 1 5 + a- 1 5 b = 0 e. 3 · 6 7 · 7 6 = 3 f. -9 + 0=-9 g. 4 + (-3) = (-3) + 4 h. 3(x + 2) = 3x + 6 9. Evaluate the expression 4x2 - 2x + 1 for x=-3. 10. Simplify each expression. a. 4(3x + 7) b. 8(6x - 5) c. -6a1 3 x + 1 2 b d. x + 2 + 5x - 4 e. 2(5x - 3) - (7x - 9) f. 2x2 - 8x + 1 + x2 - x - 3 g. x + 3 2 x h. 5 + 4(3x + 2) 11. Translate each phrase or sentence into an algebraic expression, equation, or inequality. Use the variable x to represent the unknown number. a. Two more than a number b. The difference of a number and 5 c. The sum of three times a number and 4
hendricks_intermediate_algebra_1e_ch1_3
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