(Test Bank) College Algebra And Calculus An Applied Approach

Larson,Hodgkins, 2

Math & Statistics

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2nd Edition

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Test Bank for College Algebra And Calculus An Applied Approach, The downloadable file consists of 763 pages, and the total size of the file is 3.38 MB. Purchase now only for highly discounted price.

Author(s): Larson, Hodgkins

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Chapter 0: Fundamental Concepts of Algebra Larson, College Algebra and Calculus: An Applied Approach, 2e Page 1 1. Determine which numbers in the set are integers. 0.77, 4, – 8 , 0, 6.0, – 8 π A) 4, 0, 6.0, – 8 B) 0.77, 4, 0, 6.0, – 8 C) 4, 0 D) 4 , –8 , 0 , –8 π E) 4 , 0 , –8 Ans: A 2. Determine which numbers in the set are natural numbers. –13, 6, 11, 49, 0, – 9, 65 A) 6, 11, 49, 0, 65 B) 6, 11, 49 C) 6, 11, 0 D) 6, 11 E) –13, 6, 11, 0, – 9 Ans: B 3. Determine which numbers in the set are rational numbers. 27–1.5252..., 16, , 5, , 4.070070007..., 8132π A) 7–1.5252..., 16, , 4.070070007...2 B) 7–1.5252..., 16, , 4.070070007..., 812 C) 716, 5, , 812 D) 7–1.5252..., 16, , 812 E) 27–1.5252..., 16, , 32π Ans: D Larson, College Algebra and Calculus: An Applied Approach, 2e Page 2 4. Determine which numbers in the set are irrational numbers. 5 141.222..., , 0, – , 64, 9.090990999..., 523ππ A) 5 14, – , 6 4, 523ππ B) 5 14, 0, – , 64, 523ππ C) 5 14, – , 9.090990999..., 523ππ D) 5 141.222..., , – , 64, 9.090990999..., 523ππ E) 5 14, – , 523ππ Ans: C 5. Approximate the numbers and place the correct symbol (< or >) between them. A) –3 < 3.75 B) –3 < –3.25 C) –3 < 3.25 D) –3 > 3.25 E) –3 > 3.75 Ans: C 6. Approximate the numbers and place the correct symbol (< or >) between them. A) 12 –42< B) 1–2 –42> C) 1242> D) 11 –42> E) 1242< Ans: E Larson, College Algebra and Calculus: An Applied Approach, 2e Page 3 7. Plot the two real numbers on the real number line. Then place the appropriate inequality symbol (< or >) between them. 2, –3 A) 2 < –3 B) 2 > –3 Ans: B 8. Plot the two real numbers on the real number line. Then place the appropriate inequality symbol (< or >) between them. 71– , 10 17 A) 71–10 17< B) 71–10 17> Ans: A 9. Which graph represents the inequality? –2 < x ≤ 5 A) [ ) –2 5 B) [ ] –2 5 C) ] ( –2 5 D) ) ( –2 5 E) ] [ –2 5 Ans: C Larson, College Algebra and Calculus: An Applied Approach, 2e Page 4 10. Give a verbal description of the subset of real numbers represented by the inequality. 1 < x ≤ 8 A) all real numbers less than 1 and greater than 8 B) all real numbers between 1 and 8 not including 1 or 8 C) all real numbers between 1 and 8, including 1 but not including 8 D) all real numbers between 1 and 8, including 8 but not including 1 E) all real numbers between 1 and 8, including 1 and 8 Ans: D 11. Use inequality notation to describe the set. n is positive A) n ≤ ∞ B) n < ∞ C) n ≤ 0 D) n ≥ 0 E) n > 0 Ans: E 12. Use inequality notation to describe the set. m is at least –8 but less than 15 A) 15 ≤ m < –8 B) 15 < m ≤ –8 C) –8 ≤ m < 15 D) –8 ≤ m ≤ 15 E) –8 < m < 15 Ans: C 13. Evaluate the expression. 3 – 7 A) 4 B) –4 C) 10 D) –10 E) 21 Ans: A Larson, College Algebra and Calculus: An Applied Approach, 2e Page 5 14. Write the following expression without absolute value symbols. 63− A) 9 B) –9 C) 3 D) 0 E) –3 Ans: C 15. Place the correct symbol (<, >, or =) between the pair of real numbers. 3− –3− A) 3 –3− <− B) 3 –3− >− C) 3 –3−= − Ans: C 16. Place the correct symbol (<, >, or =) between the pair of real numbers. ()–3− –3 A) ()–3 –3−< B) ()–3 –3−> C) ()–3 –3−= Ans: B 17. Use absolute value notation to describe the situation. The distance between u and –4 is no less than 6. A) – 4u ≥ 6 B) – 4u ≤ 6 C) – 4u < 6 D) + 4u > 6 E) + 4u ≥ 6 Ans: E Larson, College Algebra and Calculus: An Applied Approach, 2e Page 6 18. Use absolute value notation to describe the situation. w is more than two units from –7. A) + 7w > 2 B) + 7w ≤ 2 C) + 7w < 2 D) – 7w > 2 E) – 7w ≥ 2 Ans: A 19. The lowest recorded January temperature for a city is –15 F and the highest recorded temperature is 68 .F Find the distance between the numbers to determine the range of temperatures for January. A) –30 F B) –83F C) –53F D) –15 F E) 83F Ans: E 20. The quality control inspector for a tire factory is testing the rim diameter of various tires. A tire is rejected if its rim diameter varies too much from its expected measure. The di ameter should not differ by more than 0.1 inch or by more than 0.1% of the expected diameter measure. Find the widest range of allowable values for the actual diameter if the expected diameter is 14.000 inches. Round to the nearest thousandth. A) between 13.900 inches and 14.014 inches B) between 13.986 inches and 14.100 inches C) between 13.986 inches and 14.014 inches D) between 13.900 inches and 14.000 inches E) between 13.900 inches and 14.100 inches Ans: E 21. Identify the terms of the algebraic expression below. 26 –6 +5xx A) 6, –6, and 5 B) 26x and –6x C) 26x and 5 D) –6x and 5 E) 26,x –6 ,x and 5 Ans: E Larson, College Algebra and Calculus: An Applied Approach, 2e Page 7 22. Evaluate the expression for the given value of x. 4–x x = –2 A) 8 B) 1 16 C) 1–16 D) –16 E) 16 Ans: D 23. Evaluate the expression for the given value of x. expression: 26 – 2 + 5xx value: x = –3 A) –25 B) 65 C) –43 D) 61 E) –29 Ans: B 24. Evaluate the expression for the given value of x. expression: 4 4x x+ − value: x = –4 A) 1 4− B) 1 4 C) 0 D) not possible since numerator is 0 E) not possible since denominator is 0 Ans: C 25. Evaluate 323rs when 2r= and 3.s= A) 216 B) 18 C) 324 D) 5832 E) 72 Ans: A Larson, College Algebra and Calculus: An Applied Approach, 2e Page 8 26. Evaluate 22pq pq+ +when –12p= and 9.q= A) –3 B) 9 C) 441 D) –75 E) –147 Ans: D 27. Identify the rule of algebra illustrated by the statement. –9r – 3r = (–9 – 3)r A) associative property of addition B) commutative property of addition C) associative property of multiplication D) commutative property of multiplication E) distributive property Ans: E 28. Identify the rules of algebra illustrated from left to right by the following statement. (n + 6) – 6 = n + (6 – 6) = n + 0 = n A) commutative property of addition; additive inverse property; additive identity property B) associative property of addition; additive inverse property; additive identity property C) commutative property of addition; additive identity property; additive inverse property D) associative property of addition; additive identity property; additi ve inverse property E) distributive property; additive identity property; additive inverse property Ans: B 29. Identify the rules of algebra illustrated from left to right by the following statement. ()113 3133t t tt= ⋅ =⋅= A) associative property of multiplication; multiplicative inverse property; multiplicative identity property B) commutative property of multiplication; multip licative inverse property; multiplicative identity property C) associative property of multiplication; multiplicative identity property; multiplicative inverse property D) commutative property of multiplication; multiplicative identity property; multiplicative inverse property E) distributive property; multiplicative identity property; multiplicative inverse property Ans: A Larson, College Algebra and Calculus: An Applied Approach, 2e Page 9 30. The percent of people in a research study that have a particular health risk is 44.5%. The total number of people in the study is 14,677. How many people have the health risk? A) 1614 people B) 14,677 people C) 21,208 people D) 6531 people E) 8146 people Ans: D 31. Evaluate the expression. –4 –65 5 A) 2 3 B) 1 25− C) 1 25 D) 25 E) –25 Ans: D 32. Evaluate the expression. ()323− A) 3 B) –18 C) –729 D) 1 729− E) 1 729 Ans: E Larson, College Algebra and Calculus: An Applied Approach, 2e Page 10 33. Evaluate the expression. –1 –22 + 3 A) 2 11 B) 11 18 C) 2–11 D) 11–18 E) –8 Ans: B 34. Evaluate the expression for the given value of x. 33x x = –2 A) –18 B) 1 24 C) 1–24 D) –24 E) 24 Ans: D 35. Evaluate the expression for the given value of x. –38x x = 5 A) 8 125 B) 8–125 C) 1–120 D) 120 E) –120 Ans: A Larson, College Algebra and Calculus: An Applied Approach, 2e Page 11 36. Evaluate the expression for the given value of x. 0–4x x = 5 A) 0 B) –4 C) 4 D) 20 E) –20 Ans: B 37. Simplify the expression. ()36864zz A) 1772z B) 17384z C) 30384z D) 3024z E) 3072z Ans: C 38. Simplify the expression. 2342 vv     A) 548 v B) 5128 v C) 6128 v D) 648 v E) 624 v Ans: B Larson, College Algebra and Calculus: An Applied Approach, 2e Page 12 39. Write the rational expression in simplest form. 4 5120 15v v A) 4 58,0v v v≠ B) 40,05v v≠ C) 24,03 vv≠ D) 8,0 vv≠ E) 40,05 vv≠ Ans: D 40. Simplify the expression below. 233nn⋅ A) 223n B) 39n C) 27n D) 36n E) 29n Ans: C 41. Rewrite the expression with positive exponents and simplify. ()( )4 –1–3 –23 –3pp A) 101 15p B) 1015 p C) 1036 p D) 1027– p E) 101– 27p Ans: D Larson, College Algebra and Calculus: An Applied Approach, 2e Page 13 42. Rewrite the expression below with positive exponents and simplify. 324 2xy−−  A) 6 12 8xy B) 12 68y x C) 6 128x y D) 6 128x y E) 12 68y x Ans: C 43. Write the following number in scientific notation. 22,100,000 A) 52.21 10× B) 62.21 10× C) 72.21 10× D) –72.21 10× E) –52.21 10× Ans: C 44. Write the number in scientific notation. One minute is about 0.000099 week. A) 0.99 × 10–4 B) 99 × 10–6 C) 9.9 × 10–5 D) 9.9 × 10–6 E) 0.000099 × 10–5 Ans: C 45. Change the following number from scientific notation to decimal notation. –32.61 10× A) 0.261 B) 0.00261 C) 2.61 D) 26.1 E) 0.0261 Ans: B Larson, College Algebra and Calculus: An Applied Approach, 2e Page 14 46. Write the number in decimal notation. One bushel equals approximately 3.524 × 101 liters. A) 35.24 B) 3524 C) 352.4 D) –35.24 E) 3.524 Ans: A 47. Perform the indicated operation below and write the answer in scientific notation. ( )( ) ( )18 11 –124.9 10 6.8 10 3.4 10×× × A) –59.8 10× B) 179.8 10× C) 59.8 10× D) 199.8 10× E) 419.8 10× Ans: E 48. Use a calculator to evaluate the expression. Write your answer in scientific notation. (Round values to three decimal places.) 8, 200,000 9,600,000 0.077+ A) 1.329 × 108 B) 1.329 × 109 C) 2.312 × 107 D) 2.312 × 109 E) 2.312 × 108 Ans: E 49. Write each number in the expression below in scientific notation. Perform the operation and write your answer in scientific notation. 242,000,000 440 A) 85.5 10× B) 75.5 10× C) 455 10× D) 55.5 10× E) 45.5 10× Ans: D Larson, College Algebra and Calculus: An Applied Approach, 2e Page 15 50. The average yearly cost of tuition, fees, and room and board at private four -year colleges in the United States was $20,805 for the academic year 1998/1999 and $24,817 for the academi c year 2002/2003. Find the average yearly rate of inflation over this five-year period. Round to the nearest hundredth of a percent. A) 3.47% B) 3.77% C) 3.59% D) 3.68% E) 4.03% Ans: C 51. The compound interest formula can be rewritten as ( ). 1/ntAP rn= + Find the principal amount P that could have been invested on the day you were born at 4.5% annual interest compounded monthly to make you a millionaire on your 21st birthday. A) $243,354.47 B) $389,367.15 C) $292,025.36 D) $194,683.58 E) $316,360.81 Ans: B 52. In 1967, the movie Imitation of Christ was released and its running time was 480 minutes long. Assuming that this film's speed was 24 frames per second, approximate the total number of frames in the film. Express the answer in scientific notation rounding to two places after the decimal.. A) 1.15610× B) 3.22610× C) 6.91510× D) 2.88410× E) 1.92510× Ans: C