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Test Bank for A Graphical Approach to College Algebra, 6th Edition

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    Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. For the set, list all elements that belong to the specified set. 1) ; Integers 1) _______ A) 14, B) 14 C) 0, - 9, 2 D) 14, - 9 2) ; Whole numbers 2) _______ A) 3 B) 3, - 13 C) 3, 0 D) 3, - 13, 0 3) ; Natural numbers 3) _______ A) 0, 5 B) 0 C) 5 D) - 20, 0 4) {7, , - 16, 0}; Real numbers A) 7, 0 B) 7 C) 7, - 16, 0 D) 7, , - 16, 0 4) _______ 5) {10, , - 11, 0, 0.33}; Rational numbers A) 10, 0 B) 10, - 11, 0, 0.33 C) , 0.33 D) 5) _______ 6) {9, , - 4, 0, 0.89}; Irrational numbers A) , 0, 0.89 B) C) , - 4 D) , 0.89 6) _______ For the measured quantity, state the set of numbers that is most appropriate to describe it. Choose from the natural numbers, integers, and rational numbers. 7) Number of students in various high schools A) Rational numbers B) Integers C) Natural numbers 7) _______ 8) Hat sizes A) Natural numbers B) Integers C) Rational numbers 8) _______ 9) Temperatures given in a weather forecast for Alaska A) Rational numbers B) Integers C) Natural numbers 9) _______

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    10) High temperatures during heat waves in California A) Integers B) Rational numbers C) Natural numbers 10) ______ 11) Net annual incomes of local manufacturers, in dollars A) Natural numbers B) Integers C) Rational numbers 11) ______ 12) The lengths of randomly cut pieces of string (measured using a ruler) A) Integers B) Rational numbers C) Natural numbers 12) ______ 13) The populations of armies of termites living in the walls of houses A) Integers B) Natural numbers C) Rational numbers 13) ______ 14) The lengths of randomly cut pieces of string (measured to the nearest inch) A) Natural numbers B) Rational numbers C) Integers 14) ______ 15) The average speeds of race cars for one lap at Wilmot Speedway A) Integers B) Natural numbers C) Rational numbers 15) ______ 16) The number of cars sold in an average month at Bob's Auto Sales A) Rational numbers B) Natural numbers C) Integers 16) ______ Graph the set of numbers on a number line. 17) {1, 3, 5, 7} 17) ______ A) B) C) D)

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    18) { - 7, - 5, - 3, - 1} 18) ______ A) B) C) D) 19) 19) ______ A) B) C) D) 20) { - 1.75, 1.25, 3.5, - 2.75} 20) ______ A) B) C) D)

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    21) 21) ______ A) B) C) D) 22) 22) ______ A) B) C) D) Locate the point on a rectangular coordinate system. Identify the quadrant , if any, in which the point lies. 23) (17, 18) A) I B) II C) IV D) III 23) ______ 24) (19, - 8) A) I B) III C) II D) IV 24) ______ 25) ( - 11, 15)

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    A) II B) III C) IV D) None 25) ______ 26) ( - 16, - 18) A) IV B) III C) I D) II 26) ______ 27) 27) ______ A) II B) III C) IV D) None 28) 28) ______ A) IV B) II C) I D) None 29) (0, 0) A) I B) IV C) II D) None 29) ______ Name the possible quadrants in which the point (x, y) can lie if the condition is true. 30) yx < 0 A) II or III B) II or IV C) III or IV D) I or II 30) ______ 31) 0 < xy A) II or IV B) I or III C) III or IV D) II or III 31) ______ 32) < 0 32) ______ A) II or IV B) II or III C) III or IV D) I or II Give the values of Xmin, Xmax, Ymin, and Ymax for the screen, given the values for Xscl and Yscl. 33) Xscl = 1, Yscl = 1 33) ______ A) [5, - 5] by [5, - 5] B) [ - 10, 10] by [ - 10, 10]

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    C) [10, - 10] by [10, - 10] D) [ - 5, 5] by [ - 5, 5] 34) Xscl = 2, Yscl; = 2 34) ______ A) [5, - 5] by [5, - 5] B) [10, - 10] by [10, - 10] C) [ - 5, 5] by [ - 5, 5] D) [ - 10, 10] by [ - 10, 10] 35) Xscl = 1, Yscl = 1 35) ______ A) [ - 15, 5] by [ - 15, 5] B) [5, - 15] by [5, - 15] C) [ - 5, 15] by [ - 5, 15] D) [15, - 5] by [15, - 5] 36) Xscl = 10, Yscl = 10 36) ______ A) [ - 30, 30] by [ - 40, 40] B) [ - 3, 3] by [ - 4, 4] C) [ - 4, 4] by [ - 3, 3] D) [ - 40, 40] by [ - 30, 30] 37) Xscl = 5, Yscl = 5 37) ______

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    A) [ - 10, 60] by [ - 10, 80] B) [ - 10, 80] by [ - 10, 60] C) [ - 2, 12] by [ - 2, 16] D) [ - 2, 16] by [ - 2, 12] 38) Xscl = 4, Yscl = 2 38) ______ A) [ - 10, 10] by [ - 20, 20] B) [ - 10, 10] by [ - 10, 10] C) [ - 5, 5] by [ - 5, 5] D) [ - 20, 20] by [ - 10, 10] 39) Xscl = 15, Yscl = 10 39) ______ A) [ - 20, 20] by [ - 10, 50] B) [ - 2, 2] by [ - 5, 1] C) [ - 50, 10] by [ - 30, 30] D) [ - 30, 30] by [ - 50, 10] 40) Xscl = 2, Yscl = .2 40) ______ A) [ - 1, 1] by [ - 10, 10] B) [ - 10, 10] by [ - 1, 1] C) [ - 5, 5] by [ - 5, 5] D) [ - 10, 10] by [ - 10, 10] 41)

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    Xscl = 7, Yscl = 8 41) ______ A) [ - 2, 3] by [ - 4, 5] B) [ - 28, 35] by [ - 16, 24] C) [ - 4, 5] by [ - 2, 3] D) [ - 16, 24] by [ - 28, 35] 42) Xscl = .3, Yscl = .5 42) ______ A) [ - 4, 4] by [ - 5, 5] B) [ - 5, 5] by [ - 4, 4] C) [ - 1.5, 1.5] by [ - 2, 2] D) [ - 15, 15] by [ - 20, 20] Find a decimal approximation of the root or power. Round the answer to the nearest thousandth. 43) A) 2.241 B) 2.233 C) 5.000 D) 2.236 43) ______ 44) A) 8.485 B) 8.490 C) 72.000 D) 8.482 44) ______ 45) A) 31.350 B) 31.358 C) 31.353 D) 983.000 45) ______ 46) A) 84.048 B) 7064.000 C) 84.053 D) 84.045 46) ______ 47) A) 11.000 B) 11.720 C) 11.692 D) 11.705 47) ______ 48) A) 3.072 B) - 29 C) 24,389 D) 841 48) ______ 49)

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    A) - 27.875 B) 5.28 C) - 5.28 D) 27.875 49) ______ 50) 10 1/ 5 50) ______ A) 2 B) 50.000 C) - 50.000 D) 1.585 51) A) 6.663 B) 5.963 C) 8.263 D) 4.963 51) ______ Approximate the expression to the nearest thousandth. 52) A) 12.649 B) 11.662 C) 12.686 D) 9.191 52) ______ 53) A) - 95.409 B) - 97.42 C) 97.421 D) 95.409 53) ______ 54) 54) ______ A) - 0.128 B) - 0.174 C) - 0.117 D) - 0.109 55) 6.3( ) - 2(4.1) + 6 A) 34.388 B) 46.388 C) 40.388 D) - 32.612 55) ______ Find the length of the unknown side of the right triangle. In each case, a and b represent the lengths of the legs and c represents the length of the hypotenuse. 56) a = 40, b = 75; find c A) 5 B) 7225 C) 4025 D) 85 56) ______ 57) a = 40, c = 85; find b A) 5 B) 75 C) 8825 D) 7225 57) ______ 58) a = , b = ; find c A) B) 5 C) 25 D) 397

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    58) ______ 59) b = 9, c = 15; find a A) 11 B) 12 C) 14 D) 15 59) ______ Find the distance between P and Q and the coordinates of the midpoint of the segment joining P and Q. 60) 60) ______ A) 4 ; B) 8; C) 4 ; D) 8; 61) 61) ______ A) 2 ; B) 2 ; C) 6; D) 6; 62)

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    62) ______ A) ; B) ; C) ; D) ; 63) 63) ______ A) ; B) 5i ; C) ; D) ; 64) P(5, 4), Q(8, 7) A) 6; B) 3 ; C) 6; D) 3 ; 64) ______ 65) P( - 9, 9), Q(1, - 7) A) 2 ; B) 6; C) 6; D) 2 ; 65) ______ Suppose that P is the endpoint of a segment PQ and M is the midpoint of PQ. Find the coordinates of endpoint Q. 66) P(3, 2), M 66) ______

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    A) Q B) Q C) Q D) Q(9, 5) 67) P( - 3, - 6), M A) Q B) Q C) Q D) Q(7, 2) 67) ______ Solve the problem. 68) The graph shows the Total Gross Revenue (in millions of dollars) of Top 100 Internet Companies in the United States between 2000 and 2004. Use the midpoint formula to estimate the revenue for 2002. Total Gross Revenue of Top 100 Internet Companies a = 5000 million dollars; b = 15,400 million dollars 68) ______ A) 10,400 million dollars B) 42,000 million dollars C) 10,200 million dollars D) 17,500 million dollars 69) The graph shows an idealized linear relationship for the average monthly payments (in dollars) to retirees from 2000 through 2004. Use the midpoint formula to estimate the payment for 2002. Average Monthly Payments to Retirees

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    a = $452; b = $480 69) ______ A) $480 B) $500 C) $14 D) $466 70) The table lists how financial aid income cutoffs (in dollars) for a family of four have changed over time. Use the midpoint formula to approximate the financial aid cutoff for 1985. 70) ______ A) $21,250 B) $58,750 C) $36,875 D) $18,125 71) An isosceles triangle has at least two sides of equal length. Determine whether the triangle with vertices and is isosceles. 71) ______ A) Yes B) No 72) An isosceles triangle has at least two sides of equal length. Determine whether the triangle with vertices and is isosceles. 72) ______ A) Yes B) No Provide an appropriate response. 73) Is a rational or irrational number? A) Irrational B) Rational 73) ______ C) Both rational and irrational D) Neither 74) Are both 9 and - 2 natural numbers, integers, or irrational numbers? A) Natural numbers B) Integers 74) ______

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    C) Irrational numbers D) None of the above 75) Are both 7 and natural numbers, integers, or irrational numbers? A) Integers B) Irrational numbers 75) ______ C) Natural numbers D) None of the above 76) Are both and natural numbers, integers, or irrational numbers? A) Natural numbers B) Irrational numbers 76) ______ C) Integers D) None of the above 77) In what quadrant of the xy - plane does P(8, 1) lie? A) III B) II C) I D) IV 77) ______ 78) In what quadrant of the xy - plane does P(8, 2) lie? A) III B) I C) IV D) II 78) ______ 79) In what quadrant of the coordinate system would you plot P( - 9, 5) ? A) III B) IV C) II D) I 79) ______ Sketch the graph of f. 80) f(x) = - 2x + 3 80) ______ A)

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    B) C) D)

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