Test Bank for College Algebra Enhanced with Graphing Utilities , 7th Edition

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Test Bank for College Algebra Enhanced with Graphing Utilities , 7th Edition - Page 1 preview image

TESTITEMFILE(DOWNLOADONLY)COLLEGEALGEBRAEnhanced with Graphing UtilitiesSEVENTH EDITIONMICHAELSULLIVANChicago State University

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Ch. 0Chapter R: Review0.1Real Numbers1Work with SetsMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.Use U=universal set={0, 1, 2, 3, 4, 5, 6, 7, 8, 9}, A={1, 2, 3, 5, 8}, B={2, 3, 5, 7}, and C={1, 4, 9} to find the set.1) B∪CA) {1, 2, 3, 4, 5, 7, 9}B) { }C) {0}D) {1, 2, 3, 5, 7, 9}2) A∪CA) {1, 2, 3, 4, 5, 8, 9}B) {4, 6, 7, 9}C) {1}D) {1, 2, 3, 5, 7, 9}3) A∩BA) {2, 3, 5}B) {1, 2, 3, 5, 7, 8}C) {2, 3, 5, 7}D) {1, 2, 3, 5, 8}4) A∩CA) {1}B) {1, 2, 3, 4, 5, 7, 8, 9}C) {4, 6, 7, 9}D) {1, 2, 3, 5, 7, 9}5) (A∩B)∪CA) {1, 2, 3, 4, 5, 9}B) {1, 2, 3, 5}C) {1, 2, 3}D) {2, 3, 5}6) (B∪C)∩AA) {1, 2, 3, 5}B) {1, 2, 3, 4, 5, 7, 9}C) { }D) {1, 2, 3}7) BA) {0, 1, 4, 6, 8, 9}B) {1, 4, 6, 8, 9}C) {0, 1, 4, 6, 7, 8, 9}D) {0, 1, 4, 6, 9}8) A∪BA) {0, 4, 6, 9}B) {4, 6, 9}C) {1, 4, 6, 8, 9}D) {1, 2, 3, 5, 7, 8}9) A∩CA) {0, 2, 3, 4, 5, 6, 7, 8, 9}B) {1}C) {1, 2, 3, 4, 5, 7, 8, 9}D) {1, 2, 3, 4, 5, 6, 7, 8, 9}10) B∩CA) {0, 6, 8}B) {6, 8}C) {1, 2, 3, 4, 5, 7, 9}D) { }2Classify NumbersMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.List all the elements of B that belong to the given set.1) B=7,7,-14, 0, 45 ,-54 , 2.5IntegersA) {7,-14, 0}B) {7, 0}C) {7,-14}D) {7, 0,7}Page 1

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2) B=3,5,-18, 0, 13 ,-3, 1.9Natural numbersA) {3}B)3, 0,-3C) {3, 0}D) {-18, 0, 3}3) B=11,6,-10, 0, 01Real numbersA)11,6,-10, 0, 01B) {11,-10, 0}C)11,-10, 0, 01D)11,-104) B=19,6,-9, 0, 01 , 0.83Rational numbersA)19,-9, 0, 01 , 0.83B) {19, 0}C) {6}D)6, 01 , 0.835) B=15,8,-24, 0, 08 , 0.96Irrational numbersA) {8}B) {8, 0.96}C)8, 08D)8, 08 , 0.966) B={20,6,-8, 0, 38 ,-83 , 4.4, 25π, 0.256256256...}IntegersA) {20,-8, 0}B) {20, 0}C) {20,-8}D) {20, 0,6}7) B={7,5,-2, 0, 14 ,-4, 1.7, 5π, 0.525525525...}Natural numbersA) {7}B)7, 0,-4C) {7, 0}D) {-2, 0, 7}8) B={7,8,-8, 0, 09 ,16, 0.54,-8π, 0.161616...}Rational numbersA)7,-8, 0, 09 ,16, 0.54, 0.161616...B)7,-8, 0, 09 , 0.54C)7,-8, 0, 09 , 0.54, 0.161616...D)7,-8, 0, 09 ,16, 0.54,-8π, 0.161616...Page 2

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9) B={4,8,-18, 0, 03 , , 0.84,-8π, 0.161616...}Irrational numbersA) {8,-8π}B) {8}C)8, 03 ,-8πD) {8,-8π, 0.161616...}Approximate the number rounded to three decimal places, and truncated to three decimal places.10) 8.6586A) 8.6598.658B) 8.6608.658C) 8.6598.659D) 8.6588.65911) 1.57142857A) 1.5711.571B) 1.5721.571C) 1.5711.572D) 1.5701.57212) 139A) 1.4441.444B) 1.4451.444C) 1.4441.445D) 1.4451.4453Evaluate Numerical ExpressionsMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.Write the statement using symbols.1) The sum of 9 and 3 is 12.A) 9+3=12B) 93=3C) 9·3=27D) 9-3=62) The difference 70 less 14 equals 56.A) 70-14=56B) 7014=5C) 70+14=84D) 70·14=9803) The product of 60 and 12 equals 720.A) 60·12=720B) 6012=5C) 60+12=72D) 60-12=484) The quotient 18 divided by 6 is 3.A) 186=3B) 18·6=108C) 18+6=24D) 18-6=125) The sum of four times x and 5 decreased by 7 is 8.A) 4x+5-7=8B) 4(x+5)-7=8C) 7-(4x+5)=8D) 4(x+5-7)=86) Three times the difference of x and 8 is-10.A) 3(x-8)=-10B) 3-x-8= -10C) 3x-8= -10D) 3+x-8= -107) The quotient of x and the sum of 5 and x.A)x5+xB) x+5+xC) x(5+x)D) x+5xPage 3

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Evaluate the expression.8)-2-3+7A) 2B)-12C) 8D)-69) 9+23A) 293B) 273C) 292D) 27210) 3·[8(3-8)-6]A)-138B)-30C)-58D)-3411) 3·[5+2·(8+2)]A) 75B) 210C) 35D) 20612) 9-(-6+2·8-1)A) 0B) 18C)-2D)-1213) 2136·47A) 13B) 3C)712D) 9714) 35·14+18A)940B)320C)340D) 9815) 14·10-15+7A) 18920B) 9310C) 845D) 14516) 8+34+4A) 118B) 58C) 110D) 5017) 8-22-8A)-1B) 4C)-4D) 618)710+111A)87110B)821C)455D) 297Page 4

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19) 79-23A) 19B)527C) 59D) 1320)5627A) 3512B) 1235C)521D) 21521) 13+15·19A) 1645B)8135C) 85D)21354Work with Properties of Real NumbersMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.Use the Distributive Property to remove the parentheses.1) 7(x+9)A) 7x+63B) 7x+9C) x+63D) 63x2) 8x(x+6)A) 8x2+48xB) 8x2+6C) x2+48xD) 48x23) 2(5x+8)A) 10x+16B) 7x+10C) 10x+8D) 26x4) 4 12 x+18A) 2x+12B) 2x+14C) 2x+18D) 12 x+125) (x-11)(x-2)A) x2-13x+22B) x2+22x-13C) x2-14x+22D) x2-13x-136) (x+3)(x-7)A) x2-4x-21B) x2-21x-4C) x2-5x-21D) x2-4x-47) (x+7)(x-7)A) x2-49B) x2-14C) x2-14x-49D) x2+14x-49Page 5

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0.2Algebra Essentials1Graph InequalitiesMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.On the real number line, label the points with the given coordinates.1)-9,-7,-5,-3-10-9-8-7-6-5-4-3-2-1-10-9-8-7-6-5-4-3-2-1A)-10-9-8-7-6-5-4-3-2-1-10-9-8-7-6-5-4-3-2-1B)-10-9-8-7-6-5-4-3-2-1-10-9-8-7-6-5-4-3-2-1C)-10-9-8-7-6-5-4-3-2-1-10-9-8-7-6-5-4-3-2-1D)-10-9-8-7-6-5-4-3-2-1-10-9-8-7-6-5-4-3-2-12)-4.75,-2, 0, 2.25-5-4-3-2-101234-5-4-3-2-101234A)-5-4-3-2-101234-5-4-3-2-101234B)-5-4-3-2-101234-5-4-3-2-101234C)-5-4-3-2-101234-5-4-3-2-101234D)-5-4-3-2-101234-5-4-3-2-1012343) 134 ,-134-4-3-2-101234-4-3-2-101234A)-4-3-2-101234-4-3-2-101234B)-4-3-2-101234-4-3-2-101234C)-4-3-2-101234-4-3-2-101234D)-4-3-2-101234-4-3-2-101234Insert<,>, or=to make the statement true.4)-18A)<B)>C)=5)-1.93.8A)<B)>C)=6)-71-69A)<B)>C)=Page 6

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7) 29-29A)>B)<C)=8) 130.33A)>B)<C)=9) 1.733A)<B)>C)=10) 3.14πA)<B)>C)=Write the statement as an inequality.11) z is positiveA) z>0B) z<0C) z≤0D) z≥012) y is greater than-12A) y>-12B) y<-12C) y≥-12D) y≤-1213) y is greater than or equal to 40A) y≥40B) y>40C) y<40D) y≤4014) z is less than or equal to 2A) z≤2B) z<2C) z>2D) z=215) x is less than 6A) x<6B) x>6C) x≤6D) x≥6Graph the numbers on the real number line.16) x>-5-9 -8 -7 -6 -5 -4 -3 -2 -10123456789-9 -8 -7 -6 -5 -4 -3 -2 -10123456789A)-9 -8 -7 -6 -5 -4 -3 -2 -10123456789-9 -8 -7 -6 -5 -4 -3 -2 -10123456789B)-9 -8 -7 -6 -5 -4 -3 -2 -10123456789-9 -8 -7 -6 -5 -4 -3 -2 -10123456789C)-9 -8 -7 -6 -5 -4 -3 -2 -10123456789-9 -8 -7 -6 -5 -4 -3 -2 -10123456789D)-9 -8 -7 -6 -5 -4 -3 -2 -10123456789-9 -8 -7 -6 -5 -4 -3 -2 -10123456789Page 7

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17) x<4-9 -8 -7 -6 -5 -4 -3 -2 -10123456789-9 -8 -7 -6 -5 -4 -3 -2 -10123456789A)-9 -8 -7 -6 -5 -4 -3 -2 -10123456789-9 -8 -7 -6 -5 -4 -3 -2 -10123456789B)-9 -8 -7 -6 -5 -4 -3 -2 -10123456789-9 -8 -7 -6 -5 -4 -3 -2 -10123456789C)-9 -8 -7 -6 -5 -4 -3 -2 -10123456789-9 -8 -7 -6 -5 -4 -3 -2 -10123456789D)-9 -8 -7 -6 -5 -4 -3 -2 -10123456789-9 -8 -7 -6 -5 -4 -3 -2 -1012345678918) x≥4-9 -8 -7 -6 -5 -4 -3 -2 -10123456789-9 -8 -7 -6 -5 -4 -3 -2 -10123456789A)-9 -8 -7 -6 -5 -4 -3 -2 -10123456789-9 -8 -7 -6 -5 -4 -3 -2 -10123456789B)-9 -8 -7 -6 -5 -4 -3 -2 -10123456789-9 -8 -7 -6 -5 -4 -3 -2 -10123456789C)-9 -8 -7 -6 -5 -4 -3 -2 -10123456789-9 -8 -7 -6 -5 -4 -3 -2 -10123456789D)-9 -8 -7 -6 -5 -4 -3 -2 -10123456789-9 -8 -7 -6 -5 -4 -3 -2 -10123456789Page 8

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19) x≤5-9 -8 -7 -6 -5 -4 -3 -2 -10123456789-9 -8 -7 -6 -5 -4 -3 -2 -10123456789A)-9 -8 -7 -6 -5 -4 -3 -2 -10123456789-9 -8 -7 -6 -5 -4 -3 -2 -10123456789B)-9 -8 -7 -6 -5 -4 -3 -2 -10123456789-9 -8 -7 -6 -5 -4 -3 -2 -10123456789C)-9 -8 -7 -6 -5 -4 -3 -2 -10123456789-9 -8 -7 -6 -5 -4 -3 -2 -10123456789D)-9 -8 -7 -6 -5 -4 -3 -2 -10123456789-9 -8 -7 -6 -5 -4 -3 -2 -101234567892Find Distance on the Real Number LineMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.Use the given real number line to compute the distance.1) Find d(A, B)-5-4-3-2-1012345AB-5-4-3-2-1012345ABA) 6B)-6C) 7D) 53Evaluate Algebraic ExpressionsMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.Evaluate the expression using the given values.1) x+13yx=4, y=3A) 43B) 7C) 55D) 172)-4xy+7y-8x=-5, y=1A) 19B) 27C) 35D)-213)-10x+yx=-3, y=3A) 33B)-27C) 0D)-74) 15x-13y7x=8, y=5A) 557B) 1077C) 1857D) 2975) 15x-8yx+12x=8, y=4A) 225B) 15C) 14D) 112Page 9

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6) 5xy+50xx=5, y=7A) 45B) 15C) 85D) 107) x-yx=-8, y=7A) 15B) 1C)-15D)-18) x-yx=-7, y=3A) 4B) 10C)-4D)-109) 6x-7yx=6, y=7A) 13B) 85C)-13D)-8510) |x|x+|y|yx=5 and y=-3A) 0B) 2C) 1D)-111) |-8x-10y|x=4, y=-1A) 22B) 42C) 32D) 4812) 4 x+5 yx=5, y=-3A) 35B) 5C)-35D)-5Use the formula C=59(F-32) for converting degrees Fahrenheit into degrees Celsius to find the Celsius measure ofthe Fahrenheit temperature.13) F=32°A) 0° CB) 5° CC)-5° CD) 10° CExpress the statement as an equation involving the indicated variables.14) The area A of a rectangle is the product of its length l and its width w.A) A=lwB) A=l+wC) A=2(l+w)D) A=lw15) The perimeter P of a rectangle is twice the sum of its length l and its width w.A) P=2(l+w)B) P=l+wC) P=lwD) P=2lw16) The circumference C of a circle is the product ofπand its diameter d.A) C=πdB) C=πdC) C=π+dD) C=2πd17) The area A of a triangle is one-half the product of its base b and its height h.A) A=12 bhB) A=2bhC) A=12 (b+h)D) A=bh18) The volume V of a sphere is 43 timesπtimes the cube of the radius r.A) V=43πr3B) V=43πr2C) V=43π3 rD) V=43πrPage 10

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19) The surface area S of a sphere is 4 timesπtimes the square of the radius r.A) S=4πr2B) S=4πrC) S=4πrD) S=πr220) The volume V of a cube is the cube of the length x of a side.A) V=x3B) V=3 xC) V=3xD) V=x221) The surface area S of a cube is 6 times the square of the length x of a side.A) S=6x2B) S=6xC) S=6+x2D) S=x2Solve the problem.22) The weekly production cost C of manufacturing x calendars is given by C(x)=20+6x, where the variableC is in dollars. What is the cost of producing 292 calendars?A) $1772.00B) $5846.00C) $1752.00D) $312.0023) At the beginning of the month, Christopher had a balance of $208 in his checking account. During the nextmonth, he wrote a check for $57, deposited $103, and wrote another check for $190. What was his balanceat the end of the month?A) $64B)-$64C)-$142D) $1424Determine the Domain of a VariableMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.Determine which value(s), if any, must be excluded from the domain of the variable in the expression.1) x2-1xA) x=0B) x=1, x= -1C) x=1, x=0D) x= -12)7x-3x2-81A) x=9, x=-9B) x=81C) x=9D) x=373) x3+6x4x2+49A) x=0, x=-16B) x=-49C) x= -7D) none4) x2+10x+3x3-25xA) x=5, x=-5, x=0B) x=5, x= -5C) x=0D) x=5, x=05)xx-8A) x=8B) x=-8C) x=0D) none6)2x+6A) x=-6B) x=6C) x=0D) nonePage 11

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7) x-8x-6A) x=6B) x=-6C) x=0D) none5Use the Laws of ExponentsMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.Simplify the expression.1) 34A) 81B) 12C)-81D)-122)-44A)-256B) 16C) 256D)-163) 4-3A)164B)-64C) 64D)1124) (-5)-4A)1625B)-625C) 625D)-16255)-5-2A)-125B)-25C) 25D)1106) (-5)3A)-125B) 125C)-15D) 157) 2-7·24A) 18B) 8C) 4D)1168) (2-2)-1A) 4B) 14C) 12D) 2Simplify the expression. Express the answer so that all exponents are positive. Whenever an exponent is 0 ornegative, we assume that the base is not 0.9) (5xy)3A) 125x3y3B) 125xyC) 5x3y3D)1125x3y310) (9x3)-2A)181x6B) 81x6C) x681D) 81x6Page 12

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11) (-5x3)-1A)-15x3B)-1125x3C)15x3D)1125x312) (x8y-1)8A) x64y8B) y8x64C)1x64y8D) x64y813) (x-4y)9A) y9x36B) y9x4C)1x36y9D) x36y914) x-2y7xy9A)1x3y2B)1xy2C) y2x3D)xy215) x-3y9x4y13A)1x7y4B) x7y4C) y4x7D) x7y416)7x-14y-1-3A)64x3343y3B) 343x364y3C)64y3343x3D) 343y364x317)6x-17y-1-2A) 49x236y2B) 36x1249y12C) 49y236x2D) 36x249y218) (x-6y8)-7z4A) x42z4y56B) y56z4x42C)x42y56z4D)y56x42z419)-8x7y-27z7-2A) 49y4z1464x14B)64x1449y4z14C)49z1464x14y4D)49y464x14z14Page 13

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Evaluate the expression using the given value of the variables.20) (x+2y)2 for x=2, y=2A) 36B) 6C) 12D) 1621) 5x-1y2 for x=-1, y=-2A)-20B)-45C)-54D)-2022) 4x2-4y2 for x=-3, y=2A) 20B) 28C) 52D)-2823) 4x3+5x2-5x+9 for x=1A) 13B) 23C) 3D)-5Solve.24) What is the value of (6666)4(2222)4 ?A) 81B) (3333)4C) 162D) (2222)46Evaluate Square RootsMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.Simplify the expression.1)25A) 5B) 625C)125D) not a real number2)(-7)2A) 7B) 2401C)149D) not a real numberFind the value of the expression using the given values.3)x2x=-6A) 6B) 23C)-6D)-234) (x)2x=9A) 9B) 81C)181D) 195)x2+y2x=15, y=20A) 25B) 13C) 18D) 246)x2+y2x=-5, y=2A)29B) 7C)-3D) 107)x2+y2x=1, y=2A) 3B)-1C) 5D) 1Page 14

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8) yxx=-3, y=6A)1216B) 216C)-216D)-12167Use a Calculator to Evaluate ExponentsMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.Use a calculator to evaluate the expression. Round the answer to three decimal places.1) (-3.36)-5A)-0.002B) 0.002C)-428.249D) 428.2492)-(-4.47)2A)-19.981B) 19.981C)-0.050D) 0.0503) (1.08)-6A) 0.630B)-0.630C)-1.587D) 1.5878Use Scientific NotationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.Write the number in scientific notation.1) 6712A) 6.712×103B) 6.712×104C) 6.712×10-3D) 6.712×1012) 237.5A) 2.375×102B) 2.375×10-2C) 2.375×101D) 2.375×10-13) 210.081A) 2.10081×102B) 2.10081×10-2C) 2.10081×101D) 2.10081×10-14) 81,000A) 8.1×104B) 8.1×10-4C) 8.1×105D) 8.1×10-55) 3,900,000A) 3.9×106B) 3.9×10-6C) 3.9×105D) 3.9×10-56) 0.000862A) 8.62∘10-4B) 8.62×104C) 8.62×10-5D) 8.62×10-37) 0.000093111A) 9.3111×10-5B) 9.3111×105C) 9.3111±10-4D) 9.3111×1048) 0.0000042811A) 4.2811×10-6B) 4.2811×106C) 4.2811×10-5D) 4.2811×10-79) 0.00000016107A) 1.6107×10-7B) 1.6107×107C) 1.6107×10-6D) 1.6107×106Page 15

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10) 0.0000000487015A) 4.87015×10-8B) 4.87015×108C) 4.87015×10-7D) 4.87015×10-911) In a certain city, the subway system carried a total of 1,840,000,000 passengers.A) 1.84×109B) 18.4×109C) 1.84×108D) 1.84×101012) A business projects next year's profits to be $884,000,000.A) 8.84×108B) 8.84×107C) 8.84×109D) 8.84×10-913) A computer compiles a program in 0.000676 seconds.A) 6.76×10-4B) 6.76×10-5C) 6.76×10-6D) 6.76×103Write the number as a decimal.14) 1.70×103A) 1700B) 17,000C) 170D) 5115) 6.650×105A) 665,000B) 6,650,000C) 66,500D) 332.516) 6.2121×105A) 621,210B) 6,212,100C) 62,121D) 310.60517) 9.54×10-4A) 0.000954B) 0.00954C) 0.0000954D)-954,00018) 7.987×10-5A) 0.00007987B) 0.0007987C) 0.000007987D)-798,70019) 3.974×10-6A) 0.000003974B) 0.00003974C) 0.0000003974D)-3,974,00020) 4.0694×10-7A) 0.00000040694B) 0.0000040694C) 0.000000040694D)-406940,00021) There are 2.106×106 miles of highways, roads, and streets in a certain country.A) 2,106,000B) 21,060,000C) 210,600D) 210,600,0000.3Geometry Essentials1Use the Pythagorean Theorem and Its ConverseMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.The lengths of the legs of a right triangle are given. Find the hypotenuse.1) a=4,b=3A) 5B) 7C) 2D) 252) a=12,b=16A) 20B) 11C) 14D) 19Page 16

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Test Bank for College Algebra Enhanced with Graphing Utilities , 7th Edition - Page 19 preview image

The lengths of the sides of a triangle are given. Determine if the triangle is a right triangle. If it is, identify thehypotenuse.3) 5, 12, 13A) right triangle; 13B) right triangle; 12C) right triangle; 5D) not right triangle4) 2, 3, 4A) right triangle; 4B) right triangle; 3C) right triangle; 2D) not right triangle5) 9, 12, 15A) right triangle; 15B) right triangle; 12C) right triangle; 9D) not a right triangle6) 15, 36, 39A) right triangle; 39B) right triangle; 36C) right triangle; 15D) not a right triangle7) 21, 72, 75A) right triangle; 75B) right triangle; 72C) right triangle; 21D) not a right triangle8) 10, 20, 25A) right triangle; 25B) right triangle; 20C) right triangle; 10D) not a right triangle9) 6, 8, 12A) right triangle; 12B) right triangle; 8C) right triangle; 6D) not a right triangleSolve. Use the fact that the radius of the Earth is 3960 miles and 1 mile=5280 feet.10) A guard tower at a state prison stands 103 feet tall. How far can a guard see from the top of the tower?Round to the nearest tenth of a mile.A) 12.4 miB) 5600.3 miC) 17.6 miD) 909 mi11) A person who is 3 feet tall is standing on the beach and looks out onto the ocean. Suddenly, a shipappears on the horizon. How far is the ship from the shore? Round to the nearest tenth of a mile.A) 2.1 miB) 5600.3 miC) 3 miD) 154.2 mi2Know Geometry FormulasMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.Solve the problem.1) Find the area A of a rectangle with length 18 in and width 20 in.A) A=360 in2B) A=720 in2C) A=38 in2D) A=72 in22) Find the area A of a rectangle with length 7.5 ft and width 10.4 ft.A) A=78 ft2B) A=156 ft2C) A=17.9 ft2D) A=30 ft23) Find the area A of a triangle with height 3 in and base 3 in.A) A=92 in2B) A=92 inC) A=9 in2D) A=9 inPage 17

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Test Bank for College Algebra Enhanced with Graphing Utilities , 7th Edition - Page 20 preview image

4) Find the area A and circumference C of a circle of radius 7 in.. Express the answer in terms ofπ.A) A=49πin.2; C=14πin.B) A=14πin.2; C=14πin.C) A=196πin.2; C=7πin.D) A=28πin.2; C=7πin.5) Find the area A and circumference C of a circle of diameter 11 ft. Use 3.14 forπ. Round the result to thenearest tenth.A) A=95 ft2; C=34.5 ftB) A=34.5 ft2; C=34.5 ftC) A=379.9 ft2; C=17.3 ftD) A=69.1 ft2; C=17.3 ft6) Find the volume V of a rectangular box with length 8 yd, width 2 yd, and height 6 yd.A) V=96 yd3B) V=32 yd3C) V=72 yd3D) V=384 yd37) Find the surface area S of a rectangular box with length 3 ft, width 2 ft, and height4 ft.A) 52 ft2B) 40 ft2C) 26 ft2D) 44 ft28) Find the volume V and surface area S of a sphere of radius 8 centimeters. Express the answer in terms ofπ.A) V=20483πcm3; S=256πcm2B) V=5123πcm3; S=20483πcm2C) V=2048πcm3; S=16πcm2D) V=512πcm3; S=64πcm29) Find the volume V of a sphere of radius 2 ft. Use 3.14 forπ. If necessary, round the result to the nearesttenth.A) V=33.5 ft3B) V=16.7 ft3C) V=18.8 ft3D) V=267.9 ft310) Find the volume V of a right circular cylinder with radius 7 ft and height 16 ft. Express the answer in termsofπ.A) V=784πft3B) V=196πft3C) V=112πft3D) V=56πft311) Find the surface area S of a right circular cylinder with radius 7 cm, and height 6 cm. Use 3.14 forπ.Round your answer to one decimal place.A) 571.4 cm2B) 285.7 cm2C) 923.2 cm2D) 439.6 cm212) Find the volume V of a sphere of diameter 8 yd. Use 3.14 forπ. If necessary, round the result to the nearesttenth.A) V=267.9 yd3B) V=67 yd3C) V=150.7 yd3D) V=2143.6 yd3Page 18

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Test Bank for College Algebra Enhanced with Graphing Utilities , 7th Edition - Page 21 preview image

13) Find the area of the shaded region. Express the answer in terms ofπ.99A) 81-814πsquare unitsB) 324-81πsquare unitsC) 81-812πsquare unitsD) 814π+81 square units14) Find the area of the shaded region. Express the answer in terms ofπ.11A) 12πsquare unitsB) 14πsquare unitsC) 12 square unitsD) 1πsquare units15) Find the area of the shaded region. Express the answer in terms ofπ.22A) 2π-4 square unitsB) 1π-4 square unitsC) 4 square unitsD) 2π-2 square units16) A bicycle wheel makes 4 revolutions. Determine how far the bicycle travels in inches if the diameter of thewheel is 13 in. Useπ≈3.14. Round to the nearest tenth.A) 163.3 in.B) 40.8 in.C) 52 in.D) 326.6 in.17) A rectangular patio has dimensions 10 feet by 15 feet. The patio is surrounded by a border with a uniformwidth of 2 feet. Find the area of the border.A) 116 ft2B) 54 ft2C) 158 ft2D) 84 ft2Page 19

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Test Bank for College Algebra Enhanced with Graphing Utilities , 7th Edition - Page 22 preview image

18) A circular swimming pool, 20 feet in diameter, is enclosed by a circular deck that is 4 feet wide. What is thearea of the deck? Useπ=3.1416.A) 301.6 ft2B) 584.3 ft2C) 703.7 ft2D) 314.2 ft219) Find the perimeter. Approximate the result to the nearest tenth using 3.14 forπ.9 ft4 ftA) 28.3 ftB) 34.6 ftC) 32.3 ftD) 38.6 ft20) Find the area of the window. Approximate the result to the nearest tenth using 3.14 forπ.8 dm3 dmA) 27.5 dm2B) 52.3 dm2C) 38.1 dm2D) 26.4 dm2Page 20

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Test Bank for College Algebra Enhanced with Graphing Utilities , 7th Edition - Page 23 preview image

3Understand Congruent Triangles and Similar TrianglesMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.The triangles are similar. Find the missing length x and the missing angles A, B, C.1)92°162839°49°14A) x=8 units; A=92°; B=39°; C=49°B) x=16 units; A=39°; B=92°; C=49°C) x=8 units; A=49°; B=39°; C=92°D) x=16 units; A=92°; B=39°; C=49°2)14°27°301020139°A) x=15; A=27; B=14; C=139B) x=30; A=14; B=27; C=139C) x=15; A=139; B=14; C=27D) x=30; A=27; B=14; C=139Solve. If necessary, round to the nearest tenth.3) A flagpole casts a shadow of 33 feet. Nearby, a 5-foot tree casts a shadow of 2 feet. What is the height ofthe flagpole?A) 82.5 ftB) 13.2 ftC) 0.3 ftD) 330 ft4) If a flagpole 27 feet tall casts a shadow that is 36 feet long, find the length of the shadow cast by an antennawhich is 18 feet tall.A) 24 ftB) 13.5 ftC) 54 ftD) 27 ft5) The zoo has hired a landscape architect to design the triangular lobby of the children's petting zoo. In hisscale drawing, the longest side of the lobby is 6 cm. The shortest side of the lobby is 2 cm. The longest sideof the actual lobby will be 49 m. How long will the shortest side of the actual lobby be?A) 16.3 mB) 0.2 mC) 147 mD) 1.5 mPage 21

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Test Bank for College Algebra Enhanced with Graphing Utilities , 7th Edition - Page 24 preview image

6) If a tree 32.5 feet tall casts a shadow that is 13 feet long, find the height of a tree casting a shadow that is 25feet long.A) 62.5 ftB) 10 ftC) 16.9 ftD) 44.5 ft0.4Polynomials1Recognize MonomialsMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.Tell whether the expression is a monomial. If it is, name the variable(s) and coefficient, and give the degree of themonomial.1)-18xA) Monomial; variable x; coefficient-18; degree 1B) Monomial, variable x; coefficient 1; degree-18C) Monomial,; variable x; coefficient-18; degree 0D) Not a monomial2) 13x4A) Monomial; variable x; coefficient 13; degree 4B) Monomial; variable x; coefficient 4; degree 13C) Monomial; variable x; coefficient 4; degree 0D) Not a monomial3) 7xA) Monomial; variable x; coefficient 7; degree 1B) Monomial; variable x; coefficient 7; degree-1C) Monomial; variable x; coefficient 7; degree 0D) Not a monomial4)-11x-3A) Monomial; variable x; coefficient-11; degree-3B) Monomial; variable x; coefficient 3; degree-11C) Monomial; variable x; coefficient-11; degree 3D) Not a monomial5)-3xy7A) Monomial; variables x, y; coefficient-3; degree 8B) Monomial; variables x, y; coefficient-3; degree 7C) Monomial; variables x, y; coefficient-3; degree 1D) Not a monomial6) 7x2y6A) Monomial; variables x, y; coefficient 7; degree 8B) Monomial; variables x, y; coefficient 7; degree 2C) Monomial; variables x, y; coefficient 7; degree 6D) Not a monomial7) 20xyA) Monomial; variables x, y; coefficient 20; degree 1B) Monomial; variables x, y; coefficient 20; degree-2C) Monomial; variables x, y; coefficient 20; degree 2D) Not a monomialPage 22

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Test Bank for College Algebra Enhanced with Graphing Utilities , 7th Edition - Page 25 preview image

8)--3x7y3A) Monomial; variables x, y; coefficient-3; degree 7B) Monomial; variables x, y; coefficient-3; degree 3C) Monomial; variables x, y; coefficient-3; degree 4D) Not a monomial9) 4x3-5A) Monomial; variable x; coefficient 4; degree 3B) Monomial; variable x; coefficient 5 ; degree 3C) Monomial; variable x; coefficient 4; degree 1D) Not a monomial2Recognize PolynomialsMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.Tell whether the expression is a polynomial. If it is, give its degree.1) 7x5-2A) Polynomial; degree 5B) Polynomial; degree 2C) Polynomial; degree 7D) Not a polynomial2) 1-5xA) Polynomial; degree 1B) Polynomial; degree 5C) Polynomial; degree-5D) Not a polynomial3) 18A) Polynomial, degree 0B) Polynomial, degree 1C) Polynomial, degree 18D) Not a polynomial4) 7πA) polynomial, degree 0B) polynomial, degree 1C) polynomial, degree 7D) not a polynomial5) 7x5-2xA) Polynomial; degree 5B) Polynomial; degree-1C) Polynomial; degree 1D) Not a polynomial6) 14x+1A) Polynomial, degree 0B) Polynomial, degree-1C) Polynomial, degree 14D) Not a Polynomial7)-6y8-3A) Polynomial; degree 8B) Polynomial; degree-6C) Polynomial; degree 3D) Not a polynomial8) 8z3+zA) Polynomial; degree 3B) Polynomial; degree 4C) Polynomial; degree 1D) Not a polynomialPage 23

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Test Bank for College Algebra Enhanced with Graphing Utilities , 7th Edition - Page 26 preview image

9)-6x6-18x4-3x2A) Polynomial; degree 4B) Polynomial; degree 6C) Polynomial; degree 0D) Not a polynomial3Add and Subtract PolynomialsMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.Add or subtract as indicated. Express the answer as a single polynomial in standard form.1) (8x2+3x-13)+(6x+13)A) 8x2+9xB) 8x2+9x-26C) 8x2+3x+26D) 17x32) (8x2-6x-5)+(8x2+8x-3)A) 16x2+2x-8B) 3x2+16x-9C) 16x2-2x-8D) 16x2+2x+83) (8x2+14x-6)-(3x2+9x-18)A) 5x2+5x+12B) 5x2+17x-24C) 5x2+5x-24D) 5x2+5x-124) (7x4-8x3)+(2x4-5x3)A) 9x4-13x3B) 9x8-13x6C)-4x7D)-4x145) (17x5-18x4)-(9x5-14x4)A) 8x5-4x4B) 8x5-32x4C) 4x9D) 26x5-32x46) (4x7+4x6)+(3x7-8x6+2)A) 7x7-4x6+2B)-4x7-4x6+2xC) 2x-4x7-5x6D)-2x147) (-9x2-10)-(-x3+6x2+1)A) x3-15x2-11B)-8x3-4x2-1C) x3-3x2-9D)-8x3+6x2-118) (9x5-12x2-14)-(4x5-7x2+6)A) 5x5-5x2-20B) 5x5-8x2-8C) 5x5-5x2-8D)-20x79) (8x7+9x6-12)-(-11x6+6x7-20)A) 2x7+20x6+8B) 2x7+15x6-32C) 2x7+20x6-32D) 30x1310) (6x5-6x2-7x)+(2x5-2x2-5x)A) 8x5-8x2-12xB)-5x5+4x2-11xC) 8x-8x5-12x2D)-12x811)-3(x2+3x+1)+(-3x2-x+5)A)-6x2-10x+2B) 0x2-10x+2C)-6x2-9x+2D)-6x2-10x+612) 4(-4x3+x2-1)-5(6x3+2x+2)A)-46x3+4x2-10x-14B)-46x3+4x2+10x-14C)-46x3+x2-10x-14D)-46x3+4x2-10x+14Page 24

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Test Bank for College Algebra Enhanced with Graphing Utilities , 7th Edition - Page 27 preview image

13) (x2+1)-(9x2+5)+(x2+x-2)A)-7x2+x-6B)-9x2+x-6C)-8x2+x-6D)-7x2+6x-114)-9(1-y3)-3(1+y+y2+y3)A) 6y3-3y2-3y-12B) 6y3+3y2-3y+12C) 6y3-3-ay2-3y-12D)-6y3-3y2-3y-124Multiply PolynomialsMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.Perform the indicated operations. Express the answer as a single polynomial in standard form.1) 10x(-2x+6)A)-20x2+60xB) 40x2C)-20x2+6xD)-2x2+60x2)-6x4(12x+9)A)-72x5-54x4B)-72x-54C)-72x5+9D)-126x43)-5x3(4x6-11)A)-20x9+55x3B)-20x6+55C)-20x9-11D) 35x34) 3x6(-4x5+12x4+5)A)-12x11+36x10+15x6B)-12x11+36x10C)-12x11+12x4+5D)-12x5+36x4+155) (x-11)(x2+6x-4)A) x3-5x2-70x+44B) x3+17x2+62x-44C) x3-5x2-62x-44D) x3+17x2+70x+446) (10y+11)(2y2-2y-7)A) 20y3+2y2-92y-77B) 20y3-20y2-70y+11C) 42y2-42y-147D) 20y3+42y2+92y+77Multiply the polynomials using the FOIL method. Express the answer as a single polynomial in standard form.7) (x+9)(x+3)A) x2+12x+27B) x2+27x+12C) x2+11x+27D) x2+12x+128) (-2x-11)(x+3)A)-2x2-17x-33B)-2x2-33x-17C)-2x2-17x-17D)-2x2-19x-339) (3x+5)(5x+9)A) 15x2+52x+45B) 8x2+52x+45C) 15x2+52x+52D) 8x2+52x+5210) (x-3y)(x+11y)A) x2+8xy-33y2B) x+8xy-33yC) x2+8xy+8y2D) x2+5xy-33y2Page 25

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Test Bank for College Algebra Enhanced with Graphing Utilities , 7th Edition - Page 28 preview image

11) (x-9y)(3x-12y)A) 3x2-39xy+108y2B) x2-39xy+108y2C) 3x2-39xy-39y2D) x2-39xy-39y212) (3x+6y)(-5x-12y)A)-15x2-66xy-72y2B)-15x2-30xy-72y2C)-15x2-36xy-72y2D)-15x2-66xy-66y25Know Formulas for Special ProductsMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.Multiply the polynomials. Express the answer as a single polynomial in standard form.1) (x+10)(x-10)A) x2-100B) x2-20C) x2-20x-100D) x2+20x-1002) (10x+13)(10x-13)A) 100x2-169B) x2-169C) 100x2-260x-169D) 100x2+260x-1693) (x+16)2A) x2+32x+256B) x2+256C) 256x2+32x+256D) x+2564) (x-16)2A) x2-32x+256B) x2+256C) 256x2-32x+256D) x+2565) (5x+12)2A) 25x2+120x+144B) 25x2+144C) 5x2+120x+144D) 5x2+1446) (x+9y)(x-9y)A) x2-81y2B) x2-18y2C) x2-18xy-81y2D) x2+18xy-81y27) (12y+x)(12y-x)A) 144y2-x2B) 24y2-x2C) 144y2-24xy-x2D) 144y2+24xy-x28) (7x-6)2A) 49x2-84x+36B) 49x2+36C) 7x2-84x+36D) 7x2+369) (a-b)2A) a2-2ab+b2B) a2-ab+b2C) a2-2ab-b2D) a2+2ab+b210) (2x+9y)2A) 4x2+36xy+81y2B) 4x2+81y2C) 2x2+36xy+81y2D) 2x2+81y211) (6x-5y)2A) 36x2-60xy+25y2B) 36x2+25y2C) 6x2-60xy+25y2D) 6x2+25y2Page 26

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Test Bank for College Algebra Enhanced with Graphing Utilities , 7th Edition - Page 29 preview image

12) (x+3)3A) x3+9x2+27x+27B) x3+3x2+3x+27C) x3+9x2+3x+27D) x3+9x2+9x+2713) (2x+3)3A) 8x3+36x2+54x+27B) 8x3+36x2+36x+27C) 4x6+6x3+729D) 4x2+12x+96Divide Polynomials Using Long DivisionMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.Find the quotient and the remainder.1) 18x7-30x3 divided by 6xA) 3x6-5x2; remainder 0B) 18x6-30x2; remainder 0C) 3x8-5x4; remainder 0D) 3x7-5x3; remainder 02) 32x2+20x-13 divided by 4xA) 8x+5; remainder-13B) 8x2+5x-134 ; remainder 0C) 32x+20; remainder-13D) 8x-8; remainder 03) x2+8x+12 divided by x+6A) x+2; remainder 0B) x-6; remainder 0C) x2+2; remainder 0D) x3-6; remainder 04) 2x2+7x-72 divided by x+8A) 2x-9; remainder 0B) 2x+9; remainder 0C) x-9; remainder 0D) 2x-9; remainder 25) x2+5x-30 divided by x+9A) x-4; remainder 6B) x-4; remainder 0C) x+4; remainder 6D) x-6; remainder 46) x2+11x+22 divided by x+5A) x+6; remainder-8B) x+6; remainder 8C) x+6; remainder 0D) x+7; remainder 07) 9x3+61x2-5x+63 divided by x+7A) 9x2-2x+9; remainder 0B) 9x2+2x+9; remainder 0C) x2+3x+4; remainder 0D) x2+2x+9; remainder 08) 20x3+41x2-5x-8 divided by-5x-4A)-4x2-5x+5; remainder 12B)-4x2-5x+5; remainder 0C)-4x2-5x+5; remainder 15D) x2+5; remainder-59) 5x3-7x2+7x-8 divided by 5x-2A) x2-x+1; remainder-6B) x2-x+1; remainder 6C) x2-x+1; remainder 10D) x2+x-1; remainder-6Page 27

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Test Bank for College Algebra Enhanced with Graphing Utilities , 7th Edition - Page 30 preview image

10) x4+256 divided by x-4A) x3+4x2+16x+64; remainder 512B) x3+4x2+16x+64; remainder 256C) x3+4x2+16x+64; remainder 0D) x3-4x2+16x-64; remainder 51211)-10x3-15x2+23x+15 divided by-2x-5A) 5x2-5x+1; remainder 20B) 5x2-5x+1; remainder 0C) 5x2-5x+1; remainder 23D) x2+1; remainder-512) 9x3+24x2+3x-13 divided by-3x-5A)-3x2-3x+4; remainder 7B)-3x2-3x+4; remainder 0C)-3x2-3x+4; remainder 10D) x2+4; remainder-313) x4+4x2+5 divided by x2+1A) x2+3; remainder 2B) x2+3x+12 ; remainder 0C) x2+3; remainder 0D) x2+3x+1; remainder 214) x4+256 divided by x-4A) x3+4x2+16x+64; remainder 512B) x3+4x2+16x+64; remainder 256C) x3+4x2+16x+64; remainder 0D) x3-4x2+16x-64; remainder 51215) x2-16a2 divided by x-4aA) x+4aB) x-4aC) x2-8xaD) x2+8xa7Work with Polynomials in Two VariablesMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.Multiply the polynomials using the FOIL method. Express the answer as a single polynomial in standard form.1) (x-2y)(x+9y)A) x2+7xy-18y2B) x+7xy-18yC) x2+7xy+7y2D) x2+4xy-18y22) (-3x+7y)(-3x-4y)A) 9x2-9xy-28y2B) 9x2-21xy-28y2C) 9x2+12xy-28y2D) 9x2-9xy-9y2Multiply the polynomials using the special product formulas. Express the answer as a single polynomial instandard form.3) (x+3y)(x-3y)A) x2-9y2B) x2-6y2C) x2-6xy-9y2D) x2+6xy-9y24) (6x+y)(6x-y)A) 36x2-y2B) 12x2-y2C) 36x2-12xy-y2D) 36x2+12xy-y25) (5x+9y)(5x-9y)A) 25x2-81y2B) 25x2-90xy-81y2C) 10x2-18y2D) 25x2+90xy-81y2Page 28

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Test Bank for College Algebra Enhanced with Graphing Utilities , 7th Edition - Page 31 preview image

6) (x-y)2A) x2-2xy+y2B) x2-xy+y2C) x2-y2D) x2-2x2y2+y27) (x-3y)2A) x2-6xy+9y2B) x2-3xy+9y2C) x2-y2D) x2+6xy+9y28) (4x-y)2A) 16x2-8xy+y2B) 16x2-4xy+y2C) 16x2+y2D) 16x2-8xy-2y29) (2x+7y)2A) 4x2+28xy+49y2B) 4x2+49y2C) 2x2+28xy+49y2D) 2x2+49y210) (10x-11y)2A) 100x2-220xy+121y2B) 100x2+121y2C) 10x2-220xy+121y2D) 10x2+121y20.5Factoring Polynomials1Factor the Difference of Two Squares and the Sum and Difference of Two CubesMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.Factor the polynomial by removing the common monomial factor.1) 6x-54A) 6(x-9)B) 6(x+9)C) x(x-6)D) x(x+6)2) 4x2-8xA) 4x(x-2)B) 4x(x+2)C) 4(x2-2x)D) 4x2(x-2)Factor the difference of two squares.3) x2-9A) (x+3)(x-3)B) (x+9)(x-9)C) (x-3)(x-3)D) (x2+3)(x2-3)4) 100x2-1A) (10x-1)(10x+1)B) (10x+1)2C) (10x-1)2D) prime5) 16-x2A) (4-x)(4+x)B) (4+x)2C) (4-x)2D) prime6) 9x2-49A) (3x+7)(3x-7)B) (3x-7)2C) (3x+7)2D) (9x+1)(x-49)Factor the sum or difference of two cubes.7) x3-64A) (x-4)(x2+4x+16)B) (x+4)(x2-4x+16)C) (x-4)(x2+16)D) (x+64)(x2-1)8) x3+27A) (x+3)(x2-3x+9)B) (x-3)(x2+3x+9)C) (x+3)(x2+9)D) (x-27)(x2-1)Page 29

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