Practice Exam 2Name___________________________________MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.Use the distributive property of multiplication over addition to rewrite the sum as a product of two factors, where oneof the factors is a sum.1)15wx + 21wy - 27wA)15w(x + 21y - 27)B)3w(5x + 7y - 27w)C)w(15x + 21y - 27)D)3w(5x + 7y - 9)1)2)6yz - 54yF)6y(z + 9)G)6y(z - 54)H)9y(z - 6)J)6y(z - 9)2)Round the number to the place value indicated.3)75,825A)75,900B)75,700C)75,800D)75,8103)4)255,116F)250,000G)300,000H)260,000J)255,0004)Use front-end estimation with or without adjustment as indicated to find the value of the expression.5)8924 + 68 + 907 + 3574 (without adjustment)A)13,470B)13,473C)11,960D)13,4605)Use the definition of division to rewrite the division equation as a multiplication equation.6)n ÷ m = pF)m = n ÷ pG)n × m = pH)n = p × mJ)n × p = m6)7)85 ÷ 5 = 17A)85 = 17 × 5B)85 × 5 = 17C)5 = 85 ÷ 17D)17 × 85 = 57)Write the numeral in base ten.8)130fiveF)40G)650H)60J)6408)9)1010twoA)20B)2020C)4D)109)10)436eightF)286G)269H)268J)29610)11)B9twelve (B = 11ten)A)141B)313C)414D)13111)Convert the base-ten number to a numeral in the indicated base.12)2874 to base fiveF)42,422fiveG)42,444fiveH)42,424fiveJ)42,222five12)113)15 to base twoA)1111twoB)1110twoC)11110twoD)111two13)14)503 to base eightF)565eightG)656eightH)767eightJ)676eight14)Identify the property of multiplication of whole numbers that is illustrated in the following.15)4(x + 8) = 4x + 4 · 8A)CommutativeB)DistributiveC)IdentityD)Associative15)16)23 · 617 + 77 · 617 = 100 · 617 = 61,700F)CommutativeG)IdentityH)AssociativeJ)Distributive16)17)3 · 1 = 3A)AssociativeB)DistributiveC)IdentityD)Commutative17)Write a multiplication equation and find the area of the rectangle.18)A rectangle 2f units high and m2 units wideF)(2 × 2f units high) + (2 × m2 units) = 4f + m square unitsG)2f units high × m2 units = fm square unitsH)2f units high + m2 units = 2f + m2 square unitsJ)2f units high × m2 units = fm2 square units18)19)A rectangle 15 units high and 11 units wideA)(2 × 15 units) + (2 × 11 units) = 52 square unitsB)15 units × 11 units2 = 82.5 square unitsC)15 units × 11 units = 165 square unitsD)15 units + 11 units = 26 square units19)Decide whether or not the set has the closure property for multiplication.20){1, 2, 3, 4, . . ., 39}F)YesG)No20)21){1, 3, 5, 7, . . .}A)YesB)No21)Use the definition of subtraction to rewrite the subtraction equation as an addition equation.22)76 - x = 61F)x = 76 + 61G)x - 76 = 61H)76 + x = 61J)x + 61 = 7622)2Solve the problem.23)David's company has to ship 3199 boxes of sprinklers. If a truck can hold 550 boxes, how manytrucks does he need to ship all the boxes?A)7B)5C)6D)423)24)Find (A n B) n C, given A = {s, e, t}, B = {m, e}, and C = {f, r, e, e}.F){s, e, t, m, f, r}G){s, e, t, m, e, f, r, e, e}H){ }J){e}24)25)A delicatessen serves 13 kinds of sandwiches and 5 kinds of chips. How many differentsandwich and chip lunches can they make if each lunch has one sandwich and one bag of chips?A)18B)13C)1D)6525)26)Find A ? B, given A = {6, 15, 3} and B = {15, 3, 100}.F){ }G){6, 15, 3, 100}H){6, 15, 15, 3, 3, 100}J){15, 3}26)Find the Cartesian product or cardinal number as requested.27)n(A × B) = 84n(B) = 7Find n(A).A)12B)77C)91D)727)28)Write {(k, 3), (k, 4), (j, 3), (j, 4)} as a Cartesian product.F){3, 4} × {k, j}G){k, j} × {3, 4}H){k, 3} × {j, 4}J){k, j, 3, 4} × {1}28)29)A = {i, a}B = {t, d, m}Find A × B.A){(i, t), (t, a), (i, d), (d, a), (i, m), (m, a)}B){(i, t), (i, d), (i, m), (a, t), (a, d), (a, m)}C){(i, t), (a, t), (i, d), (a, d)}D){(t, i), (t, a), (d, i), (d, a), (m, i), (m, a)}29)SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.Provide an appropriate response.30)Use the concept of addition to show that 8 > 2.30)31)In the set of whole numbers, is 4 - 9 meaningful? Explain.31)MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.Estimate the answer by rounding as indicated.32)Estimate by rounding to the nearest ten.64 - 15F)80G)50H)40J)4932)Decide whether or not the set is closed under addition.33){2, 4, 6, 8, . . .}A)Not closedB)Closed33)334){1, 3, 5, 7,...}F)ClosedG)Not closed34)Estimate the answer by clustering.35)725 + 676 + 712 + 729A)2850B)2800C)180D)275035)Use the distributive property to find the product.36)(2n + 3) × (n + 4)F)13n + 12G)2n2 + 12H)2n2 + 3n + 12J)2n2 + 11n + 1236)Name the property of addition that has been applied.37)(2 + 8) + 1 = (8 + 2) + 1A)IdentityB)AssociativeC)CommutativeD)Closure37)38)(8 + 2) + 2 = 8 + (2 + 2)F)CommutativeG)ClosureH)IdentityJ)Associative38)Write or illustrate the number in the indicated form.39)56, using expanded notation without exponentsA)5(1) + 6(10)B)5(10) + 6(100)C)5(100) + 6(10)D)5(10) + 6(1)39)40)7589, using expanded notation with exponentsF)7(103) + 5(102) + 8(101) + 9(100)G)7(100) + 5(101) + 8(102) + 9(103)H)7(104) + 5(103) + 8(102) + 9(101)J)7(101) + 5(102) + 8(103) + 9(104)40)4Answer KeyTestname: UNIT-2-PRACTICE-EXAM1)DObjective:(2.3) Rewrite Sum as Product of Factors2)JObjective:(2.3) Rewrite Sum as Product of Factors3)CObjective:(3.2) Round Number to Specified Accuracy4)HObjective:(3.2) Round Number to Specified Accuracy5)CObjective:(3.2) Estimate by Front-End Estimation6)HObjective:(2.3) Rewrite Division as Multiplication7)AObjective:(2.3) Rewrite Division as Multiplication8)FObjective:(2.4) Convert Nondecimal Numeral to BaseTen9)DObjective:(2.4) Convert Nondecimal Numeral to BaseTen10)FObjective:(2.4) Convert Nondecimal Numeral to BaseTen11)AObjective:(2.4) Convert Nondecimal Numeral to BaseTen12)GObjective:(2.4) Convert Base Ten Numeral to DifferentBase13)AObjective:(2.4) Convert Base Ten Numeral to DifferentBase14)HObjective:(2.4) Convert Base Ten Numeral to DifferentBase15)BObjective:(2.3) Identify Property of Multiplication16)JObjective:(2.3) Identify Property of Multiplication17)CObjective:(2.3) Identify Property of Multiplication18)GObjective:(2.3) Find Area of Rectangle19)CObjective:(2.3) Find Area of Rectangle20)GObjective:(2.3) Determine Whether Set is ClosedUnder Multiplication21)AObjective:(2.3) Determine Whether Set is ClosedUnder Multiplication22)JObjective:(2.2) Rewrite Subtraction as Addition23)CObjective:(3.2) Solve Apps: Estimation24)JObjective:(2.2) Find Union or Intersection of Sets25)DObjective:(2.3) Solve Apps: Multiplication and