Algebra And Modeling Functions And Modeling Statistics .
FSA Algebra 2End-of-CourseReview PacketAnswer KeyAlgebra and ModelingFunctions and ModelingStatistics, Probability, and theNumber System
FSA Algebra 2 EOC ReviewTable of ContentsAlgebra and Modeling . 4MAFS.912.A-APR.1.1 . 5Also assesses MAFS.912.A-APR.3.4. 5MAFS.912.A-APR.4.6 . 6Also assesses MAFS.912.A-APR.2.2. 6MAFS.912.A-CED.1.1 . 7Also assesses MAFS.912.A-REI.1.2, and MAFS.912.A-CED.1.4. 7MAFS.912.A-CED.1.2 . 9Also assesses MAFS.912.A-CED.1.3, MAFS.912.A-REI.3.6, and MAFS.912.A-REI.3.7. 9MAFS.912.A-REI.1.1 . 12MAFS.912.A-REI.4.11 . 13MAFS.912.A-SSE.2.3 . 14Also assesses MAFS.912.A-SSE.1.1 and MAFS.912.A-SSE.1.2 . 14MAFS.912.N-CN.3.7 . 15Also assesses MAFS.912.A-REI.2.4 . 15MAFS.912.G-GPE.1.2 . 16Functions and Modeling . 17MAFS.912.F-BF.1.2 . 18Also assesses MAFS.912.F-BF.1.1 and MAFS.912.A-SSE.2.4 . 18MAFS.912.F-BF.2.3 . 20MAFS.912.F-BF.2.4 . 23MAFS.912.F-IF.2.4 . 25Also assesses MAFS.912.F-IF.3.9, MAFS.912.F-IF.2.5, and MAFS.912.F-LE.2.5 . 25MAFS.912.F-IF.3.8 . 28Also assesses MAFS.912.A-APR.2.3, MAFS.912.F-IF.2.6, and MAFS.912.F-IF.3.7a, b, c, d, and e. . 28MAFS.912.F-LE.1.4 . 33Also assesses MAFS.912.F-BF.2.a . 33MAFS.912.F-TF.1.2 . 34Also assesses MAFS.912.F-TF.1.1 and MAFS.912.F-TF.3.8. 34MAFS.912.F-TF.2.5 . 35Statistics, Probability, and the Number System. 37MAFS.912.N-CN.1.2 . 38Also assesses MAFS.912.N-CN.1.1 . 38MAFS.912.N-RN.1.2 . 39Algebra and Modeling, Functions and Modeling, and Statistics, Probability, and the Number System – Student Packet2
FSA Algebra 2 EOC ReviewAlso assesses MAFS.912.N-RN.1.1 . 39MAFS.912.S-CP.1.1 . 40MAFS.912.S-CP.1.5 . 41Also assesses MAFS.912.S-CP.1.4, MAFS.912.S-CP.1.2, MAFS.912.S-CP.1.3, and MAFS.912.S-CP.2.6 . 41MAFS.912.S-CP.2.7 . 43MAFS.912.S-IC.1.1 . 44MAFS.912.S-IC.2.3 . 45Also assesses MAFS.912.S-IC.1.2, MAFS.912.S-IC.2.4, MAFS.912.S-IC.2.5, and MAFS.912.S-IC.2.6 . 45MAFS.912.S-ID.1.4 . 48APPENDIX Achievement Level Descriptions . 50Algebra and Modeling, Functions and Modeling, and Statistics, Probability, and the Number System – Student Packet3
FSA Algebra 2 EOC ReviewAlgebra andModelingAlgebra and Modeling, Functions and Modeling, and Statistics, Probability, and the Number System – Student Packet4
FSA Algebra 2 EOC ReviewMAFS.912.A-APR.1.1Also assesses MAFS.912.A-APR.3.41. What is the expanded form of() ?A.B.C.D.2. Algebraically prove that the difference of the squares of any two consecutive integers is an odd integer.Let x equal the first integer andinteger.equal the next.is an odd3. Dennis used a method for squaring two-digit numbers that end in 5. The method states to find the values that end in0 before and after this number, multiply them and combine the result with the square of 5. If x represents the twodigit number to be squared, which of the following polynomial identities can be used to justify this method?((((A.B.C.D.and (4. SupposeA.B.C.D.)))()())). What is?31236815. Determine if the set of polynomials is closed under division. Explain why or why not.A. The set of polynomials is closed under division.Just as multiplication is repeated addition, division is repeated subtraction. Since polynomials are closed undersubtraction, they are also closed under division.B. The set of polynomials is not closed under division.Let ( ) and ( ) be polynomial expressions where ( ) is not equal to zero.Then( )( )is undefined if ( ). In this case,( )( )is not a rational expression, so the set of polynomials is notclosed under division.C. The set of polynomials is closed under division.Since the set of polynomials is closed under multiplication, and division is the inverse operation formultiplication, the set of polynomials is also closed under division.D. The set of polynomials is not closed under division.Let ( ) and ( ) be polynomial expressions where ( ) is not equal to zero.By the definition of polynomial expressions,( )( )is not a polynomial expression, so the set of polynomials is notclosed under division. (The quotient of two polynomial expressions is a rational expression.)Algebra and Modeling, Functions and Modeling, and Statistics, Probability, and the Number System – Student Packet5
FSA Algebra 2 EOC ReviewMAFS.912.A-APR.4.6Also assesses MAFS.912.A-APR.2.21. Which expression showsin simplest form?A.B.C.D.2. The expressionequalsA.B.C.D.3. If is a constant, what is the value ofanswer in the box.such that the polynomialis divisible by? Enter your34. If dividing the polynomial ( ) by (A.B.C.D.) yields a remainder of -11, which of the following is true?()()( )( )5. Use an appropriate procedure to show that (Explain your answer.( )( )( )) is a factor of the function ( )( )Algebra and Modeling, Functions and Modeling, and Statistics, Probability, and the Number System – Student Packet6
FSA Algebra 2 EOC ReviewMAFS.912.A-CED.1.1Also assesses MAFS.912.A-REI.1.2, and MAFS.912.A-CED.1.41. John is buying a car for 8,000. The value of the car will decrease by 5% each year. Which equation can he use topredict the value of the car after 3 years?((((A.B.C.D.))))2. After sitting out of the refrigerator for a while, a turkey at room temperature (68 F) is placed into an oven at 8 a.m.,when the oven temperature is 325 F. Newton’s Law of Heating explains that the temperature of the turkey willincrease proportionally to the difference between the temperature of the turkey and the temperature of the oven,as given by the formula below:()the temperature surrounding the object.the initial temperature of the object.the time in hoursthe temperature of the object after hoursdecay constant.The turkey reaches the temperature of approximately 100 F after 2 hours. Find the value of , to the nearestthousandth, and write an equation to determine the temperature of the turkey after hours. Determine theFahrenheit temperature of the turkey, to the nearest degree, at 3 p.m.3. The period for a pendulum to complete one swing is , the time in seconds. The period can be approximated by theformula , whereis the length of the pendulum in meters. If the period of a pendulum is 2.5 seconds,which is closest to the length of the pendulum?A.B.C.D.1.55 meters3.17 meters3.90 meters9.76 meters4. What is the solution to ?A.B.C.D.Algebra and Modeling, Functions and Modeling, and Statistics, Probability, and the Number System – Student Packet7
FSA Algebra 2 EOC Review5. What nonzero value of x is a solution to the following equation?A.B.C.D.6. Solve algebraically for all values of : 𝑥𝑎𝑛𝑑 ; 𝑖𝑠 𝑎𝑛 𝑒𝑥𝑡𝑟𝑎𝑛𝑒𝑜𝑢𝑠 𝑠𝑜𝑙𝑢𝑡𝑖𝑜𝑛7. What extraneous solution arises when the equation equation?Enter your answer in the box.is solved forby first squaring both sides of the-0.758. Determine the solution(s) of the equation.Select ALL that apply.xAlgebra and Modeling, Functions and Modeling, and Statistics, Probability, and the Number System – Student Packet8
FSA Algebra 2 EOC ReviewMAFS.912.A-CED.1.2Also assesses MAFS.912.A-CED.1.3, MAFS.912.A-REI.3.6, and MAFS.912.A-REI.3.71. Barry is planning to raise some money for his senior dues. He will sell sports drinks, , for 1.65 each and granola bars,, for 0.85 each. Which equation models how much money, Barry will raise from his sales?A.B.C.(D.)()2. Which system of inequalities is best represented by the shaded region of this graph?A. {B. {C. {D. {3. Which ordered pair is a solution to this system of equations?{A.B.C.D.(((())))Algebra and Modeling, Functions and Modeling, and Statistics, Probability, and the Number System – Student Packet9
FSA Algebra 2 EOC Review4.Which graph represents the solution set to the system(A.B.C.D.)and?5. What is the value of in the solution of the system of linear equations?{Enter your answer in the box.2Algebra and Modeling, Functions and Modeling, and Statistics, Probability, and the Number System – Student Packet10
FSA Algebra 2 EOC Review6. Solve the system:{A.B.C.D.(((())))7. How many points of intersection does the given system of equations have?{A.B.C.D.noneonetwoinfinitely many8. What is the solution set for the following system of equations?{A.B.C.D.{({({({()()()()()})})})}Algebra and Modeling, Functions and Modeling, and Statistics, Probability, and the Number System – Student Packet11
FSA Algebra 2 EOC ReviewMAFS.912.A-REI.1.11. What process was used to obtain the equation shown in Step 2?Step 1:Step 2:A.B.C.D.Added to both sides of the equation.Added 58 to both sides of the equation.Multiplied both sides of the equation by 30.Divide both sides of the equation by 30.2. The steps used to solve an equation are shownWhat property justifies the work between Step 4 and Step 5?A.B.C.D.Identity property of multiplicationInverse property of multiplicationCommutative property of multiplicationAssociative property of multiplicationAlgebra and Modeling, Functions and Modeling, and Statistics, Probability, and the Number System – Student Packet12
FSA Algebra 2 EOC ReviewMAFS.912.A-REI.4.111. Given the functions ( )( )( )?Select ALL that apply. and( ), which intervals contain a value offor whichx2. Let ( )A.B.C.D.–{{{{and g(x) 2x 7. Which is the solution set to the equation( )( )}}}}3. What is the point of intersection for ( )A. ()B. ()C. ()D. ()and ( )( ) ?Algebra and Modeling, Functions and Modeling, and Statistics, Probability, and the Number System – Student Packet13
FSA Algebra 2 EOC ReviewMAFS.912.A-SSE.2.3Also assesses MAFS.912.A-SSE.1.1 and MAFS.912.A-SSE.1.21. A scientist places 7.35 grams of a radioactive element in a dish. The half-life of the element is 2 days. Afterthe number of grams of the element remaining in the dish is given by the function ( )statement is true about the equation when it is rewritten without a fractional exponent?Select ALL that apply.An approximately equivalent equation is ( )() .An approximately equivalent equation is ( )() .days,( ) . WhichThe base of the exponent in this form of the equation can be interpreted to mean that the element decays by0.250 grams per day.The base of the exponent in this form of the equation can be interpreted to mean that the element decays by0.707 grams per day.The base of the exponent in this form of the equation can be interpreted to mean that about 25 /o of theelement remains from one day to the next day.The base of the exponent in this form of the equation can be interpreted to mean that about 70.7 /o of theelement remains from one day to the next day.2. Which equation is equivalent to the equation shown? Select the correct answer.A.B.C.D.3. The expression ()What is the value of ?Enter your answer in the box.() can be written in the form () (), whereis a constant.44. What is the completely factored form ofA.B.C.D.(((()()()()()()()()()()()()())))Algebra and Modeling, Functions and Modeling, and Statistics, Probability, and the Number System – Student Packet14
FSA Algebra 2 EOC ReviewMAFS.912.N-CN.3.7Also assesses MAFS.912.A-REI.2.41. What are the complex solutions to the following equation:A.B.C.D. 2. What values ofmake this equation true?()A.B.C.D.3. The equation–is rewritten in the form of ( – ). What is the value of ?A.B.C.D.4. The solutions to the equationA.B.C.D.5. Solveare over the set of complex numbers.A.B.C.D.Algebra and Modeling, Functions and Modeling, and Statistics, Probability, and the Number System – Student Packet15
FSA Algebra 2 EOC ReviewMAFS.912.G-GPE.1.21. Which equation represents all points, (( )?A.B.C.D.(((())))((((), that are equidistant from (–) and the line containing ( – ) and))))2. Which equation represents a parabola with a focus of () and a directrix of?A.B.C.D.3. A parabola has focus at (A.B.C.D.) and vertex at the origin. Which could be the equation of the directrix?––Algebra and Modeling, Functions and Modeling, and Statistics, Probability, and the Number System – Student Packet16
FSA Algebra 2 EOC ReviewFunctions andModelingAlgebra and Modeling, Functions and Modeling, and Statistics, Probability, and the Number System – Student Packet17
FSA Algebra 2 EOC ReviewMAFS.912.F-BF.1.2Also assesses MAFS.912.F-BF.1.1 and MAFS.912.A-SSE.2.41. Which equation can be used to find the nth term for the sequence below?2, 5, 10, 17, .t termn term numberA.B.C.D.2. Paul started to train for a marathon. The table shows the number of miles Paul ran during each of the first threeweeks after he began training.If this pattern continues, which of the listed statements could model the number of miles Paul runsthe number of weeks, , after he began training? Select ALL that apply.(x(, in terms of))3. Every day commuting to and from work, Jay drives his car a total of 45 miles. His car already has 2,700 miles on it.Which function shows the total number of miles Jay's car will have been driven after n more days?A.B.C.D.(((())))4. The functions(( )A.B.C.D.((((are defined by ( )and) ()and ( ), respectively. Which equation is equivalent to?))))Algebra and Modeling, Functions and Modeling, and Statistics, Probability, and the Number System – Student Packet18
FSA Algebra 2 EOC Review5. A board is made up of 9 squares. A certain number of pennies is placed in each square, following a geometricsequence. The first square has 1 penny, the second has 2 pennies, the third has 4 pennies, etc. When every squareis filled, how many pennies will be used in total?A.B.C.D.512511256816. DeShawn is in his fifth year of employment as a patrol officer for the Metro Police. His salary for his first year ofemployment was 47,000. Each year after the first, his salary increased by 4% of his salary the previous year.Part AWhat is the sum of DeShawn's salaries for his first five years of service?A.B.C.D. 101,983 188,000 219,932 254,567Part BIf DeShawn continues his employment at the same rate of increase in yearly salary, for which year will the sum ofhis salaries first exceed 1,000,000? Give your answer to the nearest integer.Enter your answer in the box.7. Monthly mortgage payments can be found using the formula below:(()()) monthly payment amount borrowed annual interest rate number of monthly paymentsThe Banks family would like to borrow 120,000 to purchase a home. They qualified for an annual interest rate of. Algebraically determine the fewest number of whole years the Banks family would need to include in themortgage agreement in order to have a monthly payment of no more than 720.𝑦𝑒𝑎𝑟𝑠Algebra and
Review Packet Answer Key Algebra and Modeling Functions and Modeling Statistics, Probability, and the Number System . FSA Algebra 2 EOC Review Algebra and Modeling, Functions and Modeling, and Statistics, Probability, and the Number System – Student Packet 2 Table of Contents
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Jun 20, 2016 · FSA Algebra 2 EOC Review Algebra and Modeling, Functions and Modeling, and Statisti
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