Month Price Month Price January February March April May June. July August September October November December

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1 . Gas prices at a local gas station for the year are as follows: Month Price Month Price January February March pril May June July ugust September October November ecember Which type of function best models the data? eponential logarithmic polynomial rational Page Published October 003. May reproduce for instructional and

2 . Thomas rented a van for $75 a day plus $0.5 for each mile that he would go over 3,000 miles. How can Thomas represent the cost,, of renting the van for d days and driving for mmiles 3,000? ( m ) = 75d+ 0.5( m 3,000) = 75d+ 0.5( m+ 3,000) = 75d+ 5( m 3,000) = 75d+ 5( m+ 3,000) 3. Which set contains the zeros of f () = 3? + 4 { 6, 4} {,} { 6,4} {, } Page Published October 003. May reproduce for instructional and

3 4. The graph shows the relationship between hours spent studying and the test score obtained Hours of Study Which statement best describes this relationship? The time spent studying is inversely proportional to the square root of the test scores. The time spent studying is the dependent variable, and the test score is the independent variable. The time spent studying is inversely proportional to test scores. The time spent studying is the independent variable, and the test score is the dependent variable. Page 3 Published October 003. May reproduce for instructional and

4 5. The ce Insurance ompany has a special plan for safe drivers. For each year that a driver has no tickets or violations, the premium is reduced by 0% and a credit of $5.00 is awarded. Which equation shows the amount a driver with no tickets or violations owes in the ( n + ) th year as a function of the amount owed in the nth year? f( n ) f( n) f( n) + = f( n ) f( n) f( n) + = = f( n ) f( n) f( n) 6. building contractor is hired to build a rectangular deck. The length needs to be 5 feet less than twice the width ( w). His budget is not to eceed $4,000. The cost to build the deck is $5 per square foot. Which relation models the situation? 50w -5w - 4, w -5w - 4,000 0 w - 5w - 4,000 0 w - 5w - 4,000 0 f( n ) f( n) f( n) + = Page 4 Published October 003. May reproduce for instructional and

5 7. n oygen mask is placed on a patient. Oygen is administered to the patient for 5 minutes. Then the oygen mask is removed and the amount of oygen in the body decreases eponentially. Which graph best describes the amount of oygen in the patient s bloodstream beginning with the moment when oygen is first administered? Time in Minutes Time in Minutes Time in Minutes Time in Minutes Page 5 Published October 003. May reproduce for instructional and

6 8. Three consecutive integers are such that the sum of the first integer and the product of the other two is 6. Which equation could be used to find the integers? = 6 = = = 6 Page 6 Published October 003. May reproduce for instructional and

7 9. The graph of y = f( ) is given. y ( ) Which is the graph of y = f +? y y y y Page 7 Published October 003. May reproduce for instructional and

8 0. What are the zeros of f = ? ( ) 4 3 =, = 3 = 0, = 3. bo of laundry detergent sells for $3.5. The price the store pays is determined by the function ( ) f =, where is the selling price of the detergent. The wholesale = 0, =, = 3 = 0, =, =, = 3 price is determined by g 3 ( ) =, where is the price the store pays. What is the wholesale price? 4 $.5. model rocket is fired upward at an initial velocity v0 of 40 ft/s. The height ht ( ) of the rocket is a function of time t in seconds and is given by the formula ht ( ) = vt 0 t will it take the rocket to hit the ground after takeoff? 6. How long $.50 $.5 $.50 6 seconds 5 seconds 4. Which of the following is the inverse of f ( ) = 3? seconds 4 seconds f ( ) f ( ) = = If f = and g =, what. ( ) ( ) is f g( )? ( ) f ( ) y 3 = f ( ) 5 y 3 = Page 8 Published October 003. May reproduce for instructional and

9 5. f( ) If = + 3, at what point do ( ) and ( ) the graphs of y = f y = f intersect? (.5, 0) ( 0,.5) 7. The Gardners wish to double the area of their 6-by-4-foot garden by adding an equal amount to each dimension. How much should be added to each dimension? foot ( 3, 3) ( 3, 0) foot feet 4 feet 6. What are the approimate solutions to the following equation? = 0 { 0.9,.4} { 0.4,.9} { 0.4,.9} { 0.9,.4} 8. Solve: = 0 { + i 5, -i 5} { + 6, i -6i} { + 3, - 3} { + 3, - 3} Page 9 Published October 003. May reproduce for instructional and

10 9. Solve: = Ï Ì Ó Ï Ì Ó 7+ 73, , 7-73 { }, 3 { 3 },. The director of a local preschool plans to enclose a rectangular area for a playground. One side will be the side of the building itself. If 60 feet of fence are to be used, what is the maimum area that can be enclosed? 575 ft 450 ft 400 ft 5 ft 0. ball is thrown upward. Its height ( h, in feet) is given by the function , where is the h= t + t+ t length of time (in seconds) that the ball has been in the air. What is the maimum height that the ball reaches? 3 ft. What is the largest value that can be obtained by multiplying two real numbers whose sum is 3? (Round your answer to two decimal places.) ft 63 ft 67 ft 3. What are the dimensions of a rectangle having the greatest area with a perimeter of 0 feet? 5 feet by 5 feet 0 feet by 0 feet 6 feet by 4 feet 5 feet by 5 feet Page 0 Published October 003. May reproduce for instructional and

11 4. What are the approimate zeros of the function f = 3 +? ( ) 3 { 3, } { 4,0} 6. company s total revenue R (in millions of dollars) is related to its epenses by the equation 3 R = 4 6 +, where is the amount of epenses (in tens of thousands of dollars). What values of will produce zero revenue? {.,0.3,.9} = 0, =, = 3 {.,0.,3.0} =, = 3, = 4 =, = 3 = 0, =, = 3 5. What is the approimate positive zero of P = 5 6? ( ) Page Published October 003. May reproduce for instructional and

12 7. Mr. Greene has 8.5 in. by in. cardboard sheets. s a class project, Mr. Greene asked each of his students to make an open-top bo under these conditions: I) Each bo must be made by cutting small squares from each corner of a cardboard sheet. 3 II) The bo must have a volume of 48 in. III) The amount of cardboard waste must be minimized. Which is the approimate side length for the small squares that would be cut from the cardboard sheet? 3.65 in..66 in. 0.7 in in. Page Published October 003. May reproduce for instructional and

13 8. The height, ht ( ) ( ), in feet, of an object shot from a cannon with initial velocity of 0 feet per second can be modeled by the equation ht = 6t + 0t + 6, where tis the time, in seconds, after the cannon is fired. What is the maimum altitude that the object reaches? 3.5 feet.5 feet 0.5 feet.5 feet 30. company found that its monthly profit, P, is given by P = where is the selling price for each unit of product. Which of the following is the best estimate of the maimum price that the company can charge without losing money? $300.4 $0.00 $0.58 $ With respect to which line is the graph of f = symmetric? ( ) 4 = 0 y = 0 y = = 6 Page 3 Published October 003. May reproduce for instructional and

14 3. fast-food restaurant has hired a company to design a trash can that is in the shape of a cylinder ( V = π r h ) 3 ( V = π r 3 ) with a hemispherical top. The can must be 4 feet tall and hold a volume of 4 cubic feet. 3. If 3 + i is a solution for + + = 0, where and are real numbers, what is the value of b? b c b c ft r What is the approimate radius the designer should plan to use for the trash can? 5.5 in. 6.9 in. 8.4 in. 9.3 in. Page 4 Published October 003. May reproduce for instructional and

15 33. Which is the polynomial for the given graph? y 34. Which quadratic equation has roots + 5 and - 5? = = = = 0 P( ) = ( )( 8)( + )( + 4) P ( ) = ( )( + ) ( + 4) P( ) = ( + )( + 8)( )( 4) P ( ) = ( + )( ) ( 4) Page 5 Published October 003. May reproduce for instructional and

16 35. Which cubic polynomial best describes the data in the table? y y = y = y = y = Page 6 Published October 003. May reproduce for instructional and

17 36. What are the vertical and horizontal asymptotes (if any) of f( ) =? + + y = = 5, = = 0.5, = 6.5 y = Solve: = { 3 } { 5 } {} { 5 } 37. Which of the following is a horizontal asymptote of f ( ) =? 6 = 4 y = 4 = y = 0 Page 7 Published October 003. May reproduce for instructional and

18 39. Solve: 7 = Step ( )( ) 5 5 ( + )( ) ( + )( ) = ( ) Step Step ( )( ) 7 = 3 Step Step = 0 Step 6 = or = Step 7 + = = = What justifies going from step 6 to step 7 in the solution? 8 The original equation is defined at = and =. 7 8 The original equation is not defined at =. 7 The original equation is defined at =. The original equation is not defined at =. Page 8 Published October 003. May reproduce for instructional and

19 40. Which of the following is equivalent to y = 8 + 6? 43. What should be the first step in solving the equation 3 = 4? y = + 4 Square both sides. y = 4 ivide both sides by. y = + 4 y = 4 Raise both sides to the power. 3 ube both sides. 4. Solve: = 4 { 4} { 4 }, {,4} no solution 4. Solve: = { 3,4} { 3,5} { 4,5} { 4,6} 44. Solve: y = y = 5 5, 0 {( ),(,5) 3 3 }, 0 {( ),(,5) 3 3 } {(, ) ( )} 0,, {(, ) ( )} 0,, Page 9 Published October 003. May reproduce for instructional and

20 45. John and his father each own a boat for bass fishing. The motor on one boat takes regular gasoline, and the other needs premium. John records the following information in his epense book: 46. For a campaign, a company gave away 5,000 toys to children. Toys and y cost the company $.9 and $0.98, respectively. The company spent a total of $5,63. How many of toy did the company give away? Regular 3 gal Premium gal ost $7.35 9,000 gal 4 gal $7.75,00 What is the cost of one gallon of premium gasoline?,300 $.9 $.39 $.49 $.59 Page 0 Published October 003. May reproduce for instructional and

21 47. Two pickup trucks have capacities 4 of ton and ton. They made a total of 8 round trips to haul 7 of crushed rock to a job site. Which matri equation could be used to determine how many round trips each truck made? 8 È È È Í4 Í = Í 7 y ÍÎ Î ÍÎ tons 48. Specialty Furniture can produce a maimum of 400 tables and chairs each week. t least 5 tables and 00 chairs must be produced each week. The profit on each table is $350 and the profit on each chair is $75. What is the maimum profit that can be generated weekly? $6,50 $36,875 È È È 7 Í4 = Í Í y ÍÎ Î ÍÎ8 $98,750 $,500 È 4 È8 Í È = Í Í Í Î y Í 7 ÍÎ Î È 4 È 7 Í È = Í Í Í Î y Í8 ÍÎ Î Page Published October 003. May reproduce for instructional and

22 49. Students plan to spend 300 hours preparing and 50 hours packaging popcorn for sale. The student council has $60 for supplies. The table below gives data on the time and money required to purchase materials and produce the finished product. Plain Popcorn aramel Popcorn Preparation Time (per lb) Packaging Time (per lb) Material osts (per lb) 0. hr 0. hr $ hr 0.45 hr $0.40 The students want to set up a linear program to assist them in this project. Given that = pounds of plain popcorn and y= pounds of caramel popcorn, what should be the constraints of this situation? y y y and y y y y 60 0 and y y y y 60 0 and y y y y 60 Page Published October 003. May reproduce for instructional and

23 50. n art store sells framed photographs and prints. It buys the photos and prints from a supplier, but it makes its own frames. Each photograph costs the store $0 and requires hours of framing time. Each print costs the store $5 and requires 5 hours for framing. The store has $400 to spend and 60 hours of framing time. It makes a profit of $0 on each framed photo and a profit of $40 on each framed print. How many photographs and prints should the store buy to maimize its profit? 5. The graph of the inequality y < is shown. y 0 photographs and no prints 0 photographs and 8 prints 8 photographs and 0 prints no photographs and 0 prints Which statement eplains how this graph can be used to solve the one-variable inequality <? 5. survey at a local high school shows 8.6% of the students read the newspaper. Results of surveys of this size can be off by as much as.5 percentage points. Which inequality describes the results? > > 0.05 Intersect the given graph with that of y = to obtain the solutions < or > 3. Intersect the given graph with that of y = to obtain the solutions > or < 3. Intersect the given graph with that of y = 4 to obtain the solutions < or > 3. Intersect the given graph with that of y = to obtain the solutions = or = 3. Page 3 Published October 003. May reproduce for instructional and

24 53. For y= , which set describes when y< 8? { 3< < 4} { 3< < 0} { < 3 or > 4} { < 3 or > 0} kilograms of a substance has a half -life of 50 years. If the graph of its decay function is represented by y = ab where is the number of 50-year periods, what are the values of a and b? a = 00 and b = 50 a = 00 and b = 0.5 a = 50 and b = 0.5 a = 50 and b = For y =, which set describes when y 3? { 3} { 3} { 3 or 3 } { 3 3 } Page 4 Published October 003. May reproduce for instructional and

25 56. Which equation best fits the data in the given table? Number of Half-Lives y = 4,000( ) Remaining mount of Substance (in grams) 4,000,000, In 984, the population of Greensboro, N.. was 97,90. ccording to the U.S. ensus ureau, Greensboro has been growing at the rate of 6.9% annually since 984. What equation models the population of Greensboro t years after 984? y = ( + ) 97, t y = ( + ) 97,90 69 t y = ( + ) 97, t y = ( + ) 97, t y =,000( ) y = ( ) 4,000 y = ( ),000 Page 5 Published October 003. May reproduce for instructional and

26 58. The equation c = 53,430(.93) models United States copper production in pounds from Which statement best interprets the coefficient and base of this equation? The copper production in 987 was 53,430 pounds, and it had been increasing at a rate of.93% per year during that period. The copper production in 987 was 53,430 pounds, and it had been increasing at a rate of 9.3% per year during that period. t m 60. If 7 = 6, what is m? m = log 6 log7 m = log 6 log 7 m m = = log7 log 6 6 log 7 The copper production increased by a factor of 53, pounds per year during that period. The copper production at the beginning of 987 was at.93 pounds, and it had been increasing by a factor of 53,430 pounds per year during that period. 6. = ( + ) Solve y log 5 3 for. 5 = 0 y ( - 3) = ( y -3) 5 y = ( - ) Which of the following is the logarithmic form of the equation y = 3 0? = 50 ( y - 3) log0 y = 3 log 3 0 = y log 3 y = 0 3 log0 ( ) = y Page 6 Published October 003. May reproduce for instructional and

27 6. savings account pays interest that is compounded continuously using rt the formula = Pe, where P is the initial amount of the investment and is the amount in the account after t years at a constant annual interest rate, r. Which is the correct equation for calculating t? t = r Pe t P e = r 64. The air pollution, Pt ( ), in the Southwest has been growing according to the ( ) 0.3 function Pt ( ) = , where P(0) is the pollution level in 995 and t is time in years. What was the approimate percent change in the air pollution levels between 997 and 998? 4% 3% 55% t t = ln + ln P re 76% t = ln ln P r 65. n $8,000 car depreciates at a rate of 6% per year. How old will the car be when it is worth $,000? 63. y = ( ) If 4.6, what is the approimate value of when y =? year.3 years.6 years 3 years Page 7 Published October 003. May reproduce for instructional and

28 66. lan deposited $300 in an account that pays 6% interest compounded continuously. pproimately how long will it take for lan s money to rt triple? (Use the formula = Pe where is the accumulated amount, P is the initial amount, r is the annual rate of interest, and t is the elapsed time in years.) 7.95 years.55 years 8.3 years 3.0 years End of Goal 3 Sample Items Page 8 Published October 003. May reproduce for instructional and

29 Goal 3 nswers to EO lgebra II Sample Items. Objective 3.0 escribe graphically, algebraically and verbally real-world phenomena as functions; identify the independent and dependent variables. Thinking Skill: Integrating orrect nswer:. Objective 3.0 escribe graphically, algebraically and verbally real-world phenomena as functions; identify the independent and dependent variables. Thinking Skill: nalyzing orrect nswer: 3. Objective 3.0 escribe graphically, algebraically and verbally real-world phenomena as functions; identify the independent and dependent variables. Thinking Skill: pplying orrect nswer: 4. Objective 3.0 escribe graphically, algebraically and verbally real-world phenomena as functions; identify the independent and dependent variables. Thinking Skill: nalyzing orrect nswer: 5. Objective 3.0 Translate among graphic, algebraic and verbal representations of relations. Thinking Skill: nalyzing orrect nswer: 6. Objective 3.0 Translate among graphic, algebraic and verbal representations of relations. Thinking Skill: pplying orrect nswer: 7. Objective 3.0 Translate among graphic, algebraic and verbal representations of relations. Thinking Skill: nalyzing orrect nswer: 8. Objective 3.0 Translate among graphic, algebraic and verbal representations of relations. Thinking Skill: Integrating orrect nswer: 9. Objective 3.03 Graph relations and functions and find the zeros of functions. Thinking Skill: nalyzing orrect nswer: 0. Objective 3.03 Graph relations and functions and find the zeros of functions. Thinking Skill: pplying orrect nswer:. Objective 3.03 Graph relations and functions and find the zeros of functions. Thinking Skill: pplying orrect nswer: North arolina Testing Program Published October 003. May reproduce for instructional and educational purposes only; not for personal or financial gain.

30 Goal 3 nswers to EO lgebra II Sample Items. Objective 3.04 Find the composition and inverse of functions. Thinking Skill: pplying orrect nswer: 3. Objective 3.04 Find the composition and inverse of functions. Thinking Skill: pplying orrect nswer: 4. Objective 3.04 Find the composition and inverse of functions. Thinking Skill: Integrating orrect nswer: 5. Objective 3.04 Find the composition and inverse of functions. Thinking Skill: pplying orrect nswer: 6. Objective 3.05 Use quadratic equations and inequalities to solve problems. Solve by: a) Graphing. b) Factoring. c) ompleting the square. d) Using the quadratic formula. e) Using properties of equality; justify steps needed. Thinking Skill: pplying orrect nswer: 7. Objective 3.05 Use quadratic equations and inequalities to solve problems. Solve by: a) Graphing. b) Factoring. c) ompleting the square. d) Using the quadratic formula. e) Using properties of equality; justify steps needed. Thinking Skill: pplying orrect nswer: 8. Objective 3.05 Use quadratic equations and inequalities to solve problems. Solve by: a) Graphing. b) Factoring. c) ompleting the square. d) Using the quadratic formula. e) Using properties of equality; justify steps needed. Thinking Skill: pplying orrect nswer: 9. Objective 3.05 Use quadratic equations and inequalities to solve problems. Solve by: a) Graphing. b) Factoring. c) ompleting the square. d) Using the quadratic formula. e) Using properties of equality; justify steps needed. Thinking Skill: pplying orrect nswer: 0. Objective 3.06 Find and interpret the maimum and minimum values and the intercepts of a quadratic function. Thinking Skill: pplying orrect nswer: North arolina Testing Program Published October 003. May reproduce for instructional and educational purposes only; not for personal or financial gain.

31 Goal 3 nswers to EO lgebra II Sample Items. Objective 3.06 Find and interpret the maimum and minimum values and the intercepts of a quadratic function. Thinking Skill: pplying orrect nswer:. Objective 3.06 Find and interpret the maimum and minimum values and the intercepts of a quadratic function. Thinking Skill: nalyzing orrect nswer: 3. Objective 3.06 Find and interpret the maimum and minimum values and the intercepts of a quadratic function. Thinking Skill: Integrating orrect nswer: 4. Objective 3.07 Use polynomial equations (up to 4th degree) to solve problems. Solve by: a) Graphing. b) Factoring. c) Using properties of equality; justify steps used. Thinking Skill: nalyzing orrect nswer: 5. Objective 3.07 Use polynomial equations (up to 4th degree) to solve problems. Solve by: a) Graphing. b) Factoring. c) Using properties of equality; justify steps used. Thinking Skill: nalyzing orrect nswer: 6. Objective 3.07 Use polynomial equations (up to 4th degree) to solve problems. Solve by: a) Graphing. b) Factoring. c) Using properties of equality; justify steps used. Thinking Skill: pplying orrect nswer: 7. Objective 3.07 Use polynomial equations (up to 4th degree) to solve problems. Solve by: a) Graphing. b) Factoring. c) Using properties of equality; justify steps used. Thinking Skill: Integrating orrect nswer: 8. Objective 3.08 Find zeros, intercepts, and approimate the turning points of polynomial functions; describe them in the contet of the problem. Thinking Skill: Integrating orrect nswer: 9. Objective 3.08 Find zeros, intercepts, and approimate the turning points of polynomial functions; describe them in the contet of the problem. Thinking Skill: Integrating orrect nswer: North arolina Testing Program Published October 003. May reproduce for instructional and educational purposes only; not for personal or financial gain.

32 Goal 3 nswers to EO lgebra II Sample Items 30. Objective 3.08 Find zeros, intercepts, and approimate the turning points of polynomial functions; describe them in the contet of the problem. Thinking Skill: Integrating orrect nswer: 3. Objective 3.08 Find zeros, intercepts, and approimate the turning points of polynomial functions; describe them in the contet of the problem. Thinking Skill: Integrating orrect nswer: 3. Objective 3.09 Write a polynomial equation given its solutions. Thinking Skill: Integrating orrect nswer: 33. Objective 3.09 Write a polynomial equation given its solutions. Thinking Skill: nalyzing orrect nswer: 34. Objective 3.09 Write a polynomial equation given its solutions. Thinking Skill: Generating orrect nswer: 35. Objective 3.09 Write a polynomial equation given its solutions. Thinking Skill: Integrating orrect nswer: 36. Objective 3.0 Use rational equations to solve problems. Solve by: a) Graphing; identify the asymptotes and intercepts. b) Factoring. c) Finding the zeros and asymptotes through analysis of the polynomials in the numerator and denominator. d) Using properties of equality; justify steps used. Thinking Skill: Integrating orrect nswer: 37. Objective 3.0 Use rational equations to solve problems. Solve by: a) Graphing; identify the asymptotes and intercepts. b) Factoring. c) Finding the zeros and asymptotes through analysis of the polynomials in the numerator and denominator. d) Using properties of equality; justify steps used. Thinking Skill: nalyzing orrect nswer: 38. Objective 3.0 Use rational equations to solve problems. Solve by: a) Graphing; identify the asymptotes and intercepts. b) Factoring. c) Finding the zeros and asymptotes through analysis of the polynomials in the numerator and denominator. d) Using properties of equality; justify steps used. Thinking Skill: pplying orrect nswer: North arolina Testing Program Published October 003. May reproduce for instructional and educational purposes only; not for personal or financial gain.

33 Goal 3 nswers to EO lgebra II Sample Items 39. Objective 3.0 Use rational equations to solve problems. Solve by: a) Graphing; identify the asymptotes and intercepts. b) Factoring. c) Finding the zeros and asymptotes through analysis of the polynomials in the numerator and denominator. d) Using properties of equality; justify steps used. Thinking Skill: nalyzing orrect nswer: 40. Objective 3. Use equations which contain radical epressions to solve problems. Solve by: a) Graphing. b) Factoring. c) Using properties of equality; justify steps used. Thinking Skill: Integrating orrect nswer: 4. Objective 3. Use equations which contain radical epressions to solve problems. Solve by: a) Graphing. b) Factoring. c) Using properties of equality; justify steps used. Thinking Skill: pplying orrect nswer: 4. Objective 3. Use equations which contain radical epressions to solve problems. Solve by: a) Graphing. b) Factoring. c) Using properties of equality; justify steps used. Thinking Skill: pplying orrect nswer: 43. Objective 3. Use equations which contain radical epressions to solve problems. Solve by: a) Graphing. b) Factoring. c) Using properties of equality; justify steps used. Thinking Skill: nalyzing orrect nswer: 44. Objective 3. Use systems of two or more equations to solve problems. Solve by: a) Elimination and/or substitution. b) Graphing. c) Using matri equations of the form X =. Thinking Skill: pplying orrect nswer: 45. Objective 3. Use systems of two or more equations to solve problems. Solve by: a) Elimination and/or substitution. b) Graphing. c) Using matri equations of the form X =. Thinking Skill: pplying orrect nswer: 46. Objective 3. Use systems of two or more equations to solve problems. Solve by: a) Elimination and/or substitution. b) Graphing. c) Using matri equations of the form X =. Thinking Skill: pplying orrect nswer: 47. Objective 3. Use systems of two or more equations to solve problems. Solve by: a) Elimination and/or substitution. b) Graphing. c) Using matri equations of the form X =. Thinking Skill: nalyzing orrect nswer: North arolina Testing Program Published October 003. May reproduce for instructional and educational purposes only; not for personal or financial gain.

34 Goal 3 nswers to EO lgebra II Sample Items 48. Objective 3.3 Use linear programming with systems of three or more inequalities to solve problems. Thinking Skill: pplying orrect nswer: 49. Objective 3.3 Use linear programming with systems of three or more inequalities to solve problems. Thinking Skill: pplying orrect nswer: 50. Objective 3.3 Use linear programming with systems of three or more inequalities to solve problems. Thinking Skill: pplying orrect nswer: 5. Objective 3.4 Use equations and inequalities with absolute value to solve problems by: a) Locating points on the number line. b) Locating points on the coordinate plane. c) Using properties of equality; justify steps used. Thinking Skill: nalyzing orrect nswer: 5. Objective 3.4 Use equations and inequalities with absolute value to solve problems by: a) Locating points on the number line. b) Locating points on the coordinate plane. c) Using properties of equality; justify steps used. Thinking Skill: Generating orrect nswer: 53. Objective 3.4 Use equations and inequalities with absolute value to solve problems by: a) Locating points on the number line. b) Locating points on the coordinate plane. c) Using properties of equality; justify steps used. Thinking Skill: pplying orrect nswer: 54. Objective 3.4 Use equations and inequalities with absolute value to solve problems by: a) Locating points on the number line. b) Locating points on the coordinate plane. c) Using properties of equality; justify steps used. Thinking Skill: nalyzing orrect nswer: 55. Objective 3.5 Write and graph eponential functions of the form f() = ab. Thinking Skill: Integrating orrect nswer: 56. Objective 3.5 Write and graph eponential functions of the form f() = ab. Thinking Skill: pplying orrect nswer: 57. Objective 3.5 Write and graph eponential functions of the form f() = ab. Thinking Skill: nalyzing orrect nswer: North arolina Testing Program Published October 003. May reproduce for instructional and educational purposes only; not for personal or financial gain.

35 Goal 3 nswers to EO lgebra II Sample Items 58. Objective 3.5 Write and graph eponential functions of the form f() = ab. Thinking Skill: nalyzing orrect nswer: 59. Objective 3.6 Recognize as inverses the eponential and logarithmic functions. Thinking Skill: nalyzing orrect nswer: 60. Objective 3.6 Recognize as inverses the eponential and logarithmic functions. Thinking Skill: Generating orrect nswer: 6. Objective 3.6 Recognize as inverses the eponential and logarithmic functions. Thinking Skill: pplying orrect nswer: 6. Objective 3.6 Recognize as inverses the eponential and logarithmic functions. Thinking Skill: Integrating orrect nswer: 63. Objective 3.7 Use logarithmic and eponential equations to solve problems. Solve by: a) Graphing. b) Substitution. c) pplying the inverse relationship. d) Using properties of equality: justify steps used. Thinking Skill: pplying orrect nswer: 64. Objective 3.7 Use logarithmic and eponential equations to solve problems. Solve by: a) Graphing. b) Substitution. c) pplying the inverse relationship. d) Using properties of equality: justify steps used. Thinking Skill: pplying orrect nswer: 65. Objective 3.7 Use logarithmic and eponential equations to solve problems. Solve by: a) Graphing. b) Substitution. c) pplying the inverse relationship. d) Using properties of equality: justify steps used. Thinking Skill: pplying orrect nswer: 66. Objective 3.7 Use logarithmic and eponential equations to solve problems. Solve by: a) Graphing. b) Substitution. c) pplying the inverse relationship. d) Using properties of equality: justify steps used. Thinking Skill: Integrating orrect nswer: North arolina Testing Program Published October 003. May reproduce for instructional and educational purposes only; not for personal or financial gain.