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Algebra II Fall Final Exam REVIEW 2009 1) Solve: 2x + 2 1 2) Find the range of the relation: {( 0, 1) , ( 1, 2 ) , ( 2, 1) , ( 2, 1)} 3) Use the vertical line test to determine which 4) Graph the inequality: 3x 2y 6 graph represents a function. A) B) C) D) 5) Describe the transformation from 6) Explain whether each is a function or not a y = x to y = x + 2 1? function. A) { 6, 5, 8, 7} B) {( 6, 5 ) , ( 8, 7 ) , ( 8, 6 ) , ( 7, 8 )} C) {( 6, 5 ) , ( 5, 8 ) , ( 6, 7 )} D) {( 6, 5 ) , ( 5, 6 ) , ( 7, 7 )} 7) Write an equation in slope-intercept form for 8) What is the perpendicular slope of the equation a line passing through the point ( 2, 3 ) and 3 y = x+7? 2 4 perpendicular to the line: y = x + 5. 3 Algebra II Fall Final Exam REVIEW 2009 9)Given the equation y = x 3 + 4, find the 10) Find an equivalent expression for 300x . domain. 11) At a firefighters’ pancake breakfast, the 12) The price, e, of an entertainment system at firefighters served 345 people and raised $1395. Extreme Electronics is $220 less than twice the If the cost of a, an adult’s ticket to the pancake price, u, of the same system at Ultra Electronics. breakfast, was $5 and the cost of c, a child’s The difference in price between the system at ticket, was $3, what was the number of adult Extreme Electronics and Ultra Electronics is $175. tickets sold? Write a system of linear equations to determine the price of the system at each store? 13) Describe these lines. 14) Graph the feasible region for the set of x 0 Line 1: through (5,8) and (7,2) constraints: y 0 x + y 10 Line 2: through (-7, -2) and (-4, -1) Then find the critical points (coordinates of the vertices). Parallel, Perpendicular or Neither? 15) Simplify: 20 x 5 y 8 xy 2 16) Simplify: 81 + 9 17) i= 18) Multiply: (2 i) ( 5 + i) Algebra II Fall Final Exam REVIEW 2009 3 5 + i 19) Simplify: 20) Simplify: 2 2 i 21) Writea function that corresponds to the 22) Use the quadratic formula to solve the equation: ordered pairs shown in the table? 4x 2 5x + 5 = 0 x -3 -1 2 3 4 y -1 3 9 11 13 23) Two angles are supplementary. One angle 24)The width of a rectangular park is 5 meters is 30 more than twice the other angle. How o shorter than its length. If the area of the park is large are the two angle? 300 m 2 , find the width of the park. 25)Use the quadratic formula to solve the 26) Complete the square equation: 2x 2 8x + 20 = 0 x 2 + 14 x + c 27) Factor: ( x2 100 ) 28) Factor: x2 12x + 32 29) Factor: 4x 2 13x + 9 30) Find the product and simplify the answer: (3 2 ) (3 + 2 ) 31) Simplify: 32) A rock was thrown upward with an initial velocity of 24 feet per second. The rock’s height t 2 3 seconds after it was thrown upward is given by the * 7 11 function h ( t ) = 16t 2 + 24t + 4755 . Kelly guessed that it would take 15 seconds for the rock to hit the river, David guessed 18 seconds, Shilpi guessed 20 seconds, and Dube guessed 25 seconds. Who had the best guess? Algebra II Fall Final Exam REVIEW 2009 33) Jake averages 20 points per game when he 34) Julie’s bank pays 4.5% annual interest on the plays basketball. What is the functional value of a certificate of deposit (CD). Which is the relationship between the total number of independent quantity in the functional points that Jake scores and the number of relationship between the value of the CD and the basketball games he plays? (i.e. Is the number of annual interest paid? points independent or dependent on the number of games? Explain.) 35) Laurierecorded the high temperature in 36) Identify the range of the function, f ( x) , Abilene each Saturday for two months and graphed below. recorded the data in the graph below. f ( x) What is the functional relationship between the week number and the high temperature on that Saturday? for HP laptops (in thousands) 37) Predicted sales 38) A collector of sports cards has a total of 5000 and Apple laptops (in thousands) can be cards, which consists of baseball cards and football modeled by the table below. Based on the data cards, worth $25,855. The average value of each predictions, in what year will both companies baseball card is $6.25 and the average value of each sale the same amount of laptops? football card is $2.10. Which system of equations Year 2000 2005 2010 2015 2020 can be used to find b, the number of baseball cards, and f, the number of football cards? HP 17 27 37 47 57 Apple 2 17 32 47 62 Algebra II Fall Final Exam REVIEW 2009 39) The graph shows the daily production cost 40) Which of the following equations has the same for a company that manufactures microwave range as the quadratic graphed below? ovens, where x is the number of ovens produced. Which statement is true about this situation? y = x 2 +3 A) The cost of producing the ovens ranges from $700 to $800. y = ( x + 3)2 B) The domain is x C 0. y = x2 + 2 x 3 y = 2x2 4x 1 C) The range is the number of ovens produced. D) The maximum number of ovens that can be produced is 40. 41) A music store sells about 50 of a new 42) Bob and a few of his fishing buddies went to a model of drum per month at a price of $120 catfish and bass farm where they have a small pond each. For each $5 decrease in price, about 4 stocked with hungry catfish and bass. Together the more drums per month are sold. Which group caught 24 fish at the most, consisting of some inequality can you use to find the prices that catfish and some bass. The average weight of each result in monthly revenues over $6500? bass was 4.5 pounds, and the average weight of each catfish was 6 pounds. The group’s total weight of fish caught was at least 122 pounds. Write a system of inequalities that can be used to find b, the number of bass caught, and c, the number of catfish caught? Algebra II Fall Final Exam REVIEW 2009 43) A vendor sold 200 tickets for an upcoming 44) How is the graph of the equation y = 5x2 rap concert. Floor seats, f, were $ 36 and related to the graph of y = - 5 x2? stadium seats, s, were $ 28. The vendor sold $ 6080 in tickets. This can be modeled by the system of equations 36f + 28s = 6080 f + s = 200 How many $ 28 dollar seats did the vendor sell? 45) Write the equation that is shifted 5 units up 46) The length of a rectangular rug is 2 feet less from the graph of y = x2 – 1? than twice its width. Determine the dimensions of the largest rug if its area must be no more than 180 ft2. 47) Find the x-intercepts for the function: 48) Find the factors of: f(x) = x2 – 4x – 5. 6x2 – 11x – 10. 49)The graph shows the height of a football 50) You are making a square frame of uniform from the time it is kicked until it hits the ground. width for a square picture that has side lengths of 2 For how long is the football at least 20 feet feet. The total area of the frame is 5 square feet. above the ground? What is the length of sides of the frame?

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posted: | 6/25/2011 |

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