Algebra 1: Final Exam Review 2013 Mrs. Brennan!Mr. Carell Monday June 24, 2013 8:00am to 10:00am Format: 80 multiple choice 4 free response Total 1 point each 5 points each 1 O0 points Content: Chapter 9: Chapter 10: Chapter 11: Chapter 12: Chapter 13: Polynomials and Factoring Quadratic Equations and Functions Radicals (11.2, 11.3, 11.5) Rational Expressions (12.3 to 12.5) Probability and Data Analysis What to bring: What to study: Your own calculator. Number 2 pencils Your text book. Old quizzes and tests Chapter reviews and tests from your book Section quizzes and eworkbook problems Powerpoint presentations and home tutor Review packet
Name: Class: Date: ID: A A~gebra 1 - F~nal Exam Review 21)!3 Write the polynomial so that the exponents decrease ftom left to right. 6x3-6x+4x5-2 a. 4xs + 6x~ - 6x - 2 c. -4xS - 6x~ + 6x + 2 b, -2+4xS-Sx+6x3 d. 2-4xS +6x-Sx~ 2. Find the degree of the polynomial-324 + 2,V ~ + 7. a. 4 c. 6 b. I d. 7 3, Classify the expression -9v 9 -- 7 and state its degree. a. binomial, 9 c. trinomial, 9 b. binomial, I0 d. trinomial, 10 Find the difference. a. 4b3 +llb2-6b+13 c. llb~-4b2-6b+3 b. 4b?+llb2+6b-13 d. llb3+4b~-6b-3 Find the product. (4x+ l)(4x- 3) a. 16x2+8x-3 c. 16x2-Sx-3 b. l(~v 2-8x+3 d. 16x 2-16x-3 (x + 5) (x~- - Z c + 3) a. x3+3x 2 7x+15 c, x3+3x2--10x+15 b. X3--2X2 + 15 d. x2-3x+ 15 Find the product. 8. (2v + 5) (2v- 5) a. 4v2 _ 25 b, 4V 2 + 25 c. 4v 2 +20v--25 d. 4v 2 +20v +25 9, (a 7) 2! 0. Solve the equation 30x ~ + I lx - 30 = 0.
Name: ID: A Factor the trinomial. 11. 5x2+43x+24 Solve the equation. 12, x +4x- -25x- 100=0 a. -4, 25. 4, 5 b. -5,4,5 d. -4, -5,5 13. x3 +7x2-18x=O Describe how the graph of the function compares to the graph of y=x ~, 14. y = O.5x 2 15. y=-~x Graph: 16. y = 4x ~ +5x+4 Solve the equation. t7. @-~ + 120 = 120
Name: ID: A Solve the equation. Round the solutions to the nearest hundredth. 18. 3(x+6) ~- = 33 An object is dropped from an initial height ofs feet. The object s height at any time t, in seconds, is given by h =-16t ~ +s. 19. How long does it take for an object dropped from 200 feet to lilt the ground? Round your result to two decimal places. Solve the quadratic equation. 20. x ~ + 8x + 14=0 a. 4+-,f~,4- ~f~ c. 8+2~/~,8-2~/~ b. -8+2"f~,-8-2~ d. -4+ ~,-4 - x/~ Use the quadratic formula to solve the equation. 21. x 2 = 15x-34 15-, f~ 15+~ a. c. 15-,f~,15+~,f~ 2 2-15-~ -1~ ~f~ b. -15-,~, -15 +,~ d. 2 2 Use the discrimlnant to determine the number of solutions of the equation. 22. -x ~ +6x+6=0 a. 2 b. 3 c. 1 d. 0 23. The model for the height of a projectile is h = -4.9t 2 +vt+s, where h is the height in meters, t is the time in seconds, v is the initial vertical velocity in meters per second, and s is the initial height in meters. An arrow i shot from a height of 0.5 meters with an initial vertical velocity of 46 meters per second. Will the arrow ever reach a height of 240 meters? Tell whether the table of values represents a linearfnnction, an exponential function, or a quadratic fnnction. Then wrlte an equation for the function. 24. 3
Name: H): A Use a graph to tell whether the ordered pairs represent a linearftmction, an exponential function, or a quadratic function. 25. (-5, 10), (-1,-2), (-4, 4), (0, 0), (1,4), (2, 10) 26. I~ Simplify: Simplify: Simplify: 28. ~4 Simplify: 29, 30. Solve:.~xx+4 =25 207 2 Solve. 207 209 2 2 599 6 31, ZV~7~-:-~xx-32 32, 33, Find the midpoint of(4, 16) and (9, -2). a. (@, 7) b. (13, 14) Find the distance between the two points. (-4,-2), (2, 3) c. (10, d. (-13, -14) 4
Find the quotien. x- +2x+l =1 34. +-- 4x 2 + 4x 8x 35. 36. 37. 38. 39. 40. 41. Divide 24x 2-9x 3 + I2-27x by 3x - 5. 8 16 a. -3x 2+3x-4 3x-5 c. -3x 2+3x-9-x_ 5 b. -3x2+3x-9-~2 d. -3x2+3x-4+~8 x-5 x-5 A coin is tossed and a die is rolled. What is the probability that the coin shows heads and the die shows a two? 1 1 1 l a. ~ b. ~ c. 2~ d. 1~ Elaine went to the mall to buy a shirt for a friend. Her choices for the shirt are striped and corduroy. Both of the choices come in green, yellow, and blue. Draw a tree diagram that represents her choices. A box contains 8 green, 4 yellow, and 8 purple balls. You draw a ball at random. Find the probability of drawing a green or a purple ball. A number cube is rolled 120 times. Six is rolled 23 times. a. What is the theoretical probability of rolling a six? b. What is the experimental probability of rolling a six? A bag contains two blue marbles and one red marble. A marble is randomly drawn. What are the odds in favor of picking the red marble? The probability of an event is ~2 Find the odds against the event occurring. 42. A special deck of cards contains three each of the numbers from 1 to 8 and roar each of the nnmbers 9 and 10. One card is drawn at random from the deck. What is the probability that the card is a number greater than 7? Find the value: 43. 7P2 a. 10.5 b. 84 c. 42 d. 21 44. Nine people are entered in a race. If there are no ties, in how many ways can the first two places come out?
Name: [D: A Find the value: 45. 46. 47. 48. 49. 50. 7C~ a. 21 c.!4 b. 147 d. 42 The Pioneer High track coach has a group of nine runners from which to choose a 4-person relay team. How many different 4-person teams can be formed from this group of runners. A drawercontains 2 red socks, 7 white socks, and 9 blue socks. Withoutlooking, you draw outasock and then draw out a second sock withoutreturningthe firstsock. Wbatisthe probability th~ the firstsock and the second sock are both red? 4 l l 1 a. -- b. -- c. -- d. - 17 81 153 4 Findthemean, median and mode forflae d~a. 40,54,9,48,37,81,!6,38,29,30 A high school football coach is going to calculate the mean, median, mode(s), and range of the weights of the players on the first string offense. The weights are listed below. 188, 203, 156, 229, 178,206, 235,250,!64, 148, 220 A reporter is writing a short article about the team s prospects for tbe coming season. Which measure of central tendency sbould the coach give to the reporter to make the players on tbe o[ fense seem as large as possible? Draw a box-and-whisker plot of the data. Make two statements about the data. 24, 15, 19,20,27,24, 19,40,28,37,25, 17, 19,32,22 6
Algebra 1: Final Exam - Open Ended Practice I. You are designing a poster. The width is x + 4 cm and the length is 2x - 1 cm. a. Write an expression to represent the perimeter of the poster. b. Write an expression to represent the area of the poster. c. The picture on the poster has width x cm and length (x + 1) cm. d. Write an expression for the area of the border. 2. Graph the following: y =-2x2 + 8x+ 3 Vertex Axis of symmetry Open np/down? Vertically stretched or compressed? 3. A baseball player hits a baseball into the air with initial vertical velocity of 48 feet/sec from a height of 3ft. a. Write an equation that gives the baseball s height as a f~nction of the time. b. When does the baseball reach its max height? What is the max height? c. When does the baseball hit the ground?