Algebra 1 - Semester 2 Exam Review

Transcription

1 Class: Date: Algebra - Semester 2 Exam Review Multiple Choice Identify the choice that best completes the statement or answers the question.. 00 equals a. 0 d. 50 b. undefined e. 20 c Solve the system of equations. x + y = 3 2y = 2x + 6 a. Infinitely many solutions c. (3,0) b. No solution d. (0,3) 3. A company distributes its product by train and by truck. The cost of distributing by train can be modeled as 0.06x x 0, and the cost of distributing by trucks can be modeled as 0.0x x 45, where x is the number of tons of product distributed. Write a polynomial that represents the difference between the cost of distributing by train and the cost of distributing by trucks. a. 0.05x 2 + 2x 255 c. 0.05x x 255 b. 0.07x 2 + 2x 255 d. 0.05x 2 + 2x + 35

2 4. Write and graph the inverse variation in which y = 2 when x = 4. a. y = 2 x c. y = 3x b. y = 48 x d. y = 3 x 4 5. Simplify 625. a. 2,500 c. 0 b. 25 d Factor 2x 2 x + 5. a. ( x 3) ( 2x 5) c. ( x 3) ( x 5) b. ( x 3) ( 2x + 5) d. ( x 5) ( 2x 3) 2

3 7. Which choice represents an inverse variation? a. y = 5 x d. y = 2x + 4 b. x = 9y e. None correct c. 5 = y x 8. Simplify a. b. 5r 4 s 2 2r 4 s 2. 3s 2 s 2 c. r 4 3r 4 3 r 4 s 2 d. 3r 4 s 2 9. Multiply. Write the product in simplest form. 6x 0x a. 30x c. x 60 b. 2x 5 d. 4x 5 0. Find 30% of 60. a. 200 c. 800 b. 4.8 d. 8. Solve the inequality x < x. a. < x c. x < 2 b. x <.9 d. x < 2. Solve the inequality 9( k 7) 9k + 9. a. {all real numbers} c. no solutions b. k 3 d. k 4 3. Factor x 2 + x a. ( x 8) ( x 3) c. ( x + ) ( x + 24) b. ( x + 3) ( x + 8) d. ( x + ) ( x + ) 3

4 4. Identify the excluded value for the rational function y = x + 0. a. 0 c. 0 b. d. Ï x y = 2 5. Solve Ô Ì by elimination. ÓÔ 3x y = 8 a. ( 2, 0) c. (5, 7) b. ( 2, 4) d. (5, 7) 6. Which value is part of the solution set of 4 x 5 > 0? 9 a. 6 d. b. e. None correct c Use the stem-and-leaf plot to find Leah s median quiz score. Leah s Math Quiz Scores Stem Leaf Key: 8 2 = 82 points a. 77 d. 73 b. 76 e. None correct c Which set is the solution of x = 5? a. {6, 2} d. { 2,4} b. {6,2} e. None correct c. {4, 2} 4

5 9. Solve and graph the inequality 2z < 8. a. z < 36 b. z < 36 c. z < 9 d. z < Alaska is the largest state in the United States and has a surface area of approximately 588,000 square miles. Montana has a surface area that is approximately 25% of the surface area of Alaska. What is the approximate surface area of Montana? a. 24 square miles c. 4,700,000 square miles b. 2,352 square miles d. 47,000 square miles 2. What is the equation of a line that passes through ( 9, 3) and (2, 0)? c. y = 3 x 6 a. y = 3 x 6 b. y = 3 x 60 d. y = 3 x A book costs $25. It goes on sale for $20. What is the percent of decrease? a. 20% d. 75% b. 80% e. None correct c. 25% 5

6 23. Graph the function y = x a. c. b. d. 24. Which equation is a direct variation? a. 2y = 2x c. y = 2 + x b. y = 4 x d. xy = Find the percent change from 240 to 26. Tell whether it is a percent increase or decrease. If necessary, round your answer to the nearest percent. a. 0% increase c. 0% decrease b. % increase d. % decrease 6

7 26. Choose the equation of a line passing through (,3) that is perpendicular to y = 2 3 x 2 3. a. y = 3 2 x b. y = 3 2 x 3 2 d. y = 2 3 x 2 3 e. None correct c. y = 2 3 x Find the slope of the line. a. 3 6 b. 3 2 c. 6 3 d Peter has one quiz each week in social studies class. The table gives the probability of having a quiz on each day of the week. What is the probability that Peter will have a quiz Tuesday, Thursday, or Friday? Express your answer as a percent. Day Monday Tuesday Wednesday Thursday Friday Probability a. 23% c. 4% b. 6% d. 7% 7

8 29. Which ordered pair is a solution to the system of equations? 3x + y = 3 2x + 2y = 6 a. (3, 6) c. ( 2, ) b. (, 0) d. (0, 3) 30. Ralph is arranging a wedding reception. He can spend no more than $7000. It costs $4500 to rent the hall and $29 to feed each guest. Ralph needs to know how many guests, at most, can attend the reception. Write an inequality to represent this situation. a. 29g c. 4500g 29 < 7000 b. 29g < 7000 d. 29g Choose the equation of a line that has slope of 3 and passes through ( 4,2). a. y = 3x + 4 d. y = 3 x + 0 b. y = 3x + 0 e. None correct c. y = 3 x The absolute value of a number is 4. What could the number be? a. either 4 or 4 c. 4 only b. 4 only d. not enough information to decide 33. Find the product of (2x + 4)(x 2 5x + 2). a. 2x 3 6x 2 6x + 8 c. 2x 3 + 4x x + 2 b. 2x 3 + 4x 2 + 4x + 8 d. 2x 3 + 6x x Find the mean of the values in the data set: 24, 20, 42, 8, 29, 25, 22, 20. a. 25 d. 8 b. 23 e. None correct c Factor s 2 2s 35. a. (s + )(s 35) c. (s 7)(s 5) b. (s 5)(s + 7) d. (s )(s 35) 8

9 36. Factor x 2 + 2x a. (x + 5)(x + 6) c. (x + )(x + 80) b. (x + 4)(x + 20) d. (x + 2)(x + 80) 37. Solve and graph the compound inequality 3 < 3x AND x 3. a. < x AND x < 4 c. < x AND x 4 b. x AND x 4 d. > x AND x Simplify 27. a. 9 c. 3 b. 4 d A compound is made up of various elements totaling 70 ounces. If the total amount of lead in the compound weighs 6 ounces, what percent of the compound is made up of lead? If necessary, round your answer to the nearest hundredth of a percent. a % c. 4.38% b. 77.4% d. 0.23% 40. What is the least common multiple of (6x 48) and (2x 2 6x)? a. 6x(x 8) c. 2x b. 6x d. 2x(x 8) 4. Simplify 69. a c. 3 b d Which expression is factored completely? a. 0(t 6)(t 3) c. 2(5t 30)(t 3) b. 5(2t 2)(t 3) d. 0(t 2 9t + 8) 9

10 43. Factor 2x 2 + x + 5. a. (x 3)(2x + 5) c. (x 3)(2x 5) b. (x + 3)(2x + 5) d. (x + 3)(2x 5) 44. Graph the inequality x 5. a. c. b. d. 45. Identify the excluded value for the rational expression a. 6 c. 6 b. 2 d. 2 2 x Write the inequality as a sentence. m 9 > a. A number decreased by 9 is greater than. b. A number increased by 9 is less than. c. A number increased by 9 is greater than. d. A number decreased by 9 is less than. 2 Ê ˆ 47. Simplify 4 3 Ë Á. a c. 3 b d Ï y = x Solve Ô Ì. ÓÔ x y + 2 = 0 a. This system has no solution. c. This system has infinitely many solutions. b. This system has exactly one solution. d. (3, 5) and (0, 0) 0

11 49. A store sells 0 batteries for $7.25. Which deal is a better buy? a. 8 for $5.40 d. 4 for $3.30 b. 2 for $.50 e. None correct c. 6 for $ Simplify a 2 b 5 a 4 b 7 c 8. a. a 2 b 2 c 8 c. b. a 2 b 2 c 8 d. c 8 a 2 b 2 a 2 b 2 c 8 5. A bag contains 2 red marbles and 4 blue marbles. What is the probability of drawing a red marble, keeping it, and then drawing another red marble? a. d. 5 9 b. 8 e. None correct c What is the probability of spinning white or spinning a number greater than 3? a. b. c d. 7 8 e. None correct

12 53. Find the 0th term of the sequence 3, 8, 3, 8,.... a. 48 d. 43 b. 58 e. None correct c Multiply ( )( ). What is the product in scientific notation? a c b d Which choice shows the prime factorization of 84? a d. 84 b e. None correct c Find the greatest common factor of 9x 5 6x 4 3x 3. a. 3x 3 c. 3x 4 b. 3 d. 6x Simplify (5x 7 y 5 ) 2. a. 25x 4 y 0 c. 25x 7 y 5 b. 25x 9 y 7 d. 25x 4 y Solve the proportion 2 6 = x 54. a. x = 8 c. x = 9 b. x = 62 d. x = Evaluate a 0 b 2 for a = and b = 4. a. 6 c. 0 b. 6 d Find the next three terms in the arithmetic sequence 72, 59, 46,... a. 33, 20, 07 c. 34, 22, 0 b. 32, 8, 04 d. 20, 94, 68 2

13 Algebra - Semester 2 Exam Review Answer Section MULTIPLE CHOICE. A 2. A 3. D 4. B 5. D 6. A 7. A 8. A 9. B 0. D. A 2. A 3. B 4. C 5. D 6. A 7. A 8. A 9. C 20. D 2. A 22. A 23. C 24. A 25. C 26. A 27. A 28. D 29. A 30. D 3. A 32. A 33. A 34. A 35. B 36. A 37. C 38. A 39. A

14 40. A 4. D 42. A 43. B 44. D 45. A 46. A 47. A 48. C 49. A 50. A 5. A 52. A 53. A 54. A 55. A 56. A 57. A 58. A 59. D 60. A 2