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Name _______________________________________ Date __________________ Class __________________ Algebra 1 B2 Final Review 2013 Select the best answer. 1. Divide A 3 B 3 16 7. Solve 4p 12 3p 8 9p. A 2 3 1 ¸ . 4 4 3 C 16 D 3 C 2 2 5 D 5 2 8. What is the length of MN in the diagram below if MNPQ ~ HJKL? B 2. Which number is closest to - 60? F 30 G 8 H 8 J 30 3. Simplify 28 7 22. A 1 C 16 B 4 D 64 4. Which statement is an example of the Associative Property? F a99a G 3 (7 2) (3 7) 2 H x(x 4) x2 4x J c d 10 c 10 d 5. In what quadrant is the point (x, x 4) if x 3? A Quadrant I B Quadrant II C Quadrant III D Quadrant IV 6. Which situation is best represented by 95 x 62? F Francis spent $95 of his savings and now has $62 left. How much did he originally have in savings? G Mozelle gave $62 to her sister Mya, who had $95. How much does Mya have now? H There are 95 seats in a room, of which, 62 are empty. How many of the seats are taken? J 95 ounces of water leaked from a jar. Now the jar contains 62 ounces of water. How much water was in the jar? F 1.7 mm H 3.1 mm G 1.8 mm J 3.5 mm 9. Which proportion can be used to find 110% of 75? A x 110 = 75 100 C x 100 = 110 75 x 100 x 75 D = = 75 110 100 110 10. Which is the best estimate of a 20% tip for a meal that costs $29.35? B F $3.00 G $4.50 H $6.00 J $7.50 11. Which inequality is graphed below? A x 4 C x 4 B x ≤ 4 D x 4 12. Solve 2t 14. F t 7 H t7 G t 7 J t7 Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Algebra 1 Name _______________________________________ Date __________________ Class __________________ 13. Solve 2d 5 ≤ 3 OR d 3.5 2 A d ≤ 1 OR d 7 B d ≤ 1 OR d 1.75 C d ≤ 1 OR d 7 18. The scatter plot shows a relationship between the number of empty lockers in a school at the start of several years. Based on this relationship, which is the best prediction for the number of empty lockers in 2010? D d ≤ 4 OR d 1.75 14. For which situation would the graph consist only of distinct points? F the temperature of soup as it sits on the stove G the amount of money earned based on the number of pizzas sold H the amount of water in a sink as it is being drained J the altitude of a plane from take off to landing 15. What is the domain of the relation below? A 4 ≤ x ≤ 2 C 3 ≤ x ≤ 1 B 4 ≤ x ≤ 1 D 3 ≤ x ≤ 2 16. Evaluate g(x) x3 9 when x 2. F 30 H 115 G 75 J 130 19. Which equation represents a linear function? A xy 8 C xy7 3 B y 2x D 3x2 – 4y 12 20. What is the y-intercept of 2x y 8? F 8 H 1 G 4 J 2 21. Which data set represents a direct variation? A C x 6 8 10 x 2 5 y 12 24 40 B y 1 4 8 7 D F 1 H 15 x 4 1 6 x 1 2 3 G 3 J 17 y 8 2 12 y 3 3 5 17. Which sequence below appears to be arithmetic? A 6, 12, 24, 48, … B 15, 13, 11, 9, … C 20, 30, 50, 80, … D 60, 30, 15, 7.5, … 22. Which equation describes a line that passes through (1, 8) and (5, 2)? 5 19 H y x 7 x 3 3 5 G y - x 9 J y x 9 3 F y - Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Algebra 1 Name _______________________________________ Date __________________ Class __________________ 23. What is the slope of a line perpendicular to the line that passes through (0, 2) and (4, 5)? A - 4 3 C 3 4 3 4 D 4 3 24. Which ordered pair is a solution of ì x = 2y - 11 í ? î4x + y = 10 28. Simplify (x3)2 x8. F 1 x3 H x2 G 1 x2 J x3 B - F (3, 4) H (1, 6) G (0, 10) J (5, 8) ì2x + 5y = 4 . 25. Solve í î3x + 5y = 1 A (3, 2) æ 2 ö B ç - , 1÷ è 5 ø 3 29. Simplify 814 . A 3 C 27 B 9 D 729 30. The area of a rectangle is x3y4. Which expression represents the length if the width is x2y? F y3 H xy3 G xy J 3 æ 2ö C ç1, - ÷ 5ø è 31. Which monomial has a degree of 4? D (2, 3) 32. Which binomial is a difference of two squares? 26. Which inequality is represented by the graph? A hk3 C 4h B h4k4 D 4 F 4x 9 H 9x4 25 G x2 1 J 16x6 10 33. Which polynomial can be factored by grouping? A a2 6a 9 B 2a 4b 14 C 6a2 60a 5a 50 D 7a2 10 11b2 9 34. The area of a rectangle is 2x2 x 21 square meters. The width is 2x 7 meters. What is the length? F y 4x 3 H y 4x 3 F x3 H 2x 3 G x3 J 2x 3 1 1 J y - x 3 x 3 4 4 27. Which expression is NOT equal to 1? G y - A (3)0 C 30 B 2(21) D (40)4 Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Algebra 1 Name _______________________________________ Date __________________ Class __________________ 35. What number should be placed in the box to make the trinomial a perfectsquare trinomial? 16a2 + A 9 B 18 a + 25 41. Which type of graph would best display the heights of two brothers throughout their school years? A line graph B double-line graph C 20 D 40 C bar graph 36. Which quadratic function would have a graph that has a minimum? F y 3x x2 1 G y 2x2 7x 3 H y 2x2 5x 1 J y 4x x2 D circle graph 42. What is the median of the scores shown in the stem-and-leaf plot? Scores 37. What is the axis of symmetry of the graph of y 4x2 4x 1? A x 4 C x1 B x 0.5 D x2 38. On the graph below, f(x) 3x2. Which function could be represented by the dotted graph? 6 2 2 4 7 1 9 8 5 8 9 9 0 3 7 Key: 7|1 means 71 F 62 H 85 G 80 J 97 43. Which describes the likelihood of the following event? Toni selects a red marble from a bag that has 2 red marbles and 7 blue marbles. A impossible B unlikely F g(x) 4x2 H g(x) 1 2 x 2 1 2 J g(x) 4x2 x 2 39. Solve 2x2 4x 30. A 5 and 3 C 3 and 5 B 5 and 2 D 3 and 2 40. What number completes the square to form a perfect square trinomial? G g(x) - x 2 + 22x + F 11 G 22 H 121 J 484 C as likely as not D likely 44. The odds in favor of winning a contest are 3:16. What is the probability of winning the contest? F 3 19 G 3 13 H 13 16 J 16 19 Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Algebra 1 Name _______________________________________ Date __________________ Class __________________ Chapter Cumulative Test 1. A 2. G 3. C 4. G 5. D 6. H 7. B 8. J 9. A 10. H 11. D 12. H 13. A 14. G 15. D 16. F 17. B 18. G 19. C 20. F 21. B 22. F 23. A 24. H 25. A 26. F 27. D 28. H 29. C 30. H 31. A 32. G 33. C 34. G 35. D 36. H 37. B 38. H 39. A 40. H 41. B 42. H 43. B 44. F Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Algebra 1