Algebra 1 B2 Final Review 2013

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Algebra 1 B2 Final Review 2013 Select the best answer. 7. Solve 4p  12  3p  8  9p. 3 1 1. Divide - ¸ . A 2 C 2 4 4 2 5 3 B D A 3 C 5 2 16 8. What is the length of MN in the diagram 3 B  D 3 below if MNPQ ~ HJKL? 16 2. Which number is closest to - 60? F 30 H 8 G 8 J 30 3. Simplify 28  7  22. A 1 C 16 B 4 D 64 F 1.7 mm H 3.1 mm 4. Which statement is an example of the G 1.8 mm J 3.5 mm Associative Property? 9. Which proportion can be used to find F a  9  9  a 110% of 75? G 3  (7  2)  (3  7)  2 x 110 x 100 H x(x  4)  x2  4x A = C = 75 100 110 75 J c  d  10  c  10  d x 100 x 75 5. In what quadrant is the point (x, x  4) B = D = if x  3? 75 110 100 110 A Quadrant I 10. Which is the best estimate of a 20% tip for a meal that costs $29.35? B Quadrant II F $3.00 C Quadrant III D Quadrant IV G $4.50 6. Which situation is best represented by H $6.00 95  x  62? J $7.50 F Francis spent $95 of his savings and 11. Which inequality is graphed below? now has $62 left. How much did he originally have in savings? G Mozelle gave $62 to her sister Mya, A x  4 C x  4 who had $95. How much does Mya B x ≤ 4 D x  4 have now? 12. Solve 2t  14. H There are 95 seats in a room, of which, 62 are empty. How many of F t  7 H t  7 the seats are taken? G t  7 J t  7 J 95 ounces of water leaked from a jar. Now the jar contains 62 ounces of water. How much water was in the jar?

d 13. Solve 2d  5 ≤ 3 OR  3.5 18. The scatter plot shows a relationship 2 between the number of empty lockers in A d ≤ 1 OR d  7 a school at the start of several years. Based on this relationship, which is the B d ≤ 1 OR d  1.75 best prediction for the number of empty C d ≤ 1 OR d  7 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? F 30 H 115 G 75 J 130 19. Which equation represents a linear function? A xy  8 C x  y  7 B y  2x3 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 A 4 ≤ x ≤ 2 C 3 ≤ x ≤ 1 x 6 8 10 x 2 5 8 B 4 ≤ x ≤ 1 D 3 ≤ x ≤ 2 y 12 24 40 y 1 4 7 3 16. Evaluate g(x)  x  9 when x  2. B 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 22. Which equation describes a line that arithmetic? passes through (1, 8) and (5, 2)? A 6, 12, 24, 48, … 5 19 F y  - x  H y  x  7 B 15, 13, 11, 9, … 3 3 C 20, 30, 50, 80, … 5 G y  - x  9 J y  x  9 D 60, 30, 15, 7.5, … 3

23. What is the slope of a line perpendicular 28. Simplify (x3)2  x8. to the line that passes through (0, 2) and 1 (4, 5)? F H x2 x3 4 3 A - C 1 3 4 G J x3 2 3 4 x B - D 3 4 3 29. Simplify 814. 24. Which ordered pair is a solution of A 3 C 27 ìx = 2y -11 í ? B 9 D 729 î4x + y = 10 30. The area of a rectangle is x3y4. Which F (3, 4) H (1, 6) expression represents the length if the G (0, 10) J (5, 8) width is x2y? 3 3 ì2x + 5y = 4 F y H xy 25. Solve í . 3x + 5y = 1 G xy J 3 î 31. Which monomial has a degree of 4? æ 2ö A (3, 2) C ç1, - ÷ A hk3 C 4h è 5ø B h4k4 D 4 æ 2 ö B ç- ,1÷ D (2, 3) 32. Which binomial is a difference of two 5 è ø squares? 26. Which inequality is represented by the F 4x  9 H 9x4  25 graph? 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 x  3 H 2x  3 F y  4x  3 H y  4x  3 G x  3 J 2x  3 1 1 G y  - x  3 J y  - x  3 4 4 27. Which expression is NOT equal to 1? A (3)0 C 30 B 2(21) D (40)4

35. What number should be placed in the 41. Which type of graph would best display box to make the trinomial a perfect- the heights of two brothers throughout square trinomial? their school years? 16a2 + a + 25 A line graph A 9 C 20 B double-line graph B 18 D 40 C bar graph 36. Which quadratic function would have a D circle graph graph that has a minimum? 42. What is the median of the scores 2 F y  3x  x  1 shown in the stem-and-leaf plot? G y  2x2  7x  3 H y  2x2  5x  1 Scores 2 J y  4x  x 6 2 2 4 37. What is the axis of symmetry of the 7 1 9 graph of y  4x2  4x  1? A x  4 C x  1 8 5 8 9 B x  0.5 D x  2 9 0 3 7 38. On the graph below, f(x)  3x2. Which Key: 7|1 means 71 function could be represented by the F 62 H 85 dotted graph? 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 1 F g(x)  4x2 H g(x)  x2 C as likely as not 2 D likely 1 G g(x)  - x2 J g(x)  4x2 44. The odds in favor of winning a contest 2 are 3:16. What is the probability of 39. Solve 2x2  4x  30. winning the contest? A 5 and 3 C 3 and 5 3 B 5 and 2 D 3 and 2 F 19 40. What number completes the square to 3 form a perfect square trinomial? G 13 x2 + 22x + 13 H F 11 H 121 16 G 22 J 484 16 J 19

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