Algebra I Chapter Review

Chapter Review 1361 (Odds Only) on pp. 223226 Solve each inequality. Graph your solutions. 13. w + 3 > 9 W + 3 3 > 9 3 W > 6 15. -4 < t + 8 -4 8 < t + 8 8 t > -12 17. 22. 3 ? 13. 7 + h 22. 3 13. 7 ? 13. 7 13. 7 + h h ? 8. 6 19. You switch at most $15. 00 to spend. You privation to buy a used CD that costs $4. 25. Write and solve an inequality to find the executable additional amounts you can spend. a = Additional funds you can spend. a ? 15 4. 25 21. -6t > 18 -6t-6 > 18-6 t < -3 23. h4 < 6 h4 ? -4 < 6 ? -4 > -24 25. 35n ? 9 35n ? 35 ? 9 ? 35 n ? 15 27. -17. 1m < 23. 8 -17. 1m ? -17. 1 < 23. 8 ? -17. 1 m > 1. 392 Solve each inequality. 29. 4k 1 ? -3 4k 1 + 1? -3 + 1 4k4 ? -24 k ? -0. 5 31. 3t > 5t + 12 3t 5t > 5t 5t + 12 -2t-2 > 12-2 t < -6 33. 4 + x2 > 2x 4 + x2 ? 2 > 2x ? 2 4 + x x > 4x x 43 > 33 1. 33 > x 35. 13. 5a + 7. 4 ? 85. 7 13. 5a + 7. 4 7. 4 ? 85. 7 7. 4 13. 5a13. 5 ? 78. 313. 5 a ? 5. 8 37. A salesp erson stools $200 per week plus a commission equal to 4% of her sales.This week her goal is to earn no less than $450. Write and solve an inequality to find the amount of sales she must have to reach her goal. 200 + . 04s ? 450 200 200 + . 04s ? 450 -200 .04s. 04 ? 250. 04 s ? $6,250 41. Suppose U = 1, 2, 3, 4, 5, 6, 7, 8 and B = 2, 4, 6, 8. What is B? B = 1, 3, 5, 7 Solve each compound inequality. 43. 0 < -8b ? -6. 3 0-8 < -8b-8 ? -6. 3-8 0 > b ? .7875 45. 5m < -10 or 3m > 9 5m5 < -105 or 3m3 > 93 m < 2 or m > 9 47. 9. 1 > 1. 4p ? -6. 3 9. 11. 4 > 1. p1. 4 ? -6. 31. 4 6. 5 > p ? -4. 5 Solve each equality or inequality. If there is no solution, write no solution. 49. y = 3 y = 3, -3 51. 4 + r + 2 = 7 r = 1, -5 53. 5x ? 15 No solution. 55. 2x 7 1 > 0 No solution. 57. The paragon length of a certain nail is 20mm. The actual length can vary from the ideal by at most 0. 4mm. Find the range of acceptable lengths of the nail. a = Acceptable lengths 19. 6mm < a < 20. 4mm Exercises 59. Let P = 1, 5, 7, 9, 13, R = 1, 2, 3, 4, 5, 6, 7, 8, and Q = 1, 3, 5.Draw a Venn diagram that represents the intersection and union of the sets. P 9, 13 Q 1, 5 7 3 2, 4, 6, 8 R 61. There argon 15 cats. Ten are striped and have green eyes. The rest of the cats have green eyes but are non striped. How many cats have green eyes but are not striped? 15 make sense -10 Striped cats 5 With green eyes and no stripes