University:
Morehouse College
Course:
HMTH 105 College Algebra 1
Academic year:

2022
Views:

235

Pages:

4
Author:

Giselle A.

Chapter 6 Test Review Name:______________________________________ Hour:_________ Algebra 1 CP Translate the verbal phrase into an inequality. Then graph the inequality. 1. All real numbers that are less than 5. 2. All real numbers that are greater than or equal to -1. 3. All real numbers that are greater than -2 and less than or equal to 0 4. All real numbers that are greater than 8 or less than 4. Solve the inequality, if possible. 5. x – 9  -5 6. -2 > 5 + y 8. 5m  35 9. 11. -4s < 6s + 1 12. 4t – 7  13 13. -8 > 5 – v 14. 3(5w + 4) < 12w – 11 15. 4p – 3 > 2(2p + 1) 16. 9q – 12  3(3q – 4) 17. -2  4 – 3a  13 18. -7 < 2c – 1 < 10 n < -1 6 7. -0.8  z + 7.7 10. r  4 3 19. -5  2 – h or 6h + 5  71 Write an inequality for the graph shown below. 20. 21. 22. In a piano competition, a pianist must perform a sonata that lasts no less than 8 minutes and no more than 10 minutes. Write an inequality that represents the durations d (in minutes) of sonatas that can be performed. 23. Your friend is starting a small business baking and decorating cakes and wants to make a profit of at least $250 for the first month. The expenses for the first month are $155. What are the possible revenues that your friend can earn in order to meet the profit goal? 24. In men’s gymnastics, an athlete competes in 6 events. Suppose that an athlete’s average score per event is at most 9.7 points. Write and solve an inequality to find the possible total scores for the athlete. 25. You can order discount movie tickets from a website for $7 each. You must also pay a shipping fee of $4. You want to spend no more than $40 on movie tickets. Find the possible numbers of movie tickets that you can order. Solve the absolute value equation or inequality, if possible. 3 1 26.  x  3  27. 3 y  1  6  2 4 4 28. 4 2 z  5  9  17 29. m  8 31. 3g  2  5 30. 6k  1  2 32. 6 3x  5  78 33. 2 j  9  2  10 34. 5 d  8  7  13 Solve the following inequalities. Graph your solution. 35. 2 x  1  5 36. 2 2 f  7  5  11 Tell whether the ordered pair is a solution of the inequality. 40. 2x – y > 4; (-6, -15) 41. 4x – 3y  -5; ( 6, 8) Graph the following inequalities. 42. y < x + 4 45. 1 2 𝑥 – y < -4 43. 3y + 6  -9x 44. y  -6 46. 2(y + 3) ≤ 4x 47. x < 3 Write an inequality for the graph shown. 48. 49. 50. 51. When graphing a linear inequality, explain how you decide which side of the line to shade. Answers: 1. x<5 2. x≥-1 12. t ≤ 5 3. -213 20. x ≤-6 or x > -3 5 4. x>8 or x<4 14. w <− 23 3 21. 4 ≤ 𝑥 ≤ 8 15. No Solution 22. 8 ≤ d ≤ 10 7 3 2 2 27. y = − or y = 1 28. z = − or z = − 3 21 2 2 34. d < -12 or d > -4 3 33. j < − or j > 40. Not a Solution 5. x≥4 6. y<-7 7. z ≥-8.5 16. All Reals 23. r ≥ $405 29. m ≤ -8 or m ≥ 8 35. x ≤ -3 or x ≥ 2 8. m ≥7 17. -3 ≤ 𝑎 ≤ 2 10. r ≥-12 18. -3 < c < 24. t ≤ 58.2 pts 11 2 25. 5 tickets 1 1 2 6 30. k ≤ − or k ≥ 9. n <-6 31. -1 < g < 26. No Solution 7 3 43. 49. y ≤ 2x+3 50. y < -2x - 5 44. 45. 32. -6 ≤ x ≤ 36. 2 < f < 5 46. 47. 1 10 19. h≤7 or h≥11 41. Solution 42. 11. s >− 48. y≥-x+4 8 3

Math Chapter 6 Test Review Answers

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