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Math 95 Test 2 Review I. Solve the following inequalities. Graph the solution and write it in interval notation. 1. 4 x − 5 ≥ 10 2. 3 x − 2 ( x + 1) < 3 ( 2 x − 7 ) 4. −14 < 3 x − 5 < 10 5. 1 x − 5 < 12 2 7. 5 ( 2 x − 4 ) + 10 > −3 8. −4 ≤ 3. 2 x − 1 ≥ 15 6. 1 − 3 x < 7 1 x −1 ≤ 9 3 9. 1 − 3 x − 5 ≥ −2 II. Solve each absolute value equation. 10 10. 6 x − 5 = 11. 3 x + 10 − 5 =−3 3 12. 5 − x = 2 4 III. Find the x and y-intercepts for each. 13. 4 x − 5 y = 20 14. = y 3x − 4 16. y − 5 = 0 17. 4 x + 3 y = 24 IV. Find the missing values in the t-chart. 18. x + 2 y = −6 x 0 y 0 -4 19. x + 3 =−2 x y -2 3 4 15. x + 5 = 0 20. 3 x − y = 9 x 0 y 0 4 V. Graph each linear equation. 21.= y −1 x+3 2 25. = y 2x − 3 22. y = 3 x 24. y = 2 26. 4 x − 5 y = −20 27. x = −1 VI. Find the slope and midpoint. 28. (2, 4) and (3, -5) 29. (7, -2) and (-3, -9) 30. (4, 5) and (4, -9) 31. (-2, 0) and (2, 4) VII. Write an equation of a line in slope-intercept form and standard form. 32. (2, 3) and (-2, 9) 33. m = 4, (0, -3) 34. m = -1/2, (-2, 9) 35. m = 5, (2, 4) 36. Through (7, 2); parallel to 3x – y = 8. 37. Through (-1, 3); parallel to –x + 3y = 12. 38. Through (8, 5); perpendicular to 2x – y = 7. 39. Through (2, -7); perpendicular to 5x + 2y = 18. VIII. Solve 40. A member in the Midwest Athletic Club cost $99, plus $41 per month. Let x represent the number of months and y represent the cost. How much does the first year’s membership cost? 41. There is a $30 fee to rent a chain saw, plus $6 per day. Let x represent the number of days the saw is rented and y represent the charge to the user in dollars. If the total charge is $138, for how many days is the saw rented?