\fEvaluate the expression for the given value of the variables. 18. 2ac - b if a = 2, b = 4, and c = 5 19 . 4 c +b when b = - 2, c = - 3, and d = -5. 3 ( 2 - d ) 20. 3x -4, when x = - 3 21. Vx 3 +12, when x = 81 Translate the verbal expression or situation into an algebraic expression, equation, or inequality. 22. "six times the sum of a number xand 5" 6x+5 23. "two less than three times n is four more than n." 24. "Negative two is less than seven". 25. "the difference of 15 and xis equal to twice the sum of xand 3" Write an equation for each situation and solve. 26. The perimeter of a square flower garden is 96 feet. How long is each side of the garden? 27. Twenty-one more than a number is (-10). What is the number?28. The perimeter of a rectangle is 220 cm and the width is 35 cm. Find the length of the rectangle. 29. The length of a rectangle is 6 feet more than its width. If the perimeter is 216 feet, find the dimensions of the rectangle. 30. Is the point (5, -2) a solution to 10x + 8y = 26? Solve the equation for the stated variable. 31. x + 2y = 8 for y 32. 2x - 3y = 9 fory Solve the equation. 33. 3x - 2 = 10 34. 8(w + 1) - 6w = 26 35. 5x - 7 = 3x + 15 36. 3x - 4+7x = 10x +539. 2x - 3 37. x 2x+1 38. x +3 = A / W = 12 6 2 8x - 3 40. There are 68 dogs in the kennel and 46 cats. What is the ratio of the number of cats to total number of animals? 41. Ben is making ice cream and his recipe calls for 4 cups of cream and yields 1.5 quarts of ice cream. Ben wants to make 1 gallon of ice cream. How many cups of cream does he need? (4 quarts = 1 gallon) 42. The function y = 3x - 1 has a domain of {- 2, 0, 1, 3}. Find the range. 43. Find the slope of a line through (3, 2) and (-5, -4) 44. You go to ET&T to buy a prepaid phone. Your phone is a flat fee and you purchase minutes each month. The table below shows the total cost for purchasing various amounts of minutes. What is the cost per minute? Minutes Cost 50 $6.50 150 $19.50 250 $32.50Identify the slope and y-intercept of the line in #45-46. 45. y = -2x + 5 46. 7x - 5y = 45 47. What are the x and y intercepts of the line: - 5x + 6y = -30 Use the graph below for problems 48 and 49. 48. What is the equation of the graphed line? 49. What is the slope of the line graphed? Graph the equations on the coordinate plane provided. Label each line drawn with the problem number. 50. y = - x- 2 51. y = - 3x +1 52. x = - 7 53. 3x - 4y = 24._____ Write an equation in slope intercept form using the given information. 54. slope: 6 y intercept: 3 55. m 1 through (1, 3) 56. through (1, 4) and (7, 7) 2 Write an equation in slope intercept form using the given information. 57. through ( 1,5) 58. through (12,3) parallel to y = 4x + 7 perpendicular to y = - 3x - 2 59. Write an equation in point-slope form ofthe line that passes through (9, 3) and has a slope of g. 60. Write the equations of the horizontal and vertical lines through the point (- 5,7). Horizontal: Vertical: 61. Given the rule, an = 2 + 4(n 1). Find the 100'h term ofthe sequence. 62. Given the rule, an = 3 2(n 1). Find the 17th term of the sequence. 63. Write a rule for the nth term ofthe sequence, an = a1 + d(n 1). 12, 5, 2,9, 16 Solve the inequality. Graph your solution. 64. x+ 2 - 2x Graph the inequality statement. 68. x > 3 and x s 5 69. x > 7orx 9 For problems #74-76, use the function f(x) = -4x+ 2 74 . Find f (2) 75. Find f(x) when x = -7 76. Find x when f(x) = 677. Amanda goes to the store to buy $100 worth of bottled water and canned goods to prepare for tornado season. A case of water is $4 and each canned good costs $0.75. a. Write an equation that represents how much of each item she can buy. b. If Amanda purchases 10 cases of water, how many canned goods can she purchase? 78. Dave wants to send a gift package to his sister. He paid one fixed amount for the gift, and must pay a $4.50 per pound to ship it. If his gift package weighs 5 pounds, it would cost a total of $52.50 altogether (including the shipping and the gift). Write an equation that models the total amount of money (y) as a function of the weight of the package (x). 79 . The table shows the number of inches of total rain during a 6 hour thunderstorm. Write an equation that models the amount of precipitation as a function of time. Hour (x) 1 2 3 4 5 6 Rainfall (y) 1.25 1.75 2.25 2.75 3.25 3.7580. Match each correlation coefficient to the graphs below. r = -0.77 r = -0.46 r = 0.31 r = 0.97 A. B. . : . C. . . D. 81. A fire marshal is studying how the weight of equipment affects the speed a firefighter is able to run. After compiling a data set comparing weight(in pounds), and speed (in miles per hour) she calculated a least- squares regression line with the equation: y = -0.34x+ 12 If x represents the weight of equipment and y represents running speed, write a sentence that describes the meaning of the slope, in context. 82. The scatterplot given shows the relationship between grade point average and video gaming hours. Which is NOT true about the scatterplot or relationship? A. There is a negative correlation. B. As grade point average increases, video gaming hours decreases. C. The person with the highest GPA in the set plays no video games Hours of video games played D. The correlation coefficient might be about r = 0.67. Grade Point AverageSolve each system of equations. (Hint: Use elimination, substitution, or graphing.) 83. y = -2x+9 5x - 2y =18 * =- 264)+9 20x + 4y = 36 84 . 10x -7y =-18 5 * - 2 (-2x49 ) = 18-4--8+9 y = 1 5* +4 x- 18= 18 9* = 18+18 ( 4, 1 Ax = 36 X= 4 85. xty =6 5x + 2y =22 x = 3y +10 86. X - 1= 6 3x+7y=-10 3v +10ty = 6 X = T 3 yty = 6 - 10 ( 7 , -1) 4 y = - 4 Y = - 1 87. x = 2y 2x - 3y = 12 3x + 2y = 64 88. -2x+ 2y = 10 3 (2 4 24= 64 89. Suppose you and your friends form a band. You want to record a demo. Studio A rents for $100 plus $15/hour. Studio B rents for $50 plus $35/hour. After how many hours will the cost be the same at either Studio A or B? 90. On Uncle Ted's farm, he raises cows and ducks. Each cow has 4 legs and each duck has 2 legs. There are 128 legs and 52 animals on the farm. How many cows and ducks are on the farm