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SAT Math: Algebra

Linear equations, inequalities, systems, and linear functions.

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  1. 1.What is the solution of the inequality -3x < 12?

  2. 2.What is the slope of the line that passes through (1, 2) and (4, 11)?

  3. 3.Which pair solves the system x + y = 10 and x - y = 4?

  4. 4.A marina adds a $9 launch fee to $5 for each hour a kayak is out. The bill is $49. For how many hours was the kayak out?

  5. 5.After 12 jars are sold from a shipment, three times the number of jars left is 48. How many jars were shipped?

  6. 6.A survey line passes through (0, 6) and (4, -2). What is its slope?

  7. 7.A kiln log uses the equation 7x - 4 = 31 for the number of clay blocks fired. What is x?

  8. 8.Which solution set matches 5x + 3 ≤ 28?

  9. 9.For the linear function f(x) = 6x - 5, what is f(4)?

  10. 10.At which point does the graph of y = 3x + 8 meet the y-axis?

  11. 11.A gauge pair satisfies y = 2x + 1 and x + y = 13. What is the solution?

  12. 12.Which point lies on the line 3x - y = 5?

  13. 13.Which values of x satisfy -8x ≥ 40?

  14. 14.On a bridge plan, a cable runs straight from (1, 8) to (5, -4). What is the slope?

  15. 15.A banner length in feet satisfies 4(x + 3) = 2x + 22. What is x?

  16. 16.Which point satisfies both y < x + 2 and y ≥ 1?

  17. 17.A tutoring fee is the linear function C(h) = 24h, in dollars for h hours. What is C(5)?

  18. 18.What is the slope of the line 4x + y = 20?

  19. 19.Two counters satisfy 2x + y = 11 and x - y = 1. What is the solution?

  20. 20.A stock equation for beakers is 8m - 3 = 5m + 12. What is m?

  21. 21.Find every x that satisfies x/5 - 2 > 3.

  22. 22.A sidewalk diagram joins (3, 10) and (9, 10). What is the slope of that segment?

  23. 23.Which equation has slope 4 and y-intercept -7?

  24. 24.Two chapter counts add to 20, and the larger count is 6 more than the smaller count. What are the two counts?

  25. 25.A print count satisfies 5(2x - 1) = 35. What is x?

  26. 26.An elevator shaft is drawn through (6, -1) and (6, 9). What is the slope of that line?

  27. 27.The linear function f(x) = 3x - 12 equals 0 at which input?

  28. 28.The line y = -x + 5 is drawn solid, and the region on and below that line is shaded. Which inequality matches the shading?

  29. 29.A rider has already gone 8 miles and keeps a steady pace of 13 miles per hour. Which function gives the distance after t more hours?

  30. 30.Line m has slope 7. What is the slope of any line parallel to m?

  31. 31.Seat totals satisfy 3x + 2y = 16 and 3x - 2y = 8. What is the solution?

  32. 32.What value of x makes x/3 + 5 equal 11?

  33. 33.Which values of x satisfy -3(x - 2) > 15?

  34. 34.A loading ramp rises 6 feet over a horizontal run of 18 feet. What is its slope?

  35. 35.A linear sensor reads 2 at time 1 and 14 at time 4. What is the rate of change per unit of time?

  36. 36.Which ordered pair makes both y = x - 2 and 2x + y = 10 true?

  37. 37.What is the solution of 9x - 14 = 6x + 7?

  38. 38.A line passes through (0, -6) and (3, 3). What is its y-intercept?

  39. 39.A pack can hold at most 18 pounds and already holds 5 pounds. Let w be the additional pounds. Which inequality must w satisfy?

  40. 40.Where does the line 2x + 5y = 10 cross the x-axis?

  41. 41.Which number solves 0.5x + 3 = 10?

  42. 42.For g(x) = -3x + 8, what is g(2)?

  43. 43.Which equation is equivalent to 6x - 2y = 10?

  44. 44.A cash box holds 14 bills, each either a one-dollar bill or a five-dollar bill, worth $30 in all. How many of each bill are there?

  45. 45.Which inequality describes every solution of -6x < -18?

  46. 46.Two buoys are charted at (-5, 2) and (3, 2). What is the slope of the line that joins them?

  47. 47.A linear function h has h(0) = -2, and the output rises by 5 when the input rises by 1. Which equation matches h?

  48. 48.Which point is a solution of y > 2x - 1?

  49. 49.Luis and Maya have ages that add to 28, and Maya is 4 years older than Luis. How old is Luis?

  50. 50.Where does the graph of y = 6x - 18 cross the x-axis?

  51. 51.A cafe sold 25 pastries. Muffins were $3 each and scones were $2 each, for a total of $62. How many of each were sold?

  52. 52.What is the solution of -(x + 4) ≤ 6?

  53. 53.From the point (1, 5) to the point (7, 8), what is the slope of the straight path?

  54. 54.For p(x) = 5 - 2x, what is p(-3)?

  55. 55.Which equation has slope -2 and passes through (3, 1)?

  56. 56.How many solutions does the system x + 3y = 4 and 2x + 6y = 10 have?

  57. 57.How many solutions does the system 3x + y = 9 and 6x + 2y = 18 have?

  58. 58.A tank starts with 55 gallons and loses 4 gallons each minute. Which function gives the gallons left after m minutes?

  59. 59.Which line contains the point (5, -2)?

  60. 60.Which values of x satisfy 10 - 3x ≥ 2x?

  61. 61.Which equation describes the line through (0, -3) and (2, 5)?

  62. 62.Solve y = -x + 9 and 2x + y = 12.

  63. 63.What number makes (1/2)(x - 6) equal 9?

  64. 64.Which point satisfies x + y ≤ 4, x ≥ 0, and y ≥ 0?

  65. 65.Two front-row tickets cost $9 each. Balcony tickets cost $4 each. A group buys those two front-row tickets and some balcony tickets for $46. How many balcony tickets is that?

  66. 66.A line falls 4 units whenever it moves 2 units to the right. What is its slope?

  67. 67.For f(x) = 8x + 1, which input gives an output of 25?

  68. 68.What is the solution of -2 ≤ 3x + 1 < 13?

  69. 69.Which line is parallel to y = -3x + 1?

  70. 70.Solve the system 5x + y = 17 and 2x + y = 8.

  71. 71.Which number satisfies 3(x - 2) + 4 = 2x + 9?

  72. 72.Which inequality is equivalent to -x/4 > 2?

  73. 73.A seedling is 9 centimeters tall and then grows 2 centimeters each week at a steady rate. What is the slope of height versus weeks?

  74. 74.Printing n posters costs C(n) = 9n + 35 dollars. What does 35 represent?

  75. 75.Which point satisfies y - 4x = -5?

  76. 76.Two counts add to 18. The larger is 3 more than twice the smaller. What is the smaller count?

  77. 77.Which solution set is the same as -9x ≤ 36?

  78. 78.A charted descent goes from (5, 1) to (-1, 10). What is the slope?

  79. 79.A savings jar starts at $125 and receives $18 each month. Which equation gives the balance after m months?

  80. 80.Which point satisfies x - 2y ≥ 6?

  81. 81.What value of x satisfies 4x + 9 = 41?

  82. 82.In the equation y = -6x + 13, what is the y-intercept?

  83. 83.An ordered pair is a solution of a system of two linear equations when it has which property?

  84. 84.Nora earns 18 dollars an hour and spends 6 dollars of that day on a bus fare. Which expression is the pay left after h hours?

  85. 85.Which inequality matches -5(x + 1) < 20?

  86. 86.On a straight graph, y changes from -1 to 7 while x changes from 2 to 6. What is the slope?

  87. 87.The line y = kx + 5 passes through (3, 17). What is k?

  88. 88.A graph has the solid line y = x + 1 and shading above that line. Which inequality matches the graph?

  89. 89.A punch uses c cups of cranberry juice and s cups of soda, with c + s = 9 and c = 2s - 3. How much of each is used?

  90. 90.What is the equation of the horizontal line through (8, -4)?

  91. 91.If 2y - x = 14 and x = 4, what is y?

  92. 92.Which statement describes the solutions of 4x - 3 < 13 and x + 2 ≥ 6?

  93. 93.A shuttle charges $4 per mile plus a $7 booking fee. What is the cost of a 6-mile ride?

  94. 94.What is the slope of the line y - 5 = 6(x + 2)?

  95. 95.For the system x + y = 8 and 2x - y = 1, what is true of the pair (3, 5)?

  96. 96.A carton weighs 8 pounds. Each book added weighs 3 pounds, and the loaded carton must weigh less than 26 pounds. What is the greatest number of books that can be added?

  97. 97.Which phrase describes a line with slope -5?

  98. 98.A linear pattern lists (1, 4), (3, 10), and (5, 16). What is y when x = 7?

  99. 99.Solve 4x + 3y = 18 and 4x + y = 10.

  100. 100.Five less than twice a number is 17. What is the number?

  101. 101.For which value of k is the point (1, k) a solution of y < -2x + 6?

  102. 102.Which line is parallel to y = (2/3)x - 5 and passes through (0, 6)?

  103. 103.Solve x = y + 4 and 3x + y = 20.

  104. 104.Which values of x make 20 > -4x true?

  105. 105.A line has slope 0 and passes through (7, -3). Which other point is on that line?

  106. 106.A model says T = -4h + 62, where T is degrees and h is hours after noon. What does -4 represent?

  107. 107.Solve x/2 + y = 5 and x - y = 4.

  108. 108.What is the solution of 7(x - 2) = 3x + 6?