FreeExam

Ohio's State Tests Algebra

Linear equations and inequalities, slope, systems, functions, exponents, and statistics.

These questions are original. This is not an official Ohio's State Tests exam, and FreeExam is not affiliated with the Ohio Department of Education and Workforce.

  1. 1.A bakery on High Street in Columbus still has to finish cookie rows. The count satisfies 4x + 6 = 34. What is x?

  2. 2.A ferry tally on the Maumee River in Toledo is written 5(n − 3) = 40. What is n?

  3. 3.Trail posts in Hocking Hills are spaced so that 7y − 9 = 26. What is y?

  4. 4.Two ticket desks at the Rock and Roll Hall of Fame in Cleveland set 6t + 4 = 2t + 20. What is t?

  5. 5.A canoe rental on the Scioto River in Columbus uses x/4 + 3 = 11. What is x?

  6. 6.A soil mix at a greenhouse in Dayton follows 3(2k + 1) = 27. What is k?

  7. 7.Crates leaving a warehouse in Akron satisfy 18 − 3m = 6. What is m?

  8. 8.A bookshop near the campus in Athens posts (x + 5)/2 = 9. What is x?

  9. 9.A mural crew in Cincinnati balances two counts with 8x + 3 = 5x + 18. What is x?

  10. 10.A lock record near Marietta uses 2(x − 7) = 3x − 26. What is x?

  11. 11.Jars at a farm stand in Lancaster follow 9p − 4 = 5p + 12. What is p?

  12. 12.A bike shop in Yellow Springs writes the spacing rule x/5 − 2 = 3. What is x?

  13. 13.A print shop in Springfield solves 4(2x − 3) = 20. What is x?

  14. 14.A dock ledger in Sandusky shows 15 = 6x − 9. What is x?

  15. 15.A pottery studio in Zanesville sets 7 − 2x = 3x − 8. What is x?

  16. 16.A market in Findlay posts (3x + 6)/3 = x + 4. Which statement describes the solution?

  17. 17.Which inequality is equivalent to −3x < 12?

  18. 18.A heater rule at a greenhouse in Wooster is 2x + 5 > 17. Which inequality describes x?

  19. 19.A loading limit in Mansfield is written −4x > 20. Which inequality describes x?

  20. 20.A canoe limit on the Olentangy River is x/3 − 4 ≤ 2. Which inequality describes x?

  21. 21.A fare cap in Dayton is written 5 − 2x ≥ 11. Which inequality describes x?

  22. 22.A display height at a museum in Canton satisfies −x + 8 < 3. Which inequality describes x?

  23. 23.A marker rule in Cuyahoga Valley says 3(x − 2) ≤ 15. Which inequality describes x?

  24. 24.A storage rule in Parma is −5x − 10 < 15. Which inequality describes x?

  25. 25.A pier measurement in Ashtabula satisfies 4x − 7 ≥ 2x + 9. Which inequality describes x?

  26. 26.A kiln note in Roseville says −2(x + 3) > 8. Which inequality describes x?

  27. 27.A bus-seat rule in Toledo is x/2 + 6 < 10. Which inequality describes x?

  28. 28.A warehouse in Lima uses 6 − x ≤ −4. Which inequality describes x?

  29. 29.What is the slope of the line through (0, −2) and (4, 6)?

  30. 30.A ramp in Cincinnati runs from (1, 3) to (5, 11) on a coordinate grid, in feet. What is the slope?

  31. 31.What is the slope of the line through (2, 9) and (6, 1)?

  32. 32.What is the slope of a vertical line?

  33. 33.A level towpath along the Ohio and Erie Canal is a horizontal line on a grid. What is its slope?

  34. 34.A bike path in Dublin is modeled by y = −3x + 7. What is the slope?

  35. 35.A line through (0, 4) has slope 1/2. Which equation is in slope-intercept form?

  36. 36.A street in Dayton follows y = 2x − 5. Which line is perpendicular to it?

  37. 37.Which line is parallel to y = −4x + 1 and is not the same line?

  38. 38.What is the slope of the line through (3, 5) and (3, 12)?

  39. 39.A fare graph for a Lake Erie ferry is y = 6x − 8. What is the y-intercept?

  40. 40.A line has slope 3 and passes through (2, 1). What is its y-intercept?

  41. 41.What is the slope of the line through (−2, 4) and (2, 4)?

  42. 42.A sidewalk in Grove City follows y = −x + 9. What is the slope?

  43. 43.Rewrite 2x + y = 10 in slope-intercept form.

  44. 44.What is the x-intercept of 3x + 2y = 12?

  45. 45.Where do y = x + 2 and y = 3x − 4 intersect?

  46. 46.How many solutions does the system y = 2x + 1 and y = 2x + 5 have?

  47. 47.Solve the system x + y = 10 and x − y = 4. Which ordered pair works?

  48. 48.Solve 2x + y = 11 and y = x − 1. Which ordered pair is the solution?

  49. 49.The equations y = −x + 6 and y = −x + 6 are graphed together. Which statement describes the solution set?

  50. 50.Solve 3x + 2y = 16 when x = 2. Which ordered pair is the solution?

  51. 51.What is the solution of 4x − y = 7 and 4x − y = 2?

  52. 52.Solve x + 2y = 8 and 3x − 2y = 8. Which ordered pair is the solution?

  53. 53.At a stand in Put-in-Bay, two bags and one bottle cost $8, and one bag and one bottle cost $5. How much is one bag?

  54. 54.Where do y = 5x and y = x + 12 meet?

  55. 55.Both equations in a system are 2x + 3y = 12. Which statement describes the solution set?

  56. 56.Solve 5x + y = 17 when y = 2. Which ordered pair is the solution?

  57. 57.Solve x = y + 4 and 2y + x = 16. Which ordered pair is the solution?

  58. 58.In Kent, plan A costs y = 15x + 20 dollars and plan B costs y = 20x + 5 dollars, with x in hours. For how many hours are the costs equal?

  59. 59.If f(x) = 3x − 4, what is f(5)?

  60. 60.If g(x) = x^2 − 1, what is g(4)?

  61. 61.If h(x) = −2x + 9, what is h(3)?

  62. 62.Which set of ordered pairs is a function?

  63. 63.If f(x) = 4x + 1 and f(x) = 21, what is x?

  64. 64.A cost model used in Newark is f(x) = 1/(x − 4). Which value cannot be in the domain?

  65. 65.If f(x) = 2x and g(x) = x + 5, what is f(g(3))?

  66. 66.If f(x) = x − 7, what is f(−2)?

  67. 67.Which relationship is a linear function?

  68. 68.A ride from John Glenn Columbus International Airport uses C(m) = 2m + 4, with m in miles. What is C(10)?

  69. 69.If f(x) = −x + 6, what is f(6)?

  70. 70.Which equation does not define y as a function of x?

  71. 71.If f(x) = 8 − x, what is f(f(3))?

  72. 72.The function f(x) = 2x + 1 is evaluated at the inputs 0, 1, and 2. What is the range for those inputs?

  73. 73.What is 10^2 × 10^4?

  74. 74.What is 10^8 ÷ 10^3?

  75. 75.What is (10^3)^2?

  76. 76.What is 5^0?

  77. 77.What is 2^(−3)?

  78. 78.How should 45,000 be written in scientific notation?

  79. 79.How should 0.0062 be written in scientific notation?

  80. 80.What is 3^2 × 3^3, written as a single power of 3?

  81. 81.What is 8^5 ÷ 8^5?

  82. 82.What is 4^2 × 4^1, written as a single power of 4?

  83. 83.Which product equals 10^7?

  84. 84.Simplify (4 × 10^3)(5 × 10^2) and write the product in scientific notation.

  85. 85.Simplify (8 × 10^6) ÷ (2 × 10^2) and write the quotient in scientific notation.

  86. 86.What is 3.04 × 10^2 written as an ordinary number?

  87. 87.Which expression is 90,000 written in scientific notation?

  88. 88.What is the positive solution of x^2 = 49?

  89. 89.What is the principal square root of 81?

  90. 90.What is the principal square root of 36/4?

  91. 91.What is the principal square root of 16 × 9?

  92. 92.The principal square root of 20 lies between which two consecutive whole numbers?

  93. 93.Which expression is √50 in simplest radical form?

  94. 94.What is the principal square root of 121?

  95. 95.A square garden in Chillicothe has an area of 64 square feet. What is the side length in feet?

  96. 96.What is the positive solution of x^2 = 1/4?

  97. 97.Which expression is √18 in simplest radical form?

  98. 98.What is (√7)^2?

  99. 99.Which number is irrational?

  100. 100.What is the mean of 5, 9, and 13?

  101. 101.What is the median of 4, 11, 7, 2, and 9?

  102. 102.What is the range of 14, 3, 20, and 8?

  103. 103.Attendance at four concerts in Warren was 6, 6, 9, and 10 hundred people. What is the mode of 6, 6, 9, and 10?

  104. 104.Quiz scores in Oberlin are 8, 10, and 12. What is the mean?

  105. 105.What is the median of 3, 4, 5, 6, and 40?

  106. 106.On a scatterplot, hours of rehearsal and points scored at a band contest in Warren rise together from left to right. Which association is that?

  107. 107.What is the mean of 2, 5, 5, and 8?

  108. 108.A line of fit for visitor counts in Cuyahoga Valley passes through (1, 12) and (3, 18). What is the slope of that line?