FreeExam

Virginia Standards of Learning End-of-Course Algebra I

Linear and quadratic equations, functions, and graphs.

These questions are original. This is not an official Virginia Standards of Learning test, and FreeExam is not affiliated with the Virginia Department of Education.

  1. 1.Along the James River floodwall in Richmond, a crew follows 3x + 5 = 26, where x is the number of panels still to bolt. What is x?

  2. 2.A harbor chart in Norfolk marks draft with 4(d - 3) = 28, where d is the depth in feet. Which value of d fits the chart?

  3. 3.Two rental formulas at a Virginia Beach boardwalk booth are set equal: 2n + 9 = 5n - 6. What value of n makes them agree?

  4. 4.Pickers in a Timberville orchard use x/4 + 3 = 11, where x is the number of crates on a wagon. What is x?

  5. 5.A trail log near Afton, on the Blue Ridge Parkway, uses 7 - 2m = 15, where m is a mile marker adjustment that may be negative. What is m?

  6. 6.The print shop on the Downtown Mall in Charlottesville balances reams with 6(y + 2) = 2(2y + 11). What is y?

  7. 7.A trolley balance in downtown Roanoke follows (3/2)p - 4 = 11, where p is a fare credit. What is p?

  8. 8.A gate mark at a Williamsburg visitor lot satisfies |w - 4| = 9, where w is a position in feet and may be negative. Which pair solves the equation?

  9. 9.Pier timbers in Alexandria are cut from (1/2)x + 3/2 = 4, where x is the length in meters. What is x?

  10. 10.A parking meter on Wilson Boulevard in Arlington is programmed with 9(k + 2) - 4k = 28. What is k?

  11. 11.Stone steps below Court House Hill in Lynchburg follow (2x - 6)/3 = 4. What is x?

  12. 12.A bridge note in Fredericksburg gives the load as P = 2L + 6W. Which expression equals L?

  13. 13.A gravel path on Belle Isle in Richmond runs from (2, 4) to (8, 10) on a site map. What is the midpoint of the path?

  14. 14.Survey stakes in Chincoteague run from (1, 2) to (5, 10) on a marsh map. What is the slope of the line through those stakes?

  15. 15.A switchback on the New River Trail near Galax drops from (3, 9) to (7, 1). What is the slope of that segment?

  16. 16.A road through Deep Creek, in Chesapeake, has slope 3/4. A drainage ditch is drawn parallel to that road. What is the slope of the ditch?

  17. 17.Roofers in Staunton set a beam with slope 2. A brace must be perpendicular to that beam. What slope should the brace have?

  18. 18.The seawall walk in Yorktown crosses the vertical axis at (0, 4) and falls with slope -3. Which equation matches the walk?

  19. 19.A commuter path in Leesburg passes through (2, 5) with slope 4. Which equation describes the path?

  20. 20.Two readings on a Hopewell gauge, (1, 3) and (3, 7), lie on a straight line. Which equation fits both readings?

  21. 21.A Hampton ferry log shows 10 open seats at hour 0, 6 open seats at hour 2, and 2 open seats at hour 4. The points lie on a line. What is the slope?

  22. 22.A tide board in Poquoson stays at height y = 5 from x = 1 to x = 9. What is the slope of that waterline?

  23. 23.A piling at the Portsmouth waterfront is drawn as the vertical line x = 6. What is the slope of that line?

  24. 24.Crates at a Winchester apple stand follow y = -2x + 18, where x is the day and y is the number of crates left. What does the y-intercept tell you?

  25. 25.Morning orders at a bakery in Ashland use x + y = 12 and x = y + 2, where x is trays of rolls and y is trays of biscuits. What is the solution (x, y)?

  26. 26.A Newport News warehouse solves 2x + y = 13 and x - y = 2. What is the solution (x, y)?

  27. 27.A charter desk in Cape Charles uses 3x + 2y = 16 and x + 2y = 8. What ordered pair solves both equations?

  28. 28.The gift shop at Luray sells adult tickets for $8 and youth tickets for $5. One group buys 10 tickets for $71. How many of each ticket are in the group?

  29. 29.A mapping class in Waynesboro studies 2x - y = 4 and 4x - 2y = 9. Which statement describes this system?

  30. 30.A farm stand in Crozet posts 3x + y = 6 and 6x + 2y = 12. Which statement describes this system?

  31. 31.A mural team in Salem uses y = 2x - 1 and 3x + y = 14. What is the solution (x, y)?

  32. 32.Two ticket plans in Jamestown satisfy 4x + 3y = 18 and 2x - 3y = 0. What ordered pair solves the system?

  33. 33.A bookshop in Fairfax City solves x + 2y = 11 and 3x - 2y = 9. Which ordered pair is the solution?

  34. 34.A poster sale in Falls Church collects $46 for 4 large posters and 6 small prints. Another sale collects $22 for 2 large posters and 2 small prints. What is each price?

  35. 35.A rental shop in Bedford has bikes b and scooters s satisfying b + s = 14 and 2b + s = 20. How many of each are out?

  36. 36.A kayak on the Rappahannock at Tappahannock goes 9 miles per hour downstream and 5 miles per hour upstream in a steady current. What are the still-water speed and the current?

  37. 37.A loading rule in Henrico says 4x - 3 > 13, where x is the number of extra braces. Which solution describes x?

  38. 38.A ballast check in Chesapeake uses -2x + 6 ≤ 10. Which solution describes x?

  39. 39.A volunteer roster in Sandbridge must satisfy 3 < 2n + 1 ≤ 11. Which solution describes n?

  40. 40.A shade rule for a plaza garden in Reston is y > 2x - 1. Which point satisfies the inequality?

  41. 41.An orchard gate in Elkton uses -3(x - 2) < 9. Which solution describes x?

  42. 42.Rangers at the Front Royal entrance allow at most 15 people in a shelter group, and 4 guides are already included. If v is the number of additional visitors, which inequality matches the rule?

  43. 43.A lab threshold in Scottsville uses 5 - x ≥ 2. Which solution describes x?

  44. 44.A market booth in Vinton opens only when y ≥ 2 and x + y < 8, where x and y count two kinds of tables. Which point satisfies both conditions?

  45. 45.A stage mark in Gloucester is acceptable when |x - 3| ≤ 4, where x is the position in feet. Which solution describes x?

  46. 46.A retaining-wall rule in Occoquan has the graph of y ≥ -x + 4. Which description matches the graph?

  47. 47.A meter rule in Vienna uses x/2 - 3 > 1. Which solution describes x?

  48. 48.A nursery in Suffolk will spend less than $90. Flats cost $6 each, and delivery costs $12. Which inequality describes the number of flats f?

  49. 49.A wind-tunnel note in Blacksburg multiplies x^5 by x^3. Which expression is equivalent?

  50. 50.A tide model in Onancock divides m^9 by m^4, with m not equal to 0. Which expression equals that quotient?

  51. 51.A kiln log in Kilmarnock simplifies (n^4)^3. Which expression is equivalent?

  52. 52.A scale factor on a Harrisonburg photo is 3 to the power -2. Which value equals 3^(-2)?

  53. 53.On a trail counter near Lovingston, k is a nonzero number of hikers. What is the value of (7k)^0?

  54. 54.A greenhouse ledger in Palmyra multiplies 4x^3 by 3x^2. Which product is correct?

  55. 55.A mill record in Radford divides 20a^6 by 4a^2, with a not equal to 0. What is the quotient?

  56. 56.A banner pattern in West Point uses (2y^3)^4. Which expression is equivalent?

  57. 57.A lab ratio in Herndon is p^(-3), and p is not 0. Which expression is equivalent?

  58. 58.A payload note at Wallops Flight Facility, in Accomack County, multiplies (3 × 10^4) by (2 × 10^3). Which product is in scientific notation?

  59. 59.A census table in Farmville divides (8 × 10^6) by (2 × 10^2). Which quotient is in scientific notation?

  60. 60.A recipe card in Culpeper simplifies (x^2 y^5) / (x^(-1) y^2), with x and y not equal to 0. Which expression is equivalent?

  61. 61.Garden beds in Mechanicsville combine (3x^2 + 2x - 5) and (x^2 - 6x + 1). What is the sum?

  62. 62.A net repair in Smithfield subtracts (2x^2 - x) from (5x^2 + 3x). What polynomial remains?

  63. 63.A window frame in Irvington measures (x + 4) by (x - 2). Which polynomial is the area?

  64. 64.A cold frame in Monterey measures (2x - 3) by (x + 5). What is the area as a polynomial?

  65. 65.A quilt block in Floyd has area x^2 + 7x + 12 and is factored into two binomials. Which factorization is correct?

  66. 66.A square courtyard in Gordonsville has area x^2 - 9. Which factorization is correct?

  67. 67.A truss pattern in Pulaski uses 2x^2 + 7x + 3. Which factorization is correct?

  68. 68.A banner width in Colonial Beach is modeled by x^2 - 5x. Which expression is the complete factored form?

  69. 69.A patio in McLean is a square with side x + 6. Which polynomial is the area?

  70. 70.A sign shop in Manassas factors x^2 - 4x - 21. Which factorization is correct?

  71. 71.A ledger in Appomattox subtracts (x^2 + 3x - 2) from (4x^2 - x + 7). What is the difference?

  72. 72.A crate stencil in Orange multiplies 3x by (2x^2 - 5x + 4). What is the product?

  73. 73.A fountain basin in Petersburg is modeled by x^2 - 5x + 6 = 0. What are the solutions?

  74. 74.A dock measurement in Reedville uses x^2 = 49. Which statement gives every solution?

  75. 75.An arch model at First Landing State Park in Virginia Beach is y = (x - 4)^2 + 1. What is the vertex?

  76. 76.A footbridge equation at Natural Bridge is x^2 + 2x - 8 = 0. What are the solutions?

  77. 77.A hill model in Buena Vista is y = x^2 - 6x + 5. What are the zeros of the function?

  78. 78.A lens formula in Louisa is x^2 + 4x + 5 = 0. How many real solutions does it have?

  79. 79.A fountain jet in Covington follows y = -2(x - 3)^2 + 8. What is the maximum value of y?

  80. 80.A garden bed in Charles City has area x^2 + 8x + 15, and one side is x + 3. What is the other side?

  81. 81.A greenhouse curve in Abingdon is y = 2x^2 - 3x + 7. Which statement describes the graph?

  82. 82.A survey equation in Warrenton is x^2 - 4x - 1 = 0. Which expression gives the exact solutions?

  83. 83.A cable curve in Clifton Forge is y = x^2 + 8x + 1. What is the equation of the axis of symmetry?

  84. 84.Tile offsets in Emporia satisfy 2x^2 - 8 = 0. What are the solutions?

  85. 85.A walking map in Danville pairs each stop number with a photo count. Which set of ordered pairs is a function?

  86. 86.A ferry fare in Phoebus, part of Hampton, is f(x) = 3x - 4, where x is the number of riders in a party. What is f(5)?

  87. 87.A driver leaving Virginia Beach records miles as d(t) = 40t, where t is hours after departure, and the record covers only the first 3 hours. What is the domain of this model?

  88. 88.For every real x, a valley model near Hot Springs is f(x) = x^2 + 2. What is the range?

  89. 89.A toll function in Purcellville is f(x) = 2x + 6. Which expression is the inverse function?

  90. 90.A table in Bristol lists inputs 0, 1, 2, and 3 with outputs 4, 7, 10, and 13. Which equation fits every pair?

  91. 91.A countdown clock in Wytheville uses f(x) = -x + 9. For which x is f(x) = 2?

  92. 92.A ball toss on a field in Lexington is modeled by h(t) = -t^2 + 6t, where h is height in feet and t is seconds. What is h(2)?

  93. 93.A ferry schedule in Urbanna is the function with ordered pairs (0, 3), (2, 3), and (4, 7). What is the range?

  94. 94.A shop in Middleburg uses f(x) = x - 5 and then g(x) = 4x. What is g(f(3))?

  95. 95.A water tank in South Boston starts with 50 gallons and drains 4 gallons per minute. Which function gives the gallons left after m minutes?

  96. 96.In Chase City, a clerk compares f(x) = 5x and g(x) = x^2 from x = 1 to x = 3. Which statement about the increase is correct?

  97. 97.Four daily rainfall totals in Richmond, in millimeters, are 2, 4, 6, and 12. What is the mean?

  98. 98.A crab boat at Tangier Island records catches of 9, 1, 7, 3, and 4. What is the median?

  99. 99.Afternoon temperatures in Virginia Beach, in degrees Celsius, are 12, 5, 18, and 9. What is the range?

  100. 100.A line of best fit for a Henrico classroom is s = 8h + 50, where h is hours studied and s is the quiz score. What score does the model predict for 4 hours?

  101. 101.Along the Chesapeake Bay near Mathews, hot-soup sales fall as the afternoon temperature rises. Which phrase best describes the association?

  102. 102.Trail lengths, in miles, logged by a club in Staunton are 5, 5, 5, 5, and 25. Which measure of center is pulled upward by the value 25?

  103. 103.Two Winchester orchards record apple weights in ounces. Orchard A: 6, 6, 6, 6. Orchard B: 2, 6, 6, 10. Which orchard has the greater standard deviation?

  104. 104.A line of best fit for a Harrisonburg science fair is y = 2x + 1. When x = 3, the actual y-value is 8. The residual is the actual value minus the predicted value. What is the residual?

  105. 105.Peanuts left in a Suffolk warehouse follow n = -3d + 40, where d is the day and n is the number of tons. What does -3 mean in this model?

  106. 106.Quiz scores in a Martinsville class are 2, 6, 8, and 10. What is the median?

  107. 107.Ages and heights of young trees in a Petersburg park lie close to a straight line that rises as age increases. Which model fits best?

  108. 108.A reservoir model at Smith Mountain Lake is y = -5x + 100, where x is weeks of dry weather and y is the predicted percent full. For which x is the predicted percent 75?