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California Assessment of Student Performance and Progress Mathematics Grade 11

One hundred eight questions on functions, equations, exponents, and data.

These questions are original. This is not an official California Assessment of Student Performance and Progress test, and FreeExam is not affiliated with the California Department of Education.

  1. 1.A tide chart for the Monterey canyon uses the inequality -3x < 12, where x is a change in meters. Which inequality gives the solution?

  2. 2.At a Vallejo ferry window, adult and youth tickets satisfy x + y = 6. Doubling every term produces 2x + 2y = 12. How many solutions does this system have?

  3. 3.Two painted-dash plans for an Oakland bike lane are y = 2x + 1 and y = 2x + 5, with x in miles. What is true of the system?

  4. 4.A Yosemite trail card uses f(x) = 2x + 5, with x equal to the number of switchbacks. What is f(4)?

  5. 5.A Mojave solar counter multiplies powers of ten. Which value equals 10^2 × 10^3?

  6. 6.A square courtyard in San Juan Capistrano has area given by x^2 = 49, with x in meters. What is the positive solution?

  7. 7.A Pinnacles ranger recorded 4, 8, and 12 condor sightings on three mornings. What is the mean of those three counts?

  8. 8.A Santa Cruz boardwalk profile passes through (0, -2) and (3, 7), with x in blocks and y in feet above the pier. What is the slope?

  9. 9.The Port of Long Beach logged 54,000 container moves in a report. Which product is 54,000 written in scientific notation?

  10. 10.A microscope slide from the Scripps pier shows a width of 0.0072 millimeters. Which expression is that width in scientific notation?

  11. 11.Which of these population figures for a Central Valley town is already written in scientific notation?

  12. 12.A snow survey compared 3.2 × 10^4 acre-feet in one Sierra basin with 3.2 × 10^3 acre-feet in another. Which amount is greater?

  13. 13.An observatory multiplies (2 × 10^3) by (3 × 10^2) when it combines two exposure counts. Which product is written in scientific notation?

  14. 14.A clerk wrote the cargo weight 48 × 10^5 pounds. Which rewrite is the same weight in scientific notation?

  15. 15.A channel marker label near Eureka uses 6.1 × 10^2. Which whole number equals that product?

  16. 16.A salinity reading in Morro Bay is recorded as 9 × 10^-1. Which decimal equals that product?

  17. 17.Overnight, a Lake Tahoe sensor used -2x > 10 for a temperature drop in degrees. Which inequality solves it?

  18. 18.A packing rule at a Salinas shed says -5x ≤ 20, where x is a change in crate rows. What is the solution?

  19. 19.Three equal crews share a cleanup, and the lead writes 3x < 12 to limit hours x at a Point Reyes beach. Which solution is correct?

  20. 20.A canal gate in the Imperial Valley follows -2x + 6 > 14, with x in hours since dawn. Which inequality describes x?

  21. 21.Rangers closed a trail segment in the Trinity Alps under the rule -4x ≤ 8, where x is a position marker. What is the solution?

  22. 22.On a Death Valley elevation change, a model says -x < 6. Which values of x satisfy it?

  23. 23.A budget for a Sacramento tree planting says -3x - 3 ≥ 9. Solve the inequality for x.

  24. 24.A San Diego harbor sensor uses -4d > 16 for a change d in meters. Which inequality is equivalent?

  25. 25.Which number satisfies the inequality -2x < 6 from a wind-speed drop recorded at Altamont Pass?

  26. 26.A half-rate leak at a Hetch Hetchy valve is modeled by -x/2 ≥ 5. What is the solution?

  27. 27.The rule -3x ≤ 9 limits a negative index on a Coit Tower climb chart. Which value is not a solution?

  28. 28.A kayak rental on Tomales Bay charges by y = 4x + 6, where x is the number of hours and y is the price in dollars. What is the y-intercept?

  29. 29.On a Napa hillside map, vine rows run from (1, 3) to (5, 11), measured in meters. What is the slope of that segment?

  30. 30.A bridge-toll table is summarized by C = 7n, where n is the number of crossings and C is the cost in dollars. What is the slope of this line?

  31. 31.Snow depth in a Tahoe basin falls from (0, 40) to (8, 16), with x in weeks and y in inches. What is the slope?

  32. 32.Depth in a Delta canal is modeled by d = -2t + 18, with t in hours after a gate opens and d in feet. What is the depth when t = 4?

  33. 33.A poppy count in the Antelope Valley follows y = -5x + 40, with x in weeks after peak bloom. For which x is y equal to 0?

  34. 34.A Palm Springs tram starts 200 feet above the station floor and then rises 15 feet each minute. Which equation gives the height h after m minutes?

  35. 35.Does the map point (3, 11) lie on the line y = 3x + 2 used for a Point Lobos boardwalk?

  36. 36.Fog along the Golden Gate is sketched as a line with slope 2 that crosses the y-axis at -4. Which equation matches that line?

  37. 37.A trail through Humboldt redwoods stays at height 5 from x = 2 to x = 6 on a ranger grid. What is the slope between those points?

  38. 38.A Big Sur cliff profile passes through (4, 1) and (4, 9) on a survey grid. How should the slope be described?

  39. 39.At a Santa Barbara market, basket price follows p = 2b + 3, with b the number of baskets and p the price in dollars. What is p when b = 7?

  40. 40.A Capitol Corridor fare sketch uses y = -x + 9. Which ordered pair is the y-intercept?

  41. 41.A Delta levee has slope -1/2 and crosses the vertical axis at 6. Which equation fits that profile?

  42. 42.Tide staff readings at San Pedro follow y = -4x + 20. What is y when x = 3?

  43. 43.A cyclist on the Pacific Coast Highway rides so that distance in miles is d = 12t, with t in hours. How far does the cyclist ride in 2.5 hours?

  44. 44.Shade cloth over a Fresno row is modeled by y = 3x - 1. Which equation is a different line parallel to it?

  45. 45.Crate counts in a Salinas warehouse line up as x = 0, 1, 2 and y = 5, 8, 11. What is the rate of change of y with respect to x?

  46. 46.An Elkhorn Slough count uses g(x) = x - 7. What is g(10)?

  47. 47.The beam schedule at Point Cabrillo uses h(t) = -2t + 30. What is h(6)?

  48. 48.Three dawn counts of brown pelicans at a Moss Landing jetty were 0, 6, and 9. What is the mean?

  49. 49.An Angel Island ferry uses r(x) = 3x + 1 for a waiting-time rule. What is r(2) + r(1)?

  50. 50.A camp stove model in Yosemite Valley uses f(x) = x^2 - 4. What is f(3)?

  51. 51.A Modesto grower uses c(b) = 4b + 2 for the cost of b bins. For which b is c(b) = 18?

  52. 52.A quail field guide says: triple the input, then subtract 1. Which function states that rule?

  53. 53.A Sacramento library volunteer logged 10, 20, 30, and 80 pages over four shifts. What is the mean number of pages?

  54. 54.A wind model near the Altamont turbines uses w(s) = s^2. What is w(-3)?

  55. 55.Shasta reservoir storage, in a simplified daily model, is v(t) = 100 - 4t. What is v(10)?

  56. 56.Wait times, in minutes, at a Muir Woods gate were 7, 2, 7, 2, and 9. What is the median?

  57. 57.Trail markers on Angel Island follow f(x) = x + 4. What is f(f(2))?

  58. 58.A plaza designer in Old Town San Diego solves x^2 = 16 for the signed offsets of a square layout. Which list gives both solutions?

  59. 59.A fountain jet near the San Diego Embarcadero uses h(t) = -t^2 + 9 for height in feet. What is h(0)?

  60. 60.A grape-arbor brace in Lodi satisfies x^2 - 5x = 0. Which pair lists both solutions?

  61. 61.A garden path at a Santa Cruz arboretum follows y = x^2 - 2x. What is y when x = 4?

  62. 62.A square patio in Balboa Park has area equation s^2 = 81, and the side length s is positive. What is s?

  63. 63.A Death Valley sensor reports y = x^2 + 1. What is the least value y can take?

  64. 64.An arch sketch for a Fort Bragg footbridge uses y = -x^2 + 4. In which direction does the parabola open?

  65. 65.Which pair gives the solutions of (x - 3)(x + 2) = 0 for the supports of a pier in Santa Barbara?

  66. 66.For a tiled mission walkway in Carmel, q(x) = (x - 1)^2. What is q(4)?

  67. 67.A plaza in San Luis Obispo satisfies x^2 - 9 = 0. The planner wants the positive solution only. What is that solution?

  68. 68.The curve y = x^2 - 4 models a dip in a Long Beach bike path. Where does the curve cross the y-axis?

  69. 69.A cable-sag estimate near Yosemite uses y = x^2 - x. Which ordered pair lies on that curve?

  70. 70.A Watsonville strawberry plot has width w meters and length w + 2 meters, and w(w + 2) = 15. Which positive width works?

  71. 71.A footbridge arch in Fort Bragg is written as y = (x - 2)^2 + 5. Which point is the vertex?

  72. 72.Beach readings in Cayucos were 4, 6, and 8 degrees above a local baseline, so the median was 6. If 8 is replaced by 20, what is the new median?

  73. 73.A La Jolla kelp patch covers 3 square meters and doubles each week. After 4 weeks of doubling, what area does that pattern give?

  74. 74.A culture on a slide at a Bodega Bay lab starts at 2 cells and triples every hour. After 3 hours, how many cells does that repeated multiplication give?

  75. 75.Lick Observatory staff simplify a count written as 10^6 ÷ 10^2. Which power of ten equals that quotient?

  76. 76.A Moss Landing power display shows (10^2)^3. Which single power equals that expression?

  77. 77.A native-plant nursery in Claremont starts with 80 seeds, and the viable count is halved each month. After 3 months of that pattern, how many seeds remain?

  78. 78.A Mountain View computing exhibit multiplies 2^3 by 2^4. Which expression equals that product?

  79. 79.A lighthouse code on the Mendocino coast treats 7^0 as a startup value. What is 7^0?

  80. 80.A lab notebook in La Jolla multiplies 10^3 by 10^-1 when it rescales a measurement. Which power of ten is the product?

  81. 81.A San Luis Obispo street fair models attendance as 4 × 3^n after n years of tripling from a start of 4 groups. How many groups is that when n = 2?

  82. 82.A Sacramento classroom jar holds 5 dollars and the amount doubles each month. Which expression is the amount after 6 months?

  83. 83.A Stockton warehouse code simplifies 5^8 ÷ 5^3. Which expression equals that quotient?

  84. 84.A delivery along Highway 99 uses d = rt for distance, rate, and time. Which equation gives the rate r?

  85. 85.A mural frame in San Francisco's Mission District has perimeter P = 2l + 2w. Which equation solves for the length l?

  86. 86.A kelp-forest poster has area A = lw. Which rearrangement gives the width w?

  87. 87.A student credit union in Berkeley uses I = Prt for simple interest. Which equation gives the time t?

  88. 88.A trail profile above Lake Tahoe is written y = mx + b. Which equation isolates the intercept b?

  89. 89.A Davis solar co-op uses E = Pt, with energy E, power P, and time t. Which equation gives P?

  90. 90.A Redlands citrus stand uses c = 3n + 6 for the cost of n bags. Which equation solves for n?

  91. 91.A Santa Monica tower uses y = 5x + 15, and the lead wants x by itself. Which equation is correct?

  92. 92.A canal-gate graph near Los Banos is y = -2x + 8. Which equation solves for x?

  93. 93.The mean of three buoy readings 5, 9, and n off Monterey is 8. What is n?

  94. 94.The mean of three harbor temperatures is M = (a + b + c) / 3. Which equation solves for a?

  95. 95.Three matching readings on a Monterey buoy are each 11. What is true of the mean and the median?

  96. 96.Irrigation lines in the Central Valley are y = x + 2 and y = -x + 8. Which point lies on both lines?

  97. 97.Ticket clerks in Richmond know that x + y = 10 and x - y = 2 for two kinds of fares. What are x and y?

  98. 98.Two tram cables in San Francisco are graphed as y = -x + 3 and y = -x - 1. How many solutions does the system have?

  99. 99.An Imperial Valley ditch is described by 3x - y = 6. A second note says 6x - 2y = 12. How many solutions does the pair have?

  100. 100.A bait shop on the Bodega Bay pier uses y = 2x together with x + y = 12. Which ordered pair solves the system?

  101. 101.A farm stand near Gilroy sells peppers and squash under 2x + y = 11 and x + y = 7. What is the solution?

  102. 102.One pier log in Crescent City says x + y = 4, and a later log says x + y = 9, for the same two boat counts. What follows?

  103. 103.Two Oroville reservoir readings add to 20, and the larger reading minus the smaller reading is 6. What are the two readings?

  104. 104.On a city grid in Oakland, one path is the horizontal line y = 4 and another is the vertical line x = -1. Where do they meet?

  105. 105.A packing shed in Fresno needs both x + y = 5 and 2x + y = 8. Which pair works?

  106. 106.Along the California Aqueduct, 4x + y = 10 and the second reading is fixed at y = 2. What is x?

  107. 107.Pelican counts on three Pillar Point mornings were 3, 9, and 5. What is the median?

  108. 108.Dawn temperatures in Eureka, in degrees Celsius, were 2, 8, 4, and 14. What is the median?