Pennsylvania Keystone Exams Algebra I

1.A bakery order sheet shows that three trays of rolls plus five loose rolls equal twenty-six rolls, written 3x + 5 = 26, so what is x?

2.A print shop doubles a stack that is four sheets shorter than a full pack, and that doubled stack has 18 sheets, so 2(x - 4) = 18 gives which value of x?

3.A trail map places a marker at (1, 4) and another at (5, 16), so what is the slope between those two points?

4.A canal lock rule is written -3x > 12, and dividing by a negative number must flip the inequality, so which solution is correct?

5.A greenhouse order uses 4x + 2y = 18 and 4x + 2y = 10, so how many solutions does that system have?

6.A covered-bridge planner graphs y = 2x + 1 and y = -x + 10, so at which point do the lines meet?

7.A band-room inventory computes 2 cubed times 5 while counting spare drum lugs, so which value is that product?

8.A river gauge follows f(x) = 4x - 1, so what is f(3) when x counts the hours after dawn?

9.Six identical pump strokes lift the canal lock by 42 feet in total, so how many feet does one stroke lift?

10.The print shop combines four cartons of black ink with three more cartons of the same size and counts 21 tubes, so how many tubes are in one carton?

11.A print-shop cost line has slope 3 and crosses the vertical axis at 2, so which equation matches?

12.Cookie trays on the bakery order sheet satisfy both 2x + 4y = 12 and x + 2y = 6, so what best describes the solutions?

13.Water checks at the canal lock read 4, 9, 14, and 19 feet, so what is the next reading if the common difference stays constant?

14.While counting chairs, the band room evaluates 8 + 4 × 3, so what is that total?

15.Each turn pays out 4 feet of canal-lock chain after a 6-foot lead, and the paid-out length is 34 feet, so how many turns were made?

16.Each of two canal-lock gates is painted with 3 fewer gallons than a full can, and the two gates use 22 gallons, so how many gallons does a full can hold?

17.Canal-lock water marks move from (2, 5) to (6, 13), so what is the slope of that change?

18.A canal barge is allowed through only when its clearance, three feet more than x, is above 8 feet, so which inequality must x satisfy?

19.A print clerk writes 2x + y = 7 for Monday and 2x + y = 3 for Tuesday using the same poster sizes, so what does that pair of equations have?

20.Print-shop lines y = x + 2 and y = 3x - 4 meet at which point?

21.A canal log multiplies 10^2 by 10^3 while scaling a depth table, so what is the product as a single power of 10?

22.After five minutes the canal-lock rule f(x) = 2x + 6 is evaluated at that time, so what number does the rule return?

23.Four copies of the creek spur on the trail map measure 28 miles altogether, so how long is the spur?

24.A greenhouse worker sets out eight stacks of clay pots and then carries three of those stacks away, leaving 25 pots, so how many pots are in one stack?

25.Seedlings in the greenhouse start 5 centimeters tall and grow 2 centimeters each week, so which equation models the height?

26.Cable measurements at the canal lock are y = 4x - 1 and 2y = 8x - 2, so what best describes the solutions?

27.Posted miles on one trail read 3, 8, 13, and 18, so what is the common difference?

28.Staff read the river gauge with the expression 18 - 6 ÷ 2, so what is the value?

29.A hiker climbs 8 meters on every later switchback after a 15-meter opening pitch and reaches 55 meters on the trail map, so how many later switchbacks are there?

30.Each of three trail crews places 2 markers more than the base number, and the crews place 27 markers, so what is the base number?

31.An overlook graph on the trail map runs from (0, 2) to (3, 14), so what is the slope?

32.Rangers accept a trail-map grade only if twice the listed angle is at least 16 degrees, so which inequality must that angle satisfy?

33.Vent graphs in the greenhouse are y = 3x + 1 and y = 3x + 6, so what best describes their intersection?

34.Greenhouse lines y = 4x - 2 and y = x + 7 meet at which point?

35.A trail map divides 2^7 by 2^3 when scaling a distance, so what is the quotient as a single power of 2?

36.With 20 miles already walked, the trail-map rule g(x) = x - 9 gives the miles still listed, so what does g(20) equal?

37.Nine matching reams on the print-shop scale weigh 108 pounds, so what is the weight of one ream?

38.Covered-bridge carpenters pour six boxes of nails together with two more boxes and reach 48 nails, so how many nails does one box hold?

39.Covered-bridge plank costs start at 40 dollars and rise by 15 dollars per plank, so which equation models the cost?

40.Two blaze totals on the trail map are 3x + y = 9 and 6x + 2y = 18, so what best describes the solutions?

41.Invoice numbers 12, 17, 22, and 27 leave the print shop in that order, so what number is printed next if the common difference stays constant?

42.The frosting line on a bakery order is 3 + 2 × (4 + 1) cookies, so what is that amount?

43.Posters at the print shop cost 3 dollars each after a 12-dollar plate fee, and one invoice is 57 dollars, so how many posters were printed?

44.Every one of four print-shop packs is 5 sheets short of a full ream, and the four packs contain 48 sheets, so how many sheets make a full ream?

45.A print-shop job graph passes through (1, 9) and (4, 24), so what is the slope?

46.Copy costs stay inside the print-shop budget only when five times the price is 45 dollars or less, so which inequality must the price satisfy?

47.Two load checks on the covered bridge are 5x - y = 8 and 5x - y = 1, so what best describes the solutions?

48.A covered-bridge crew uses x + y = 12 and x - y = 4, so which pair (x, y) solves the system?

49.The print shop simplifies (3^2)^4 on a toner formula, so which single power of 3 matches?

50.A four-color print job is scored by h(x) = 5x + 2, so what page count does h(4) give?

51.Dividing the greenhouse seed total by 4 fills each cup with 9 seeds, so how many seeds were counted?

52.Band-room students gather nine bundles of drumsticks and then give four bundles back, keeping 30 sticks, so how many sticks are in one bundle?

53.Headphone rental in the band room starts with 7 dollars and adds 4 dollars each hour, so which equation models the charge?

54.Label counts at the print shop are x - y = 2 and 4x - 4y = 8, so what best describes the solutions?

55.Seedling trays hold 6, 10, 14, and 18 plants in that order, so how many plants are in the 6th tray if the common difference stays constant?

56.Lock workers compute (9 - 3) × 4 + 2 bolts for a canal gate, so what is that count?

57.Each greenhouse mister runs for 5 minutes and the hose check adds 9 minutes, for a logged total of 49 minutes, so how many misters ran?

58.Every greenhouse flat holds one seedling more than the base count, and five flats hold 40 seedlings, so what is the base count?

59.A covered-bridge ramp drops from (2, 11) to (6, 3), so what is the slope?

60.Practice may continue in the band room only while negative two times the speaker setting is below 10, so which inequality must that setting satisfy?

61.Band-room counts satisfy 2x + y = 11 and x + y = 7, so which pair (x, y) solves the system?

62.A greenhouse label evaluates 7^0 for an empty tray code, so what is that value?

63.After three trays are filled, the greenhouse rule p(x) = 10 - x counts pots still empty, so what is p(3)?

64.Adding 18 bolts to the covered-bridge chord produced a count of 53, so how many bolts were already there?

65.A technician joins a two-unit river-gauge block to a five-unit block of the same unit length and measures 28 inches, so how many inches long is one unit?

66.A river gauge starts at 12 inches and falls 3 inches each hour, so which equation models the reading?

67.Brace piles of 5, 11, 17, and 23 sit along the covered bridge, so what is the common difference?

68.Hikers simplify 20 ÷ 4 + 3 × 2 while reading the trail map, so what number do they get?

69.Crews lay 6 covered-bridge planks each hour after 4 planks are already set, and the tally reaches 40 planks, so how many hours do they lay planks?

70.Every covered-bridge section uses 2 fewer braces than the pattern calls for, and six sections use 36 braces, so what does the pattern call for?

71.A band-room chart of cases goes from (1, 1) to (7, 4), so what is the slope?

72.Flood staff call the river safe only when negative four times the hourly change is above 20, so which inequality must that change satisfy?

73.River-gauge lines y = 5x and y = 2x + 9 meet at which point?

74.A covered-bridge note evaluates 2 to the power of negative 3, so which value matches?

75.During hour six of the covered-bridge repair, q(t) = 3t + 8 counts nails used, so what is q(6)?

76.Removing 14 cracked stands left 29 usable stands in the band room, so how many stands were there at first?

77.Bakers stack ten bundles of bags and then remove six bundles, leaving 16 bags on the order sheet, so how many bags are in one bundle?

78.Prices on the bakery order sheet follow a line with slope 6 and vertical intercept 1, so which equation matches?

79.Metronome settings 40, 48, 56, and 64 are used in that order during rehearsal, so what setting comes next if the common difference stays constant?

80.A printer evaluates 5 × 3^2 when pricing a squared color job, so what is that value?

81.Five folders sit in each new band-room box and 11 more folders are already on the shelf, making 46 folders in all, so how many new boxes arrived?

82.The night baker keeps dough out only while negative five times the timer reading is 15 or less, so which inequality must that reading satisfy?

83.Band-room shelf labels use 10 cubed, so which whole number is that power?

84.Morning river readings of 2, 7, 12, and 17 inches continue with the same common difference, so what is the 8th reading?

85.Greenhouse staff evaluate 16 - 2 × (3 + 1) for remaining seed packs, so what is the result?

86.The river gauge climbs 2 inches an hour from a 9-inch start and stops at 25 inches, so how many hours did it climb?

87.Hikers leave the ridge on the trail map once negative six times the wind score is 18 or higher, so which inequality must that score satisfy?

88.A river gauge writes 4 times 10 to the second power as a whole number of inches, so what is that number?

89.Roll totals 9, 13, 17, and 21 appear down the bakery order sheet, so what is the common difference?

90.Repair notes show 4 + 4 ÷ 2 + 6 boards for the covered bridge, so what is that value?

91.Scaling a frosting recipe multiplies 3^2 by 3^3 on the bakery order sheet, so what is the product as a single power of 3?

92.Canal staff record a first water reading of 7 feet and then add 3 feet at each later check, so what is the 10th reading?

93.The band director evaluates 2 × (8 - 3)^2 for a rhythm count, so what is the result?

94.Lock depths divide 10^6 by 10^2, so what is the quotient as a single power of 10?

95.A trail log starts at 15 meters and drops 2 meters at every later marker, so what height is the 6th marker?

96.Gauge clerks compute 6 × 4 - 10 ÷ 2 inches of change, so what is the result?

97.A trail distance of 10 squared meters is printed on the map legend, so which whole number is that area?

98.Job tickets in the print shop start at 4 and rise by 6 for each later ticket, so what is the 5th ticket number?

99.Bakers simplify 30 ÷ (2 + 3) × 2 on the order sheet, so what number do they get?

100.A print formula asks for the square of the product of 2 and 5, so what is that value?

101.Finished pots are counted as 11, 16, 21, and 26 in the greenhouse, so what count comes next if the common difference stays constant?

102.Canal mechanics evaluate 7 + 3 × 2^2 feet of cable, so what is the result?

103.A greenhouse scale uses 10 to the power of negative 2, so which value matches?

104.The repair crew records 20 braces at the first stop and then adds 4 braces at each later stop, so what is the count at the 7th stop?

105.The print shop totals 9 × (2 + 2) - 5 flyers after a short run, so what is that total?

106.A covered-bridge code uses 10 to the power of 0, so what is that value?

107.Multiplying 5^4 by 5^2 in the band-room calculator gives which single power of 5?

108.Dividing 4^9 by 4^5 on a river-gauge worksheet gives which single power of 4?