test 8 MATHEMATICS TEST

1、MATHEMATICS TEST60 Minutes60 QuestionsDIRECTIONS：Solve each problem,choose the correct answer,and then fill in the corresponding oval on your answer document.Do not linger over problems that take too much time.Solve as many as you can;then retum to the others in the time you have left for this test.

2、You are permitted to use a calculator on this test.You may use your calculator for any problems you choose,but some of the problems may best be done without using a calculator.Note：Unless otherwise stated,all of the following should be assumed.1. lllustrative figures are NOT necessarily drawn to sca

3、le.2. Geometric figures lie in a plane.3. The word line indicates a straight line.4. The word average indicates arithmetic mean.1.On the map below, 2 parallel streets, North and South, intersect 2 other parallel streets, First and Second. The acute angle which Second Street intersects North Street m

4、easures 55. What is the measure of the acute angle at which First Street intersects South Street?A.35 B.55 C.62.5 D.65 E.702.Which of the following is a simplified form of the expression 4(2+5x)+9-2x?F. 3x+17G. 7x+13H. 18x+17J. 26x+9K. 35x3.A point at (-2,8) in the standard (x,y) coordinate plane is

5、 shifted right 8 units and down 2 units. What are the new coordinates of the point?A. (-10, 10)B. ( 0, 0)C. ( 6, 6)D. ( 6, 10)E. ( 10, 10)數(shù)學(xué)測試60 分鐘60道題說明：解決每個問題，選擇準確的答案，然后將答案填寫在相對應(yīng)的框內(nèi)。不要糾結(jié)于那些花費太多時間的問題.盡可能多地解，然后在剩下的時間里解答其他題.這次考試允許你用計算器.你能夠用計算器解決你選擇的任何問題，但有些問題最好不用計算器就能解決。注：除非另有說明，否則應(yīng)假定所有下列情況.1.所有幾何圖形不

6、一定是按比例繪制的.2.幾何圖形都在同一個平面內(nèi).3.單詞“線”表示直線.4.單詞“平均值”表示算術(shù)平均數(shù).1.在下面的地圖上，兩條平行的街道，北和南，相交于其他兩條平行的街道，第一和第二.第二街與北街相交的銳角為55.第一街與南街相交的銳角是多少?A.35 B.55 C.62.5 D.65 E.702.下面哪個是表達式4(2+5x)+9-2x的簡化形式?F. 3x+17G. 7x+13H. 18x+17J. 26x+9K. 35x3.標準(x,y)坐標平面上(-2,8)的點向右移動8個單位，向下移動2個單位.這個點的新坐標是什么?A. (-10, 10)B. ( 0, 0)C. ( 6, 6

7、)D. ( 6, 10)E. ( 10, 10)4.To attend an annual banquet, members pay $17 per ticket while nonmembers pay $20 per ticket. What is the total amount, in dollars, from the sale of 70 member tickets and n nonmember ticket?F. n+70G. (20+17)nH. 20(n+17)J. 20(n+70)K. 20n+17(70)5.A coat originally priced at $8

8、0 is discounted to $60. What is the percent of discount on this coat?A. 13B. 20C. 25D. 30E. 336.In ABC, A and C are congruent, and the measure of B is 114, What is the measure of A?F.33 G.57 H.60 J.66 K.1147.Bella will pick 1 jelly bean at random out of a bag containing 28 jelly beans that are in th

9、e colors and quantities shown in the table below. Each of the jelly beans is 1 color only.ColorQuantityGreenBlackRedOrangeYellowBlue635248What is the probability that Bella will pick a blue or yellow jelly bean?A. B. C. D. E. 8.What is an automobiles average speed, in miles per hour, if it travels 6

10、0 miles in houes?F. 30 G. 40 H. 60 J. 90 K.1209.To determine a students overall test score for the semester, Ms.Ackerman deletes the lowest test score and calculates the average of the remaining test scores. Niels took all 5 testa and earned the following test scores in Ms.Ackermans class this semes

11、ter:62, 78, 83, 86, and 93. What overall test score did Niels earn in Ms.Ackermans class this semester?A.77.5 B.80.4 C.83.0 D.85.0 E.85.54.參加年度宴會，會員每張票支付17美元，非會員每張票支付20美元.出售70張會員票和n張非會員票，以美元計的總額是多少?F. n+70G. (20+17)nH. 20(n+17)J. 20(n+70)K. 20n+17(70)5.一件原價80美元的外套打折到60美元.這件外套的折扣率是多少?A. 13B. 20C. 25D

12、. 30E. 336.ABC中，A和C是全等的，B的度數(shù)是114，A的度數(shù)是多少?F.33 G.57 H.60 J.66 K.1147.貝拉將從一個裝有28顆果凍豆的袋子中隨機抽取1顆果凍豆，顏色和數(shù)量如下表所示.每個糖豆只有一種顏色.顏色數(shù)量綠色黑色紅色橙色黃色藍色635248貝拉選擇藍色或黃色果凍豆的概率是多少?A. B. C. D. E. 8.如果一輛汽車在個小時內(nèi)行駛60英里，那么它的平均速度是多少，單位是英里每小時?F. 30 G. 40 H. 60 J. 90 K.1209.為了確定一名學(xué)生本學(xué)期的總體考試成績，阿克曼刪除了最低的考試成績，并計算了其余考試成績的平均值.尼爾斯參加了

13、全部5項測試，并在阿克曼這學(xué)期的課程中取得了以下成績:62、78、83、86和93.尼爾斯這學(xué)期在阿克曼老師的課上得了多少分?A.77.5 B.80.4 C.83.0 D.85.0 E.85.510.For the equation 5y+n=m, which of the following expressions gives y in terms of m and n?F. G.H.J. 10K. m-n-511. If 5+2x=19, then 3x=?A.7 B.12 C.15 D.21 E.3612.The perimeter of a square is 24 feet. Wha

14、t is the area of the square, in square feet?F. 6 G. 12 H. 36 J. 72 K.57613.What is 7 of 4.58106?A. 32,060,000B. 3,206,000C. 320,600D. 763.33E. 76.3314.Which of the following expressions is a factor of the expression x2-6x+8?F.x-3 G.x-4 H.x-5 J.x-6 K.x-815.Given real numbers a, b, c, d, and e such th

15、at cd, eb, and ba, which of these numbers is the greayest?A.a B.b C.c D.d E.e16.A new operation, ,is defined on pairs of ordered pairs of integers as follows: (a, b)(c, d) =. What is the value of (2,1)(4,6) ?F. G. H. J.7 K. 1417.A high school band needs to make 3 sizes of flags-small, medium, and la

16、rge-for an upcoming halftime show. The 3 sizes of flags are made by combining 1-foot squares of material that come in 2 colors. Four band members have agreed to make the flags. The information they will need is given to them in the tables below. The table with colors tells how many 1-foot squares of

17、 each color are needed for each size flag, and the table with names tells how many flags of each size that each person is to make. Red blue Small 2 2 Medium 5 3 Large 10 5 Small medium largeJalinda 0 6 2Lance 0 3 3Hamako 2 6 0Dakota 8 0 0How many 1-foot squares of blue material does Lance need to ma

18、ke his flags?A. 42 B. 24 C. 20 D. 15 E. 1410.對于方程5y+n=m,下列哪個表達式給出了用m和n表示的y ?F. G.H.J. 10K. m-n-511.如果5+2x=19, 那么3x=?A.7 B.12 C.15 D.21 E.3612.正方形的周長是24英尺.這個正方形的面積是多少，以平方英尺為單位?F. 6 G. 12 H. 36 J. 72 K.57613. 4.58106的7是多少?A. 32,060,000B. 3,206,000C. 320,600D. 763.33E. 76.3314.下面哪個表達式是 x2-6x+8的因數(shù)?F.x-3

19、 G.x-4 H.x-5 J.x-6 K.x-815.給定實數(shù)a, b, c, d,和e使得cd, eb, 和 ba, 這些數(shù)字中哪個是最大的?A.a B.b C.c D.d E.e16.一個新的操作，定義在有序整數(shù)對上，其定義如下:(a, b)(c, d) =. (2,1)(4,6)= ?F. G. H. J.7 K. 1417.一支高中樂隊需要制作三種大小的旗子小號、中號和大號來為即將到來的中場表演做準備.三種尺寸的旗子是由兩種顏色的1英尺見方的材料組合而成的.四名樂隊成員同意制作國旗.他們將需要的資料在下表中提供給他們.帶有顏色的表表示每種顏色對應(yīng)每種大小標志需要多少個1英尺的正方形，帶

20、有名稱的表表示每個人要制作多少種大小的標志. 紅 藍 小 2 2 中 5 3 大 10 5 小 中 大Jalinda 0 6 2Lance 0 3 3Hamako 2 6 0Dakota 8 0 0蘭斯需要多少平方英尺的藍色材料來制作他的旗子?A. 42 B. 24 C. 20 D. 15 E. 1418.Whatis the least common multiple of 80, 70, and 30? F. 60G. 168H. 180J. 1,680K. 168,00019.The figure below shows Marks, Cals, and Lakecias houses

21、at the 3 vertices of the right triangle formed by 3 roads. The distances given in the figure are in miles. Mark and Lakecia each make a trip from Marks house to Lakecias house. Mark takes Grapevine Road. Lakecia takes Harbor Road to pick up Cal. And then takes Lott Road. How many miles shorter is Ma

22、rks trip than Lakecias trip?A.1B. 4C. 5D.7E. 820.Which of the following is equivalent to (a8)24?F. 192a G. 32a H.8a24 J.a32 K. a19221.For the function h(x)=4x2-3x, what is the value of h(-3)? A.-99 B.-15 C. 27 D. 45 E. 15322.The Carousel Clothes Shop is advertising a sale featuring 30 off the marked

23、 price on any item. Which of the following gives the sale price, in dollars, of an item with a marked price of p dollars?F.0.3p G.p-30p H.p-0.3 J.p+0.3p K.p-0.3p23.A store advertises packs of chewing gum at 5 for $1.29. At this advertised price, how much would the atore charge for 2 packs of gum?A.$

24、0.65 B.$0.52 C.$0.50 D.$0.26 E.$0.2524.Johnny is selling lemonade. He paid $5.00 for his supplies and charges $0.50 per glass of lemonade. Johnnys profit is found by subtracting his expenses from his income. Which of the following graphs represents his profit as a function of the number of glasses o

25、f lemonade he sells?18. 80,70,30的最小公倍數(shù)是多少?F. 60G. 168H. 180J. 1,680K. 168,00019.下圖顯示了Mark s, Cal s和Lakecia的房子，它們位于由三條路組成的直角三角形的三個頂點上.圖中給出的距離是以英里為單位的.馬克和萊克西亞各自從馬克的家到萊克西亞的家.馬克走的是葡萄藤路.萊克西亞先走港灣路去接卡爾，然后再走洛特路.馬克的旅程比萊克西亞的短多少英里?A.1B. 4C. 5D.7E. 820.下列哪項等于(a8)24?F. 192a G. 32a H.8a24 J.a32 K. a19221.對于函數(shù)h(x)

26、=4x2-3x,h(-3)的值是多少? A.-99 B.-15 C. 27 D. 45 E. 15322.旋轉(zhuǎn)木馬服裝店正在為出售廣告, 其價格比任何商品的標價都低30%.下列哪個選項給出了標有p美元價格的商品的以美元為單位的售價?F.0.3p G.p-30p H.p-0.3 J.p+0.3p K.p-0.3p23.一家商店做廣告，5包口香糖，售價1.29美元.按這個廣告上的價格，兩包口香糖要多少錢?A.$0.65 B.$0.52 C.$0.50 D.$0.26 E.$0.2524.約翰尼在賣檸檬水.他花了5美元購買他的補給品，每杯檸檬水收費0.5美元.約翰尼的利潤是由他的收入減去他的開支得來

27、的.下面哪個圖表代表了他的利潤作為他銷售的檸檬水的數(shù)量的函數(shù)? K.25.The positive integer n! is defined as the product of all the positive integers lesss than or equal to n. For example, 3!=1(2)(3)=6. What is the value of the expression ?A.1 B.3 C.6 D.60 E.12026. Ms.Johnson purchased 1,000 prizes for the school carnival for $90. E

28、ach prize costs either $0.05 or $0.25. How many of the less expensive prizes did she buy? F.200 G.360 H.500 J.640 K.80027.A circle with a radius of 1 inch is inscribed in a square as shown below. What is the area of the shaded region, in square inches?A.p B.8-p C.4-p D.2-p E.1-p 28.The lengths of th

29、e corresponding sides of 2 similar right triangles are in the ratio of 4:7. The hypotenuse of the smaller triangle is 20 inches long. How many inches long is the hypotenuse of the larger triangle?F.11 G.23 H.28 J.31 K.3529.For the polygon below, which of the following represents the length, in meter

30、s, of AE?A. 20 B. 30 C. D. E. tan50 30.The perimeter of a parallelogram is 76 inches, and 1 side measures 14 inches. If it can be determined, what are the lengths, in inches, of the other 3 sides? F. 14,14,34 G. 14,17,17 H. 14,24,24 J. 14,31,31 K. Cannot be determined from the given information31.Wh

31、ich of the following is a solution statement for the inequality 3x-75+9x?A.-2x B.x D.1x E.2x25.正整數(shù)n!定義為小于或等于n的所有正整數(shù)的乘積.例如，3!=1(2)(3)=6.表達式的值是多少?A.1 B.3 C.6 D.60 E.12026.約翰遜女士花了90美元為學(xué)校嘉年華購買了1000個獎品.每個獎品的價格為0.05美元或0.25美元.她買了多少個比較便宜的獎品? F.200 G.360 H.500 J.640 K.80027.一個半徑為1英寸的圓內(nèi)切于一個正方形中，如下圖所示.陰影區(qū)域的面積是

32、多少，單位是平方英寸? A.p B.8-p C.4-p D.2-p E.1-p 28.兩個相似直角三角形對應(yīng)邊的長度之比為4:7.這個小三角形的斜邊是20英寸長.大三角形的斜邊有多少英寸長?F.11 G.23 H.28 J.31 K.3529.對于下面的多邊形，下面哪個代表AE的長度，單位是米?A.20 B.30 C.D. E. tan50 30.平行四邊形的周長是76英寸，其中一邊是14英寸.如果可以確定，其他3條邊的長度(單位為英寸)是多少? F. 14,14,34 G. 14,17,17 H. 14,24,24 J. 14,31,31 K. 根據(jù)給定的信息不能確定31.下面哪個是不等式3

33、x-75+9x的解?A.-2x B.x D.1x E.2x32.The pep squad plans to make a circular sign in the shape of a basketball to hang on a wall for the game. The circle will have a radius of 4 feet. Which of the following is closest to the perimeter, in feet, of the circle? F. 8 G.13 H.25 J.50 K.20033.-5|-8+9|=? A.-85 B

34、.-5 C. -4 D.5 E. 8534.In a large high school, some teachers teach only 1 subject, and some teachers teach more than 1 subject. Using the information given in the table below about the math, science, and gym teachers in the school, how many teachers teach math only? Number of teachersSubject(s) taugh

35、t121020 6 5 2 1At least 1 class of mathAt least 1 class of gymAt least 1 class of scienceBoth gym and science but not mathBoth math and science but not gymGym onlyMath,gym, and science F. 1 G.2 H.5 J.16 K.28Use the following information to answer questions 3537.The Environmental Club at Forrest Hill

36、s High Scgool grows plants in the schools greenhouse. The members of the clib sell the plants to raise money for the school, and Sami and Jacque are taking an inventory of the plants. The table below gives the numbers of packs of plants. For example, there are 60 packs of sunflowers with 1 plant per

37、 pack, 25 packs of petunias with 4 plants per pack, and 15 packs of tomatoes with 6 plants per pack. All of the packs have been counted except for the 6-plant packs of marigolds.PlantsNumber of 1-plant packs Number of 4-plant packsNumber of 6-plant packsTomatoesMarigoldsPetuniasSunflowers3060 060 04

38、025 015?100 035. Jacque completes the inventory and later tells Sami that the number of marigold plants is the same as the number of petunia plants. How many 6-plant packs of marigilds are in the greenhouse? A.20 B.25 C.70 D.80 E.48032.打氣小組計劃做一個籃球形狀的圓形標志掛在墻上，以便比賽時使用.這個圓的半徑為4英尺.下面哪個是最接近圓的周長，單位是英尺? F.

39、 8 G.13 H.25 J.50 K.20033.-5|-8+9|=? A.-85 B.-5 C. -4 D.5 E. 8534.在一所大的高中里，有些老師只教一門課，有些老師教不止一門課.根據(jù)下表給出的有關(guān)學(xué)校數(shù)學(xué)、科學(xué)和體育老師的信息，有多少老師只教數(shù)學(xué)? 教師人數(shù)教授的科目121020 6 5 2 1至少一門數(shù)學(xué)課至少有一節(jié)體育課至少一門科學(xué)課體育和科學(xué)都有,但數(shù)學(xué)沒有數(shù)學(xué)和科學(xué)都有,但體育沒有只有體育數(shù)學(xué)、體育和科學(xué) F. 1 G.2 H.5 J.16 K.28使用以下信息回答問題3537.福勒斯特山高中的環(huán)境俱樂部在學(xué)校的溫室里種植植物.俱樂部成員出售這些植物為學(xué)?；I集資金，薩米和

40、雅克正在清點這些植物的庫存.下表給出了每包植物的數(shù)量.例如，60包向日葵，每包1株;25包牽?；?，每包4株;15包西紅柿，每包6株.除金盞花的6株植物包外，所有包均已清點完畢.植物1株植物包數(shù)量4株植物包數(shù)量6株植物包數(shù)量西紅柿金盞花牽?；ㄏ蛉湛?060 060 04025 015?100 035.Jacque完成了庫存清單之后，告訴Sami金盞花的數(shù)量與牽?；ǖ臄?shù)量相同.溫室里有多少6株金盞花? A.20 B.25 C.70 D.80 E.48036. Mr. Mai bought 10 of the sunflower plants for $15.00. What was the pri

41、ce of 1 sunflower plant?F.$0.25 G.$0.40 H.$1.50 J.$2.00 K.$2.50 37. Helen takes all of the tomato plants in 1-plant packs and puts them together to make as many 4-plant packs as she can. How many whole 4-plant packs of tomato plants can Helen make?A.5 B.7 C.8 D.15 E.30Use the following information t

42、o answer questions 3840.Parallelogram WXYZ is shown in the standard (x,y) coordinate plane below. The coordinates for 3 of its vertices are W(0,0), X(a,b), and Z(c,0).38.What are the coordinates of Y ? F. (a,c)G. (b,c)H. (c,b)J. (a+b,c)K. (a+c,b)39.The measure of Y is 50. What is the measure of the

43、angle between WX and the y-axis? A. 35 B.40 C.45 D.50 E.55 40. Parallelogram WXYZ is rotated clockwise ( ) by 90 about the origin. At what ordered pair is the image of Z located? F. (0,-c)G. (-c,0)H. (0,0)J. (c,0)K. (a,b)41. A liter is 1,000 cubic centimeters. Which of the following is closest to th

44、e height, in centimeters, of a cylindrical container, shown below, with diameter 10 cm and capacity 1 liter? A. 4B. 8C.10D.13E.1636.先生.邁以15美元的價格買了10株向日葵.一株向日葵的價格是多少?F.$0.25 G.$0.40 H.$1.50 J.$2.00 K.$2.50 37. 海倫把所有的西紅柿一株植物包放在一起，盡可能多地做成四株植物包.海倫能做幾包四株植物的西紅柿?A.5 B.7 C.8 D.15 E.30使用以下信息回答問題 3840.平行四邊形WX

45、YZ如下面的標準(x,y)坐標平面所示.它的三個頂點的坐標是W(0,0),X(a,b)和Z(c,0).38.Y的坐標是什么? F. (a,c)G. (b,c)H. (c,b)J. (a+b,c)K. (a+c,b)39.Y的度數(shù)是50.WX和y軸的夾角是多少? A.35 B.40 C.45 D.50 E.55 40.平行四邊形WXYZ圍繞原點順時針旋轉(zhuǎn)( )90.Z的圖像位于什么位置?F. (0,-c)G. (-c,0)H. (0,0)J. (c,0)K. (a,b)41. 一升是1，000立方厘米.下面哪個選項最接近圓柱形容器的高度，單位厘米，如下圖所示，直徑10厘米，容積1升? A. 4B

46、.8C.10D.13E.1642.For World Literature class, Lenka must read Anna Karenina in 8 day. She reads of the book each of the first 3 days. For the remaining 5 days, what fraction of the book, on average, must Lenka read per day? F. G. H. J. K. 43.Which of the following equations shows a correct use of the

47、 quadratic formula to solve x2-5x+3=0?A. B. C. D. E. 44. In the standard (x,y) coordinate plane,The points (1,-6) is the midpoint of the line segment with with endpoints (9,-13) and (a,b). What is (a,b)? F. (-7,1 )G. (-7,-25)H. (7,-1)J. (4,-3.5)K. (5,-9.5)45. A straight 10-foot-tall ladder is leanin

48、g against a house at an angle of 75,as shown in the figure below. Which of the following expressions gives the distance, in feet, the base of the ladder is from the house along the level ground?A.10sin75 B.10cos75 C.10tan75 D. E. 42.世界文學(xué)課，Lenka必須在8天內(nèi)讀完Anna Karenina.前三天她每天只看本書.在剩下的5天里，Lenka平均每天要讀多少本書

49、? F. G. H. J. K. 43.下面哪個方程正確地使用了二次公式來解方程x2-5x+3=0?A. B. C. D. E. 44.在標準(x,y)坐標平面上,點(1,-6)是線段的中點,線段的端點是(9,-13)和(a,b).(a,b)是什么? F. (-7,1 )G. (-7,-25)H. (7,-1)J. (4,-3.5)K. (5,-9.5)45. 一架10英尺高的直梯以75的角度斜靠在一所房子上，如下圖所示.下面哪個表達式給出了距離，以英尺為單位，梯子的底部是從房子到地面的距離?A.10sin75 B.10cos75 C.10tan75 D. E. 46. One of the

50、following equations is graphed in the standard (x,y) coordinate plane below. Which one? F. y=x-2 G.y= x-1 H.y= -x+1 J.y= -3x+1 K.y= 3x+147.The vertices of a trapezoid have the (x,y) coordinates indicated in the figure below. What is the area, in square coordinate units, of the trapezoid? A. 20B. 36C

51、. 38D. 42E. 7048.Mr.Clearys algebra class is discussing slopes of lines. The class is to graph the total cost, C, of buying h hamburgers that cost 99 each. Mr.Cleary asks the class to describe the slope between any 2 points (C,h) on the graph. Devon gives a correct response that the slope between an

52、y 2 points on this graph is always: F. zero.G.the same positive value. H.the same negative value. J. A positive value, but the value varies.K.A negative value, but the value varies. 49. The first 3 terms of a geometric sequence are 4, 10, and 25. What is the next term in the sequence? A.35 B. 40 C.55 D.62.5 E.7050. The volume of a cube is 64 cubic centimeters. What is the total surface area, in square centimeters, of the cube?F. 16 G. 24 H.64 J.96 K.38451.In the fig