test 7 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.The table below gives the heart rates, in beats per minute (bpm), for 8 participants in a fitness study after each participant completed 45 minutes of aerobic exercise. W

4、hat is the mean heart rate of the 8 participants, to the nearest 0.1 bpm?ParticipantHeart rate (bpm)12345678130155162148177162170156Sum1,260A.137.3 B.153.5 C.157.5 D.162.0 E.162.52.The top surface of a rectangular table has an area of 144 square feet and a width of 4 feet. What is the length, in fee

5、t, of the surface? F.12 G.32 H.36 J.140 K.5763.The price of a coat decreased from $50 to $40. The price decreased by what percent? A.10 B.14 C.15 D.20E.25数学测试60 分钟60道题说明：解决每个问题，选择准确的答案，然后将答案填写在相对应的框内。不要纠结于那些花费太多时间的问题.尽可能多地解，然后在剩下的时间里解答其他题.这次考试允许你用计算器.你能够用计算器解决你选择的任何问题，但有些问题最好不用计算器就能解决。注：除非另有说明，否则应假定

6、所有下列情况.1.所有几何图形不一定是按比例绘制的.2.几何图形都在同一个平面内.3.单词“线”表示直线.4.单词“平均值”表示算术平均数.1.下表给出了一项健身研究中，8名参与者在完成45分钟有氧运动后的心率(每分钟心跳).8名参与者的平均心率是多少，每分钟0.1次?参与者心率(bpm)12345678130155162148177162170156总和1,260A.137.3 B.153.5 C.157.5 D.162.0 E.162.52.长方形桌子的上表面有144平方英尺的面积和4英尺的宽度.表面的长度(以英尺为单位)是多少? F.12 G.32 H.36 J.140 K.5763.一

7、件外套的价格从50美元降到了40美元.价格下降了百分之几? A.10 B.14 C.15 D.20E.254.Chang, a store employee, asked each of 50 customers which 1 of 4 shirt colors the customer preferred. The number of customers who preferred each color is given in the table below.ColorNumber of customersRedWhiteBlueGray1522 5 8Total50Chang will

8、order 500 shirts in the proportions. By color, in the table. How many gray shirts will he order?F. 8 G. 16 H. 40 J. 80 K. 1255.Belinda plans to use landscaping timbers to build a border for her 8-foot-by-12-foot rectangular garden. To determine the number of timbers she needs, she must calculate the

9、 perimeter of the garden. What is the perimeter, in feet, of the garden?A. 20 B.24 C. 40 D. 48 E. 966.At Nikkis Necklaces, the total production cost to produce necklaces consists of an operational cost of $300 per day, plus a material cost of $10 per necklace peoduced. For a day in which n necklaces

10、 are produced, which of the following expressions gives that days total production cost, in dollars, to produce necklaces?F.-10n+300G. 10n-300H. 10n+300J. 300n-10K.300n+107.The first question on a 2-question quiz offers 2 answers, and exactly 1 answer must be chosen. The second question offers 5 ans

11、wers, and exactly 1 answer must be chosen. The quiz has how many possible combinations of answers?A. 5 B.10 C. 20 D.25 E. 1008.For what value of x is the equation 2(x-6)+x=36 true?F. 8 G.10 H. 14 J. 16 K. 249.What value of a will make the equation true?A. -19 B.3 C.5 D.6 E.3010.The 1st term in the g

12、eometric sequence below is -6. If it can be determined, what is the 6th term? -6,12,-24,48,-96, F. 192 G. 144 H.-144 J. -192K. Cannot be determined from the given information4.张是一名店员，他向50名顾客询问，在4种衬衫颜色中，顾客更喜欢哪一种.下表列出了喜欢每种颜色的顾客人数.客户颜色数量红色白色蓝色灰色1522 5 8总计50张将按比例订购500件衬衫.在表格中,根据颜色，他要订多少件灰色衬衫?F.8 G. 16 H

13、. 40 J. 80 K. 1255.贝琳达计划用园林绿化木材为她8英尺乘12英尺的矩形花园建造一个边界.为了确定所需木材的数量，她必须计算花园的周长.花园的周长是多少英尺?A. 20 B.24 C. 40 D. 48 E. 966.在尼基的项链，生产项链的总生产成本包括每天300美元的运营成本，以及生产每条项链10美元的材料成本.对于生产n条项链的一天，下面哪个表达式给出了生产项链的总生产成本，以美元计算?F.-10n+300G. 10n-300H. 10n+300J. 300n-10K.300n+107.两个问题测验的第一个问题有两个答案，必须选出一个正确的答案.第二个问题提供5个答案，必

14、须选择一个正确的答案.这个测验有多少种可能的答案组合?A. 5 B.10 C. 20 D.25 E. 1008.满足方程2(x-6)+x=36的x值为多少?F. 8 G.10 H. 14 J. 16 K. 249. a的什么值能使方程成立? A.-19 B.3 C.5 D.6 E.3010.下面几何序列的第一项是-6. 如果可以确定，第6项是什么? -6,12,-24,48,-96, F. 192 G. 144 H.-144 J. -192K. 根据给定的信息不能确定11.In the standard (x,y) coordinate plane, A has coordinates (-4

15、,-9).Point A is translated 4 units to the right and 9 units up and labeled A. What are the coordinates of A?A. (-13,-13) B. (-8,-18) C.(-4,-18)D. ( 0, 0) E. ( 8, 18)12.A formula used to compute the volume, V, of a rectangular prism is V=lwh, where l is the length of the base, w is the width of the b

16、ase, and h is the height of the prism. What is the height, in centimeters. Of a rectangular prism that has a volume of 510 cubic centimeters and a base that measures 5 centimeters by 12 centimeters? F.8.5 G. 30 H. 42.5 J. $102 K. 45013.Solar panels that produce 150 amps of electric current each are

17、needed for a proposed space station. If the solar panels are manufactured to produce 0.75 amps per square meter of surface area, the surface area of each solar panel needs to be how many square meters?A. 20 B.75 C. 112.5 D.150 E. 20014.If cantaloupes sell at $1.49 each or 3 for $3.90. how much is sa

18、ved, to the nearest cent, on each cantaloupe by buying them 3 at a time? F. 12 G. 19 H. 31 J. 47 K. 9215.Which of the following expressions is equivalent to (4ab2)(3a4b3)?A.7a4b6B.7a5b5 C.12a4b5 D.12a4b6 E.12a5b516.In the standard (x,y) coordinate plane, the coordinates of the endpoints of DM are (1

19、1,3) and (17,15). What is the y-coordinate of the midpoint of DM?F. 7 G.9 H. 14 J. 16 K. 1817.The distance-versus-time graph below represents Barbara Jeans walk to school on Friday.Which of the following statements could describe what Barbara Jean did during the time interval covered by the horizont

20、al line segment BC?A. She walked due east. B. She walked up some steps.C. She walked on level ground.D. She walked at a faster speed.E. She stopped to talk to friends. 11.在标准(x,y)坐标平面上，A有坐标(-4,-9).点A向右平移4个单位，向上平移9个单位，标记为A,点A的坐标是多少?A. (-13,-13) B. (-8,-18) C.(-4,-18)D. ( 0, 0) E. ( 8, 18)12.计算长方体形棱镜体

21、积V的公式是V=lwh，其中l是底的长度，w是底的宽度，h是棱镜的高度.一个体积为510立方厘米的长方体形棱镜的底长为5厘米乘12厘米，高度是多少厘米?F.8.5 G. 30 H. 42.5 J. $102 K. 45013.一个拟建中的空间站需要每一块产生150安培电流的太阳能电池板.如果太阳能电池板的生产能力是每平方米表面积0.75安培，那么每一块太阳能电池板的表面积需要是多少平方米?A. 20 B.75 C. 112.5 D.150 E. 20014.如果哈密瓜卖1.49美元一个，或者3个卖3.90美元.每次买3个哈密瓜，可以节省多少钱? F. 12 G. 19 H. 31 J. 57

22、K. 9215.下面哪个表达式等价于(4ab2)(3a4b3)?A.7a4b6B.7a5b5 C.12a4b5 D.12a4b6 E.12a5b516.在标准(x,y)坐标平面上，DM的端点坐标为(11,3)和(17,15).DM中点的y坐标是多少?F. 7 G.9 H. 14 J. 16 K. 1817.下图是芭芭拉珍周五步行上学的路程.下面哪个陈述可以描述芭芭拉珍在横线段BC所覆盖的时间间隔内所做的事情?A. 她向东走.B.她走上了一些台阶.C.她走在平地上.D.她走得更快.E.她停下来和朋友们聊天.18.In the diagram below, lines m and n are cu

23、t by transversal t. Lines m and n are NOT parallel. Which of the following statements must be true? F.12G.13H.15J.26K.3519.The expression 5-3(2x-1) is equivalent to:A.-2+4x B.2-6x C.8-6x D.8-5x E.9-6x20. Which of the following angle measures CANNOT be the measure of any angle in an obtuse triangle?(

24、Note:An obtuse triangle is a triangle that has 1 angle with a measure greater than 90 but less than 180.)F. 30 G.37 H.60 J. 90 K. 12621.What is the value of f(-5) when ? A. - B. - C. D. E. 22.In the standard (x,y) coordinate plane, what is the slope of the line with equatipon 3x+2y=6 ?F.-3 G. - H. -

25、 J. K.23.Which of the following is a simplified form of ? A. B.-5 C.5 D. E.24.A formula for simple interest is I=Prt,where I is the interest in dollars, P is the principal in dollars, r is the annual interest rate expressed as a decimal, and t is the time in years the money is invested.Which of the

26、following expressions gives t when the annual interest rate is 5?F.G.H.J.K.0.05IP25.When t=2,005,the value of the function f(t) is 100 more than twice the value of f(t) when t=1,998. Which of the following equations expresses this relationship?A.f(2,005)=2f(1,998)+100B.f(1,998)=2f(2,005)+100C.f(t)=2

27、f(t)+100D.f(t+2,005)=2f(t+1,998)+100E.f(2,005)+100=2f(1,998)18.在下图中，直线m和n被截线t截短，直线m和n不平行.下列哪个陈述一定是正确的?F.12G.13H.15J.26K.3519.表达式5-3(2x-1)等价于:A.-2+4x B.2-6x C.8-6x D.8-5x E.9-6x20.下列哪个角不能是钝角三角形中任何角的度量?(注意:钝角三角形是一个角度大于90但小于180的三角形.)F. 30 G.37 H.60 J. 90 K. 12621.若，则f(-5) = ? A. - B. - C. D. E. 22.在标准(

28、x,y)坐标平面上，3x+2y=6的直线斜率是多少?F.-3 G. - H. - J. K.23.下面哪个是的简化形式? A. B.-5 C.5 D. E.24.单利的公式是I=Prt，其中I是美元的利息，P是美元的本金，r是用小数表示的年利率，t是投入资金的时间.下面哪个表达式给出了t的等价式,年利率是5% ?F.G.H.J.K.0.05IP25.当t=2,005时，函数f(t)的值是f(t)在t= 1998时值的两倍多100.下面哪个等式表达了这种关系?A.f(2,005)=2f(1,998)+100B.f(1,998)=2f(2,005)+100C.f(t)=2f(t)+100D.f(t

29、+2,005)=2f(t+1,998)+100E.f(2,005)+100=2f(1,998)Use the following informatino to answer questions 2628.Shown below is right triangle ABC with the given dimensions in meters.26.What is the length, in meters, of BC? F.8 G. 10 H. J. K. 27.Which of the following statements about the measures of the inter

30、ior angles in ABC is true?(Note:mA represents the degree measure of A.)A. mA=mBB. mB=mC C.mA=mB+mC D. mB+mC =180E. mA+mB+mC =36028.Which of the following expressions represents cosB? F. G. H. J. K.29.Given thefunctions f and g defined by f(x)=x+3 and g(x)=x2+1, what is the value of f(g(1)?A.2 B.5 C.

31、6 D.8 E.1730.Which of the following expressions is equivalent to (3x2)3?F. 3x5 G. 3x6 H. 9x5 J. 9x6 K.27x631.Marsha is making a sail for a model boat. In the figure below, the sail is represented by ABC. Base BC is 18 inches long, and legs AB and AC are each 15 inches long. The mast, represented by

32、AD, is perpendicular to the base and extends 4 inches below the bottom of the sail. How many inches long is the mast?A.12B.16C.33D.E.使用以下信息回答问题26-28.下图为直角三角形ABC，单位为米.26.BC的长度是多少米? F.8 G. 10 H. J. K. 27.关于ABC的内角的度量，下列哪个陈述是正确的?(注:mA表示A的度数)A. mA=mBB. mB=mC C.mA=mB+mC D. mB+mC =180E. mA+mB+mC =36028.下列哪

33、个表达式表示cosB?F. G. H. J. K.29.给定函数f和g由f(x)=x+3和g(x)=x2+1定义，f(g(1)的值是多少?A.2 B.5 C.6 D.8 E.1730.下面哪个表达式等价于 (3x2)3?F. 3x5 G. 3x6 H. 9x5 J. 9x6 K.27x631.玛莎正在为一艘模型船做帆.下图中，风帆由ABC表示.底边BC为18英寸长，底边AB和底边AC各为15英寸长.桅杆，用AD表示，垂直于船底，延伸到船帆底部以下4英寸.桅杆有多少英寸长?A.12B.16C.33D.E.32.Which of the following inequalities orders

34、the numbers below from least to greatest? F.G.H.J.K.Use the following information to answer questions 3335.The table below gives the prices for dog grooming at Pretty Pooches.Size of dogShampooHaircutSmallLarge$20$35$30$5533.Hoakoa brought 10 dogs to Pretty Pooches and paid $260 to have all 10 shamp

35、ooed. How many large dogs did Hoakoa have shampooed? A. 2 B. 4 C. 5 D. 6 E.734.Jim took his large dog to Pretty Pooches for a haircut 3 time. Jim paid full price for the first 2 haircuts. And had a coupon for the 3rd haircut, giving him a 15 discount on the 3rd haircut. How much did Jim pay for the

36、3 haircuts?F. $99.75 G.$118.25 H.$137.50J.$150.00 K.$156.7535.When the owner of Pretty Pooches increases the price to have a small dog shampooed, the number of small dogs shampooed per day decreases. The expression ax+b represents the number of small dogs shampooed in 1 day whenever the price is x d

37、ollars per dog. The number of small dogs shampooed per day was 12 when the price in the table was in effect. The number of small dogs shampooed per day decreases by 2 for every $5 increase in price. What are the values of a and b? a bA. 62 B. 20 C. 4 D. 2 200E. 5 2 32.下列哪个不等式把下面的数从小到大排序? F.G.H.J.使用以

38、下信息回答问题33-35.K.下表列出了美容犬的价格.狗的大小洗发水发型小大$20$35$30$5533.Hoakoa把10只狗带到Pretty Pooches，花了260美元把10只狗都洗头了.Hoakoa洗过多少只大狗? A. 2 B. 4 C. 5 D. 6 E.734.吉姆带着他的大狗去Pretty Pooches那里剪了三次头发.吉姆为头两次理发付了全价.和第三发型有优惠券,在第三发型给他15%的折扣.吉姆为这三次理发付了多少钱?F. $99.75 G.$118.25 H.$137.50J.$150.00 K.$156.7535.当漂亮狗的主人提高给小狗洗头的价格时，每天给小狗洗头的

39、数量就会减少.表达式ax+b表示每天洗头的小狗数量，每次洗头价格为x美元.表中价格有效时，每天洗头的小狗数量为12只.每天洗头的小狗数量每增加5美元就减少2只.a和b的值是多少? a bA. 62 B. 20 C. 4 D. 2 200E. 5 2 36.?F. G. H. J. K. 37.In the standard (x,y) coordinate plane, what is the x-intercept of the line represented by y=-2x+8?A. -4 B. -2 C. 2 D. 4 E. 638.A toy rocket is launched

40、from the ground. Its height, h feet above the ground, t seconds after it is launched, is given by h=-16t2+48t. During the rockets ascent, at what value of t is the rocket 32 feet above the ground?F. G. H.1 J. 2 K.3 39. Which of the following graphs illustrates the solution set for the system of ineq

41、ualities 3x-29 and -2x-10?40.A cab picks up a passenger at a point that is designated on the map as (7,-3) and is 7 miles east and 3miles south of the cab companys headquarters.From (7,-3), thr cab teavels 4 miles due nprth, 5 miles due east. And then 2 miles due west. Where the passenger is dropped

42、 off. Which of the following is closest to the straight-line distance, in miles, the cab is from the cab companys headquarters? F. 21 G.17 H.14 J.10 K.836.?F. G. H. J. K. 37.在标准(x,y)坐标平面中，y=-2x+8所表示的直线的x截距是多少?A. -4 B. -2 C. 2 D. 4 E. 638.一枚玩具火箭从地面发射.它的高度，离地面h英尺，发射后t秒，由h=-16t2+48t给出.在火箭上升的过程中，火箭离地面32

43、英尺时的t值是多少?F. G. H.1 J. 2 K.3 39. 下面哪个图说明了不等式组3x-29和-2x-10的解集?D40.出租车在地图上指定的地点(7,-3)接乘客，地点在出租车公司总部以东7英里，以南3英里.从(7,-3)开始，驾驶室在正北偏东方向行驶4英里，正东方向行驶5英里.然后向西2英里.乘客下车的地方.下列哪一项出租车距离出租车公司总部的直线距离最近，以英里为单位?F. 21 G.17 H.14 J.10 K.841.During a competition, a swimmer will be swimming the width of a river, from X to

44、 Y in the figure below. The swimmer wants to know how wide the river is. The right triangle shows the measurements the swimmer obtained by walking 100 feet from X to Z, sighting to Y from both points. From this sighting, it is determined that the measure of Z is 40. How wide, in feet, is the river?A

45、. B. C. 100sin40D. 100cos40E. 100tan40 42.The figure below shows a support wire for a television transmission tower. The wire, which is fastened to the tower at a point 125 feet above the level ground, has an angle of elevation of 65. Which of the following expressions gives the length, in feet, of

46、the wire?F. G. H. J. 125sin65K. 125tan6543.A circle is inside a rectangle 6 inches wide and 8 inches long and is tangent to 3 sides of the rectangle. What is the area, in square inches, of the circle?A. 6p B.8p C.9p D.16p E.36p44.Which of the following equations represents the circle with center (2,

47、1) shown in the standard (x,y) coordinate plane below?F. (x-2)2+(y-1)2=2G. (x-2)2+(y-1)2=4H. (x-2)2+(y+1)2=4J. (x+2)2+(y+1)2=2K. (x+2)2+(y+1)2=441.在比赛中，一个游泳者要游过一条河的宽度，从X到Y如下图所示.游泳者想知道这条河有多宽.直角三角形显示了游泳者从X到Z走100英尺得到的测量值，从两个点都能看到Y.从这个角度看，Z的测定值为40.以英尺计算，这条河有多宽?A. B. C. 100sin40D. 100cos40E. 100tan40 42.

48、下图显示了电视发射塔的支撑线.这根支撑线固定在高塔上，一端高出地面125英尺，仰角为65.下列哪个表达式给出了支撑线的长度(以英尺为单位)?F. G. H. J. 125sin65K. 125tan6543. 圆在一个6英寸宽8英寸长的矩形内，与矩形的3条边相切.这个圆的面积是多少，以平方英寸为单位?A. 6p B.8p C.9p D.16p E.36p44.下面哪个方程表示标准(x,y)坐标平面中以(2,1)为中心的圆?F. (x-2)2+(y-1)2=2G. (x-2)2+(y-1)2=4H. (x-2)2+(y+1)2=4J. (x+2)2+(y+1)2=2K. (x+2)2+(y+1)

49、2=445.One of the following inequalities, where both constants a and b are positive real numbers, is graphed in the standard (x,y) coordinate plane below. Which inequality is it?A. B.C. D. E. 46.Circles A, B, and C have diameters of x inches, 2x inches, and 4x inches. Respectively. What is the ratio

50、of the radius of Circle B to the diameter of Circle A?F. 1:1 G.1:2 H.1:4 J.2:1 K.4:147.In trapezoid KLMN shown below, M measures 45， K and N are both right angles. The given side lengths are in feet. Which of the following values is closest to the area, in square feet, of KLMN? A. 4B. 7C. 43D. 127E. 15248.For the 2 oclock hour in Milenas grandfather clock (shown below), the bell is struck 2 times. For the 3 oclock hour, the bell is struck 3 times. For every hour, 2 seconds elapse between consecutive strikes of the bell. For the 9 oclock hour, how many seconds elap