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STUDENT NAMETexas Assessmentof Knowledge and SkillsGRADE 9MATHEMATICSAdministered April 2009Copyright 2009, Texas Education Agency. All rights reserved. Reproduction of all or portions of this work is prohibitedwithout express written permission from the Texas Education Agency.
MATHEMATICSPage 3
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Texas Assessmentof Knowledge and SkillsMathematics ChartLENGTHMetricCustomary1 kilometer 1000 meters1 mile 1760 yards1 meter 100 centimeters1 mile 5280 feet1 centimeter 10 millimeters1 yard 3 feet1 foot 12 inchesCAPACITY AND VOLUMEMetricCustomary1 liter 1000 milliliters1 gallon 4 quarts1 gallon 128 fluid ounces1 quart 2 pints1 pint 2 cups1 cup 8 fluid ouncesMASS AND WEIGHTMetricCustomary1 kilogram 1000 grams1 ton 2000 pounds1 gram 1000 milligrams1 pound 16 ouncesTIME1 year 365 days1 year 12 months1 year 52 weeks1 week 7 days1 day 24 hours1 hour 60 minutes1 minute 60 secondsMetric and customary rulers can be found on the separate Mathematics Chart.Page 5Continued on the next page
Mathematics ChartPerimeterrectangleP 2l 2worCircumferencecircleC 2πrC πdArearectangletriangleA lw or A bhA 1 bh or A bhtrapezoidA regular polygonA circleA πr 2orP 2(l w)221212(b1 b2)horA (b1 b2)h2aPP represents the Perimeter of the Base of a three-dimensional figure.B represents the Area of the Base of a three-dimensional figure.Surface Areaprism (total)S 6s 2S PhS Ph 2Bpyramid (lateral)S 1 Plpyramid (total)S cylinder (lateral)sphereS 2πrhS 2πrh 2πr 2 or S 2πr(h r)S πrlS πrl πr 2 or S πr(l r)S 4πr 2prism or cylinderV Bhpyramid or coneV 3 BhV 4 πr 33x, x 3, 2xx, x, x 2cube (total)prism (lateral)cylinder (total)cone (lateral)cone (total)VolumesphereSpecial Right Triangles30 , 60 , 90 45 , 45 , 90 212Pl B1Pythagorean Theorema2 b2 c2Distance Formulad (x2 x1) 2 (y2 y1) 2y2 y1m x x21Slope of a LineMidpoint FormulaM (x1 x2,2Slope-Intercept Form of an Equationx b b 2 4ac2ay mx bPoint-Slope Form of an Equationy y1 m(x x1)Standard Form of an EquationAx By CSimple Interest FormulaI prtQuadratic FormulaPage 6)y1 y22
DIRECTIONSRead each question. Then fill in the correctanswer on your answer document. If acorrect answer is not here, mark the letterfor “Not here.”SAMPLE ASAMPLE BFind the slope of the line 2y 8x 3.Janice uses a rectangular box to store her artsupplies. The dimensions of the rectangularbox are 22.5 inches by 14 inches by 11.5 inches.What is the volume of this box in cubic inches?A 3B4C8DNot here2Page 7Record your answer and fill in the bubbles onyour answer document. Be sure to use thecorrect place value.
1The drawings below show the left-side, front, and top views of a three-dimensional structure built withidentical cubes.Left-side viewFront viewTop viewWhich of the following 3-dimensional structures is best represented by these views?CFrontFrontDFrontPage 8RRigighthtBRRigighthtAFrontGO ON
2Which point on the grid below best represents1( 4 , 7)?24yR2x 4 is graphed on55the same grid as the new function y x 4.2Which of the following statements about theseThe original function y graphs is true?987S6FThe graph of the original function issteeper than the graph of the newfunction.GThe graph of the original function isparallel to the graph of the new function.HThe graphs intersect at (4, 0).JThe graphs intersect at (0, 4).54321–9 –8 –7 –6 –5 –4 –3 –2 –1 FPoint RGPoint SHPoint TJPoint U5Millie entered her dog in a dog show. Her doggot a score of 64. Which measure of data canMillie use to determine whether her dog’sscore was in the top half of all scores at theshow?AMedianBModeCMeanDRangeChantelle won 9 of 15 tennis games sheplayed. At this rate, which of the following isthe best prediction of the number of tennisgames she will win out of her next 12 games?6A4B7C11D6Page 9Dante has 5 times as many marbles as Kenny.1Juan hasas many marbles as Dante. If3Kenny has 30 marbles, how many marblesdoes Juan have?F6G50H2J18GO ON
7The graph below shows the relationship between the value of a car in dollars and the age of the car inyears.Value of a g to the graph, which of the following statements appears to be true?AThe value of the car decreased by 1,000 per year.BThe value of the car decreased by 2,000 per year.CThe value of the car decreased more from Year 9 to Year 10 than in any other year.DThe value of the car decreased more from Year 0 to Year 1 than in any other year.Page 10GO ON
8A sphere with a diameter of 6x centimeters isshown below.96x cmJosh earns money by washing cars in hisneighborhood. He spent 215 on supplies andcharges 15 for each car washed. Josh’sprofit, p, can be represented by the functionp 15n 215, where n represents the numberof cars that Josh washes. What is theminimum number of cars Josh must wash tomake a profit?A14B29C15DNot hereWhich of the following expressions bestrepresents the volume of this sphere in cubiccentimeters in terms of π?F4π(3x) 33G4π(6x) 33H4π(3x) 210Which expression is equivalent to 7(x 2) 5(3 x) 4x? 16x 1G 16x 29H 2x 1J 12x 13FJ4π(6x) 2Page 11GO ON
11The drawing below shows three squares joined at their vertices to form a right triangle.48 ft35 ftWhat is the area of the shaded square?A3529 ft 2B1079 ft 2C6889 ft 2D169 ft 2Page 12GO ON
12The graph of ΔRST is shown below.13y10Kara claims that the expression x 2 1 resultsin an even number for all integer values of x.Which value of x shows that Kara’s claim isincorrect?98Ax 5Bx 3Cx 0Dx 1765y 343R2S1–10 –9 –8 –7 –6 –5 –4 –3 –2 –1 0–1123456789 10x–2T–3–4–5–6–7–8–9–10If ΔRST is reflected across the line y 3,which of the following ordered pairs bestrepresents point T′?F( 4, 8)G( 4, 2)H(10, 2)J(4, 2)Page 1314A salesperson’s commission, c, is 6% of hertotal sales, s. Which function best representsthe salesperson’s commission?Fc 0.06sGc s 0.06Hc s 0.06sJc ( 6s )(100)GO ON
15Trapezoid PQRS is similar to trapezoid TUVW.UQ12 ftVR8 ftP10 ftS20 ftTW32 ftWhat is the height of the larger trapezoid?1ft5A19B16 ftC12D20 ft4ft5Page 14GO ON
1617How does the graph of y 3x 2 5 compare with the graph of y 3x 2 8?FThe graph of y 3x 2 5 is 3 units above the graph of y 3x 2 8.GThe graph of y 3x 2 5 is 13 units below the graph of y 3x 2 8.HThe graph of y 3x 2 5 is 3 units to the right of the graph of y 3x 2 8.JThe graph of y 3x 2 5 is 13 units to the left of the graph of y 3x 2 8.If today is Tuesday, what day of the week willit be 100 days from today?ATuesdayBWednesdayCThursdayDFridayPage 15GO ON
18A county commissioner surveyed the farmers in her county about the crops they grow. The results of thesurvey are shown below. A total of 13 farmers grow cotton. A total of 14 farmers grow wheat. A total of 20 farmers grow corn.Some farmers in the list above grow more than 1 crop. Exactly 3 of the farmers in the list above saidthat they grow all 3 crops. Which of the following Venn diagrams could not represent this 8WheatIn the equation 6.5x 1.4y 59, what is thevalue of x when y 5?Record your answer and fill in the bubbles onyour answer document. Be sure to use thecorrect place value.Page 16GO ON
20The function graphed below shows arelationship between x and y.21yIf the diameter of a circle is dilated by a scalefactor of 0.6, what will be the effect on thecircle’s circumference?AThe circumference will be 0.3 times aslarge.BThe circumference will be 0.36 times aslarge.CThe circumference will be 1.88 times aslarge.DThe circumference will be 0.6 times aslarge.x0Which of the following relationships can bestbe represented by this graph?FThe total number of gallons of gas left in agas tank, y, based on x, the total numberof miles drivenGThe total cost of a shipment of jeans, y,based on x, the number of jeans in theshipmentHThe total amount of hourly earnings, y,based on x, the total number of hoursworkedJThe total number of pounds of flourused, y, based on x, the total number ofloaves of bread bakedPage 1722If y varies directly with x, and y is 84 whenx is 16, which of the following represents thissituation?Fy 100xGy Hy 68xJy 21x44x21GO ON
2324Which of the following inequalities bestdescribes the graph shown below?y987The manager of a day-care center wants to1servepint of milk to each of the 48 children2at the center each day. She can buy the milk1in -pint cartons for 0.35 each, or she can2buy 1-gallon containers of milk for 3.26 each.Which of these best represents how much the65manager will save on milk each day if she4buys the milk in 1-gallon containers?321–9 –8 –7 –6 –5 –4 –3 –2 –1 0–1123456789x–2–3F 9.78G 2.76H 7.02J 2.91–4–5–6–7–8–925Ay 1x 84By 1x 24Cy 1x 84Dy 1x 24Martina designed a painting for art class, asshown in the drawing below. Her designcontains 4 circles on a square canvas. Eachcircle has a radius of 6 inches. The circlestouch the edges of the canvas and each other,as shown below.6 in.The shaded section of Martina’s design will bepainted black. Which is closest to the areathat will be painted black?Page 18A124 in. 2B463 in. 2C308 in. 2D116 in. 2GO ON
26A quadratic function is given below.f(x) 3x 2 x 6What is f(2)?2728Point S and point T are located on the samecoordinate plane. Both the x-coordinate andthe y-coordinate for point S are negative. Boththe x-coordinate and the y-coordinate forpoint T are positive. Which statement aboutthe line containing points S and T must betrue?F40G28FThe graph of the line has a negative slope.H16GThe graph of the line has a positive slope.J4HThe graph of the line has a negativey-intercept.JThe graph of the line has a positivey-intercept.Which of the following problems can be solvedusing the equation 5x 35 50?ATamara borrowed 50 from a friend. Thefriend charged her 5% simple interest permonth for x months. If Tamara pays herfriend 5 per month, after how manymonths will Tamara owe her friend 35?BIt took Kyla 5 hours to ride her bike35 miles. If Kyla continued riding at thissame rate, how many hours, x, would ittake her to ride 50 miles?CAkashi made x deposits of 5 each into hisbank account. Then he withdrew 35. Ifhe had 50 in his account, how manydeposits did he make?DMarcus purchased a new shirt for 35 and5 pairs of socks for x dollars a pair.Marcus spent a total of 50. How muchdid each pair of socks cost?Page 19GO ON
29The two identical rectangular doors of a barn have glass panes in the top half, and each bottom half ismade of solid wood, as shown below.10 ftx12 ftWhich of the following measurements is closest to x, the length of the diagonal brace on the bottom halfof each door?1ft2A6B11 ftC8 ftD51ft2Page 20GO ON
3031Which point on the grid below satisfies theconditions x 2 and y 3?y98There are 8 sixth-grade classes and 195 sixthgrade students at Edison Middle School. Theequation 8s 195 can be used to determines, the mean number of students per class.Based on the solution s 24.375, which of thefollowing statements could be true?76AThere are 5 sixth-grade classes with24 students each and 3 sixth-grade classeswith 25 students each.BThere are 7 sixth-grade classes with24 students each and 1 sixth-grade classwith 25 students.CThere are 8 sixth-grade classes with25 students each.DThere are 8 sixth-grade classes with24 students each.54321–9 –8 –7 –6 –5 –4 –3 –2 –1 0–1123456789x–2–3–4–5–6–7–8–9F( 5, 2)G(5, 3)H(2, 4)J( 3, 2)32Page 21The volume of a cube is 125x 3y 3 cubic units,and the area of its base is 25x 2y 2 square units.What is the length of an edge of the cube inunits if x 0 and y 0?F5unitsxyG5x 5y 5 unitsH5xy unitsJ100xy unitsGO ON
33The net of a rectangular prism is shown below.357.4 cm3.1 cm3.1 cm1x 3, which of2the following statements is true?If y is a function of x in y AThe independent variable, y, is 3 more1thanthe dependent variable, x.2BThe dependent variable, y, is 3 more than1the independent variable, x.2CThe independent variable, x, is 3 more1thanthe dependent variable, y.2DThe dependent variable, x, is 3 more than1the independent variable, y.25 cm3.1 cm3.1 cm5 cmWhat is the total surface area of therectangular prism represented by this net?34A114.70 cm 2B150.88 cm 2C105.00 cm 2D119.88 cm 236Which expression is equivalent to 3 times thesum of x squared and 7?F3x 2 7G(3x 7) 2H3(x 7) 2J3(x 2 7)Carmen received a 0.25 raise in her hourlypay rate. Her first paycheck after the raiseshowed a total pay of 308 for 40 hours ofwork. Which method can be used to determinewhat Carmen’s hourly pay rate was before theraise?FSubtract 0.25 from 40 and then divide 308by this differenceGDivide 308 by 40 and then add 0.25 to thisquotientHMultiply 0.25 by 40 and then divide 308by this productJDivide 308 by 40 and then subtract 0.25from this quotientPage 22GO ON
37The table below shows ordered pairs of a linear –10 –9 –8 –7 –6 –5 –4 –3 –2 –1 0–1123456789 10x–2–3–4–5–6–7–8–9–10What are the x- and y-intercepts for the graph of this linear function?Ax-intercept: ( 6, 0)y-intercept: (0, 9)Bx-intercept: (0, 6)y-intercept: (9, 0)Cx-intercept: (0, 9)y-intercept: ( 6, 0)Dx-intercept: (9, 0)y-intercept: (0, 6)38Mr. Sylvester bought gardening supplies for 79.75, not including tax. If the tax rate was8%, what was the total cost of these gardeningsupplies, including tax?F 86.13G 73.37H 87.75JNot herePage 23GO ON
39Use the ruler on the Mathematics Chart to measure the side lengths of rectangle PQRS andrectangle P′Q′R′S′ to the nearest 0.1 centimeter.PQSRP'Q'S'R'Which of the following is closest to the scale factor used to dilate rectangle PQRS to createrectangle P′Q′R′S′?40A0.625B1.6C0.525D2.03 2x 1 is translated up44 units, which of the following equationsIf the graph of y 41A student tried to solve the following equationbut made a mistake.Step 1: 9 5(2x 1) 28represents the resulting graph?Fy 3x 2 43 2x 34Gy Hy 3x 2 4Step 2:4(2x 1) 28Step 3:8x 4 28Step 4:8x 32Step 5:x 4In which step did the mistake first appear?Jy Page 243 2x 54AStep 2BStep 3CStep 4DStep 5GO ON
4243Desmond wants to take guitar lessons. Theone-time registration fee is 60, and eachlesson costs 40. Which of the followinginequalities can Desmond use to determinex, the number of lessons he can take if hewants to spend no more than c dollars?44Tyler wants to buy a video-game system for 375. He can pay for the system in 12 monthsif he pays 75 now and 25 each month. Howwill the number of monthly payments beaffected if Tyler pays 75 now and 30 eachmonth?F60x 40x cFHe will make 10 fewer monthly payments.G60 40x cGHe will make 2 fewer monthly payments.H60x 40x cHHe will make 3 fewer monthly payments.J60 40x cJHe will make 5 fewer monthly payments.What is the parent function of the graph shownon the grid below?y45A company designed a new label to completelycover the lateral surface area of a cylindrical1can without any overlap. The can is 5 inches2tall and 3 inches in diameter. Which of the9following is closest to the area of this new87label?654A52 in. 2B160 in. 2C104 in. 2D66 in. 2321–9 –8 –7 –6 –5 –4 –3 –2 –1 0–1–2123456789x–3–4–5–6–7–8–9Ay xBy x 2Cy xDy x2Page 25GO ON
46Which graph best represents the function y 0.8x 1.4?yyF99887766554433221–9 –8 –7 –6 –5 –4 –3 –2 –1 ��9 –8 –7 –6 –5 –4 –3 –2 –1 0–1123456789123456789xyyG1–9 –8 –7 –6 –5 –4 –3 –2 –1 0–1123456789xJ1–9 –8 –7 –6 –5 –4 –3 –2 –1 ��7–8–8–9–9xWhich expression represents the area of arectangle with sides measuring x 2y and 2xy 2 ?A2x 3y 3B2x 2y 2C4x 4y 3D4x 3y 4Page 26GO ON
48The table shows values for the independentand dependent quantities in a functionalrelationship.50David wants to spread wildflower seeds in arectangular field that is 60 feet wide and70 feet long. Each package of wildflower seedscovers about 175 square feet and costs 6.95.Which of the following amounts is closest tothe total cost of the wildflower seeds Davidneeds for this field?IndependentQuantityDependentQuantity012348F 24.007G 170.006H 604.005J 310.004Which function best represents thisrelationship?49Ff(x) x 8Gf(x) x 8Hf(x) 8 – xJf(x) 8 xCeleste made a model of her grandfather’sfishing boat using a scale where 2 inchesrepresents 3 feet. Her grandfather’s actualboat is 28 feet long. What is the length ofCeleste’s model boat?2in.3A4B18C22 in.D42 in.51A school principal ordered 100 pizzas for atotal of 1255. Cheese pizzas cost 11.50 each,and pepperoni pizzas cost 13.00 each. Whichof the following systems of linear equationscan be used to determine c, the number ofcheese pizzas the principal ordered, and p, thenumber of pepperoni pizzas the principalordered?Ac p 10013c 11.50p 1255Bc p 10013c 11.50p 1255Cc p 10011.50c 13p 1255Dc p 10011.50c 13p 12552in.3Page 27GO ON
52The graph below shows the 2004 average yearly earnings of people at least 18 years old according tothe highest degree they have earned.Average Earnings in 2004120,000110,000100,00090,000Earnings( oralreehig0h s SomechoolHigdip h sclom hooao lnlySomeno collegdeg e:reeAssociadeg te’sreeB achedeg lor’sreeMasdeg ter’sreeProfessidegonalree10,000Highest Degree EarnedAccording to the graph, which of the following statements is true?FIn 2004 a person with an associate’s degree earned more than twice as much as a person with ahigh school diploma.GIn 2004 a person with a high school diploma earned about 9,000 more than a person with onlysome high school.HIn 2004 a person with a doctoral degree earned less than 3 times as much as a person with a highschool diploma.JIn 2004 a person with a high school diploma earned 100,000 less than a person with a professionaldegree.BE SURE YOU HAVE RECORDED ALL OF YOUR ANSWERSPage 28ON THE ANSWER DOCUMENT.
TAKS GRADE 9M ATHEMATICSAPRIL 2009
Mathematics Chart Perimeter rectangle P 2l 2w or P 2(l w) Circumference circle C 2πr or C πd Area rectangle A lw or A bh triangle A bh or A trapezoid A (b 1 b 2)h or A regular polygon A aP circle A πr2 P represents the Perimeter of the Base of a three-dimensional figure. B repre
