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California Subject Examinations for Teachers (CSET )CSET: Multiple Subjects Practice TestSubtest IIScience; MathematicsCopyright 2014 Pearson Education, Inc. or its affiliate(s). All rights reserved.Evaluation Systems, Pearson, P.O. Box 226, Amherst, MA 01004California Subject Examinations for Teachers, CSET, and the CSET logo are trademarks of theCommission on Teacher Credentialing and Pearson Education, Inc. or its affiliate(s).Pearson and its logo are trademarks, in the U.S. and/or other countries, of Pearson Education, Inc. or its affiliate(s).
Multiple Subjects Practice Test: Subtest IITABLE OF CONTENTSIntroduction and Test Directions . 1Multiple-Choice Answer Sheet . 2Multiple-Choice Questions. 3Constructed-Response Directions and Evaluation Recommendations . 31Constructed-Response Assignments and Response Sheets . 32Results . 40
Multiple Subjects Practice Test: Subtest IIINTRODUCTIONThis practice test is a full-length sample test consisting of 52 multiple-choice questions and four constructedresponse assignments. An answer sheet for the multiple-choice questions, blank response sheets for theconstructed-response assignments, and a Domain Results Worksheet for each domain are also included.TEST DIRECTIONSThis practice test consists of two sections: (1) a multiple-choice question section and (2) a constructed-responseassignment section. Each question in the first section of the practice test is a multiple-choice question with fouranswer choices. Read each question carefully and choose the ONE best answer. Record each answer on theanswer sheet provided on page 2.The second section of this practice test contains constructed-response assignments, which require writtenresponses. Directions for the constructed-response assignments appear immediately before those assignments.You may work on the multiple-choice questions and constructed-response assignments in any order that youchoose. You may wish to monitor how long it takes you to complete the practice test. When taking the actualCSET: Multiple Subjects, you will have one five-hour test session in which to complete all three subtests. If youregister to take just Subtest II, you will have one three-hour session in which to complete the subtest.1
Multiple Subjects Practice Test: Subtest IIMULTIPLE-CHOICE ANSWER 495051522YourResponse
Multiple Subjects Practice Test: Subtest IIMULTIPLE-CHOICE QUESTIONS1.2.Which of the following steps in making acup of coffee involves a chemical changein matter?Use the section of the periodic tablebelow to answer the question thatfollows.A.Whole-bean coffee is ground in acoffee grinder.6C12.017N14.018O16.00B.A burner on a propane stove islighted to heat water.14Si28.115P31.016S32.1C.Water in a kettle begins to boil.D.Boiling water is poured through afilter containing ground 2Te127.682Pb207.283Bi209.084Po(210)Which of the elements in the section of theperiodic table shown above are likely tohave the most similar chemical properties?3A.Si and GeB.C and OC.Sb and TeD.N and S
Multiple Subjects Practice Test: Subtest II3.4.Which of the following liquids is the mostacidic and will have the lowest pH?A.milkB.household ammoniaC.distilled waterD.vinegar4C14 is an isotope of C12. Both carbonatoms have an atomic number of six.Which of the following is the maindifference between these two types ofcarbon atom?A.The C14 atom has eight neutrons andthe C12 atom has six neutrons.B.The C14 atom has fourteen electronsand the C12 atom has twelveelectrons.C.The C14 atom has eight protons andthe C12 atom has six protons.D.The C14 atom has fourteen neutronsand the C12 atom has twelveneutrons.
Multiple Subjects Practice Test: Subtest II5.Use the table below to answer the question that follows.LineMass 41neutralnucleusWhich line in the table above accuratelylists the mass, charge, and location of aproton?6.A.Line 1B.Line 2C.Line 3D.Line 4Which of the following is the bestexample of the refraction of light waves?A.Markings on flowers that areinvisible in normal light can beseen in ultraviolet light.B.Deep lakes appear to be blue orgreen in color.C.Sunlight striking a black box willmake the box warmer than the samelight striking a white box.D.Light passing through raindropsproduces a rainbow.5
Multiple Subjects Practice Test: Subtest II7.8.Newton's third law of motion states thatfor every action there is an equal andopposite reaction. Which of the followingis the best example of the application ofthis law?A.More fuel is needed to drive a truckten miles when it is loaded thanwhen it is unloaded.B.An inflated balloon moves throughthe air when a jet of air leaves itsneck as it deflates.C.Less force is needed to pull a sledover ice than is needed to pull itover sand.D.A passenger in a car continuesmoving forward when the carstops suddenly.6Which of the following examples bestdemonstrates the difference betweenthermal energy and temperature?A.A cup of water at 50 C contains lessthermal energy than a bathtub full ofwater at 10 C.B.The same amount of water losesheat faster if it is in a tall, narrowbottle than if it is in a short, widebottle.C.A dark-colored object gets warmerin the sun than a light-coloredobject.D.A person feels cooler on a cold daywhen the wind is blowing.
Multiple Subjects Practice Test: Subtest IIA large round boulder is pushed from the top of a smooth steep hill and rolls to the bottom. Which of thefollowing graphs shows the distance the boulder travels with respect to time as it rolls down the stance9.0Time7Time
Multiple Subjects Practice Test: Subtest II10.11.12.The stems of a bunch of just-cut whiteflowers are immersed in a container ofwater to which blue dye has been added.After 24 hours, 2 tablespoons of salt areadded to the water. Twenty-four hourslater the flowers will most likely appear:A.wilted and light blue.B.fresh and white.C.wilted and white.D.fresh and light blue.Which of the following statements bestexplains how carbon plays a central rolein the functioning of biological systems?A.Carbon actively transports nutrientsand wastes across cell membranes.B.Carbon insulates nerves because ithas very low electrical conductivity.C.Carbon combines with a largenumber of other elements to forma variety of useful compounds.D.Carbon transports oxygen throughthe bloodstream to the cells of thebody.Use the diagram below to answer thequestion that ventricleWhich chamber of the heart labeled in thediagram above is primarily responsible forpumping blood to most of the organs andtissues of the body?A.left atriumB.left ventricleC.right atriumD.right ventricle8Certain species of acacia trees have longhollow thorns that house stinging ants.The ants feed on nectar produced by thetree and attack anything that touches thetree. The relationship between the antsand the acacias is an example tion.
Multiple Subjects Practice Test: Subtest IIUse the information below to answer the two questions that follow.Tertiary ConsumerSecondary ConsumerPrimary ConsumerProducerThe diagram above is a generalized energy pyramid for a freshwater swamp and surrounding forest in amild, temperate climate. The swamp is dominated by reeds and other swamp grasses, with various shrubsand trees on the higher ground. A large number of animal species, ranging in size from small insects todeer, are present in the swamp and forest.14.15.The energy pyramid is narrower at the topthan at the bottom because organisms atthe higher levels:A.exploit a narrower range ofenvironmental resources than theorganisms at the lower levels.Which of the following environmentalfactors is likely most important indetermining the distribution of theplant species within the swamp-forestecosystem described?A.carbon dioxide levelare larger and require less energyper unit of body mass than theorganisms at the lower levels.B.soil moistureC.herbivoresC.have less energy available to themthan organisms at the lower levels.D.cloud coverD.are more efficient at producingenergy from sunlight than theorganisms at the lower levels.B.9
Multiple Subjects Practice Test: Subtest II16.17.Some species of aphids can reproduceasexually under certain conditions.Female aphids produce other femaleaphids without being fertilized by a male.This asexual reproduction may continueover many generations during the summer.In late summer or early fall, male aphidsare produced and sexual reproductionresumes. Which of the following is mostlikely to be an advantage to a female aphidasexually reproducing during the summer?A.Competition for food increases insummer, and the aphid's offspringaid in defending resources.B.Unstable environmental conditionsin summer make it difficult for afemale aphid to travel in order tofind mates.C.A female can replicate her genesvery rapidly by producing largenumbers of identical offspring whenfood is plentiful in summer.D.18.A female aphid passes downfavorable mutations to her offspringin the summer when temperaturesare high.10In which of the following cases of celldivision is the amount of genetic materialhalved?A.A bacterium undergoes fission toproduce two cells.B.Cells in the tail stump of a lizarddivide and produce a new tail afterthe original tail is lost to a predator.C.A cell in the testes of a malesparrow divides and producesfour sperm.D.An ovum in a female mouse dividesshortly after being fertilized by asperm from a male mouse.When a seed germinates, its roots willgrow down and its shoots will grow up,even if the seed is planted upside down.This downward growth of roots andupward growth of shoots is due to theplant's response to:A.gravity.B.light.C.temperature.D.moisture.
Multiple Subjects Practice Test: Subtest II19.Use the diagram below to answer the question that follows.Note: Not to ScaleEarthSunNew MoonAccording to the diagram above, whichof the following statements about the fullmoon is true?A.A lunar eclipse is visible somewhereon Earth whenever there is a fullmoon.B.The full moon is never in the sky atthe same time as the sun.C.The moon always appears fullsomewhere on Earth.D.A full moon occurs whenever themoon is closest to Earth.11Full Moon
Multiple Subjects Practice Test: Subtest II20.21.The shape of the Milky Way galaxy isbest described as:A.a flat central disk with rotatingspiral arms.B.a spherical cloud of uniformlydistributed matter.C.a long, thin ribbon with raggededges.D.an irregular cluster with multipleconcentrations of matter.22.12During the Loma Prieta Earthquake of1989, homes located nearest to SanFrancisco Bay generally sustained worsedamage than similar homes further fromthe bay. The severity of the damagesustained by homes nearest to the bay ismost likely due to the:A.presence of active faults thatroughly parallel the shoreline.B.intensity of secondary shaking nearthe shore from oscillating waves inthe bay.C.existence of sediments and fill nearthe shoreline.D.rate at which earthquake wavesaccelerate as they pass throughwater.A scientist would use a barometer inorder to compare which of the followingconditions between two localities?A.wind speedB.humidityC.temperatureD.air pressure
Multiple Subjects Practice Test: Subtest II23.24.Summer days in parts of California areoccasionally interrupted by afternoonthunderstorms. Which of the followingstatements best describes the typicalconditions that lead to these summerthunderstorms?A.B.Use the map below to answer thequestion that follows.High winds lift large quantities ofdust into the air, providing particlesaround which water can condenseinto thunderheads.12Fast-moving winds in the upperatmosphere mix warm and cold air,creating turbulence and causingpowerful updrafts and downdrafts.4Pacific OceanC.A cold front moving through thearea forces warm air up, causingcondensation of water and theformation of thunderheads.D.Humid conditions in a fast-movingwarm front increase the electricalconductivity of the air, promotinglightning discharge.3Which point on the map above would belikely to experience the greatest dailydifference between high and low tides?13A.Point 1B.Point 2C.Point 3D.Point 4
Multiple Subjects Practice Test: Subtest II25.26.Certain lakes in arid environments, suchas the Great Salt Lake in Utah and theDead Sea in Israel, are extremely saline.Other lakes in similarly arid environmentscontain fresh, rather than salt, water.Which of the following is the mostaccurate explanation for the high salinityof saltwater lakes?A.B.C.D.Saltwater lakes are fed by underground hot springs that contain veryhigh levels of dissolved mineralsalts.Rivers that flow into saltwater lakesdrain sparsely vegetated and easilyeroded rock and soil that containlarge quantities of mineral salts.Water does not drain out ofsaltwater lakes and is removedprimarily by evaporation, whichleaves salt behind.Saltwater lakes are deep and cold,and cold water is able to hold agreater quantity of salt in solutionthan warm water.14A researcher is preparing to study theeffects of logging on the streams andlakes of an area in the Pacific Northwest.Which of the following types of information would be a primary source of datato the researcher in preparing for thisinvestigation?A.newspaper articles about loggingmethods and their potential forenvironmental damageB.reports by an environmental groupdetailing silting of a stream causedby logging in a forest in MaineC.topographic maps of the areashowing logging roads and areasof clear-cuttingD.U.S. Department of Interior's reporton recreational use of the land inthe area
Multiple Subjects Practice Test: Subtest II27.28.If the number 360 is written as a product of its prime factors in theform a3b2c, what is the numerical value of a b c?A.10B.16C.17D.22Use the diagram below to answer the question that follows.What is the sum of the shaded areas in the three circles above if eachcircle represents one unit?9A.1 21B.1 42C.1 168D.1 336153720515
Multiple Subjects Practice Test: Subtest II29.Use the problem below to answer the question that follows.For a bake sale, Marianne has baked p chocolate chip cookiesand Jeffrey has baked q peanut butter cookies. They want topackage their cookies separately so that each bag has the samenumber of cookies. How many cookies could they put in eachbag?Which of the following methods could be used to find all thesolutions to this problem?30.A.Find the divisors of p q.B.Find the common factors of p and q.C.Find the prime factors of p q.D.Find the common multiples of p and q.What value does the 2 represent in the number 2.1 10–3?A.210,000B.21000C.2100D.21016
Multiple Subjects Practice Test: Subtest II31.Use the number line below to answer the question that follows.PQ01Which of the following numbers can be represented on the numberline between points P and Q?32.A.1737B.2643C.3959D.5771In a town with a population of 4800 people, 8% of the population isevenly distributed in grades 1–6. Approximately how many studentsare in grade 4?A.55B.64C.77D.9617
Multiple Subjects Practice Test: Subtest II33.Use the numbers below to answer the question that follows.212206246238231216224To estimate the sum of the numbers given above, Riley first roundseach number to the nearest ten and then adds the rounded values. Byhow much will Riley's estimate differ from the actual sum?34.A.3B.7C.33D.7311Which of the following illustrates the operation 12 4?A.1Sean has 12 pounds of popcorn. He wants to divide it equallyinto 4 bags. How many pounds should he put into each bag?B.1A trip to the beach is usually a 12-hour drive. Repairs to the1freeway have increased the travel time by 4. How long will thetrip take?C.11Maria has 12 yards of rope. She wants to divide it into 4-yardlengths. How many pieces of rope will she have?D.11The perimeter of a rectangular field is 12 miles. The field is 4mile wide. How long is the field?18
Multiple Subjects Practice Test: Subtest II35.11Pat is baking a cake. The recipe calls for of 24 cups of flour per 2pound of butter. If Pat uses 3 cups of flour, how much butter shouldbe used to keep the proportion of ingredients equal?36.A.16poundB.14poundC.38poundD.23poundThe problem below shows steps in finding the product of two twodigit numbers using this standard multiplication algorithm. Themissing digits in the problem are represented by the symbol . 9 362 9 4 What is the hundreds digit in the product of the two numbers?A.1B.4C.6D.719
Multiple Subjects Practice Test: Subtest IIUse the table below to answer the question that .29The table gives the area of several circles of different radii. Which of the following graphs bestrepresents the data in the sRadius20
Multiple Subjects Practice Test: Subtest II38.39.Grapefruits in a supermarket display are stacked in the shape of apyramid. Each layer of the stack is square. The bottom layer is asquare with 5 grapefruits on each side. The side of each successivelayer is made shorter by one grapefruit. What is the total number ofgrapefruits that can be stacked?A.15B.35C.54D.55Use the graph below to answer the question that follows.y54AB32C1–5 –4 – 3 –2 –112345x–1–2–3ED–4–5Point E is on a line with a slope of 2 in the x-y plane. Which of thefollowing points is also on the line?A.AB.BC.CD.D21
Multiple Subjects Practice Test: Subtest II40.41.A repair person charges a 30 fixed charge plus 45 per hour fortime spent working. What is the total bill for a job that requiresn hours of work?A.( 30 45)nB. 15n 30C. 30n 45D. 45n 30Use the equation below to answer the question that follows.3n 2(n – 4) n 15Which of the following equations could occur as a step in solving theequation above for n?A.4n 19B.4n 7C.4n 23D.6n 722
Multiple Subjects Practice Test: Subtest II42.Use the diagram below to answer the question that follows.BR3 kmA4 kmS2 kmCNote: not drawn to scaleTo find the length of a lake, surveyors measure the distances shownsuch that K ABC and K ARS are similar. If RS 3 km, AS 4 km,and SC 2 km, what is BC, the length of the lake?43.A.4.5 kmB.5 kmC.6 kmD.8 kmTriangle ABC is isosceles. Angle B has a measure of 120 . What isthe measure of angle A?A.30 B.45 C.60 D.120 23
Multiple Subjects Practice Test: Subtest IIUse the diagram below to answer the question that follows.C8 kmMain Road44.ACross RoadWest RoadB6 kmMain Road and West Road are perpendicular and intersect at point A.Cross Road intersects Main Road 8 km from point A and intersectsWest Road 6 km from point A. What is CB, the length of CrossRoad?A.28 kmB.10 kmC.14 kmD.28 km24
Multiple Subjects Practice Test: Subtest II45.Use the diagram below to answer the question that follows.LRA1AR2 cmA2The figure above is rolled up and folded to make a cylinder ofvolume 10 cm3. Which of the following statements about the figuremust be true?A.The area of the rectangular section, AR, is 10 cm2.B.The length of the rectangle, LR, is 5 cm2.C.The area of each circular section, A1 and A2, is 5 cm2.D.The sum of the areas of the circular sections, A1 A2, equals5 cm2.25
Multiple Subjects Practice Test: Subtest II46.Use the diagram below to answer the question that follows.yD (4, 4)A (2, 2)C(6, 2) BxGiven that figure ABCD is a parallelogram, what are the coordinatesof point C?A.(4, 8)B.(6, 4)C.(8, 4)D.(12, 4)26
Multiple Subjects Practice Test: Subtest II47.Use the diagram below to answer the question that follows.ABCA regular hexagon is made from equilateral triangle ABC by cuttingalong the dotted lines and removing the three smaller triangles. Iftriangle ABC has a perimeter of 18, what is the perimeter of thehexagon?A.6 3B.9C.12D.1527
Multiple Subjects Practice Test: Subtest II48.49.The scale on a map is 1 inch 15 miles. On the same map, thedistance between Belmont and Smithville is 13 inches. Which of thefollowing is the best estimate of how long it will take to drive fromBelmont to Smithville at an average speed of 60 miles per hour?A.2 hours 8 minutesB.2 hours 14 minutesC.3 hours 15 minutesD.4 hours 0 minutesIn some countries, area is measured in pings. If the area of arectangular piece of land that measures 22 feet 27 feet is 33 pings,how many square feet is equal to one ping?A.6B.18C.26.9D.40.528
Multiple Subjects Practice Test: Subtest II50.Use the table below to answer the question that v.Dec.28 29 38 44 58 73 78 77 72 63 47 35 The table above gives the mean temperatures for each month of theyear. What is the range in mean temperatures during this year?51.A.50 B.52.5 C.53.0 D.53.5 The range of hourly wages for 15 employees of a small companystarts at 7.50 and ends at 21.40. If only one worker receives themedian wage of 8.90, how many workers receive a higher hourlywage?A.5B.6C.7D.829
Multiple Subjects Practice Test: Subtest II52.Each of the numbers from 4 to 24 inclusive is written on a separatepiece of paper and placed in a bag. If one of these pieces of paperis randomly selected from the bag, what is the probability that thenumber on it will be a prime number?A.27B.310C.13D.72030
Multiple Subjects Practice Test: Subtest IICONSTRUCTED-RESPONSE DIRECTIONS ANDEVALUATION RECOMMENDATIONSPrepare a written response of approximately 100–200 words for each constructed-response assignment. Readeach assignment carefully before you begin to write. Think about how you will organize what you plan to write.Scoring of responses to CSET: Multiple Subjects constructed-response assignments is based on the followingcriteria. PURPOSE: the extent to which the response addresses the constructed-response assignment's charge inrelation to relevant CSET content specifications SUBJECT MATTER KNOWLEDGE: the application of accurate subject matter knowledge asdescribed in the relevant CSET content specifications SUPPORT: the appropriateness and quality of the supporting evidence in relation to relevant CSETcontent specificationsThe assignments are intended to assess subject matter knowledge, not writing ability. Your responses, however,must be communicated clearly enough to permit a valid judgment of your knowledge and skills. Your responsesshould be written for an audience of educators in the field.You may wish to ask a mentor, advisor, or teacher to help evaluate your responses to the constructed-responseassignments. Sample responses are provided for these assignments in the CSET: Multiple Subjects Test Guide(available at www.ctcexams.nesinc.com). You may wish to review these sample responses and/or refer to themwhen evaluating your practice test responses.31
Multiple Subjects Practice Test: Subtest IICONSTRUCTED-RESPONSE ASSIGNMENT #1Complete the exercise that follows.A butterfly collector is studying a species of butterfly that has expanded its range into a new area over the lastthirty years. The butterflies in the new area feed on a species of flower that has a deeper throat than the flowersexploited by the butterfly species in its original range. The average length of the proboscis that is used to sucknectar from flowers is also greater in butterflies that inhabit the new area. The collector hypothesizes thatindividual butterflies that moved into the area and exploited the new flower grew longer proboscises during theirlifetimes in order to reach the nectar. The gene for the longer proboscis was then inherited by the offspring ofthese individuals until the entire population consisted of butterflies with longer proboscises than butterflies in theoriginal population.Using your knowledge of evolutionary theory: discuss the validity of the researcher's explanation for the increase in average proboscis length in butterfliesinhabiting the new area; and provide an alternative explanation that is consistent with accepted evolutionary theory for the change inproboscis length in butterflies inhabiting the new area.32
Multiple Subjects Practice Test: Subtest IICONSTRUCTED-RESPONSE SHEET—ASSIGNMENT #1Scoring of responses to CSET: Multiple Subjects constructed-response assignments is based on the following criteria. PURPOSE: the extent to which the response addresses the constructed-response assignment's charge inrelation to relevant CSET content specifications SUBJECT MATTER KNOWLEDGE: the application of accurate subject matter knowledge as described inthe relevant CSET content specifications SUPPORT: the appropriateness and quality of the supporting evidence in relation to relevant CSET contentspecificationsThe assignments are intended to assess subject matter knowledge, not writing ability. Your responses, however, must becommunicated clearly enough to permit a valid judgment of your knowledge and skills. Your responses should bewritten for an audience of educators in the field.33
Multiple Subjects Practice Test: Subtest IICONSTRUCTED-RESPONSE ASSIGNMENT #2Use the diagram below to complete the exercise that follows.The diagram above represents a geological section through a sequence of layers of sedimentary rock. In thissequence, the following events, which are listed in random order, have occurred.deposition of the Elliot limestoneParkside faultdeposition of the Martin shaledeposition of the San Luis tillerosion between the Martin shale and the San Luis tilldeposition of the Hosta sandstoneUsing your knowledge of geology: list the correct order in which the events occurred, from longest ago to most recent; and identify one piece of evidence that supports the conclusion that erosion has occurred between the Martin shaleand the San Luis till.34
Multiple Subjects Practice Test: Subtest IICONSTRUCTED-RESPONSE SHEET—ASSIGNMENT #2Scoring of responses to CSET: Multiple Subjects constructed-response assignments is based on the following criteria. PURPOSE: the extent to which the response addresses the constructed-response assignment's charge inrelation to relevant CSET content specifications SUBJECT MATTER KNOWLEDGE: the application of accurate subject matter knowledge as described inthe relevant CSET content specifications SUPPORT: the appropriateness and quality of the supporting evidence in relation to relevant CSET contentspecificationsThe assignments are intended to assess subject matter knowledge, not writing ability. Your responses, however, must becommunicated clearly enough to permit a valid judgment of your knowledge and skills. Your responses should bewritten for an audience of educators in the field.35
Multiple Subjects Practice Test: Subtest IICONSTRUCTED-RESPONSE ASSIGNMENT #3Use the diagram and the information below to complete the exercise that follows.42 in.72 in.An artist is planning to construct a rectangular wall design from square tiles. The wall design is to be 72 incheslong and 42 inches wide. All the square tiles must be the same size, and the length of the sides of the tiles must bea whole number.Using your knowledge of number theory and geometry: find three different sizes of square tiles that could be used to completely fill the rectangular space, with notiles overhanging the border; and determine the smallest number of square tiles that could be used to fill the rectangular space.36
Multiple Subjects Practice Test: Subtest IICONSTRUCTED-RESPONSE SHEET—ASSIGNMENT #3Scoring of responses to CSET: Multiple Subjects constructed-response assignments is based on the following criteria. PURPOSE: the extent to which the response addresses the constructed-response assignment's charge inrelation to relevant CSET content specifications SUBJECT MATTER KNOWLEDGE: the application of accurate subject matter knowledge as described inthe relevant CSET content specifications SUPPORT: the appropriateness and quality of the supporting evidence in relation to relevant CSET contentspecificationsThe assignments are intended to assess subject matter knowledge, not writing ability. Your responses, however, must becommunicated clearly enough to permit a valid judgment of your knowledge and skills. Your responses should bewritten for an audience of educators in the field.37
Multiple Subjects Practice Test: Subtest IICONSTRUCTED-RESPONSE ASSIGNMENT #4Complete the exercise that follows.EbHFcaGFour congruent triangles, each having legs of length a and b and hypotenuse of length c, are arranged as in thediagram above to produce square EFGH.Using your knowledge of algebra and geometry: write an expression for the area of square EFGH in terms of the length of its sides; write an expression for the area of square EFGH in terms of the area of its component parts (i.e., fourtriangles and a square); and set these two expressions equal and show that this leads to a proof of the Pythagorean theorem.38
Multiple Subjects Practice Test: Subtest IICONSTRUCTED-RESPONSE SHEET—ASSIGNMENT #4Scoring of responses to CSET: Multiple Subjects constructed-response assignments is based on the following criteria. PURPOSE: the extent to which the response addresses the constructed-response assignment's charge inre
TEST DIRECTIONS This practice test consists of two sections: (1) a multiple-choice question section and (2) a constructed-response assignment section. Each question in the first section of the practice test is a multiple-choice question with four answer choices. Read each question carefully
