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Release of Spring 2021MCAS Test Itemsfrom theGrade 8 MathematicsPaper-Based TestJune 2021Massachusetts Department ofElementary and Secondary Education
This document was prepared by theMassachusetts Department of Elementary and Secondary EducationJeffrey C. RileyCommissionerThe Massachusetts Department of Elementary and Secondary Education, an affirmative action employer,is committed to ensuring that all of its programs and facilities are accessible to all members of the public.We do not discriminate on the basis of age, color, disability, gender identity, national origin, race, religion, sex orsexual orientation. Inquiries regarding the Department’s compliance with Title IX and other civil rights laws maybe directed to the Human Resources Director, 75 Pleasant St., Malden, MA 02148 781-338-6105. 2021 Massachusetts Department of Elementary and Secondary EducationPermission is hereby granted to copy for non-commercial educational purposes any or all parts ofthis document with the exception of English Language Arts passages that are not designated as inthe public domain. Permission to copy all other passages must be obtained from the copyright holder.Please credit the “Massachusetts Department of Elementary and Secondary Education.”Massachusetts Department of Elementary and Secondary Education75 Pleasant Street, Malden, MA 02148-4906Phone 781-338-3000 TTY: N.E.T. Relay 800-439-2370www.doe.mass.edu
Overview of Grade 8 Mathematics TestThe spring 2021 grade 8 Mathematics test was a next-generation assessment that was administered in two primary formats:a computer-based version and a paper-based version. The vast majority of students took the computer-based test. The paperbased test was offered as an accommodation for students with disabilities who are unable to use a computer, as well as forEnglish learners who are new to the country and are unfamiliar with technology.Most of the operational items on the grade 8 Mathematics test were the same, regardless of whether a student took the computerbased version or the paper-based version. In places where a technology-enhanced item was used on the computer-based test, anadapted version of the item was created for use on the paper test. These adapted paper items were multiple-choice, multiple-select,or short-answer items that tested the same Mathematics content and assessed the same standard as the technology-enhanced item.This document displays released items from the paper-based test. Released items from the computer-based test areavailable on the MCAS Resource Center website at mcas.pearsonsupport.com/released-items.Test Sessions and Content OverviewThe grade 8 Mathematics test was made up of two separate test sessions. Each session included selected-response, shortanswer, and constructed-response questions. On the paper-based test, the selected-response questions were multiple-choiceitems and multiple-select items, in which students select the correct answer(s) from among several answer options.In 2021, due to the COVID-19 pandemic, the Department reduced testing time for students in grades 3–8 through a sessionsampling approach, in which each student took only a portion of each MCAS assessment. Instead of taking two sessions ineach subject, individual students took one session each.Standards and Reporting CategoriesThe grade 8 Mathematics test was based on standards in the five domains for grade 8 in the Massachusetts CurriculumFramework for Mathematics (2017). The five domains are listed below. The Number System Expressions and Equations Functions Geometry Statistics and ProbabilityThe Massachusetts Curriculum Framework for Mathematics is available on the Department website tics test results are reported under five MCAS reporting categories, which are identical to the five frameworkdomains listed above.The tables at the conclusion of this document provide the following information about each released and unreleasedoperational item: reporting category, standard(s) covered, item type, and item description. The correct answers for releasedselected-response and short-answer questions are also displayed in the released item table.Reference Materials and ToolsEach student taking the paper-based version of the grade 8 Mathematics test was provided with a plastic ruler and a grade 8Mathematics Reference Sheet. A copy of the reference sheet follows the final question in this document. An image of the ruleris not reproduced in the document.During Session 2, each student had sole access to a calculator. Calculator use was not allowed during Session 1.During both Mathematics test sessions, the use of bilingual word-to-word dictionaries was allowed for current and formerEnglish learner students only. No other reference tools or materials were allowed.1
Grade 8 MathematicsSESSION 1This session contains 10 questions.You may use your reference sheet during this session.You may not use a calculator during this session.DirectionsRead each question carefully and then answer it as well as you can. You must recordall answers in this Test & Answer Booklet.For some questions, you will mark your answers by filling in the circles in yourTest & Answer Booklet. Make sure you darken the circles completely. Do not makeany marks outside of the circles. If you need to change an answer, be sure to eraseyour first answer completely.For other questions, you will need to fill in an answer grid. Directions for completingquestions with answer grids are provided on the next page.If a question asks you to show or explain your work, you must do so to receive fullcredit. Write your response in the space provided. Only responses written within theprovided space will be scored.2
Mathematics Session 1Directions for Completing Questions with Answer Grids1.Work the question and find an answer.2.Enter your answer in the answer boxes at the top of the answer grid.3. Print only one number or symbol in each box. Do not leave a blank box inthe middle of an answer.4. Under each answer box, fill in the circle that matches the number orsymbol you wrote above. Make a solid mark that completely fills thecircle.5.Do not fill in a circle under an unused answer box.6. Fractions cannot be entered into an answer grid and will not be scored.Enter fractions as decimals.7. If you need to change an answer, be sure to erase your first answercompletely.8.See below for examples of how to correctly complete an answer grid.EXAMPLES– 1 4–\ \ \ \\ \ \ \0000000\\\\\\\1 \11 \1 \1 \1 \1 \\222222\\\\\\\ 23 \33 \3 \3 \3 \3 \\444444\\\\\\\ 45 \55 \5 \5 \5 \5 \\666666\\\\\\\ 67 \77 \7 \7 \7 \7 \\888888\\\\\\\ 89 \99 \9 \9 \9 \9 \\65 . 34 8 3 1 6–\ \ \ \\ \ \ \0 \00 \0 \0 \0 \0 \\1 \11 \1 \1 \1 \1 \\2 \22 \2 \2 \2 \2 \\3 \33 \3 \3 \3 \3 \\4 \44 \4 \4 \4 \4 \\5 \55 \5 \5 \5 \5 \\6 \66 \6 \6 \6 \6 \\7 \77 \7 \7 \7 \7 \\8 \88 \8 \8 \8 \8 \\9 \99 \9 \9 \9 \9 \\–\ \ \ \\ \ \ \0 \00 \0 \0 \0 \0 \\1 \11 \1 \1 \1 \1 \\2 \22 \2 \2 \2 \2 \\3 \33 \3 \3 \3 \3 \\4 \44 \4 \4 \4 \4 \\5 \55 \5 \5 \5 \5 \\6 \66 \6 \6 \6 \6 \\7 \77 \7 \7 \7 \7 \\8 \88 \8 \8 \8 \8 \\9 \99 \9 \9 \9 \9 \\39 . 5 5 5 5–\ \ \ \\ \ \ \0000000\\\\\\\1 \11 \1 \1 \1 \1 \\222222\\\\\\\ 23 \33 \3 \3 \3 \3 \\444444\\\\\\\ 45 \55 \5 \5 \5 \5 \\666666\\\\\\\ 67 \77 \7 \7 \7 \7 \\888888\\\\\\\ 89 \99 \9 \9 \9 \9 \\
Mathematics MA307603qOPSession 1AConsider this equation.x3 27Which of the following values of x makes the equation true?A3B9C13D194
Mathematics MA311403wOPSession 1XSusan wants to hire one of two mechanics to repair her car. Each mechaniccharges a one-time fee in addition to an hourly rate.Mechanic A charges a one-time fee plus 35 per hour. A repair made byMechanic A that takes 5 hours to complete will cost a total of 225.This table shows the total cost, including the one-time fee, for repairs madeby Mechanic B that take different numbers of hours to complete.Mechanic BTime(hours)Total Cost(dollars)18021203160420052406280How much more money, in dollars, does Mechanic A charge for the one-timefee than Mechanic B charges?Enter your answer in the answer boxes at the top of the answer grid andcompletely fill the matching circles.–\ \ \ \\ \ \ \0000000\\\\\\ \1 \11 \1 \1 \1 \1 \\2222222\\\\\\ \3333333\\\\\\ \4444444\\\\\\ \5555555\\\\\\ \6666666\\\\\\ \7777777\\\\\\ \8888888\\\\\\ \9999999\\\\\\ \5
Mathematics MA804155665 PAeOPSession 1DRectangle MNPQ is shown on this coordinate plane.1 unity7654321-7 -6 -5 -4 -3 -2 -1 0-1-2-3-4-5-6-71 unitQPMN1 2 3 4 5 6 7xWhich of the following transformations of rectangle MNPQ would create animage that is similar but not congruent to rectangle MNPQ ?Aa translation 4 units up and 2 units rightBa 90 clockwise rotation, followed by a reflection over the x-axisCa dilation by a scale factor of 1 with the center at the origin, followedby a translation 5 units leftDa reflection over the y-axis, followed by a dilation by a scale factorof 2 with the center at the origin6
Mathematics MA311422 OPrCWhat number multiplied by the expression 5 103 is equivalent to theexpression 5 106?A3B100C1,000D5,000MA800475061 PA OPtSession 1B, C, EWhich of the following equations are linear functions?Select the three linear functions.Ay x2 1By 2x 1Cy 1x 5Dy 3x2Ey x217
Mathematics MA307425yOPSession 1XConsider this system of equations.p 2np 5 1.5nWhat value of n makes the system of equations true?Enter your answer in the answer boxes at the top of the answer grid andcompletely fill the matching circles.–\ \ \ \\ \ \ \0 \00 \0 \0 \0 \0 \\1 \11 \1 \1 \1 \1 \\2 \22 \2 \2 \2 \2 \\3 \33 \3 \3 \3 \3 \\4 \44 \4 \4 \4 \4 \\5 \55 \5 \5 \5 \5 \\6 \66 \6 \6 \6 \6 \\7 \77 \7 \7 \7 \7 \\8 \88 \8 \8 \8 \8 \\9 \99 \9 \9 \9 \9 \\8
Mathematics MA304463uOPSession 1CConsider this number.4.083Which of the following statements about the number is true?AIt is an integer because the decimal repeats.BIt is a whole number because the decimal repeats.CIt is a rational number because the decimal repeats.DIt is an irrational number because the decimal repeats.9
Mathematics Session 1This question has four parts. Be sure to label each part of your response.MA704855478iOPXA. Consider this equation.x 4 16What is the solution to the equation? Show or explain how you got youranswer.B. Write a linear equation in one variable that has infinitely many solutions.Show the process of simplifying the equation to prove that it has infinitelymany solutions.C. Consider this equation.3(4 x) 7x 2(2x 3)How many solutions does the equation have? Show or explain how yougot your answer.D. Consider this equation.318 x 6 2 (4 x)How many solutions does the equation have? Show or explain how yougot your answer.10
Mathematics Session 1i11
Mathematics MA228379oOPSession 1XThis table represents a linear relationship between x and y.xy–21–1305172?What is the value of y when x 2?Enter your answer in the answer boxes at the top of the answer grid andcompletely fill the matching circles.–\ \ \ \\ \ \ \0000000\\\\\\ \1 \11 \1 \1 \1 \1 \\2222222\\\\\\ \3333333\\\\\\ \4444444\\\\\\ \5555555\\\\\\ \6666666\\\\\\ \7777777\\\\\\ \8888888\\\\\\ \9999999\\\\\\ \12
Mathematics MA283255aOPSession 1CThe lengths of three sides of a triangle are 3, π, andlengths in order from least to greatest?A3, π,B3,,πC, 3, πD, π, 313. Which list shows the
Grade 8 MathematicsSESSION 2This session contains 10 questions.You may use your reference sheet during this session.You may use a calculator during this session.DirectionsRead each question carefully and then answer it as well as you can. You must recordall answers in this Test & Answer Booklet.For some questions, you will mark your answers by filling in the circles in yourTest & Answer Booklet. Make sure you darken the circles completely. Do not makeany marks outside of the circles. If you need to change an answer, be sure to eraseyour first answer completely.For other questions, you will need to fill in an answer grid. Directions for completingquestions with answer grids are provided on the next page.If a question asks you to show or explain your work, you must do so to receive fullcredit. Write your response in the space provided. Only responses written within theprovided space will be scored.14
Mathematics Session 2Directions for Completing Questions with Answer Grids1.Work the question and find an answer.2.Enter your answer in the answer boxes at the top of the answer grid.3. Print only one number or symbol in each box. Do not leave a blank box inthe middle of an answer.4. Under each answer box, fill in the circle that matches the number orsymbol you wrote above. Make a solid mark that completely fills thecircle.5.Do not fill in a circle under an unused answer box.6. Fractions cannot be entered into an answer grid and will not be scored.Enter fractions as decimals.7. If you need to change an answer, be sure to erase your first answercompletely.8.See below for examples of how to correctly complete an answer grid.EXAMPLES– 1 4–\ \ \ \\ \ \ \0000000\\\\\\\1 \11 \1 \1 \1 \1 \\222222\\\\\\\ 23 \33 \3 \3 \3 \3 \\444444\\\\\\\ 45 \55 \5 \5 \5 \5 \\666666\\\\\\\ 67 \77 \7 \7 \7 \7 \\888888\\\\\\\ 89 \99 \9 \9 \9 \9 \\65 . 34 8 3 1 6–\ \ \ \\ \ \ \0 \00 \0 \0 \0 \0 \\1 \11 \1 \1 \1 \1 \\2 \22 \2 \2 \2 \2 \\3 \33 \3 \3 \3 \3 \\4 \44 \4 \4 \4 \4 \\5 \55 \5 \5 \5 \5 \\6 \66 \6 \6 \6 \6 \\7 \77 \7 \7 \7 \7 \\8 \88 \8 \8 \8 \8 \\9 \99 \9 \9 \9 \9 \\–\ \ \ \\ \ \ \0 \00 \0 \0 \0 \0 \\1 \11 \1 \1 \1 \1 \\2 \22 \2 \2 \2 \2 \\3 \33 \3 \3 \3 \3 \\4 \44 \4 \4 \4 \4 \\5 \55 \5 \5 \5 \5 \\6 \66 \6 \6 \6 \6 \\7 \77 \7 \7 \7 \7 \\8 \88 \8 \8 \8 \8 \\9 \99 \9 \9 \9 \9 \\159 . 5 5 5 5–\ \ \ \\ \ \ \0000000\\\\\\\1 \11 \1 \1 \1 \1 \\222222\\\\\\\ 23 \33 \3 \3 \3 \3 \\444444\\\\\\\ 45 \55 \5 \5 \5 \5 \\666666\\\\\\\ 67 \77 \7 \7 \7 \7 \\888888\\\\\\\ 89 \99 \9 \9 \9 \9 \\
Mathematics MA800475590 OPsSession 2DWhich of the following graphs represents an increasing linear function?AyB843217654321-6 -5 -4 -3 -2 -1 0-1-2-3-4C1 2 3 4 5 6-6 -5 -4 -3 -2 -1 0-1-2-3-4-5-6-7-8xyD654321-6 -5 -4 -3 -2 -1 0-1-2-3-4-5-6y1 2 3 4 5 6xy6543211 2 3 4 5 6x16-6 -5 -4 -3 -2 -1 0-1-2-3-4-5-61 2 3 4 5 6x
Mathematics MA804543815 PAdOPSession 2CA ladder is placed against the outside wall of a building, as shown.BuildingHeightLadder 12 ft.7.2 ft.Which of the following equations shows the relationship between the heightof the building, the length of the ladder, and the distance between thebuilding and the bottom of the ladder?A4.82 7.22 122B4.82 9.62 15.42C7.22 9.62 122D7.22 122 15.4217
Mathematics fSession 2Line segment UV is shown on this coordinate plane.yUV7654321-7 -6 -5 -4 -3 -2 -1 0-1-2-3-4-5-6-71 2 3 4 5 6 7xPoint W, not shown, lies on line segment UV. The coordinates (x, y) representpoint W.Line segment UV will be reflected over the y-axis. After the reflection, whatwill be the coordinates of the image of point W ?A( y, x)B(y, x)C(x, y)D( x, y)MA800744715 PAgOPBA line passes through the point (2, 10) and has a y-intercept of 4.Which of the following equations represents the line?Ay 2x 4By 3x 4Cy 4x 3Dy 5x 318
Mathematics MA800754030 PABPens cost 1.50 each at a school store. Which graph represents y, the cost,in dollars, of purchasing x pens at the store?ACost of Pens0C1 2 3 4 5 6 7 8 9Number of PensyxCost of Pens9876543210yCost (dollars)987654321BD1 2 3 4 5 6 7 8 9Number of Pensx1 2 3 4 5 6 7 8 9Number of PensyxCost of Pens987654321019Cost of Pens9876543210Cost (dollars)Cost (dollars)yCost (dollars)hOPSession 21 2 3 4 5 6 7 8 9Number of Pensx
Mathematics MA804535094 PAjOPSession 2A, C, FParallel lines q and r are intersected by transversal line c, as shown in thisdiagram.cFG?73 Jq?40 V?PTrBased on the diagram, what are the measures of angles FGV, JGP, and GPT ?Select the three correct answers.AThe measure of angle FGV 67 .BThe measure of angle FGV 73 .CThe measure of angle JGP 40 .DThe measure of angle JGP 73 .EThe measure of angle GPT 107 .FThe measure of angle GPT 140 .20
Mathematics Session 2This question has three parts. Be sure to label each part of your response.MA311437kOPXParallelogram EFGH was transformed to create its image, parallelogramE′F′G′H′, as shown on this coordinate plane.y987FE654321–9 –8 –7 –6 –5 –4 –3 –2 –1 0–1E’HF’GH’G’1 2 3 4 5 6 7 8 9x–2–3–4–5–6–7–8–9A. Describe the transformation that was performed on parallelogram EFGH tocreate parallelogram E′F′G′H′. Show or explain how you got your answer.B. Is parallelogram EFGH congruent to parallelogram E′F′G′H′? Explain yourreasoning.C. Parallelogram E′F′G′H′ will be reflected over the x-axis to create its image,parallelogram E″F″G″H″.Will parallelogram E″F″G″H″ be congruent to parallelogram EFGH?Explain your reasoning.Write your answers on the next page.21
Mathematics Session 2k22
Mathematics Session 2This question has two parts.MA800675775 PAlOPB, XPart AConsider these graphs.Graph 1Graph 2654321654321y-2 -1 0-1-2-3-41 2 3 4yx-2 -1 0-1-2-3-41 2 3 4Graph 3Graph 4654321654321y-2 -1 0-1-2-3-41 2 3 4xyx-2 -1 0-1-2-3-41 2 3 4xWhich statement about the graphs is true?AOnly Graph 1 and Graph 2 represent y as a function of x.BOnly Graph 1 and Graph 4 represent y as a function of x.COnly Graph 2 and Graph 4 represent y as a function of x.DOnly Graph 3 and Graph 4 represent y as a function of x.23
Mathematics Session 2Part BThe relationship between the x and y values in this table is not a function.One of the values of x is missing from the table, as shown.x712?y–6–18What is one value of x that could replace the missing value in the table toshow that y is not a function of x ?Enter your answer in the answer boxes at the top of the answer grid andcompletely fill the matching circles.–\ \ \ \\ \ \ \0000000\\\\\\ \1 \11 \1 \1 \1 \1 \\2222222\\\\\\ \3333333\\\\\\ \4444444\\\\\\ \5555555\\\\\\ \6666666\\\\\\ \7777777\\\\\\ \8888888\\\\\\ \9999999\\\\\\ \24
Mathematics MA287597;OPSession 2BA candle is in the shape of a cylinder. The candle has a diameter of 6 inchesand a height of 5 inches.What is the volume of the candle? (Use 3.14 for π.)A94.2 cubic inchesB141.3 cubic inchesC150.7 cubic inchesD188.4 cubic inches25
Mathematics MA800475640CThis scatter plot shows the total amount of money in a bank account at theend of each week for a period of 12 weeks.Money in Bank AccountMoney (dollars)2)OPSession 2400300200100012345678910 11 12WeeksWhich of the following statements is true about the scatter plot?AThe scatter plot shows one outlier.BThe scatter plot shows clustered data.CThe scatter plot shows a positive linear association.DThe scatter plot shows a negative linear association.26
Massachusetts Comprehensive Assessment SystemGrade 8 Mathematics Reference SheetCONVERSIONS1 cup 8 fluid ounces1 inch 2.54 centimeters1 pound 16 ounces1 pint 2 cups1 meter1 pound1 quart 2 pints1 mile 5280 feet1 kilogram1 gallon 4 quarts1 mile 1760 yards1 ton 2000 pounds1 gallon1 mile1 liter3.785 liters0.264 gallon39.37 inches0.454 kilogram2.2 pounds1.609 kilometers1 kilometer0.62 mile1 liter 1000 cubic centimetersAREA (A) FORMULASVOLUME (V) FORMULASsquare . . . . . . . . . . . A s 2cube . . . . . . . . . . . . . . . . . V s 3(s length of an edge)rectangle . . . . . . . . . A bhORA lwparallelogram . . . . . . A bhtriangle . . . . . . . . . . A 1 bh2trapezoid . . . . . . . . . A 1 h(b12sphere . . . . . . . . . . . . . . . V 43r3cone . . . . . . . . . . . . . . . . . V 13r 2hright circular cylinder . . . . . V r2hright prism . . . . . . . . . . . . V Bh b2)circle . . . . . . . . . . . . A r 2PYTHAGOREAN THEOREMCIRCLE FORMULASaarea. . . . . . . . . . . . . A cr2bcircumference . . . . . . C 2 rORC d27a2 b2 c2
Grade 8 MathematicsSpring 2021 Released Operational mType*14The Number System andExpressions and .G.A.4SR47The Number System andExpressions and 3The Number System andExpressions and try8.G.B.7SR1318Geometry8.G.A.3SR1418The Number System andExpressions and Equations8.EE.B.6SR1519The Number System andExpressions and 8.G.C.9SR2026Statistics and Probability8.SP.A.1SRThe Number System andExpressions and EquationsThe Number System andExpressions and EquationsThe Number System andExpressions and EquationsItem DescriptionDetermine the cube root of a given number.Compare the initial values of two linear functions,one defined in text and the other in a table.Determine which transformations of a figure resultin a figure that is similar but not congruent.Given two numbers, each expressed as a single digitmultiplied by an integer power of 10, determine bywhat value one of the numbers must be multiplied toobtain the other.Determine whether given equations are linear ornonlinear functions.Determine one of the values of the solution to a pairof linear equations.Determine whether a number is rational or irrational.Solve linear equations in one variable and create alinear equation, given the number of solutions.Find the missing y-value in a table containing(x, y) values that represent the relationship in a linearfunction.Determine which list orders rational and irrationalnumbers from least to greatest.Determine which graph represents an increasinglinear function.Choose which equation shows the relationshipbetween the side lengths of a right triangle in areal-world context.Determine the coordinates of the image of a pointon a line segment after the line segment has beenreflected over the y-axis.Determine which equation represents a line, given apoint on the line and its y-intercept.Determine which graph represents a givenproportional relationship based on a real-worldcontext.Determine the measures of three angles shown in adiagram consisting of parallel lines intersected by atransversal.Describe the transformation on a quadrilateralthat produced a given image and demonstrate anunderstanding of the preservation of congruence.Determine which graphs represent functions, andfind the missing x-value in a table of (x, y) valuesthat would show that y is not a function of x.Determine the volume of a cylinder in a real-worldcontext.Determine which statement is true about ascatterplot's pattern of ,FB;7 or 12BC* Mathematics item types are: selected-response (SR), short-answer (SA), and constructed-response (CR).** Answers are provided here for selected-response and short-answer items only. Sample responses and scoring guidelines for any constructedresponse items will be posted to the Department’s website later this year.28
Grade 8 MathematicsSpring 2021 Unreleased Operational 1The Number System andExpressions and Equations8.NS.A.1SRDetermine the decimal equivalent of a rational number expressed as afraction.22Functions8.F.B.4CRUse the linear relationship represented in a table to determine they-intercept and slope; to write the equation of the line; and to determinewhether a given point falls on the line.23The Number System andExpressions and Equations8.NS.A.2SRIdentify a point on a number line that corresponds to the approximatelocation of an irrational number.24Functions8.F.B.5SRDetermine which graph represents a linear function that has the samey-intercept as y x and passes through a given point.25The Number System andExpressions and Equations8.NS.A.2SRDetermine between which pair of integers the square root of a givennumber lies.26The Number System andExpressions and Equations8.EE.A.4SRSolve a real-world problem by performing operations with numbersexpressed in both scientific and decimal notation.27Geometry8.G.A.1SRChoose the graph that shows the image of a triangle after a reflection anddetermine which statements about the sides, angles, areas, and perimetersof the triangle and its image are true.28The Number System andExpressions and Equations8.EE.C.8SRDetermine the number of solutions to a system of equations.29The Number System andExpressions and Equations8.EE.A.1SRApply the properties of integer exponents to identify an equivalentexpression.30The Number System andExpressions and Equations8.EE.B.6SRDetermine the equation of a line graphed on a coordinate plane.31The Number System andExpressions and Equations8.EE.C.8SACreate two linear equations, each involving the same two variables, tosolve a real-world problem.32Geometry8.G.A.2SRDetermine which transformation of a triangle will result in an image thatis not congruent to the triangle.33Statistics and Probability8.SP.A.4CRComplete a two-way table, summarize real-world data on two categoricalvariables, and then compare an additional two-way table to the completedtable.34Geometry8.G.B.8SRUse the Pythagorean Theorem to determine which equation represents thelength of a line segment that is graphed on a coordinate plane.35The Number System andExpressions and Equations8.EE.B.5SRDetermine which equation represents a proportional relationship in a realworld context.36The Number System andExpressions and Equations8.EE.C.7SRDetermine the number of solutions for two different one-variableequations.37Geometry8.G.A.2SRDetermine which sequence of transformations of a quadrilateral results ina given image.38Geometry8.G.B.7SRUse the Pythagorean theorem to find the missing side length of a trianglein a mathematical problem.39The Number System andExpressions and Equations8.EE.B.5SRDetermine which graph represents a proportional relationship in a realworld context.40Geometry8.G.A.1SRDetermine which graph shows a line segment and its image after areflection over the x-axis.Item Description* Mathematics item types are: selected-response (SR), short-answer (SA), and constructed-response (CR).29
Each mechanic charges a one-time fee in addition to an hourly rate. Mechanic A charges a one-time fee plus 35 per hour. A repair made by Mechanic A that takes 5 hours to complete will cost a total of 225. This table shows the total cost, including the one-time fee, for repairs made by Mechanic
