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--------------------------------STAARSTAAR GRADE 8 MATHEMATICSREFERENCE MATERIALS State of TexasAssessments ofAcademic ReadinessLINEAR EQUATIONSSlope-intercept formy mx bDirect variationy kxSlope of a linem y2 y1x2 x1CIRCUMFERENCECircleC 2π rorC πdAREATriangleA 1 bh2Rectangle or parallelogramA bhTrapezoidA 1 (b1 b2)h2CircleA πr 2SURFACE AREALateralTotalPrismS PhS Ph 2BCylinderS 2π rhS 2π rh 2π r 2VOLUMEPrism or cylinderV BhPyramid or coneV 1 Bh3SphereV 4 πr 33ADDITIONAL INFORMATIONPythagorean theorema2 b 2 c 2Simple interestI P rtCompound interestA P (1 r)t

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MATHEMATICSMathematicsPage 7

DIRECTIONSRead each question carefully. For a multiple-choice question, determine thebest answer to the question from the four answer choices provided. For agriddable question, determine the best answer to the question. Then fill in theanswer on your answer document.1 Four students are each trying to raise the same amount of money for a class trip. The tablebelow shows how much of each student’s goal has been met.Fund-Raiser ProgressStudentPart ofGoal MetChelsea0.7DevonHuangMarcela235865%Which list shows the numbers in the table in order from least to greatest?A 0.7, 65%,B 0.7,5 2,8 352, 65%,83C52, 65%, , 0.783D5 2, , 65%, 0.78 3MathematicsPage 8

2 Which graph shows a proportional relationship between x and y?yy987654321F–9 –8 –7 –6 –5 –4 –3 –2 –1–1–2–3–4–5–6–7–8–91 2 3 4 5 6 7 8 9xH–9 –8 –7 –6 –5 –4 –3 –2 –1–1–2–3–4–5–6–7–8–9y–9 –8 –7 –6 –5 –4 –3 –2 sPage 91 2 3 4 5 6 7 8 9x1 2 3 4 5 6 7 8 9xy987654321G9876543211 2 3 4 5 6 7 8 9xJ987654321–9 –8 –7 –6 –5 –4 –3 –2 –1–1–2–3–4–5–6–7–8–9

3 Point M is located at (4, 6) on a coordinate grid. Point M is translated 8 units to the left and9 units down to create point M′ .y987654321 9 8 7 6 5 4 3 2 1 1123456789x 2 3 4 5 6 7 8 9Which measurement is closest to the distance between point M and point M′ in units?A4 unitsB17 unitsC9 unitsD 12 units4 Tamara invested 15,000 in an account that pays 4% annual simple interest. Tamara will notmake any additional deposits or withdrawals. How much interest will Tamara earn on herinvestment at the end of 3 years?F 1,800G 600H 450J 1,873MathematicsPage 10

5 An aquarium is being filled with water. The graph shows the height of the water over time asthe aquarium is being filled.AquariumyHeight (inches)20151050123456789xTime (seconds)Which statement best describes the rate of change for this situation?AThe height of the water increases 20 inches per second.BThe height of the water increases 1 inch per second.CThe height of the water increases 5 inches per second.D The height of the water increases 2.5 inches per second.MathematicsPage 11

6 In the diagram a person who is 6 ft tall is standing on the ground 3 ft away from point P. Aline segment drawn from the top corner of the building to point P creates two similartriangles.h6 ftP3 ft18 ftNot drawn to scaleWhich proportion can be used to find h, the height of the building in feet?F318 h6G6h 318H3h 156J618 3hMathematicsPage 12

7 Carnival M charges an entrance fee of 5.00 and 0.65 per ticket for the rides. Carnival Pcharges an entrance fee of 10.00 and 0.45 per ticket for the rides. How many tickets mustbe purchased in order for the total cost at Carnival M and Carnival P to be the same?A25B10C50D 758 The coordinate grid shows parallelogram PQRS.yQ98R765P43S21 9 8 7 6 5 4 3 2 1 1123456789x 2 3 4 5 6 7 8 9Parallelogram PQRS is rotated 90 clockwise about the origin to create parallelogram P ′Q′R′S ′.Which rule describes this transformation?F(x, y) o (x, y) x, y)G (x, y) o ( H (x, y) o (y, x)J(x, y) o (y, x)MathematicsPage 13

9 The value of y varies directly with x. When y 75, x 1x is 2 ?4A 8438B 337C 161. What is the value of y when21223D 1683410 A triangular prism and its dimensions are shown in the diagram.5 cm5 cm8 cm6 cmWhat is the lateral surface area of this triangular prism in square centimeters?F192 cm2G 128 cm2H 152 cm2J144 cm2MathematicsPage 14

11 Julie made 25 international long-distance phone calls to London last month. The scatterplotbelow shows the length and cost of each phone call she made.Cost of Call (dollars)yCost of InternationalLong-Distance Phone Calls432106121824xLength of Call (minutes)Which conclusion is best supported by the scatterplot?AAs the length of a call increases, the cost of the call increases.BAs the length of a call increases, the cost of the call remains the same.CAs the length of a call increases, the cost of the call decreases.D There is no relationship between the length of a call and the cost of a call.MathematicsPage 15

12 What are the slope and the y-intercept of the graph of the linear function shown on the grid?y9876543( 6, 0)21 9 8 7 6 5 4 3 2 1 1123456789x 2 3 4(2, 2) 5 6 7 8 9FSlope 4, y-intercept 6G Slope 4, y-intercept 1.51H Slope , y-intercept 1.54JSlope 1, y-intercept 6413 A preschool has a rectangular field and a rectangular playground that are similar in shape.Each dimension of the field is 3.2 times the corresponding dimension of the playground.Which statement is true?AThe area of the field is 6.4 times the area of the playground.BThe area of the field is 10.24 times the area of the playground.CThe perimeter of the field is 6.4 times the perimeter of the playground.D The perimeter of the field is 10.24 times the perimeter of the playground.MathematicsPage 16

14 Which function is best represented by this graph?y987654321 9 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9Fy 1x 62G y 2x 3H y 2x 6Jy MathematicsPage 171x 32123456789x

15 The set designer for a play painted some background scenery on a large piece of plywood. Heused a 13-foot-long pole to hold the piece of plywood upright, as shown in the diagram below.2 fth13 ft5 ftWhat is h, the total height in feet of the piece of plywood?Record your answer and fill in the bubbles on your answer document. Be sure to use thecorrect place value.MathematicsPage 18

16 Which table contains only corresponding x-values and y-values where the value of y is 3 morethan the quotient of x and 2?x7F6.5148.5x7MathematicsPage 1014411.5175.5

17 A ball shaped like a sphere has a radius of 2.7 centimeters. Which measurement is closest tothe volume of the ball in cubic centimeters?A46.38 cm3B33.93 cm3C122.15 cm3D 82.45 cm318 Alejandra and her family are discussing how to pay for her college education. The cost oftuition at the college that Alejandra wants to attend is 9,000 per year. Alejandra’s parentswill pay 85% of the tuition cost every year, and she will pay the rest. Alejandra has one yearto save enough money to attend her first year of college. What is the minimum amount ofmoney she should save every month in order to reach her goal?F 637.50G 1,350.00H 112.50J 28.12MathematicsPage 20

19 The coordinates of the vertices of a quadrilateral are P (1, 2), R (1, 4), S (3, 4), and T (4, 2).y987654321 9 8 7 6 5 4 3 2 1 1123456789x 2 3 4 5 6 7 8 9Quadrilateral PRST is reflected across the y-axis to create quadrilateral PĻRĻSĻTĻ. Which ruledescribes this transformation?A (x, y) o (x, y) x, y)B (x, y) o ( C (x, y) o (y, x) y, x)D (x, y) o ( 20 Which situation represents a proportional relationship?FThe cost of purchasing a basket of oranges for 1.30 per pound plus 5.00 for the basketG The cost of purchasing peaches for 7.00 per box of peaches with a delivery charge of 3.00H The cost of purchasing grapefruit for 1.80 per pound with a coupon for 1.00 off the totalcostJThe cost of purchasing apples for 1.75 per pound plus a shipping fee of 0.16 per poundMathematicsPage 21

21 Jamie used a microscope to measure the diameter of a hair. She found that the diameter ofthe hair was 0.000072 meter. How is this number written in scientific notation?A 7.2 10 5B 7.2 106C7.2 105D 7.2 10 622 Triangles PQR and RST are similar right triangles.y98P7654Q3R21 9 8 7 6 5 4 3 2 1 1123456789x 2 3 4S 5 6T 7 8 9Which proportion can be used to show that the slope of PR is equal to the slope of RT ?F3 7 5 3 4 ( 7)2 ( 4)G3 ( 4) 5 2 7 ( 7)3 ( 4)H 4 ( 7)2 ( 4) 3 7 5 3J 4 ( 3)2 ( 5) 7 7 4 3MathematicsPage 22

23 The scatterplot shows the average number of hours each of 13 people spends at work everyweek and the average number of hours each of them spends on recreational activities everyweek.Recreational Activities (hours)yWorking and Relaxing403530252015105010 20 30 40 50 60 70 80 90xWork (hours)Based on the scatterplot, what is the best prediction of the average number of hours a personspends at work every week if that person spends an average of 10 hours on recreationalactivities every week?A33 hB85 hC50 hD 65 hMathematicsPage 23

24 Four triangles are shown.70 40 50 130 140 40 70 45 35 120 25 155 Based on these triangles, which statement is true?Fw 75 , because 45 60 105 and 180 105 75G w 105 , because 180 (45 60) 75 and 180 75 105H w 285 , because 45 60 105 and 105 180 285Jw 165 , because 180 60 120 and 120 45 16525 Which set of ordered pairs represents y as a function of x?A (2, 1), (4, 2), (6, 3), (8, 4) B (0, 0), (1, 1), (1, 0), (2, 1) C (3, 3), (3, 4), (4, 3), (4, 4) D (1, 5), (1, 5), (2, 10), (2, 15) MathematicsPage 24w z 60

26 Circle I was dilated with the origin as the center of dilation to create Circle II.y9Circle II87654Circle I321 9 8 7 6 5 4 3 2 1 1123456789x 2 3 4 5 6 7 8 9Which rule best represents the dilation applied to Circle I to create Circle II?(x, y ) o (33x, y)88G (x, y ) o (88x, y)33FH (x, y ) o (x 5, y 5)J(x, y ) o (x 5, y 5)MathematicsPage 25

27 The manager of a restaurant recorded how many people were in different groups ofcustomers and how much those groups spent on food and beverages. The scatterplot belowshows the data she recorded.Food and Beveragesy140Total Spent(dollars)120100806040200246810xNumber of PeopleBased on this scatterplot, about how much money would a group of 10 people be expected tospend on food and beverages at this restaurant?A 135B 115C 105D 150MathematicsPage 26

28 Which statement describes the mapping?xy 11023F47The mapping represents y as a function of x, because each y-value corresponds to exactlyone x-value.G The mapping does not represent y as a function of x, because two of the x-valuescorrespond to the same y-value.H The mapping represents y as a function of x, because each x-value corresponds to exactlyone y-value.JThe mapping does not represent y as a function of x, because there are more x-valuesthan different corresponding y-values.MathematicsPage 27

29 A cylinder and its dimensions are shown below.12.1 cm3.8 cmOne equation for calculating the volume of a cylinder is V Bh , where B represents the areaof the base of the cylinder. Which expression can be used to find the value of B, in squarecentimeters, for this cylinder?AS(12.1)2B 2 S(12.1)CS(3.8)2D None of theseMathematicsPage 28

30 Three groups of students used different methods to estimate the diagonal length of a patio infeet. Their results were: 4 13 ft 14 14.33 ft2ft5Which list shows these diagonal lengths in order from greatest to least?F214.33, 14 , 4 135G 14.33, 4 13 , 14252H 14 , 14.33, 4 135J24 13 , 14 , 14.335MathematicsPage 29

31 The model represents an equation. x x x1111111111 xxxxx 1 1 1 1 1 1 1 1What value of x makes the equation true?Record your answer and fill in the bubbles on your answer document. Be sure to use thecorrect place value.MathematicsPage 30

32 The diagram below shows the side view of a ramp used to help load and unload a moving van.Ramp3 ft9 ftWhich measurement is closest to the length of the ramp in feet?F8.5 ftG 10.5 ftH 9.5 ftJ13.5 ft33 Which representation of a transformation on a coordinate grid does not preserve congruence?A (x, y) o (11x, y)77B (x, y) o (x 7, y 7)C (x, y) o (x, y)D (x, y) o (y, x)MathematicsPage 31

34 A tree in Dante’s neighborhood grew 18 inches in the first 2 years after it was planted. If thetree continues to grow at this same rate, which graph best represents the growth rate of thetree in inches per year?Tree Growthy9081726354453627189H01 2 3 4 5 6 7 8 9 10Growth (in.)FGrowth (in.)yx908172635445362718901 2 3 4 5 6 7 8 9 10YearTree GrowthJ1 2 3 4 5 6 7 8 9 10YearMathematicsPage 32y90817263544536271890xYearxGrowth (in.)GGrowth (in.)yTree GrowthTree Growth908172635445362718901 2 3 4 5 6 7 8 9 10Yearx

35 An artist joined three square regions at their vertices to create the figure shown in thediagram.Region YRegion XRegion ZThe artist will use small congruent square tiles to cover each region without any gaps oroverlaps. Based on the information, which statement is true?AThe number of tiles needed to cover Region X is the same as the number of tiles neededto cover both Region Y and Region Z.BThe number of tiles needed to cover Region Y is the same as the number of tiles needed tocover both Region X and Region Z.CThe number of tiles needed to cover Region Z is the same as the number of tiles neededto cover both Region X and Region Y.D None of theseMathematicsPage 33

36 Mr. Leonard is renting a car for one day. The table below shows the total amount he will becharged for the car based on the number of miles he drives.Car RentalNumber ofMiles, mTotal AmountCharged, c5 30.5010 31.0015 31.5020 32.00Which equation best represents c, the number of dollars Mr. Leonard should be charged fordriving m miles?Fc 0.10m 30G c 30m 0.10H c 0.50m 30Jc 30m 0.50MathematicsPage 34

37 Which list shows the numbers below in order from least to greatest?5.78, 5.9, 58%, 23423, 5.78, 58%4A 5.9, B C 5.9, 23, 58%, 5.784D 58%, 23, 5.78, 5.9423, 5.9, 58%, 5.78438 A storage container for oil is in the shape of a cylinder with a diameter of 10 ft and a height of17 ft. Which measurement is closest to the volume of the storage container in cubic feet?F534 ft3G 1,335 ft3H 691 ft3J1,696 ft3MathematicsPage 35

39 The graph of a linear function is shown on the coordinate grid.y1098( 4, 6)7654321 10 9 8 7 6 5 4 3 2 1 1123456789 10x 2 3 4 5 6 7 8 9(1, 9) 10What is the y-intercept of the graph of the linear function?Record your answer and fill in the bubbles on your answer document. Be sure to use thecorrect place value.MathematicsPage 36

40 Triangle ABC was translated 2 units to the right and 3 units down. Which rule describes thetranslation that was applied to triangle ABC to create triangle A′B′C ′?F(x, y) o (x 3, y 2)G (x, y) o (x 2, y 3)H (x, y) o (2x, 3y )J(x, y) o ( 3x, 2y)41 Nicolas has 650 to deposit into two different savings accounts. Nicolas will deposit 400 into Account I, which earns 3.5% annual simple interest. 1He will deposit 250 into Account II, which earns 3 % interest compounded annually.4Nicolas will not make any additional deposits or withdrawals. Which amount is closest to thetotal balance of these two accounts at the end of 2 years?A 672.13B 695.00C 694.25D 694.51MathematicsPage 37

42 On a field trip, there are 3 adults for every 45 students. Which graph models a relationshipwith the same unit rate?yFy10987654321H3006090120 150x109876543210yGMathematicsPage 386090120 150306090120 150xy10987654321030J306090120 150x109876543210x

43 Pentagon ABCDE is rotated 180 clockwise about the origin to form pentagon A′B′C ′D′E ′.y987A654EB321 9 8 7 6 5 4 3 2 1 1D1C23456789x 2 3 4 5 6 7 8 9Which statement is true?APentagon ABCDE is congruent to pentagon A′B′C ′D′E ′.BThe sum of the angle measures of pentagon A′B′C ′D′E ′ is 180 more than the sum of theangle measures of pentagon ABCDE.CEach side length of pentagon A′B′C ′D′E ′ is 2 times the corresponding side length ofpentagon ABCDE.1D Each side length of pentagon A′B′C ′D′E ′ isthe corresponding side length of pentagon2ABCDE.44 The measures of two angles are (5x 24) and (9x 17) . What is the value of x if theseangles are congruent?F1.75G 13.2H 0.5J10.25MathematicsPage 39

45 A rectangular prism and its dimensions are shown in the diagram.2 in.3.4 in.8.2 in.What is the total surface area of this rectangular prism in square inches?Record your answer and fill in the bubbles on your answer document. Be sure to use thecorrect place value.MathematicsPage 40

46 The scatterplot shows the number of hours that 12 people spent learning to type on akeyboard and each person’s average typing speed.yTyping Speed Data100Average Typing Speed(words per minute)908070605040302010010 20 30 40 50xNumber of Hours of LearningBased on the scatterplot, what is the best prediction of a person’s average typing speed inwords per minute (wpm) if the person has spent 70 hours learning to type?F100 wpmG 55 wpmH 85 wpmJ70 wpmMathematicsPage 41

47 Carolyn will buy the same number of stamps every month to add to a stamp collection hergrandfather gave her. The table shows the number of stamps Carolyn will have at the end ofx months.Carolyn’s Stamp CollectionNumber of Months, x13610Number of Stamps, y250350500700How many stamps was Carolyn given, and how many stamps will she buy every month?ACarolyn was given 200 stamps, and she will buy 50 stamps every month.BCarolyn was given 180 stamps, and she will buy 70 stamps every month.CCarolyn was given 180 stamps, and she will buy 50 stamps every month.D Carolyn was given 200 stamps, and she will buy 70 stamps every month.48 Which point on the number line best represents the location of 92 ?M N8FPoint MG Point NH Point PJPoint QMathematicsPage 429PQ10

49 The list shows the number of songs that five students each downloaded last week.32, 43, 38, 28, 51What is the mean absolute deviation of the numbers in the list?A34.4B6.88C38.4D 7.6850 The graph models the linear relationship between the charge for a trip and the number ofmiles driven for two taxis.Taxi ChargesyCharge (dollars)30Taxi 125Taxi 220151050123456789xDistance (miles driven)Based on the graph, which statement appears to be true?FThe charge for a trip with a distance of 5 miles is 5 greater for Taxi 1 than for Taxi 2.G The charge for a trip with a distance of 5 miles is 5 less for Taxi 1 than for Taxi 2.H The charge for a trip with a distance of 5 miles is 20 for both Taxi 1 and Taxi 2.JThe charge for a trip with a distance of 5 miles cannot be determined for either Taxi 1 orTaxi 2.MathematicsPage 43

51 Figure S, the small arrow, was dilated with the origin as the center of dilation to createFigure T, the large arrow.y987Figure T6543Figure S21 9 8 7 6 5 4 3 2 1 1123456789x 2 3 4 5 6 7 8 9Which rule best represents the dilation that was applied to Figure S to create Figure T?A (x, y ) o (2 x, 2 y )B (x, y ) o (4 x, 4 y )C (x, y ) o (11x, y)22D (x, y ) o (11x, y)4452 Veronica is ordering trophies for her school. Company P charges 3.50 for each trophy and aone-time engraving fee of 25. Company R charges 7.50 for each trophy and a one-timeengraving fee of 17. Which inequality can be used to find x, the minimum number oftrophies that can be ordered so that the total charge at Company P is less than the totalcharge at Company R?F3.5 25 x 7.5 17xG 3.5 25 x 7.5 17xH 3.5 x 25 7.5 x 17J3.5 x 25 7.5 x 17MathematicsPage 44

53 Which scatterplot suggests a linear relationship between x and y?yAy87654321C01 2 3 4 5 6 7 8x876543210yBxy8765432101 2 3 4 5 6 7 8D1 2 3 4 5 6 7 8x8765432101 2 3 4 5 6 7 8x54 Frankie bought a new computer. He made an initial payment of 50 to the store, and he willpay 30 each month until the computer is paid off. Which equation represents the relationshipbetween m, the number of monthly payments Frankie has made, and t, the total amount thatFrankie has paid the store?Ft 50m 30G t 30m 50H t 50m 30Jt 30m 50MathematicsPage 45

55 A party hat is shaped like a cone. The dimensions of the party hat are shown in the diagram.9 in.6 in.Which measurement is closest to the volume of the party hat in cubic inches?A 84.82 in.3B 339.29 in.3C254.47 in.3D 1,017.88 in.3MathematicsPage 46

56 Which graph represents y as a function of x?yFyxHyGMathematicsPage 47xyxJBE SURE YOU HAVE RECORDED ALL OF YOUR ANSWERSON THE ANSWER DOCUMENT.xSTOP