EQAO Open Response Rubric

Transcription

1 EQAO Open Response Rubric. irrelevant content: does not attempt assigned question (e.g., comment on the task, drawings,?,!,. off topic: no relationship of written work to the question I don t know ). illegible: cannot be read; completely crossed ouflerased; not written in English 4 2 o a thorough understanding of the concepts o an accurate application of the procedures (any minor errors and/or omissions do not detract o identification of all important elements of the problem o a thorough understanding of the relationships between all of the important elements of the o appropriate conclusions with thorough and insightful supporting evidence from the demonstration of a thorough understanding) problem o a complete solution process application of knowledge and skills shows a high degree of effectiveness due to problem-solving process shows a high degree of effectiveness due to demonstration of thorough understanding of concepts and/or procedures demonstration of considerable understanding of concepts and/or procedures application of knowledge and skills shows considerable effectiveness due to problem-solving process shows considerable effectiveness due to o an understanding of most of the concepts o minor errors and/or omissions in the application of the procedures o o identification ofmost of the important elements of the problem o a considerable understanding of the relationships between important elements of the problem o appropriate conclusions with supporting evidence a solution process that is nearly complete o an incomplete solution process problem-solving process shows some effectiveness due to o partial understanding of the concepts o errors and/or omissions in the application of the procedures o identification of some of the important elements of the problem o some understanding of the relationships between important elements of the problem o simple conclusions with little supporting evidence. demonstration of some understanding of concepts and/or procedures. application of knowledge and skills shows some effectiveness due to o too much emphasis on unimportant elements of the problem o conclusion presented without supporting evidence o misunderstanding of concepts o incorrect selection or misuse of procedures o minimal evidence of a solution process o limited identification of important elements of the problem o no conclusions presented. application of knowledge and skills shows limited effectiveness due to. demonstration of limited understanding of concepts and/or procedures. problem-solving process shows limited effectiveness due to. blank: nothing written or drawn in response to the question Level Descriptor

2 b $1645 d $245 What is the value of the expression? 1 6( 2) + ( 1) 5 expression 1 days in March is given by the restaurant. rental car. d 51 1 buying lunch from the menu below. sandwiches sandwich Hamburger Juice Green Salad Turkey Tea/offee $1.95 $2.25 $4.65 $5.15 $.45 $1.5 $1.75 $.99 Ham & heese Tomato Soup Soups and Salads 1. The average temperature during 2. With $12., Sam and a friend are c $225 a $162 room and rental car? left over after they have paid for their hotel How much of their combined tips will be and Jody will pay a total of$ 16 for their will pay a total of $22 for their hotel room They are planning a weekend trip. Aifredo tips for each of the 6 tables she served. served. Jody received an average of $2 in $15 in tips for each of the 55 tables he Last week Aifredo received an average of fl Aifredo and his wife, Jody, work in a b 27 a 21. If x =, what is the value of 2.z + 5x? d 2 b 1 a 2 LUnit 1: EQAO Questjon] sandwich and one ham and cheese d one soft drink, one tea, one turkey green salads and one hamburger one tomato soup, one juice, two ham and cheese sandwiches b one tomato soup, one tea and two a two soft drinks and two turkey Which of the following orders could they buy with their $12.? Tax included Beverages Soft Drink Sandwiches

3 regularly priced at $ and is on sale for % off the regular price. Sam is interested in buying a TV. At Fair Deal, the TV is regularly priced at $ and is on sale for 2% off the regular price. At Big Big Discount, the same TV is ompeting Sales What is the difference in the sale price of the TV between these two stores? Show your work. Grade 9 Assessment of Mathematics, Winter 28 Open-Response \b)

4 a 7 9 c 2 b H What is the value of 6x 2 when x = I?,4 296 Meg s expression? (xy) b x xy d xv a x4y expression in its simplest form? Which of the following shows the (ry) 7 q, The expression below can be simplified. D8 4 B2 Al Which of the following is the value of 2 value of the numerical expression below.. Meg has been asked to determine the d b a 2 What is the value of(x2) when x = d4 [knit 2: EQAO Questi]

5 5x) Lnit : EQAO Questions]. Which of the following is equivalent to the expression below? (4x 5) + (Zr + I) a 2x 6 5. Simplify fully: 5x(4 x) + 2x a 2x2 17x b 2x 4 b 2x2 2x 2 6x 6 17x d 6x 4 2 5x d 17x 2 2x Which of the following represents the expression 2(x + 4) + (x I) in a simplified form? a 9x± b 9x+5 8x±8 d 8x+ 11. onsider the expression below. x 2 2(5x 2x + 1) Which of the following is equivalent to this expression? a 8x 2 2x+ I b 8x 2+x±4 4 2s+ I 15x d I 5r 4 + v 6x 2 The sum of the perimeters of two shapes is represented by I x + 4v. The perimeter of one shape is represented by 4x 2y. Which expression represents the perimeter of the other shape? a b d 9x±2v 9x±6v 17x+2v 17x±6y 7, Sabeeta expands and simplifies the expression below. 2(x 2 + 4x(7 + x) L{, Simp1i1r the following expression: x(2x + ) 5x Which expression is equivalent to the one above? a 6x2+22x a 6x2 5x+ b lox x b 6x2 6x iox 8x 15x 5x 2 d 28x 2 d 6x 2-i-4x

6 the rest to alvin. Bertha keeps half her money and gives Bertha. money and gives the rest to Asha keeps half his. Asha receives $1. U 21x1 21x1 d j 21xn I.. d 1 a 21 x a translating a document with n words? calculate her charge, in dollars, for Which expression should Kaya use to 21 for each word she translates. 9 Kaya works as a translator. She charges d b 5Oxx a 1O 2 receives from Dane? amount of money that Evanna Which expression shows the dollar the rest to Evanna. Dane keeps half his money and gives the rest to Dane. alvin keeps half his money and gives [it : EQAO QuestioJ

7 Tyler owns five more than twice the number of Ds Raven owns. following statements are true: Tyler, Raven and Deb are discussing the number of Ds they each own. They find that the o. Disc-ussion of Ds the three friends own. Show your work and simplify your answer. Using x to represent the number of Ds Raven owns, write an expression for the total number Deb owns three times as many Ds as Tyler. Grade 9 Assessment of Mathematics, Spring 27 Open-Response

8 1 Guaranteed Low Prices! $.1 /item $2.9Iitem $4.28/item. -- $16 to $15. but not more. items from a catalogue. He can spend up 1. What is the sale price of the skateboard? d $18 c $16 b $14 a $12 price of the big-digit calculator? What is the best estimate of the regular price of a big-digit calculator., The advertisement below shows the sale d $47.5 $28. b $4.75 a $7.8 sales for that day? of the total sales. What are the total One day, she receives $5 for her portion receives 8% of the total sales each day. 2. Josie works in a sports store. She d $15. $12. b $64. a $4. 25% off All items - [Unit 4: EQAO Questions] J x= Fl x2 G xr2 F x= 7 5 2x=9? Which value of x satisfies the equation mechanical pencils d One binder, one glue stick and two mechanical pencil One notebook, one stapler and one notebooks b Two steel clips, two binders and two steel clips a One binder, one stapler and three including 15% tax, can Juan afford to Which of the following groups of items, buy with his $15.? PIus 15% tax on all items Notebook Stapler Steel lip $1.96/item $6.49/item $1.51/item 1 Binder Glue Stick Pencil I. Juan would like to order some stationery

9 }2a is four times his number. 2a metres. to his number and finds that the result rectangular field has a perimeter. Bob is thinking of a number. He adds 15 of (1 Oa 6) metres and a width of, A = 25 = x 1 b h x 12 d h=x12 d )2 Units = 5 h = x 12 xy 2 units = = 52 = 1 = X 1 b 2v2 units a 2xy 2 units represents the length of the rectangle? x 2 If the width is x units, which expression =25 Hint:A = 1w j a h=x12 value of h when t = 1? x Which calculation correctly finds the A 9 2 square units. 6xy d x+15=4x The area of the rectangle shown below is h=t = rocket s height, h, in metres, with respect to time, t, in seconds, using the equation Dan determines that he can model the x b 15 x=4x x D a 2 equation is always true? 7 While experimenting with a toy rocket, a 15 = Suppose x is Bob s number. Which a B 12a 6 A 8a 6 of this field? Which expression represents the length runit 4: EQAO Questions J

10 x + 4 The perimeter of the triangle below is 75 m. O, What Side? Show your work. Determine the measure of each side of the triangle. 9 B 2x + Grade 9 Assessment of Mathematics, Spring 28 Open-Response

11 Ezre works part-time at a clothing store. 1-fe earns $8 per week plus 6% of the value of his weekly sales. What is the total value of his sales this week? This week Ezre earns $119. Part-Time Job The total value of his sales is Show your work. Grade 9 Assessment of Mathematics, 21 Open Response

12 Grade 9 Assessment of Mathematics, Spring 29 Open-Response 2. Keepin Tabs A student council collects aluminum pop tabs to raise money to purchase a wheelchair. A company buys the pop tabs for $.88 per kilogram. If 1267 pop tabs have a mass of one pound, how many pop tabs are needed to purchase a wheelchair worth $15? Show your work. Hint: 1 kilogram = 2.2 pounds

13 Grade 9 Assessment of Mathematics, Winter 29 Open Response, D Sell-Off Juan belongs to a D club that sells Ds for $11.44 each before tax. His first shipment of Ds costs $9.49 including 1% tax. How many Ds are in his first shipment? Show your work.

14 Grade 9 Assessment of Mathematics, Winter 27 Open-Response i Sales Goals Alexis works part-time at a clothing store. She is paid an hourly rate of $1.25/h and also earns a commission of.5% of her total weekly sales. Alexis works at the store 12 hours a week. If Alexis s goal is to earn $15 every week, what do her total weekly sales need to be? Show your work.

15 LUnit 5: EQAO Questio] L The frame of the roof of a small house is being constructed. A portion of the frame consists of four isosceles triangles as shown below. Triangle KLM is shown below. M 7.cm L cm 61m K 12.2m What is the total length of the three sides that form the shaded interior triangle? a.7m b 6.lm 1.5m d 18.m 2 The positions of the water fountain, the picnic table and the swings at a local park are shown below. Picnic table fl Which of the following is closest to the perimeter of triangle KLM? a b d 12.6 cm 16. cm 17.5cm 21.cm The distance covered in 5 laps of a circular track is 4t metres. The Pythagorean theorem was used to determine the distance, in metres, from the water fountain to the swings. Which of the following is closest to this distance? A B D 15m* Water fountain 28m 19m 15m 9m Swings What is the shortest distance between any point on the track and the centre? a b 4m 2m 8m d. 4m

16 5 cm is shown below. wide. S A frame around a photograph is 5 cm d SA=2(wh+lw+lh) P=21+2w b A=lw a V=lwh Which formula should he use to paper he needs to cover the box? determine the amount of wrapping h below. L Hunaid is wrapping the gift shown d 67% 5% Ii % a 25% the frame? What percentage of the entire area is I-. cm cm I.5 cm 2cm 1tcm I I TUnit 5: EQAO Questions j d 4cm 1cm b cm a 28 cm What is the perimeter of WXYZ? 7cm z P Y w x, onsider the parallelogram shown below. d lxw 4 U 2 I. 2 a bxh the lobby? useful to determine the area of part of Which of the following formulas is not ]. The floor plan of the lobby of a hotel

17 . A 5: EQAO QuestjJ 9 The utie upcake ompany is having a sign made. The sign will be a semicircle on top of a trapezoid. soccer goalie is standing in a goal opening. From this position, she can guard the area represented by the semicircle below. 7. m _.. F 2.4 m m I Lo. Which of the following is closest to the total area of the sign? a b 4.27 m2 2.7 m m 2 ci I.1m Two different stores sell coffee in cylindrical packages. The prices and dimensions of the packages from the two stores are shown below. $9.95 How much of the goal opening is she not guarding? a.6m 2 b 8.5m 2 9.m ci 26.6 m2 U. The playing chips of a board game are stored in cylindrical plastic cases. The plastic cases have a volume of mm and a diameter of 4 mm. Playing hip H mm Plastic ase H-4 mm $ cm cm Which is closest to the difference between the unit prices of these two packages? a b c d $.4/cm $.5/cm $.9/cm $.24/cm Which of the following is closest to the height of one playing chip if 5 playing chips can fit tightly into the plastic case as shown above? a b d.1mm.4 mm 1.mm 2.5 mm

18 4cm. 12 cm. the shape of half a cylinder. diameter of 4 cm and a height of d 85rn 75m b 7rn a 6m garden? amount ol lencing needed to enclose the Which of the following is closest to the 2 m 7m 7m 1 m a semicircle as shown below. i4. A garden is in the shape of a rectangle and d 2irx4Oxl2Ocm 2jcx2Oxl2Ocm b mx4o 2xl2Ocm a mx2o 2xl2Ocm heater can hold? the maximum volume of water that the Which of the following expressions shows 12cm. A cylindrical hot water heater has a [t 5: EQAO Questions d 95m 2 75m 2 Lj 48m 2 a 8m 2 the tent, including the floor? What is the approximate surface area of height is 5 m. radius of the base is m, and the slant A tent has the shape of a cone. The d 848m 2 565m 2 b 424m 2 a 28m 2 What is the approximate surface area of the curved roof?. m S, The figure shows a greenhouse roof in

19 that is open at the top. He wants to paint the outer surfaces of the container, including the bottom. 1, Brad has a cylindrical metal container J 12.5 cm H 9.7cm G 8.cm F 6.cm of the unshaded cone? and fills it to the top. What is the height The shaded part starts full of sand. The sand empties into the unshaded cone. 6cm I 2 cm 4 cm 5 cm unshaded cone. to another, as shown below. The sand flows from the shaded part to the LE Sand is being poured from one container D (it(2) 2 + 2t(2)(5)) cm2 2(t(2)2 + it(2)(5)) cm2 B 2t(2)(5) cm2 A t(2)(5) cm2 Which expression should he use to calculate the area to be painted? 5cm [UnitS: EQAO Questi] ci 5cm 4 cm b 5 cm a 15 cm What is the volume of the mould? 15cm I I pyramid. a candle in the shape of a square-based 2X) The mould shown below is used to make d cm 15cm 1 2 b 75cm 2 a 8 cm2 Aiaterai surface = 2itrh DyIinder = nr 2h Hint: Which of the following is closest to the area of the lateral surface of the cylinder?. 15cm j9 The cylinder below has a volume of

20 has a total volume of 1 cm. cardboard to make. J Box A costs less; it uses 496 cm2 less cardboard to make. cardboard to make. G Box A costs less; it uses 29 cm less H Box B costs less; it uses 496 cm2 less Which of the following statements is correct? cardboard to make. F Box B costs less; it uses 48 cm less 1* 28cm i 28 cm 4 55cm 2cm 2cm t BoxA Z2 Box A and Box B have about the same volume. The cost to make a box depends on the amount of cardboard used. d 2. m m2 b 1.5 m2 floor? a 4.6m 2 of the tent, including the ends and the Which of the following is the surface area V. Examine the tent below. LUnit 5: EQAO QuestionJ d about 7 1 cm about 6 b about 5 a about 4 box? What is the largest number of D cases Elisa can pack inside the covered storage L-i 4cm-.J 12.5 cm storage box. 2. Elisa wants to pack D cases into a d 2.cm c 4.cm b 6.2cm a 6.9cm length of the radius, r? Which of the following is closest to the 2.. The cone shown below is 2 cm high and

21 A Volume = 64a b6 by the expression V 24x 2v when contain an amount of water represented completely full? of a prism are given below. d 2ycm 2y cm b 6ycm a 8y cm is the volume of the cube? 2b, Each side of a cube is 2y cm long. What y 1a D - B 25, Which of the following fish tanks would [Unit 5: EQAO Questions j d 8x v shown below. 2. A box with a volume of 12x 2y2 is J 1O24a b 9 H 124a w =? b xy a 2xy What is the width of the box? V= 12x 2y2 Hint: V= lwh b9 G 4a F 4a 2b b of the prism? Which expression represents the height Base area = 1 6ab Z1 Expressions for the base area and volume

22 times the volume of the tennis ball. a The volume of the volleyball is which statement below is true? times the diameter of a tennis ball, 8.4 m2, as shown in the diagram. 29 hris has a square garden with an area of d 4OcmX6Ocm 25crnX25cm b 2 cm X cm a lcmx 1cm that satisfies her conditions? What are the dimensions of the rectangle the largest possible area. a perimeter of 1 cm and Ella wants a rectangle with d 49m 42m b 4m a 24m She also puts fencing around the smallest amount of fencing that Maria needs? Which of the following represents the perimeter of the garden. 16 squares that are each 1 m by 1 m. uses fencing to divide the garden into in a rectangular-shaped garden. She. Maria grows several varieties of plants ci 18m 25m b 2rn a 7m smaller garden? Which is closest to the perimeter of the 1.7 m to make a smaller garden. He decreases the length of each side by LUnit 5: EQAO Questions] d byafactorof9. by a factor of 6. b byafactorof4. a byafactorof. surface area of the sphere will increase, If the radius of a sphere is tripled, the tennis ball. 27 times the surface area of the d The surface area of the volleyball is tennis ball. 9 times the surface area of the c The surface area of the volleyball is times the volume of the tennis ball. b The volume of the volleyball is 9 2. If the diameter of a volleyball is three

23 Ernelina makes toy sailboats as shown below. 4O Toy 14 Open-Response Grade 9 Assessment of Mathematics, 21 Show your work. Determine the total area of the shaded sails. 11 cm Sailboats

24 The semicircle in the diagram below has a radius of 4 cm. 12 Open-Response Grade 9 Assessment of Mathematics, Winter 29 What is the area of the shaded region? Show your work. 14cm /%m.h\ 5. Something s Missing

25 L,. one Zone is 1 cm. Zach measures the slant height of a cone-shaped cup and finds that it is 12 cm. The height Show your work. Determine the volume of water in the cup if Zach fills it to the top. Grade 9 Assessment of Mathematics, Winter 28 Open-Response 12 11

26 Open-Response Grade 9 Assessment of Mathematics, Spring 27 7 Pizza Puzzle One weekend, a pizza shop offers two specials for the same price. The pizzas are all the same thickness. FIBONAI SPEIAL Two Pizzas GALILEO SPEIAL One Pizza Determine the diameter of the Galileo Special if the two specials contain the same amount of pizza. Show your work. 12

27 Ooen -R esoonse hoc-o-an Sweet Shapes is a company that makes chocolate. Each year, the company produces a new can for its specialty chocolates. This year s can is illustrated below. The top of the can swings open for easy access. Derek makes a sketch of the bottom of the can and records the measurements below. 2cm a) Determine the area of the bottom of the can. Show your work. 9

28 Show your work. Determine how many chocolates a container of height 15 cm will hold. about 28 cm of space. b) The can contains individually wrapped chocolates that each take up 1 Grade 9 Assessment of Mathematics, Spring 26 15cm Show your work. Determine the radius of this can. height of 15 cm. contain 75 wrapped chocolates, each with a volume of 19 cm. This can will also have a d) Next year, Sweet Shapes will produce a cylindrical can for the chocolates. The can will 28 cm of space. chocolates each take up about The original Reminder: of 1 of the reduced chocolates. Show your work. c) Sweet Shapes wants to reduce the size of each chocolate by 15%. Determine the volume 15cm Open-Response

29 for its golf balls. The Ultraflight Golf Ball ompany is designing new shipping crates 9 alculating rates 1 Grade 9 Assessment of Mathematics, Winter 26 Write your answer in the table above. a) Determine the surface area of rate. Show your work. rates rate rate a) rate rate (cm) (cm) (cm) V = lwh SA = 2(wh + Lw + lh) Length Width Height Volume (cm) Surface area (cm2) Width 25cm rate with heights of 25 cm. boxes of golf balls. The table below gives data about five different crates The company requires large crates with a volume of 64 cm for shipping Ooen-Resoonse

30 surface area. Describe the relationship between its length and width that makes it have the smallest b) In the table, rate 5 has the smallest surface area. R 11 cm 12 cm How much wasted space (air) is in the package? Show your work. The radius of each golf ball is 2 cm. d) Golf balls come in packages of three. Justify your answer. the smallest surface area. Use the relationship you found in b) to determine the length and width of the crate with c) The company designs a new crate with a volume of 64 cm. Its height is 4 cm. p e n - e s p nse

31 d and9. 2andIO. b y=x I b Oandl2. c yx 2+ 2zz1O 2 linear and non-linear equations.,, The table below shows examples of d none 2. y = x 2 straight lines? represent a linear relation? Which of the following equations does not 1.4 How many of these equations represent [!it 6: EQAO Questions] in the linear equations is 1. in the non-linear equations is 1. d The exponent of exactly one variable the non-linear equations is 1. The exponent of both variables in b The exponent of exactly one variable Which of these statements best describes the linear equations is 1. a The exponent of both variables in non-linear equations in the table above? how linear equations are different from y= x 2x2-5y y= x y=2x y=5x y=5x Linear equations Non-linear equations Equation Examples y=2x 2 2 x=4 B y= 2x 4 A xy represented by a straight line on a graph? 2. Which of the following equations is not d x 2v I=O a x= a 2 and 14. The values that are hidden are 1j: linear relation. Two of the numbers are hidden behind a ketchup spill. Gerry has a table of values representing a d 2x+v 5 x2+v b * v a v = 2- equation of a line? 5 Which of the following represents an three b two a one y = 2 4x

32 d y x b d (s) (s) (m) Time Time Distance 1 2 (m) Distance b relation? metres, as a function of time, in seconds. relation? The following tables express distance, in LUnit 6: EQAO Questions] 4 16 x y x y a x y ]. Which table of values represents a linear (s) (m) Time Distance (s) (m) a Time Distance Which table represents a linear

33 [it 6: EQAOQuestionj 9 Soheila needs to calculate the first differences for the relations below. Which relation will she find is linear? a Time Distance First (in hours) (km) differences Square gardens are arranged side by side as shown below. Li 1 garden gardens 4 sides 1 sides U I I I 5 gardens 16 sides ?? Which table of values represents the relationship between the number of gardens and the number of sides? a Number of Number of gardens sides b Time (in hours) Distance (km) First differences ? Time (in hours) 45 Distance (km)? 7 First differences b Number of gardens Number of sides ? ? 7 Number of gardens 1 2 Number of sides 4 6 d Time Distance First (in hours) (km) differences ? 7? d Numberof gardens Numberof sides

34 Year Annual salary ($) Time Reading (km) last five years. only one -mm rest stop. The table shows her annual salary in the speed for the whole journey and makes Natasha works for a computer company. He travels at approximately the same 2. Mark records his car s odometer reading. [iit 6: EQAO Questionsj d $49 6 c $46 4 b $4 2 a $4 8th year? Natasha s annual salary be in the If the trend continues, what will increases. d y decreases non-linearly as x increases. y increases non-linearly as x b y decreases linearly as x increases. a y increases linearly as x increases. relationship between x andy? Which statement describes the differences x First based on a relationship between x andy and calculated the first differences. The values of y have been concealed. Inez created the following table of values d Between 4: p.m. and 5: p.m Between : p.m. and 4: p.m. b Between 2: p.m. and : p.m. a Between 1: p.m. and 2: p.m. -mm rest stop? When does Mark most likely make his 4: p.m :p.m :p.m :p.m :p.m : noon 2591

35 Wind speed (km/h) Temperature ( ) Wind speed (km/h) Temperature ( ) Wind speed (km/h) Temperature ( ) between x andy? Which statement describes the relation b d a Wind speed (km/h) Temperature ( ) non-linear relationship?.1 Which table of values represents this E. ) Wind speed (km/h) Temperature vs. Wind Speed wind speed. relationship between temperature and calculator. The graph below shows a non-linear Study the display on Marie s graphing LUnit 6: EQAO Questions] a I increases. d y decreases non-linearly as x increases. y increases non-linearly as x y decreases linearly as x increases. a y increases linearly as x increases.

36 faces. Which statement is true?. V. L. 6 7,.. G She randomly assigns numbers on the six faces of each of the cubes, possibly She rolls the red and the green cubes numbered cubes: one green and one red. repeating some numbers. results in a graph. together nine times. She displays the relationship between the mass and the strawberry jam. gram. gram. d Brand D has the lowest cost per Brand has the highest cost per b Brand B has the smallest mass. BrandA a Brand A has the lowest cost U, 4- Brand D (, For a new game, Xiao makes two fl The following graph shows the 5 ost vs. Mass cost of four different brands of [unit 6: EQAO Questions) cube s faces. some numbers are repeated on the The red cube has fewer than 6 cube s faces. some numbers are repeated on the distinct numbers on its faces, as distinct numbers on its faces, as The green cube has fewer than 6 repeated on the cubes faces. on its faces, as no numbers are B Each cube has 6 distinct numbers numbers on its faces, as some numbers are repeated on the cubes A Each cube has fewer than 6 distinct suggest about the cubes? the data in the graph most likely Which of the following statements does Number rolled on red cube z. E o L. o 4 4 ) 4:)...)...- vs. Number Rolled on Red ube Number RoUed on Green ube.- - Mass (g) BrandO - BrandB - rfl

37 number sold decreases. number sold is constant. number sold increases. d As the unit cost increases, the As the unit cost increases, the b As the unit cost increases, the unit cost and the number sold. a There is no relationship between the D players sold is true? G 2 41 F E D A model sold in the past month. and the number of D players of that Which statement about the relationship. Sergio sells 7 models of D players. The table shows the unit cost of each model between the unit cost and the number of P 96 points b 48 points a 6 points point total after 4 games? values is the best prediction of their bn dq am between earnings and time worked. in the same ratio, which of the following If the team continues to win, tie and lose Model Unit cost ($) Number sold 7 d 48 points Earnings vs. Time Worked, The graph below represents the relationship Lunit 6: EQAO Questi] Time worked (h) t 1 E N has 5 wins, 2 ties and losses. loss counts for points. A soccer team 2 points, a tie counts for 1 point and a 2, In a soccer league, a win counts for Which of the following points represents the highest rate of pay? LU I

38 slope? per rose. segments as shown. A $18. B $8. $5.85 D $2.74 ci b2 a4 slope of this line? of the following could represent the 21. A is the point ( 2, 1), B is the point (1, 4) and D is the point (1, 6). d $62. = 5 +.n. a (1,1) [it 6: EQAO Questions] Which line segment has a negative on an xy-plane and joined by line 2 Four points, A, B, and D, are marked a vase? What does Alex s Rose Shop charge for bouquet of 2 roses. bouquet of 12 roses. The shop charges $2.85 for a The shop charges $5.85 for a y x a BA b B D AD and charges for the vase, plus a cost 22. Alex s Rose Shop makes up bouquets d4 D is greater than the change in y. Which 2. For the slope of a line, the change in x c $7.7 a $27. What is the cost of printing 9 leaflets? is given by the formula 25 The cost, in dollars to print,z leaflets b (1,4) c (4,1) d (4,4) b $5. following points is point? If ABD is a rhombus, which of the

39 d 8:24 a.m. 8:17a.m. bottles. The relationship between M, the rides her bike to school every day. The box will hold a maximum of 8 2. Identical bottles are packed in a box. The equation d = 11.4 represents 5m 2 Nadia lives 11.4 km from school and H $42. G $4.5 F $12.. a n is greater than 7. 6: EQAO Questions] A..:t:: E I2 5 - Distance Below Sea Level vs. Time submarine has descended over time. shows the distance below sea level the 2 1 A submarine is submerging. The graph b 8:16a.m. a 8:11a.m. from school in km. and t, her time will she get to school? If she leaves home at 8:5 a.m., what time spent travelling in minutes. the relationship between d, her distance J $64.5 2]. Theo plans to purchase a new longdistance telephone plan called the Silver company determines the monthly cost cost Theo to talk long-distance for 2 Plan. Under this plan, the telephone The base fee is $/month, which using the following charges. includes up to 15 minutes of long distance. The cost for all minutes over 15 each month is $.15/minute. With the Silver Plan, how much will it minutes over one month? less than 9. n is greater than but less than 9. b ii is greater than or equal to. d n is greater than or equal to but M= 5n + 8. is represented by the equation and n, the number of bottles in the box, total mass of the box and its contents, Which of the following are possible integer values for the variable n?.6t d 75m b 25m a m submarine descended after 24 mm? How far below sea level has the Time (mm) / l I Fr 11 4(111

40 b According to the graph, how many order to make $15? number of tickets sold. tickets must the community group sell in b 178cm 48.6 cm in length? height of a person with a femur bone of According to the formula, what is the Femur bone in centimetres, according to the following formula: Scientists find that the height of a the length of the person s femur bone, person, h, in centimetres, is related to Unit 6: EQAO Questions j ) I- - x Ticket Sales vs. Number of Tickets Sold y Number of tickets sold a 2 d 275 will make from ticket sales and the relationship between the money they and then plots a graph to show the much to charge for tickets to the event skating event. The group decides how O. A local community group is organizing a a 19cm 186cm d 47cm h =

41 travelled. a week. charges for a ride and the distance [Units: EQAO Question] E z 4- I d 6.km 5.8km b 5.2km a 4.8km charge for the ride is $9? How far has a customer travelled if the Distance travelled (km) x 1 y Amount harged vs. Distance Travelled between how much a taxi company 2 The graph below shows the relationship worked Number of hours a, 4- LOU) U, d worked Number of hours worked Number of hours 4- U, b worked Number of hours a) 4- U)U) U, a) between Beth s earnings and the number Which graph shows the relationship of hours she works in a week? She earns $11/h for working beyond 2 h $8/h for her first 2 h of work in a week. 2 Beth works at a grocery store. She earns

42 d $1 t, in hours. d Number of tickets sold Number of tickets sold ---± Which equation represents the profit? T of lollipops sold. in dollars, and n represents the number P represents the student council s profit, J_o t tip OP% and spend $1 to advertise the sale. 1 each. They pay 4ç for each lollipop 4. The student council sells lollipops for [Unit 6: EQAO Questions j Number of tickets sold Number of tickets sold ) A flfl 12 the number of tickets sold? dollars made by the student council and the relationship between the profit in Which of the following graphs represents video dance for $5 each. The cost of the disc jockey and the equipment is $12. A student council is selling tickets to a c $8 b $5 a $ What is the initial charge to rent a canoe? a canoe., in dollars and the rental time, between the total amount charged to rent = to represent the relationship ( A sports company uses the equation d 2n+275 =2n+225 b = 2ii of seats? total cost in dollars and n is the number transportation cost for the trip if is the Which relation below describes the total a = 2n $2 for each bus seat. of $225 to rent the bus, $5 for gas and transportation cost for the trip is made up 5 A bus is rented for a class fleld trip. The d P=1+.4n P=lOn+.6 b P=.6n+1 a P=.6n l I b 24 I. a ±- nni Iñri o1ni ñn cñn QI! 9t?o:

43 [t 6: EQAO Questions],. The charges on a monthly water bill are $.86 per m of water used plus a service charge of $4.49. Let = total charge, in dollars, and w = total amount of water used, in mj L Lj. The table of values below displays the cost of renting a bicycle. Time, t ost, (h) ($) Which equation models the cost of renting a bicycle? Which equation represents the relationship between and w? a b =5t =25t F 4.49 x.86w =5t+25 G 4.49w +.86 d =25t+5 c H = w J = ( )w The following table shows values for a linear relation. Lf j, A computer decreases in value over time. The relationship between the value of the computer, v, in dollars after t years is written as the equation v= x 15 y A line representing the relationship is graphed V ft Which of the following equations represents the relationship shown in the table of values? a 4 y=--x l6 z b 4 y=--x l Time (in years) d y=-x 6 What does the v-intercept of the line represent? A B D The decrease in value per year The initial value of the computer The number of years until the value is $ The number of years the computer will work

44 b x=6y a y=5x of 5. line with a y-intercept of 6 and a slope 42. onsider the following linear relations. 49. Identify the equation that represents the L Unit 6: EQAO Questions] d 25n+l 2n+1 b =-fn+ 1 a =n+l Which equation represents the graph? Number of months ost vs. Number of Months to belong to a local gym. 4? The graph below represents the cost d Lines Liner b Lineq a Linep equationy = 2x + 5? Which line represents the graph of the j::z 91 U d =lod+ =d+ b =.4d a =.ld+ Distance (km) 2 d.) ft 5 ost vs. Distance the graph? 4Sf, Which equation represents the line on d y=5x+6 y=6x+5

45 -- 4/ - -4 LUnit 6: EQAO Question] 4. Which of the following graphs best represents the line with a a slope of and a y-intercept of 2? 41 Which graph represents the relation y=+x+2? F 4 :1 ;;j b G y - A_ /2i124 x K li t 1 2 J. y a 2- x d

46 a. F onsider the following chart and graph. b y---x+5 d y= 2x+8 y 2x n.1l 9 1. a p a P = in + 5? Which graph represents the equation through the points (2, 4) and (4, )? 4 \. What is the equation of the line that passes ci p o / o Hfl Unit 6: EQAO Questions J. Ii ci 4 c 29 b 18 a 4 equivalent to 2 F? What temperature in degrees elsius is 4 8 2O 1 4J I I I I I elsius, Fahrenheit, F I I I I I -. in degrees in degrees Temperature Temperature 4

47 writes the equation of the line in y-intercept. y-intercept. y-intercept. h=6 b= a rn 9 of m and b? v = nix + b form, what are the values the points ( 1. 6) and (. ). If Janelle y-intercept. a The fixed setup costs for printing b= : b= F t / 51. I / I I. / I -r- c A of printing the yearbooks this year. 5. Janelle draws a line that passes through 1 units. d The vertical intercept will decrease by 1 units. c The vertical intercept will increase by b The steepness of the line will decrease. a The steepness of the line will increase. Which of the following describes how the graph of the relation will change? hour, but the initial charge will stay the same. Next month, the rate will change to $6 per in dollars and t is the time in hours. = 5t + 7. where is the total cost Services is represented by the equation The total cost of hiring Beth s Plumbing d less steep and have a higher less steep and have a lower b steeper and have a higher The graph would be y = x 2 change if the and 2 How would the graph of the relation a steeper and have a lower were both doubled? d m- m 9 b m= Lit 6: EQAO Questions j Which statement is true? U,.) 5-i. The total cost of printing yearbooks for printing this year. year is more than the cost per book d The cost per book for printing last for printing last year. year is more than the cost per book The cost per book for printing this the fixed setup cost last year. yearbooks this year is lower than b The fixed setup cost for printing are the same. yearbooks last year and this year Number of yearbooks ;, ost vs. Number of Yearbooks Graph A represents the total cost a cost per book. is made up of a fixed setup cost, plus 11 Pfl 7 Graph B represents the total cost of printing the yearbooks last year.

48 is I. d They-intercept of the line through AB is 4. Which statement is false? A\4 Which equation represents Line P? 5(. Line P is shown below. {. -. b The slope ofd is 1. 5 remains constant, which graph below best, F y x.7e a - 57 onsider the following graph. represents the new line? If the slope is doubled and they-intercept x -4 5S. The graph of a line is shown below. Unit 6: EQAO Questionsj b [ I) y _1_J , d c The i-intercept of the line through D a The slope ofab is 2. d xy+5 b y=5 a x=5 -- t yx+5 V D 2 4

49 D DA is perpendicular to AB. B is perpendicular to AB. A AD is parallel to B. A B D is parallel to AB. 8 N :1: quadrilateral ABD. 59, The following graph shows the It has a slope ofo. b It has a negative slope. d It is parallel to the y-axis. a It has a positive slope. Which statement about the line segment PQ is true? Which of the following statements is false? 12 point (6, 1). 5& P is the point ( 6, ) and Q is the (2., A line has the following characteristics. d y= x x b y=x+6 12 y it 6: EQAO Questionj y 1 x L2 L1 the lines shown on the graph? O, Which pair of equations best matches D m 2;b8 m 2;b B m+;b y-intercept, of the line? What are m, the slope, and Li, the It passes through the point (4, ). +. It is perpendicular to the line y= x+2 a y=x+2 parallel to the line y = x + 4? passes through the point (2, ) and is (ol What is the equation of the line that 12:y = x 4 ci L,:y= x 5 L2:y =x 2 L1:y= x+5 L2: y = x + 4 b L1:y=x+5 L2: y = x 4 a L1:y=x+5

50 drawn? xy-plane. [. Donna has correctly drawn a line on an d 8 D(, ) and E(2, 1). - 4 y J 2 (o(z PQ is a line segment with slope dde b t y Q (9, 2) What is the value of y?.. PQ and RS are parallel line segments. c, S onsider the points A(I, 4),.B(6, ), ( 1, 5), Liit 6: EQAO Questi] a y=x+ b y=x+6 y= x+6 represents the line that Donna has Which of the following equations p (6, 1) /S(,y) R (, 2) a 5 7 My line is parallel to the line y = x + 1 and has the same y-intercept as the line y = 2x + 6. Donna d y= x+ point R? Which of the following points could be perpendicular to PQ. The point R is plotted so that RQ is as shown below. I I I I I a AE b BE E y x a (1,5) b (2,4) c (,2) d (4,1) Which line segment is parallel to AB?

51 Option 1 Option 2 Option The cost of producing a family photo album is $.5 per photo, plus a fixed cost for the album. ircle the table below that represents this scenario. Picture Perfect Justify your choice and include an explanation of why you did not choose the other options. 2 $1. 2 $7. 2 $ $ $ $ $5. 1 $6. 1 $4. 5 $2.5 5 $5.5 5 $7.5 of photos, p of photos, p of photos, p ost, Number Number ost, Number ost, Grade 9 Assessment of Mathematics, Winter 29 Open-Response 7

52 Repair time, I ost, The table below represents the linear relationship between cost and repair time at an appliance store. Open-Response Grade 9 Assessment of Mathematics, 21 6 Justif, your answer. ircle one: Direct variation Partial variation Is this relationship a direct or a partial variation? Initial value: Determine the initial value of this relationship. Show your work (h) ($) What s the harge?

53 V Value of ar vs. Time ybelle and Peter each buy a car. The graph below represents the value of ybelle s car over time. Justify your equation. in dollars, and time, 1, in years. Peter s car costs less than ybelle s. The value of both cars changes at the same rate. Determine a possible equation to represent the relationship between the value of Peter s car, J Time (years) 1245 t 4 8 I Q Hot New Wheels Grade 9 Assessment of Mathematics, 21 Open-Response 7

54 : ost vs. Number of Pages with black ink only. represents the cost of printing the document in colour. Line B represents the cost to print it The graph below shows the cost to print a document at the Graphics Shop. Line A ]Q. To olour or Not to olour Show your work. only? For a 5-page document, how much more will it cost to print in colour than with black ink Number of pages _Li --.) U :z-z:l : :T; ne B (black ink only) ,,. A (colour) z z : I: Grade 9 Assessment of Mathematics, Winter 27 Open-Response 9

55 Grade 9 Assessment of Mathematics, Spring 27 Open-Response 1Q Lineup The liney = -i-- x + 5 passes through only one pair of points below. y. B 4 A Which pair of points could the line pass through? Justify your response. 9

56 r V The shoreline is represented by the line through points A and B. Open-Response Grade 9 Assessment of Mathematics, Winter 28 8 Determine whether the path from to D is perpendicular to the shoreline. Justify your answer. f i--f c (-4, a) 1 -.L A -8 - B(8, 5)\ -! Z\ D(6, 2) I \\ F -L Z \- f X 2 \- 1 1 ]TA TIIJi : A boat is travelling from Point toward Point D, which is on the shoreline. 12. Washed Up on the Shore

57 D Distance from Motion Sensor vs. Time [Unit 7: EQAO Questions] d.5 Which of the following is closest to Tyler s toward the motion sensor? speed in metres per second as he walks a U, U, E 1...;;....8 b 1. Time (s) l, 2 oi 4 motion sensor. The graph below shows information about Tyler s walk. Tyler walks along a line leading from a t b a Time(s) U Time (s) E d D E U, 2 ) U, ) U, produced on the graphing calculator? Which of the following graphs would be speeds up as he approaches the wall. The student walks slowly at first and then motion detector, points it at a wall and walks toward the wall. 2 In an investigation, a student holds a

58 home to a friend s house. The graph below time spent travelling to his friend s house. D represents the relation between D. the distance from Jeremy s home, and t, the Distance vs. Time between distance and time on Javier s walk. L4, The graph below represents the relationship, Last weekend, Jeremy travelled from his [Unit 7: EQAO Questions j steeper. steep. ci start at the current point and be less start at the current point and be steep. b start at a higher point and be less This new line will This weekend, Jeremy travels to his friend s house but leaves from school. Jeremy s school is between his house and his friend s house. how will the line representing this trip compare to the line representing the previous trip? a start at a higher point and be steeper. If he travels at a faster rate this weekend. Time spent travelling I ( a, E II) > E ( E a D Home vs. Time Spent Travelling Distance from Jeremy s d. rn/s 2. rn/s b 1.5m/s a.5 rn/s section p than in section q? How much greater is Javier s speed in Time (s) ) I a) 16 q 2

59 Distance vs. Time b y= x+2 race over time. a y=x+8 distance from the starting point of a 5. The graph below shows a runner s d ran at 5 different speeds. took 2 breaks. breaks. b ran at different speeds and took 2 breaks. a ran at 2 different speeds and took The runner U 4 L4 always ran at the same speed and Time LUnit 7: EQAO Questi] d rn,-.h=16 b In=*.b= 16 a mh=8 x 2y+ 16=? of the line represented by 9, What are the slope, in, andy-intercept, h, d The slope is and the y-intercept is 6. c The slope is 5 and the v-intercept is 12. b The slope is 5 and they-intercept is 6. a The slope is and they-intercept is 12. theline5x 2y 12=?, Which of the following statements is true for 6 2 What is the y-intercept of this line? relation represented by 2x 7 Salazar is asked to graph the linear d y= x+2 form y = nix + b. Rearrange 4y x y=x+2 A 6 y B 2 m --,b= =. = 8 so that it is in the

60 S--2 i4.. Z1Lf JJTI {._4. linear relations. 4x 5y The grid below shows the graphs of four W. Imagine the graph for the relation d ( 2,) (, 2) b (,2) a (2,) c S ). r. 4 (IltIlt IIlI y andx =? of intersection of the lines y = x What are the coordinates of the point J4 4 5 G F 5 What is the s ope? H1H r r I ± ±-f [iijt 7: EQAO Questij. x D Line4: 2x y l2 Line: yx+5 B Line2: 2x+y+l2O A Line 1: its equation? Which of the following matches the line with x

61 [nit 7: EQAO Questions] The equations y = x 5 and y = represent straight lines intersect. that Two Internet service providers are competing. y x The equation = O.4t + 1 represents the relationship between the total cost,, charged by Internet onnections and the time, t. Total ost vs. Time In which quadrant do they intersect? a b d 1st 2nd rd 4th.) It. Temira needs to rent a car. She considers the following price equations, where is the total cost, in dollars, and n is the number of days Time (mm) ompany Rentway 2n Equation + 1 heapie s Rentals = 25n + 5 ars ars ars = 5n Drive Away = 15n Which company should she choose if she is planning to rent the car for at least 1 days? F G K J Rentway heapie s Rentals ars ars ars Drive Away Surf Away wants always to be cheaper than Internet onnections. Which of the following equations represents this situation? A B D =15 =.2t+ =.t+9 =.5t+8 11

62 D The Bryant Bulldogs basketball team takes the bus to play the Jordan High Thundercats. Distance from School vs. Time Dogs Versus ats Describe the three parts of the Bulldogs bus trip, using the information on the graph. Include information about distance, time, direction and speed in kilometres per minute for each section of the graph. Time (mm) t.1 a).) U) 5 1 E 15 U) 25 Ẹ 2 Grade 9 Assessment of Mathematics, Spring 29 Open-Response 7

63 Open-Response Grade 9 Assessment of Mathematics, Spring 27 Selena s Stroll The graph below represents 4 segments of Selena s morning walk. - D Distance from Home vs. Time E E E t Time (mm) Describe the four segments of Selena s walk. Hint Include information about direction, distance, time and speed, in m/min. 6

64 Grade 9 Assessment of Mathematics, Spring 28 Open-Response. Excellent Equations A line is perpendicular to the line y = 2x + and has the same x-intercept as x+y+lo. Find the equation of this line. Express your answer in the form y = mx + b. Justify your answer. 9

65 Open Response Grade 9 Assessment of Mathematics, Spring 29 A Tale of Two Lines Below are the equations of two lines. LineA:x 2i + 8 = Line B: 2x + y + I = ompare the two lines by considering their slopes. Justify your answer. Hint: Include information about steepness, direction and whether the lines are parallel or perpendicular, or whether they are neither. 1

66 the same slope as the line represented by 4x y the same y-intercept as the line represented by 2x + y = and A line has 1 Open Response Grade 9 Assessment of Mathematics, 21 Show your work. Determine an equation of this line. ZOc The New Line

67 Grade 9 Assessment of Mathematics, 21 Open-Response Event-full At Lowell High School, the cost to attend special events depends on whether or not a student has purchased a $1 discount card. Option A: The student buys a discount card. The cost is $5 per event. Option B: The student does not buy a discount card. The cost is $7.5 per event. Graph the relationship between total cost and number of events for each option on the grid. Total ost vs. Number of Events 7 6 U, 5 4- U) Number of events hfl Determine the conditions under which a student at Lowell High School should choose each option. Justif your answer. 11

68 Open-Response Grade 9 Assessment of Mathematics, Winter 29 22, ellphone Plans Serge is choosing a celiphone plan and wants the lowest cost. ell-a-bration charges $12 per month plus $.5 per minute for celiphone service. E-Phone charges $28 per month for unlimited minutes. Monthly ost vs. Number of Minutes 2 )Q 24 U,.) > t I Number of minutes Determine under which conditions Serge should choose ell-a-bration and under which conditions Serge should choose E-Phone. Justify your answer. 1

69 Open-Response Berries for Picking Sanya has a summer job picking berries at a farm. Each day, she is paid a base salary, plus an amount for each basket she fills with berries. The equation W = n represents the relationship between Sanya s daily wage, W, in dollars, and the number of baskets she fills, n. a) Graph the relationship represented by the equation on the grid below w Daily Wage vs. Number of Baskets Filled n Number of baskets filled b) Explain what the slope of the line means in relation to picking berries. 11

70 .. Open-Response ) Determine the number of baskets that Sanya must fill to have a daily wage of $7. Show your work. d) Sanya s brother picks cucumbers at another farm. His payment structure is represented on the graph below. 15 w Daily Wage vs. Number of Baskets Filled ) -., V. 7 -, ,., Number of baskets filled He is offered a new payment structure of $2. per basket but no daily base salary. Should Sanya s brother accept this new payment structure? Explain your answer. 12 Grade 9 Assessment of Mathematics, Spring 26

71 d D= 12n+25 d2 ci b 1 n D the scatter plot below? graph below. of hours spent travelling are shown on the 2. Data on distance travelled and the number LUnit 8: EQAO Questioj a 2 of a line of best fit for the data shown in Which of the following could be the slope D1n+18 b D8n+2 a D=5n+ of best fit for the data shown? Which equation best represents the line Number of hours E a, l, Distance Travelled vs. Time the graph. The lined = ion + is also shown on

72 N= t+2 N t+ 1 B N= 4-t+2. A N= --t+ 1 at noon each day. He also records the heating cost per day. The graph shows a relationship between N, the number of pages in Annie s textbook that she has above? Which equation represents the line 2 E n. I \ 1-8 a-. (J :4: - Time (mm), The following scatter plot shows the scatter plot and a line of best fit for his heating cost per day decrease when the :.:.:: By approximately how much does the, Outside temperature ( G) U -f ibt - -L Duncan records the outside temperature data. [iit 8: EQAO Questions j I (U left to read, and t, the time in minutes she spends reading the book. N TrTT Number of Pages Left to Read vs. Time I s I4_ - f- d $7 $5 b $ a $1 outside temperature increases by 5? Heating ost per Day vs. Outside Temperature

73 Grade 9 Assessment of Mathematics, Winter 28 Open-Response S. March Temperatures The average March temperatures for six Ontario communities are plotted according to their latitudes on the following scatter plot L. z. 4 I a. E 6 4- o 8-1 T Average March Temperature vs. Latitude. I.I.---,, _ Latitude (degrees) The city of Kenora has a latitude of 5 and has an average March temperature of 6.. Does the community of Kenora follow the trend of the data? Justify your answer. 5

74 j_z_izf.1 Determine the age of a bird with a wing length of.6 cm. Justify your answer. You may use the grid if you wish. data for a particular species. Wing length is a reliable method for determining the age of young birds. Below is an example of Wing Length 6 Open-Response Grade 9 Assessment of Mathematics, Spnng 28 Wing length (cm) Age (days) A (, Age vs. Wing Length 4 5 Wing length (cm).. w

75 Open-Response Grade 9 Assessment of Mathematics, Winter 27 7 Population Plans Alvin is researching the population of anada. He finds data for the year 21 and predictions for every 5 years after that, as shown below. Number of years since 2, t Population (in millions), P P Population vs. Number of Years Since E F t Number of years since 2 Determine an algebraic model for Alvin s data, and use it to make a reasonable prediction for the population of anada in 26. Justify your answer. 6

76 Ooen- ResDonse Thrill Rides Susanna travels to different amusement parks to ride 15 roller coasters and collect data about each ride. She constructs a scatter plot to show the relationship between the total length of the ride, 4 in metres, and the maximum height of its peaks, h,, in metres. a) Draw a line of best fit to represent the data. 1 Length of Ride vs. Maximum Height E 1 L- I i b) Determine an equation for your line of best fit. Justify your answer. -J : -- t -- uu Maximum height (m) 6 h 8 Grade 9 Assessment of Mathematics, Winter 26

77 Onen-Resoonse c) Susanna rides another roller coaster. The length of the ride on this roller coaster is 5 m. Determine its maximum height, using your results from part a) or b). Justify your answer. d) Susanna collects data about the relationship between the cost of each ride,, in dollars, and the time the ride lasts, t, in seconds. She plots the data on the graph below. Susanna graphs the equation = O.5t. She notices that its line is not the line of best fit. Describe how to change the equation so that it represents the equation of a line of best fit for her data. Justify your answer. U, 4- U,, 9 ost vs. Ride Time TIL : T?,, i. 5 [-FA -----f/ :4:: / L ----I t,,.v Ride time (s) t 9

78 [!it 9: EQAOQuestjons] What is the sum of the interior angles of a 12-sided regular polygon? a 18 b d What is the measure, in degrees, of the sum of the interior angles of a 12-sided regular polygon? L-Q onsider the diagram below. What is the value ofx? a 8 b d 17 5, In the figure, B is extended to D. ZBA = 42 and ZAD = 15. a 216 b d 18 ABD is a quadrilateral. B D What is the value of LAB? A B D 6 B What is the measure of ZBAD? F 18 G 12 H 12 J 144

79 L Unit 9: EQAO Questions j, onsider the following diagram.. A parallelogram is inscribed in a quadrilateral as shown. What is the value ofx? a 14 b 28 c 62 d 76 What is the value of x? a 48 b 49 c 8 d 97 onsider the diagram below. 9 The relation shown below can be expressed as x + 4y 18 =. Which of the following is the value of y in the diagram? a 55 b 7 c 125 d 1 Another way to write this relation is a y=-fx 45. b yx+45. y = ---x + 6. d y+6.

80 d 11 1 b 9 a 8 What is the measure of LA? B>D the same length. LB = 8. ABD is a quadrilateral with all sides d b 115 a 15 What is the value of a? [Unit 9: EQAO Questions d 7 6 b 5 What is the value of m? m triangle. The figure below shows an isosceles d 12 c 12 b 11 a 95 ABD is a quadrilateral. k2. What is the measure of x?

81 b 5 d 55 In the diagram below, line segment EB bisects LABD. Q d 5 Examine the figure below. LMNQ and MNP form the brace. I. A flowerpot hangs from a brace. a What is the measure of LAD? extended to D so that ZAD = 25. S. AB is an equilateral triangle. B is b 54 6 d 72 A B D a 6 What is the measure of ZFEG? [Unit 9: EQAO Questions J What is the value of x? N a 22 b 4 a 6 b 65 7 d 1 What is the measure of LABE? A

82 ci a a Source: The Globe and Mail, 21 measure equal to 1? Which of the following angles has a Profit 2% D 4 A Tax 42% Refining 17% \ jmde costs 9% d 55 b 5 marks a line on the wood where she will What is the size of angle x? in 21. 9, /d In the figure, PQ is parallel to RS. order to make a parallelogram. She 2. Teresa needs to cut a piece of wood in AB is a triangle. AB is extended to D. cut. [Unit 9: EQAO QuestiJ ci d b b R )) ci A reflex angle An acute angle b An obtuse angle a A straight angle What type of angle is ZBD? B b 9 a 6 What is the approximate measure of the marked angle? the price of gasoline in Ontario The circle graph shows the breakdown of 45 a 25

83 onsider the diagram below What s Missing? v= x= Angle measure Justification omplete the table below. Justify your answers using geometric properties. Grade 9 Assessment of Mathematics, 21 Open-Response 15

84 Nicole notices the star design shown below on the pavement outside a movie theatre. 2. Twinkle Twinkle Determine the sum of the angle measures in the corners of this star: a + b + c + d + e. Justify your answer using geometric properties. Grade 9 Assessment of Mathematics, Spring 29 Open-Response 1

85 trapezoid and has an angle of incline of 2. A Ferris wheel has six sides of equal length. The exit ramp of the Ferris wheel is in the shape of a z, Wheels of Fun What are the values of x andy? Use geometric properties to justify your answer. Grade 9 Assessment of Mathematics, Spring 28 Open-Response 11

86 one shown. Eight-Pointed Star Paul s grandmother wants to use quilt pieces to make an eight-pointed star like the Open-Response Grade 9 Assessment of Mathematics, Winter Justify your answer. Is it possible to make an eight-pointed star using copies of her quilt piece? D4B A Quilt Piece Her quilt pieces are in the shape of a rhombus with two angles of Geometric Quilts