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AnsweR KeY VS Clover Bar Junior High Grade 8 Final Year End Review AIMING FOR THE FUTURE CLB Math 8 Cumulative Review Package
Chapter 1 - Representing Data & Chapter 11 - Probability 1. Dr. Shaban measured the height of his daughter every year from her birth to age 14. To see the trend of growth in height, which type of graph would be appropriate to display the data? a. Pictograph @ Line graph c. Bargraph d. Circle graph ’bq,fr\' C&\fip\fi«.\f} A\OA’OV ovec '\'\W\Qz 2. Raji recorded the colour of each car entering the school parking lot. To make statements about car colours, which type of graph would be appropriate to display the data? a. Circle graph b. Line graph @ Bar graph d. Scatter plot - best é'\séon-«:, doda of ore e\ement - (Co\ors 3. These graphs show the number of males and females who took partin a survey. Graph A Graph B @ 16_jl\/lales ®=4 people { @ | ,'§12-— \; Females Females IE & @ s 1 _g- gl Males & X} @ @ 2.1 g | 3 ol Graph C Graph D Which graph would be the least suitable way to display the data? a. GraphA b. GraphB @ Graph C d. GraphD - c\vro\e, araP(J\ should AT Pemfi+ CLB Math 8 Cumulative Review Package
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4. This graph shows the number of customers buying from a store in September and October. Customers per Month jg; . _ Octoper ] 205 Lo ’—W 204 o 208 't 202 | 201 200 September Number of Customers Is the graph misleading? If it is misleading, explain why. a. Yes, the bars do not touch. b. No, the graph is not misleading. C. Yes, the intervals on the vertical axis between 200 and 207 are not even. @ Yes, the graph exaggerates the difference in the number of customers between September and October._‘ - *\—L\& 3"“(3(" does not start ot O. 5. A lunch menu consists of 4 sandwiches and 5 drinks. 4 NS How many possible meals with a sandwich and a drink can you order? a. 9 meals 20 meals c. 14 meals d. 23 meals 6. Acoinis tossed and a regular 6-sided die labelled 1 to 6 is rolled. d o< L What is the probability of tossing a head and rolling a 5? z b I b. 1 ¢ 2 d 1 12 4 3 o 7. This table shows the colours of the 4 scarves, 3 pairs of gloves, and 2 hats that Tamara has. Tamara randomly picks a scarf, hat, and a pair of gloves. What is the probability of Tamara choosing a pair of black gloves and a red scarf? Scarf Gloves Hat ¥ (B G, R 9) Red Black White NN White Brown Red 1 ox 1 Brown Red 3 ' Black | ro o S 16 CLB Math 8 Cumulative Review Package
w L ox L x Z \ Lt 8. A coin is tossed 4 times. What is the probability of tossing 4 tails? Z - Z a. 2 ] c: | : 16 32 6 9. Aspinner has 12 equal sectors. 4 sectors are colo The pointer on the spinner is spun 3 times. P(R> (W What is the probability of the pointer landing on red each time? Y g e 1. b, 1 C. 27 4 10. Two sets of 6 cards are each numbered 1to 6. One card is picked at random from each set. ured red, 3 are coloured blue, and 5 are coloured yellow. 1 . 3 144 3 3 What is the probability of picking 2 numbers with a sum of 4? .Ch\) =2 (2. ‘> @'(J“ 4 U= 3 (2,29=Y4 0 b. 1 ¢ 1 d 1 3y 12 9 ET 6 GNP ERY | ( \\S): (% }‘: ...L— 11. Two coins are tossed. What is the probability of tossing 2 tails? (h=1 3L 14 S xl 159, 2 = g 12. At a pizza parlor, ¢hoices for pizza topping are Garlic, Onion, and Sausage, and choices for size are Mini and Giant. Draw a tree diagram that shows all possible one-topping pizzas. Gorlic /6@—\\'0 Mlfl\ "‘“Ofi"[)fi 6\04\‘\\_‘0(‘\((0!\ S L e N\ ‘;’)ausfigc 5@*’6&36’ 13. Two regular 6-sided dice, each labelled 1 to 6, are rolled. What is the probability of rolling 2 numbers that are the same? | ( _ o Q X7 L 2920 A 36 CLB Math 8 Cumulative Review Package
14. A spinner is divided into 4 equal sectors of red, green, blue, and purple. A regular 6-sided die labelled 1 to 6 is rolled and the pointer of the spinner is spun. What is the probability of rolling a prin\fig number and the pointer landing on purple Z, 345 = 3. = b Z. P _(Pr\';;nt*‘/pw F(eJ _é!_ XT‘.*' : _é__ Chapter 2 - Rates, Rates and Proportional Reasonin Percent g & Chapter 4 - Understanding 1. Write 9% as a decimal. '\'wo l‘\OPS \@{, ofr .‘ B\\ \00 0.09 b. 0.9 c. 9 d. 0.009 2. Write L asapercent. [p= 25x% 100 a. 18% b. 4% c. 12% 24% 3. Write 0.72 as a percent. % 00 or Z hops r\Sh‘\" a. 7.2% b. 0.72% @ 72% d. 0.072% 4. The hundred chart represents 100%. What fraction of the chart is shaded? Write the fraction as a percent. .4 M e B, 228 wieos 29 0 5 @ © . 249 L3 B L 0w 555 24% 57 31.6% 55 76% 55 20% 5. Write 175% as a decimal. —‘- 100 o A ‘(\0(35 rig g a. 1.175 b. 175 @ 1.75 d. 0.175 6. Find 274% 0f 70. of mean4 Mukl(\'P (\1 - Con't N\u.H{pr}' 70 2 x 70 a. 39.14 b. 1918 c. 19.18 191.8 CLB Math 8 Cumulative Review Package
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7. The number of members in the Math Club is increased from 114 to 268. Find the increase as a percent. a. 176% b. 154% Regular price: $135 o 100 Sale price: $83.00 39% b. 63% 5. 9. Write the part-to-whole ratio 12:13 as a fraction. a 13 (b) 1z ¢ fi 13 F \3S 10. A student has 3 red counters and 10 blue counters on her desk. What is the ratio of red counters to blue counters? () 135% 8. Find the decrease in price as a percent. Round to the nearest percent. N - 52 <(125-83) 6% a. 10:3 3:10 c. 3:13 A 7 11. Write the ratio 4:28 with first term 1. |1 ok Ry () 1.7 c. 125 x ¥ 12. Find the value of the variable. TN S:p 8:7 = p:56 1 56 = x P 64 b. 80 c. 72 13. Anastronaut who weighs 78 kg on Earth weighs only 13 kg on the Moon. d. d. How much would a person who weighs 15 kg on the Moon weigh on Earth? 90 kg ~ b. 52kg c. 84kg 14. At an average speed of 34 km/h, how far will a car travel in 8 h? a. 26km @ 272 km c. 4.25km 15. A 25-L container of water costs $18.75. What is the cost per litre? () so7sn a. S1.11/L b. $7.5/L 16. Write 0.54% as a fraction and as a decimal. BBl - B8 . _ 9% . 5 baew | 00 | 0000 S 000 SL 147% L = \ [ | 0O W+ d. 52% 10:13 14 88 moon |3 _ \S eartn 18 n 1IS=13 d. 96 kg 7?X = n & [ . \_@\/,5 280 km £35S 1S _ n A9 | d. $2.22/L CLB Math 8 Cumulative Review Package
17. 18. 19. 20; 21. 22, 23 0.36% _ 365 _ 1> _ 3(0“50}0 | \ ©COO 200 Write 0.365 as a fraction and as a percent. The population of a small town was 4800. The population decreased by 5% one year then decreased by 15% the following year. What was the town’s population at the end of each year? 5% of U300 = 0.05x% 4300 = Q4D decrease H30-4a40= us6o 1STo of 4560 = 0-15X 4560 = (,34 4560 - 624 = 3870 Ina sample from a production line, 30 of 150 DVDs were faulty. What percent of the DVDs were faulty? —?—O— " AL 2 3070 IS0 0O 130% of a number is 78. What is the number? j_3 . 120 1¥X100= 1DO ™~ ot N 1 00 1300= 130 M 130 (20 6O = N On a school trip, there are 11 boys, 13 girls, and 5 adults. What is the ratio of boys to girls? Students to adults? bou‘b “n 5ir\s- e 3 students o adulle- 34 :5 In one locker, 5 out of 6 mitts are baseball mitts. Ho 42 In another locker, 7 out of 8 mitts are baseball mitts. S < ~ l Both lockers contain the same number of mitts. o 38 Which locker has more baseball mitts? compore s Fr achons Qb' “Piox GQLDDC‘ lod<€.r Cross mulk P(%”\‘g\ OF[O"QCAQ, PUCU\‘\S %ON\ | & ‘G‘QQHO(\5> In one apple drink, the ratio of apple juice to water is 5:3. oS 5 &\ In another apple drink, the ratio of apple juice to water is 7:5. e 1 Which drink has higher apple juice content? 2 S The F{r6Jr GPP\Q Ju\"c,e hog an; \NS‘W&F Coj\Cefi*\'er{on og QPP(QJUUCQ, CLB Math 8 Cumulative Review Package
24. Sadiq types 110 words in 2 min. What is his unit rate of typing? /'f}f"“ o, o . 55 wwc}fi/m(hw¥e 2 \ s 25. Trenton can type 350 words in 5 min. At this rate, how long will it take him to type an essay of 490 words? wads 230 uao 350n = 4a0x5 i, o) n 350N = 4450 ~n=" minute s 350 A0 26. Car Atravels 496 km in 8 h. Car B travels 441 km in 7 h. Which car has the greater speed? Explain. o - 0z bike), Y0 (-63km]hn e | L Car B bas +he %recc\’er 5P%C&/V\ow. 27. Two stores sell the same model of a stereo with an original price of $573. Store A offers a 16% discount and Store B sells the stereo for $458.40. Which store gives the bigger percent discount? Justify your answer. 57345, 4o Otore 31 s %3 g4x573= (00n Stre® N . 4o 14-60x160= 5130 A h i %fi H.,gioo o 460 =573n loo | e 5‘13"5’1: N Store B ig cheaper 573 arger discant —w JoTo= n o 28. A bag contains red, green, and blue balls in the ratio 8:6: a) If there are 32 red balls, how many green balls and blue balls are in the bag? Show your work. red ¢ qreen ; blue : e rean- dr it 2T gresh -y :2‘1528 ,’{Bklu& b) What is the percent of red balls in the bag? Show your work. {;eo‘ ii_[‘_ 13870 all 21 10D CLB Math 8 Cumulative Review Package
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Chapter 3 Square Roots & the Pythagorean Theorem 1. Which of these numbers is not a perfect square: 121, 2, 100, or 4? a. 27 and 28 b. 110 and 112 c. 100 and 121 a. 121 2 c. 100 d. 4 x| I0X10 2X 2 2. Which of these numbers is a square number: 14, 49, 98, or 56? a. 14 49 c. 98 d. 56 C J@ =1 3. What is the side length of a square with area 25 cm?? 05'5 5cm b. 12.5cm c. 6.25cm d. 20cm 7 3 4. Which 2 consecutive square numbers is 54 between? flq 4 ‘)_b/"\ a. 53andss b. 28 and 32 (9) a9andea d. 12and 16 ( \ 5. Find the sum of + 92, Qf%‘b’ o Axqr3) a. 52 b. 169 @ 97 d. 72 Find -f-..,l'l 25w 25 m—é— 25 b. 5 c. 625 d. 156.25 = IOX10 = loo - Between which 2 consecutive whole numbers is ~/111? HX () = 12 10and 11 Find the approximate side length of a square with area 27 cm?. Give your answer to 1 decimal place. a. 13.5cm b. 6.8cm . Find the length of the hypotenuse. % 0 i,bv\ Cb 8m h 0 N\ 6m - (/: 2bm a. 9m @ 52cm 12 m CLB Math 8 Cumulative Review Package d. 3.7cm 3 J271 Jas=s r&al&el' ("{MnS ok
10. Find the length of the leg labelled r. 11. 12. 13; 14. 15; 35 4r°=31° . arm 1225+ 1% = 12649 r*= 13p3-1aas M= 4y ' r=ohaq = 1&m a. 39m b. 38m @ 12m d. 24m The area of a square is 149 m. Find its side length. A= s” 144 = 8% O = 12:2m Find ~/45. =1 Is 5 greater than, less than, or equalto ~/32? ExS<)3s 515 less +Hhan pr— What whole number is -/ 75 closest to? )ed=8 t (s dosest 45 G 031 -9 Square A has area 10 cm®. Square B has area double that of square A. What is the side length of square B? Give your answer to the nearest centimetre. QOCMZ for Siuwe/B 040 = 4.4 em CLB Math 8 Cumulative Review Package
16. Kalsa wants to determine if her garden is a rectan gle. The garden has side lengths 24 m and 10 m and diagonal length 26 m. Determine whether the ga rden is a rectangle. a“ L% = 2 L }wm 3 \I,D’ 0%+ 247 = 2(01 \,{cé TS e —_— 100+ 576 = 11y, rectongle o bl = LlL becan o . 2 attl™=0C 17. A boat sails due south from a port at a steady speed of 9 km/h. The wind blows the boat due west at a speed of 3 km Give your answer to 1 decimal place. QL-\/‘mz: S A Q4 - 31+9 = QW= ¢ Yo=c A3 Km=(C 18. Aline segment joins poigzts P(-1,-7) and Q(7, 3). Determine the length of PQ to 1 decimal place. 2 2 2z a 4+ b =c \0 814102: i A /h. How far is the boat from the port after 1 h? The bood is A4.5Km 2 c;_ Frorn po‘"\—‘ 2. . c= 2. Chapter 5 Surface Area & Chapter 7- Volume Formulas : A=mr?> A=BXH A:bz—h c=2nr d=2r 1. Thisis an incomplefte net fora triangular prism. What shapes must you add to complete this net? | a. 3squares { @ 1 triangle and 2 c. 1triangleand 3 d. 3triangles T Tsquares squares CLB Math 8 Cumulative Review Package
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2. Which diagram is the net for a square pyramid? Net A Net B *P\_’FQW\|G:) Comne, +o O‘-“' P D( r\v‘xf' Net C Net D Net A b. NetB c. NetC d. 3. Name the polyhedron that can be formed from this net. Net D 4cm 6 cm ch. > a. Triangular prism c. Rectangular prism b. Square pyramidd. @ Rectangular pyramid 4. The Drama Club plans to paint the outside walls of this box to be used as a second level to their stage. Find the surface area of the box. TEF*JBc“owW 1B3xIx2 = 182 " Lmafildes (3 xyyz = ‘04 o B E nds , Y Twdxz = 26 a. 48m’ (b) 342m? c. 364m’ d. 171 m’ CLB Math 8 Cumulative Review Package
5. Use the net to find the surface area of the right triangular prism ) 3 5 13y }sm . @ 12X15= |30 12m . _— @ [3)(\6: \qg 15 m B 5x5° 18 D.Sxob x1 [ 12m[\13m 0.5% 5 ¥\1x2 = (o0 5m 15 m 5m a. 90m?’ b. 585m? @510m2 d. 2340 2 6. Find the surface area of this cylinder to the nearest square metre. A = /[T(’l X 9\1 /NJ’( A X {(’\ e = 3Yx2%x3x A, 3-Hxlbxio . = Ho(, 92 #502.4 SA= %oY.3% \"f\,L a. )-os6m* b. 704m’ c. 653m’ d. 452 m? Jo4 m* 7. Draw a net for a cube and label the faces A, B, C, D, E, and F. When the cube is made, face A should be opposite face F, face B should be opposite face E, and face C should be opposite face D. GEEE 8. Sketch a net for a closed cylinder. 9. This is the net of a right rectangular prism. The area of each face, in square centimeters, is given. What is the surface area of the prism? \ 0d0 p 2 s 54 ‘\/\PL ?acefi P 48 72 48 72 ‘9‘(5'45 + Q\C—‘Z\) + 2©8> 08 + 1ud + q, > 348 cm” CLB Math 8 Cumulative Review Package
10. Identify all the faces of this prism by labeling the front, back , top, bottom, left and right sides. Find the surface area of this right rectangular prism. &%uo % 2 10m TOP*_EOH’OM 6m 15x X2 1F0 15 m Lofi%%lc\es ISXI0X2 =200 nds (OXlOXZ =120 1% 2 SA= OO 11. Label all the faces of the prism. Calculate the surface area of this right triangular prism. Lyxw g Rotomn - 3x\A = 3 5\09& -~ 5)( (7\ - 0 Pack- Hxl2 = 48 12m 4m EDA(D: 03 olnx 2 0.5 (Ll)@@)-_ A SA: Sk MZ 12. Find the volume of this rectangular prism. 4cm = |74 x 7 XL+ \jO(,Uv‘/V\e’ 7 cm = 33(00‘\/\5 12 cm 13. Find the volume of this triangular prism. V. 05bh x 0.5 x7xS « | O 1S 2 A i 7m i " CLB Math 8 Cumulative Review Package
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14. Explain the relationship between the area of a rectangular prism net and the surface area of a rectangular prism. AA& W e afea of eacn ot of Ne & will Si\/e, \\ou e surfoce ofea of the prism. 15. Find the volume of this prism. Explain how you were able to calculate the volume. V= ofea of base x'n - (pgmz x Bem : \f\gmns Scm fem- 16. Find the curved surface area of this cylindrical tube. Use 1 = 314 and round your answer to the nearest square metre. 144 m ~ /l\r A l(‘\ - 1 ) - 2.4 x tox .Y _ 2 -+ b& 52.\lm 17. Label the faces of the right cylinder below, include the measurement s of the diameter and the height. Find the volume of a cylinder with diameter 8 cm and height 4 cm. Round your answer to the nearest cubic unit. B, A(ea of bose xhn /\\ljl'2 X \n - () ¢ 34 % x4 300, Qb QMB 18. Alarge slab of chocolate measures 32 cm by 72 cm by 3 cm. ] i\ a) What is the volume of chocolate slab? V= by Xx w & g X12x 3L 3 z LA\2 ow b) The chocolate slab is shared equally among 36 students. How much chocolate does each student get? L3253~ A2 cond CLB Math 8 Cumulati\Te Review Package
19. A paper cup has the shape of a perfect cylinder that is 6.9 cm tall and 3 cm across. 51»465 Find the area of paper needed to make the cup. b‘*&og‘ O)PA " Use 1 = 3.14 and give the answer to the nearest square centimetre. 9A=1Trr x T 2 9Az 3¥Y 1S + 3.4 x3x .9 = T1.oeS 4 (4,398 2 = 73.03 cmMm Chapter 6 Operations with Fractions 1. Multiply. ul— % 712 = _";_ - j(; = | ‘/b - | 2. Find = of 24. a. 3 b. 5 . 120 15 3. Write the multiplication equation represented by this diagram. 7 ? 24 Siuor'cs i all, L) b= 3 c 1.5 5 d. 2 10 5 38 7% a. 15 (b) 7 ¢ 5 d 4 17 E 24 5 5. Which product does NOT equal 7? Q S ()5 2 e b o1 . 35 42 d. 42 5~ " a q 55 25 56 1 1 . 6. The world’s largest ruby crystal measures 12 3 ctnox 11 P cmx 13- cm. Write the mixed numbers in these dimensions as improper fractions. a. 49 45 §7 @ 49 45 A7 fi £ TI_I X E 4— X, 4_ ¥ T b. &7 49 45 d. 67 43 45 020" 7 ERr CLB Math 8 Cumulative Review Package
.- = 7. Find this quotient. & - i —8 X j— - 2 ,. %y 14 b. 32 ¢ 1 d. 7 14 . ] 8. Steve’s home is 3 km from school. This is 3 the distance Mike’s home is from school. How far is Mike’s home from school? 9 5 —|~3 < 35X : 9 Km \ 9k b. 1k . . 2 m m . 3—1 km d 2= km 2 <) 5015 5 L 9. Find this quotient. 5 IT é‘; X %a’ ° 9 a. 4 7 C 7 d 2 7 ? 15 “15 10. Divide. fi + < 2 k.5 B " mg 1 35 a. 4 b. 7 DK d. 4 5 20 35 ~7 ¥ 11. Write 4~ asanimproper fraction. 58__?2_ 4] a. 14 b. 3 c. 33 (@) RN 1. _ i 2 . IH i V— . D - == = -_— N = < —— 12. Divide. 325 27 2 = S 5 14 b (5 c. 2 d. 15 6 3 | 14 3 1 . . . 13. Belinda gets li h for lunch. She spends = of her lunch time walking for exercise. How much time does Belinda spend waII;ing? ’15‘ of ( i L3 x :LL" = T—'i ° 2]—'2h g l%h @%h d %h 14. How much money is i of % of $840? Jg x 840 - A80 X_LS fjs(o.oo a. S112 b. $448 c. $210 d.) $56 CLB Math 8 Cumulative Review Package
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2 Z _ pbo©O Zn= B®© 15. Sally pays $600 per month for rent. This represents of her monthly salary = T = 3 s, (| What is Sally’s monthly salary? N fotal Sal a. $400 b. $1800 @ $900 d. $1200 ey - 0 2 i 453 Z 4. E+_ll=_3:_:>_—_k (2 16. Evaluate. 3 +;./.:::. T 2 Y 2 | 11 b 3 C ] d | 2]—2 4= I ’]—2 333 2 .5 |\-3- S_3_.2 o i e -— X = o = o = e Byiluste, Zsg—3 S 3 5 5 § a J @ 5 C 0 d 1 18. Write the multiplication equation represented by this number line. 3.4 . (2 _ 2 __ 3Bparks =X PR /5 /— \.//\'_——-\ (.)L t _' t t i t t t t 2# } t t = H '{'5 +o G,Clcjh POJ L.OEC\Q‘-’ | 3 b 19. Shade the rectangle to find this product. F 2—5 A RIS A ohad NN e AN Jwice \ 20. Multlply;///)::::::{ = \ 3 21. Ajuice bottle holds = L OfJUICe How many bottles can be filled from a tank containing 12 L of juice? \z—ii . l2x‘5 - 20 botiles can be Flled S . 2 22. Divide }—: by its reciprocal. Q._ - @ . _\_7: ‘i - \_L{i I3 "~ 12 12 13 19 CLB Math 8 CQmT;Iative Review Package
1 9 7% - | 23. It takes Rhonda 133 h to build a model. She worked on her model for 211 h each evening. How many evenings does it take her to finish her model? 27 = a 2 -4 4 1 : 1 . : : 24. Arlene ate and Eric ate = of a box of candies. What fraction of the box of candies was left? L 5 b L,s .4 15 caten so 4 s Lt 30 30 30 30 o 25. Kirsty completed 4? laps in 42 min during training. Assume that Kirsty ran at a steady speed. How long did she take for each lap? = 2l 26. Evaluate. —+ iii } ?‘i% :%-*'é/x& - L+l - 14»5,: LI 3 8 5 3 = g ¥ g |5 tid=t t+x+ = 4 Chapter 8 Integers -— ++- - +a\4€, +‘n<, "u'qi'{xfir mmsber + subtrack Mhe (owesr numloer, A I S . | i e models +1. This tile models —1. 8“’2’ sign of hghu’ nu e 1. Jon gave Alicia 5 sets of 10 (+1)-tiles. How many, and in what colour, are the tiles that Alicia received? a. 15 black tiles 50 black tiles c. 15 white tiles d. 50 white tiles 2. Find the product {+5) x {—%). Use a number line if necessary. -45 b. +45 c. +14 d. -4 CLB Math 8 Cumulative Review Package
3. Find the product (-7} « (+4). Use a number line if necessary. a. 28 -28 c. 3 d. 4. Find the productof -4 and -7. —4 y =7 a. -11 b. -28 @ +28 d. 5. Find the product of -10 and +3. —~10%x D + oy - - = O x (=5)=-30 +6 b. -6 c. 25 d. +25 7. Replace [] with an integer to make the equation true. x4 o+ (+30)x [J =150 +5 b. -5 c. -120 d. +120 8. Find this product. (- 141 x (+113 = B =35 b. -3 (c) -154 d. +154 9. Write the integer division modeled by this number line. (3; :5 +{l() +Iiw ré() »l’i *%(» a. (+30) - (+6) = +24 B, (+30) = (+5) = +25 b. (+30) = (+5)(+6) (+300 = (+5) = +6 10. Evaluate. 24 +4i-7) 24+ 723 a. 52 -4 o -19 d. 21 11. Evaluate. %+ (=71 - (-4} A+7T= 3 ="4H = g2 +¥4 6 b. -2 ¢ 12 d. 20 CLB Math 8 Cumulative Review Package
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12. 13- 14. 15. 16. 17. 18. . + Evaluate. (~f)[(-3) + 9] @ ( (03 a. 72 36 c. -72 d. 27 An arctic air current moved into the town of Iceville. The initial temperature was 29 degrees C. The cold air caused the temperature to fall 4 degrees C each hour. What was the temperature after 8 h? 49 - (4)(8) A8 —32 = 49+ 3L T Use the integers -18, +6, -3 to write 2 different division equations. -856="3 “18+-370b The water level in a pool dropped 80 mm each hour. The total drop in water level was 480 mm. How long did it take for the water level to change? 480 530 = b hours Evaluate. (5%) - (5)? 5 o K 9 "*O‘) S =0 Evaluate. - “T2:ZE3). -36(-3) . 108 . -8 ~6 b = [ Evaluate. [5 - 2(-8)] x [(-2)(~5) - 2] (s 718 | ES -23 ] (54180 x (8+7a3] A3 » 75 ol 1 15 CLB Math 8 Cumulative Review Package
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Chapter 9 - Linear Relations & Chapter 10 - Solving Linear Equations 1. Use this balance-scales model to solve for x. 2 & Nclates N o R da= 12 a. 9 b. 10 @ 6 d. -9 2. Ablack square represents -1 and a white rectangle represents the variable x. Find the value of x. [ Need o 5x= —10 1 ) |mmm B = L b O | mEmE s S Sign ‘o I | mEE z--a NG WL | a. -12 b. 72 . -8 d. 2 N /(\ 3. Solve this equation. 3x + 11 = 23 30 = I_E 2 3 a. 9 4 c. 11 d 4 3 .8 2 4. Solve this equation. 4y + 8 = 36 Hy= 28 v 4 a. 1 b. 3 (j ) 7 d. 24 72 .20 5. Solve this equation. 20— 3x = 14 -3 = ’_(5_ <= 2. —3 -z 2 b. -2 c. 3 d. -3 # Py +7 6. Solve this equation. %—‘?= 16 t 23 =74 ‘I@QA “‘0 -2 e () “H g a. 46 b. =25 c. 30 d. 21 5I3n%o ONSWRS 7. Which statement is correct? i) “3-x+4)=3x+12 i) -3-x+d)=-3x-12 i) =3-x+41=-3x+ 12 iv) —3(-x+4)=3x-12 8, il b. i & i iv CLBWath 8 Cumulative Review Package
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8. The price of an electronic puzzle was reduced by $7. Tio e A’-T= Mr. Murray bought 10 puzzles for his relatives. The total cost before taxes was $130. ok = ol O, What was the original price of the puzzle? a. S$7.65 @ $20.00 c. $6.00 d. $127.00 : . 40 Ty . 1+ doc+ [0 = \O 9. Solve this equation: 4 + 2{x + 51 = 10 Y - - -~ : s 2zt z10 ax=T4 oo TR > =1 a. 10 @ =2 G d -4 3 2 A + 10. The ordered pair ( , 5) is in the linear relation with equation y = Zx— 4. 5=3x-4 Find the missing number in the ordered pair. 9 -3=x o 3 (> 3 b. 1 ¢ 6 d. -6 e 3 11. Describe the relationship between the variables x and y in this graph. Graph of y=-2x+ 12 a. When x increases by 1, y decreases by 12. When x increases by 1, y decreases by 2. ¢. When xincreases by 1, y increases by 2. d. When x increases by 2, y increases by 12. 12. Which relations have graphs that are lines going up to the right? I) yE= Sx+3 (\ '2) 7\ 1) i) y=5x+3 \,8) Z,13) i) y= —__:-,-1 -3 , g) Z; —I3> iv) y=>5x-13 h2) (z,7) il and iv b. iandiii c. i d. i, ii,andiv CLB Math 8 Cumulative Review Package
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4 4 13. Solve this equation. —5x + 4 = 34 -5x1= 30 -5 -5 L= 14. Verify that 5 is a solution of this equation: fy—7 L(BY-1=a2 20-T1:= a3 4333 baanced o) e 5\1 23 Explain your method. 15. Sean paid $81 to rent a boat to go fishing. The rental rate ;//as $25 plus $8 peghOLsr. For how many hours did Sean rent the boat? Write an equation, then solve the problem. ’6 ’6 16. Solve this equation. * +3=16 3 ¥ ¥ A E = l3 + = |O'+ % 5] 2 17. Solve this equation. =%+ & = & i s Fu il = 4= 35 25 o 15+ 8 =8I 8x= S6 8 '3 L= 1 bours 18. The perimeter of a rectangle is 46 cm. The rectangle has length 13 cm. Write an equation to find the width, w, that involves the distributive property. Solve the equation. 1A (|5+w): ¢ A(R)+3aw=H4Hb dot+aw =di AW = 3o w = 1O 19. This hexagon has a perimeter of 52 cm. What is the length of the side marked a? 6cm o)) a ) atat 9+ +c+=52 A(a+18) =52 b) Solve the equation and answer the question. do + 20=52 Aa = & Y a a = lem Write an equation to find the length of side a that involves the distributive property. la+ 3052 Aoz A = CLB Math 8 Cumulative Review Pack&te ,_ML\LID_‘*
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20. The price of a medium pizza is $15, plus $3 for each topping. An equation for this relation is = where t represents the number of toppings and c represents the cost of the pizza in dollars. a) Complete this table of values for the relation. Number of Toppings, t 0 2 4 6 8 Cost, c ($) S A1 &7 | 33|39 b) Find the cost of a pizza with 8 toppings. Cs 15+ 3(8) = (5 tad4 :&5(? 00O 21. Carmel used the distributive property to solve this equation: 4(-x+ 3) = 1% Here’s her work. B N she did ot L{(~7c+3>:)q 2 . - =/ . ~—. —~ 4i-x+3)= 19 \_\1 ku\ T —4x+3;:|=/1'9-/ qua “Yoc + (1219 _47+|__I—11;I_l ..L{OC: q —4x =18 - x=-4 & = -fi a) Check Carmel’s work. Is her solution correct? L= = l ?/4 No b) If your answer is yes, verify the solution. If your answer is no, describe the error, then correct it Chapter 12 - Tessellations 1. An object is made using 3 linking cubes. The diagram shows 2 views of the object. Draw the right side view of the object. Front view Top view 1] ‘0 °8 ‘B 4 CLB Math 8 Cumulative Review Package
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2. This object is made using linking cubes. Draw the top view of this object. Right Front . == O 3. This object is built using 4 linking cubes. The object is rotated vertically 90 degrees clockwise about the axis shown. Draw the right side view of the object after the rotation. Axis of rotation Front view Right side view b‘ T 4. This object is built using 7 linking cubes. The object is rotated vertically 900 away from you about the axis shown. Right side view | / Front view Axis of rotation Which view is the front view of the object after the rotation? R View L View M View N
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View K b. View L c. ViewM 5. These are views of an object built using linking cubes. Sketch the object. a. ne’ Top view L T ] J 55 Left side view Front view Right side view | | fi O TTL ar 17 6. These are views of an object built using linking cubes. Sketch the object. Top view & Leftside view Frontview Right side view C. L d. View N CLB Math 8 Cumulative Review Package
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7. Triangle OQS is a transformation image of Triangle WKV. Describe the transformation. @ Translation 4 units right and 2 units down b. Translation 2 units right and 4 units down €. 180 degree rotation about O d. 90 degree clockwise rotation about O 8. Name the image of Triangle VOT after a rotation of 1802 about O. W Vv T K 5 S . P Q R a. Triangle WKV c. Triangle RSQ b. Triangle SOT Triangle QOP 9. Triangle MOL is a transformation image of Triangle PON. Describe the transformation. ‘R P . . // . /V/I/. S eI N K M- a. Reflection in the line SN @ 90 degree clockwise rotation about O b. Reflection in the line RM 90 degree counterclockwise rotation about O CLB Math 8 Cumulative Review Package
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10. Triangle Q is the image of Triangle P after a combination of 2 transformations. Which combination of transformations will NOT transform Triangle P to Triangle Q? i) Translation and reflection- ii\Translation and rotation Reflection and rotation iv) Reflection and reflection » a. i b. i c. i d. iv 11. What shapes in this diagram can be obtained by a rotation of Shape X? S H ] a. PandS c. P,Q,S,andT Q,S,andT d. P,QR,S andT 12. This object is made using 7 linking cubes. Sketch the top, front, and right side views of the object. H=ER FRONT ToP 5(0€ Front 13. This object is built using 5 linking cubes. The object is rotated vertically 90 degrees clockwise about the horizontal axis shown. Front view L Axis of rotation Left side view Draw the top, left side, and front views of the rotated object. LEFT ToP FRoNT SIOF— | ,E | l/g 7,,,&:1 L.l }:I CLB Math 8 Cumulative Review Package
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14. This rectangular prism is given a horizontal rotation of 90 de grees clockwise about the vertical axis shown. Draw the top, left side, front, and right side views of the rot ated prism. Label the dimensions. Fot Top Lsde Rside 3cm D:l _\‘:j l::[ I:X _—"4cm it Front view Axis of rotation 15. These are the top, front, and right side views of an object built using linking cubes. Sketch a 3-D picture of the object. Top view Front view Right side view —H J 7 16. Use this diagram to identify each transformation. - - . Linek / s A @ s l : . v B 'Lin.elj /. a) Shape D is the image of Shape B. /"@r//ec% oN b) Shape D is the image of Shape A. /‘6/7.@(‘74()/) + fa?l'pc‘féb/) ¢) Shape D is the image of Shape C. e /‘/4. = ‘/'r an CLB Me;th 8 Cumulative Review Package
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17. a) Draw the image of Shape A after each transformation. i) Shape B is the image after a reflection in Line |. ii) Shape Cis the image after a rotation of 908 clockwise about point O. iii) Shape D is the image after a rotation of 180Fabout point O. b) Describe a single transformation that will transform Shape D to Shape C. qoo couster cj‘xOc,\".cpig,e, cotati e alsoot poifi* Q. 18. Draw the 4th tile in this tessellation. CLB Math 8 Cumulative Review Package
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19. In this tessellation, Shape A is the original shape. 8|V 6 4 2 P 0 2 4 6 8 x Describe possible transformations of Shape A that will produce: a) ShapeP reflech om b) Shape Q fo‘(’ajr{ oN c) ShapeR \-\—rmfi\mlfi oNn CLB Math 8 Cumulative Review Package
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