Dimensions Math Textbook 7A
Dimensions Math 7A ErrataSingapore Math Inc.80Page98Dimensions Math Textbook 7AUpdated 02/24/2020ErrorQuestion or Section(b)Class Activity 25. x should indicate the entire length for Rectangle F. The length ofrectangle D should not be labeled. (a) needs to be changed to findingthe length of rectangle D in terms of x and y.The expected answers are given below:Date Added3/14/20133/14/20135. Consider the following diagram:(a) Find the length of rectangle D in terms of x and y: x – y(b) Find the area of(i) rectangle D: 3(x – y) (ii) rectangle E: 3y (iii) rectangle F: 3x(c) Use the areas in question 5(b) to write the relationship:The area of rectangle D the difference between the areas ofrectangle F and rectangle E: 3(x – y) 3x – 3y101112RecallNutshell114Example 14(b)(–a b) should be –(a b)Under Distributive Law–(x y) –x – yAnswer cannot have more significant figures that those used in calculation.Speed 53 mi/h x 1.6 km/mi 85 km/hr (rounded to whole number)For first printing only, see answer key at the end with revised answers,corrections highlighted.219 - 19(a)(iii)3/21/201322422719(b)Chapter 6 Try It! 14231Ex 8.4, 2(c)231Ex 8.4, 2(e)231Ex 8.5, 2(b)104Same conversion factor as used in Example should be used, i.e. 1.6 km/mi, andanswer should be rounded to a whole number. The measurement has only 2significant figures.98 km/h (rounded to a whole 20184.8 cmDimensions Math Textbook 7A includes activities using The Geometer's Sketchpad, which is no longer available.We recommend using GoeGebra instead.1
Dimensions Math 7A ErrataSingapore Math Inc.Dimensions Math Workbook 7AUpdated 06/27/2018Error10Question or SectionChapter 2, 11(b)43 – 52 7/20Chapter 2, 23(d)Problem should be:111418Chapter 2, 28(b)Chapter 2, 42(a)Chapter 3, 2023Chapter 4, 15(h)25Chapter 4, 2229Chapter 5, 12(f)55565656565757575858Chapter 1, 14(b)(iii)Chapter 2, 5(a)(iii)Chapter 2, 5(a)(iv)Chapter 2, 5(b)Chapter 2, 7(f)Chapter 2, 13(b)(iv)Chapter 2, 20(f)Chapter 2, 20(g)Chapter 2, 33(a)Chapter 3, 6(f)59Chapter 3, 23(iii)606060616163Chapter 4, 5(d)Chapter 4, 11(c )Chapter 4, 18(d)(iii)Chapter 5, 4(e )Chapter 5, 11(f)Chapter 6, 17(a)64656565Chapter 7, 23(a)Chapter 8, 20(a)Chapter 8, 20(b)Chapter 8, 20(c)656666Chapter 8, 23(b)Chapter 8, 29(a)Chapter 8, 30(c )310Dimensions Math Workbook Solutions 7AUpdated 07/10/20Question or SectionError5 x 5 x 5 125Chapter 2, 14(b)(iii)Both the problem and solution: exponent 3Chapter 2, 23(c )8PagePage25 310 14 34 Date Added15 1212/18/20Renumber the parts. (i), (ii), (iii), and (iv)Clive wants to paint the walls of a rectangular room which are 5.26 m long.The amount of kinetic energy, E, in any moving object can be expressed by the formula: E (1/2)MV2Last year, Sheryl borrowed (6x 12y) books from the library. Murray borrowed 2/3 as manybooks as Sheryl and Lina borrowed 1/2 as many books as Murray.125211880-23/16 or -1 9/1610.00073/14p 2 q 2 mn-5(Sub‐part (b)(iv) should be (c)911328 3/4400 cm2, 8,000 cm3 8,5001262 cm1, 922 cm2ABC BAD 90 64 (remove sub‐parts)One of the solutions is x 20. (No sub‐part (d))13Chapter 2, 12(a)Both axes in the graph should have the same scale.13Chapter 2, 12(b)Isosceles triangle2
Dimensions Math 7A ErrataSingapore Math Inc.1421Chapter 2, 42(a)Chapter 4, 5(d)2223Chapter 4, 9(b)Chapter 4, 12(g)3539444748Chpater 5, 22(b)Chapter 6, 8(f)Chapter 6, 30Cahpter 7, 18(a)(ii)Chapter 7, 22(b)58Chapter 8, 26Problem: Clive wants to paint the walls of a rectangular room which are 5.26 m long.Solution: 10(6x 2 – 1/2 x 4) 60 x 2 – 5x 40; –5Second line of solution: (2y - 5 5y 7) / 3Solution: Last term should be –Solution: Distance Hendrick would have joggedSolution, last line: 736.56Solution: Assume the car overtakes the truck after 10:00.Solution: The concert is estimated to end at 10:05 P.M.Solution: (remove extra space)100(810 x)Question:(a)(b) (i)(ii)(c)B is cut off on lower left of diagram.Dimensions Math Teaching Notes and Solutions 7AUpdated 05/19/2017Date Added12/04/201350Question or SectionErrorEx. 1.5, 14(a)600 23 x 3 x 52A perfect square has an even number of each prime factor. Thus another 2 and3 is needed, or 2 x 3.(23 x 3 x 52) x 2 x 3 (22 x 3 x 5)2 600 x 6.(23 x 3 x 52 does not equal 23 x 3 x 52) x 2 x 3 as shown in the current solution.Remove the equal sign in thesecond line of the solution.)Ex. 1.5, 14(b)Again, remove the equal sign in the second line of the solution.A perfect square has a multiple of 3 for each prime factor. Thus another 5 andtwo more 3’s are needed, or 3 x 3 x 5.(23 x 3 x 52) x 3 x 3 x 5 (2 x 3 x 5)3 600 x 45.CA 4, 3Second table, column 1, row 4:–1 – (–4) 3Ex. 2.3, 6(d)– –7 – (–3) –7 3 –4Ex. 2.5, 5(a)In both the question and the solution:51Ex. 2.5, 8(a)Suggested answers:03/14/201364Ex. 3.1, 6(b)Final line of solution:03/13/201373Ex. 3.3, 17(b)Delete the second line of the solution. The answer should not be simplified;algebraic manipulations are in the next 304/01/201304/01/2013
Dimensions Math 7A ErrataSingapore Math Inc.73Ex. 3.3, 17(c )When x 75,Sum of the three students’ scores03/21/201374Ex. 3.3, 19(a)(iii)Total score in the game03/21/2013Answer does not need to be simplified further, since algebraic manipulationsare in the next chapter.When x 10,Total score in the game03/21/201374Ex. 3.3, 19(b)8989Ex. 4.3, 5Ex. 4.3, 5(b)Express each of the following as a single fraction in simplest form.04/23/201304/23/201389Ex. 4.3, 5(b)Under solutions, last step should be:04/23/201389Ex. 4.3, 5(h)The solution is correct, but does not use the LCM. This can lead to confusion, 04/23/2013since simplifying algebraic fractions is not covered, and all the examples in thechapter use LCM and thus do not require simplification at the final step since itinvolves factorizing, or additional discussion of distributive property. So thesteps should be changed to:1146.3 Try It! 14162Ex. 8.4, 2(c )Same conversion factor as used in Example should be used, i.e. 1.6 km/mi, and 05/19/2017answer should be rounded to a whole number. The measurement has only 2significant figures.61 mph x 1.6 km/mi 97.6 km/h98 km/h (rounded to a whole number)11/25/2013(i) right angled (m R 90 )(ii) scalene (The side given does not have to be between the 2 given angles.)162Ex. 8.4, 2(e)166Ex. 8.5, 2(b)11/25/2013(i) acute angled(ii) isosceles ((m R 65 )FH 4.9 cm(6.8 cm is length of EG)12/06/20134
Dimensions Math 7A ErrataSingapore Math Inc.167Ex. 8.5, 4(a)Problem in this book is different from one in textbook, which states that XY 12/06/2013YZ 4.5 cm. Change problem to read:Construct a quadrilateral XYZT in which XY YZ 4.5 cm, ZT 2 cm, XT 4 cm,and YT 5 cm.Change diagram so that distance for XY is labeled 4.5. Change first direction:1. Draw a line segment XY 4.5 cm long.(Or change problem in textbook)167Ex. 8.5, 4(b)For changes in 4(a) above:12/06/2013The revised answer key for the textbook with corrections highlighted is provided on the next page. This is for the first printingonly.5
AnswersChapter 1Factors and MultiplesTry It!1. 105: 1, 3, 5, 7, 15, 21, 35, 1052. (a) prime number(b) composite number3.58531955393585 3235313134. 2 3 33 3 135. 366. 227. 7 cm8. 6009. 1,93810. 41,58011. (a) 80 tooth contacts(b) big wheel: 4 revolutionssmall wheel: 5 revolutions12. 2213. 85 in.14. 1015. 14 cmExercise 1.11. (a) 1, 3, 5, 15(b) 1, 2, 4, 7, 14, 28(c) 1, 2, 4, 8, 16, 32(d) 1, 432. (a) 2, 4, 6, 8(b) 5, 10, 15, 20(c) 11, 22, 33, 44(d) 23, 46, 69, 923. not a factor of 2,3954. 2,816 is a multiple of 1115. 96, 144, 3046. 8, 16, 24, 48, 727. 9, 12, 24, 27, 36, 548. 9869. 51310. (a) 1, 2, 4, 7, 8, 14, 28, 56(b) 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84(c) 1, 2, 4, 7, 14, 2811. (a) 2, 4, 6, 8, 10, 12, 14, 16, 18, 20(b) 3, 6, 9, 12, 15, 18, 21, 24, 27, 30(c) 6, 12, 18(d) first 3 multiples of 612. (a) true(b) true(c) false13. (a) true(b) false14. 2016, 2020, 202415. (a) 6(b) 216. (a)(b)(c)7 groups of 5 or 5 groups of 76 ways7 groups of 11, each group with 5 U.S. and 6 overseasparticipantsExercise 1.21. (a)(c)2. (a)3. (a)(c)(e)(g)4. (a)(c)(e)5. (a)(c)6. (a)(c)(d)7. (a)(b) primeprimenot prime2 3 3325 3 333 3 522 3 3 3 1732 3 5 3 78372 3 92 3 11328948422 32 53 3 5 3 722 3 33 3 52(b)(b)(d)(f )(h)(b)(d)(f )(b)(d)(b)23 3 3223 3 132² 3 7222 3 32 3 723 3 32 3 53542 3 6253 132 371252,59223 3 7 3 114621543141127(b) Yes, the top number 2 3 3 3 7 3 11 462.8. (a) 22 3 32 3 5(b) 22 3 33 3 72233(c) 2 3 3 3 5(d) 22 3 323 54 3 119. 99710. (a) 25(b) 39(c) 113(d) 5611. 3 and 5, 5 and 7, 11 and 13, .12. (a) (i) 13 19(ii) 11 67(iii) 13 103(b) The statement is known as the Goldbach Conjuncture.No one can approve or disprove it.The statement is true to a large extent. Therefore, weshould agree.13. 528, 336, 24314. 3, 7, 13, 21, 49, 91, .Exercise 1.31. (a) 4(e) 12. (a) 7(e) 13. 24 cm4. (a) 40 cm5. 36 and 54 or6. 15, 21, 35(b)(f )(b)(f )915157018 and 90(c)(g)(c)211212(d) 18(h) 33(d) 22(b) 63AnswersDMCC7A Answer.indd 2192199/18/12 9:16 AM
7.Price ( )Number of model cars soldDay 1Day Review Exercise 11.2.3.4.5.70999(a)(a)(a) 33 3 37compositetrue(i)(b) composite(b) false1506255(ii)2560203Exercise 1.41. (a) 60(b) 84(c) 200(d)(e) 216(f) 300(g) 118(h)2. (a) 180(b) 2,730(c) 120(d)(e) 3,036(f ) 8193. (a) 23 3 35 3 5 3 72(b) 24 3 363 53 34. (a) GCF: 6(b) GCF: 7LCM: 90LCM: 70(c) GCF 3 LCM product of given numbers5. after 30 seconds6. (a) 336(b) John: 7Andrew: 67. (a) 140 mm(b) Science: 7Mathematics: 58. (a) 180 cm(b) rows: 4columns: 39. 8 and 3, 4 and 24, 2 and 24, 8 and 610. 21 and 630, 42 and 315, 105 and 126Exercise 1.51. (a) 6(b) 11(d) 16(e) 212. (a) 7(b) 8(d) 11(e) 163. (a) 52 3 7(b)4. (a) 2 3192(b)5. (a) GCF: 9(b)6. (a) LCM: 216(b)7. (a) 212 3 56(b)8. (a) 712 3 196(b)9. 84 in.10. 204 cm11. 12 mm12. (a) 22 cm(b)13. (a) 2, 5, and 8(b) (i) 8(ii)(c) Numbers are all even;sum of digits of each number14. (a) 6(b)(c)(f)(c)(f)23 3 11534 3 533626 3 5374 3 192736455420781426920264 cm18is a multiple of 34535422(b) 150 2 3 3 3 52(c) LCM: 30060 22 3 3 3 5GCF: 306. (a) GCF: 1(b) 360(c) 9,7207. (a) (i) 22 3 3(ii) 24 3 32(iii) 24 3 32 3 5 3 7(b) 4208. (a) (26 3 52 3 74) cm2(b) 1,960 cm9. (a) 39(b) 45(c) GCF: 310. 9:20 A.M.11. (a) 6(b) 512. (a) (i) 18 cm(ii) 770(b) (i) 9 cm(ii) 3,080Chapter 2Real NumbersTry It!1. airplane: 3,200 m; submarine: – 456 m2. (a)1–3.522–1–4 –3 –2 –1013. (a) 5(b)4. (a) 106, –13.4, –218(b) –13.4 , 106 , –218 5. (a) –11(b)6. (a) –60(b)7. (a) –13(b)8. (a) –20(b)(c) 16(d)9. 67 m below sea level10. –56 units11. (a) –96(b)12. (a) –913. (a) 56(b) 92113(b)12 , –1, –3.521823(c)(b) 15(c) –512120(d) –512220DMCC7A Answer.indd 2209/18/12 9:16 AM
14. –3215.16.7–31231–3617. (a)8313132(b) 14–1(c)–18. –19.13214. 9.5 , –12.3 , – 46 15. (a) –300, –50, 0, 210(b) –300 , 210 , 50 , 0 16. (a) 18, 0.7, – 4.2, – 42(b) 0.7 , – 4.2 , 18 , – 42 17.20. 0.62521. 0.6322. (a) 1,57423. (a) 37,254,00024. (a) 9.025. (a)–5(b) 1,570(b) 37,000,000(b) 9.048311(b) –5.2727(a) 2 lb(b) –3 lb(a) – 2,800(b) 1,65012 mph means 12 mph above the speed limit.5 C means a temperature rise of 5 C.5. A – 4, B –6. (a)0–1 0(b)2–3 –2 –101–4 –3 –2 –10–2.50–2.5 01–31 –3(b)–513. (a)(b)1201–1 12–5 –4 –3 –2 –11–1 –52 (b) (c) (e) (f )45(b) 8(c) –22,(b) ,(c) .(e) .(f) ,The hourly wage is decreased by 5.The elevator moves up by 2 levels.The bank account is 1 in debit.–2.7– 0.4–3 –2 –1(b)40 48. (a)(d)9. (a)10. (a)(d)11. (a)(b)(c)12. (a)31–4 –3 –2 –1015, 0.9, –32 (d) – 420.91523401/02/2012 3,000.00 3,000.0001/04/2012– 200.00 2,800.0001/11/2012 150.00 2,950.0001/23/2012– 400.00 2,550.001. (a) 3(b) –2(c) –2(d) – 4(e) –5(f) 32. (a) 12(b) –37(c) – 6(d) –32(e) –100(f) 663. (a) –50(b) 17(c) –123(d) 4,5604. (a) 0(b) 1(c) –27(d) –37(e) –21(f) 295. (a) – 4(b) –16(c) 14(d) –16. (a) 55(b) 2(c) –12(d) 157. (a) 16(b) –11(c) 0(d) –10(e) 08. (a) 210(b) – 2409. 5 miles North10. It still holds.Suggested Solution:If a – 4, b –5, then–a (–b) –(a b)– (– 4) (–(–5)) –(–4 – 5)9 9Exercise 2.31 1301–2.7, – 0.4, 131–3 2BalanceExercise 2.2417. (a)1,C 22Deposit/Withdrawal18. Churchill, Denver, Portland, Singapore19. (a) Sue(b) Rex20. (a) does not exist(b) 1(c) –1(d) does not exist21. (a) false; ‘0’ is neither positive nor negative.(b) true(c) trueExercise 2.11.2.3.4.Date561. (a)2. (a)(d)3. (a)4. (a)(d)5. (a)(c)6. b)(b)(e)(b)6–201420(b) –1(e) –13(c)(c)(f )(c)(b)(d)(b)(d)(f)–8(d) 335–176(d) –18(c) –8(f) 327621–4–14AnswersDMCC7A Answer.indd 2212219/18/12 9:16 AM
7. (a) (b) .8. 159 m9. (a) Tuesday10. –15 F11. (a) 2 A.M., May 5, 2012(b) 6 P.M., May 4, 2012(c).(b) Wednesday1. (a) –72(b) 20(c)(d) 51(e) 19(f)(g) 13(h) –19(i)( j) –642. (a) 18(b) –60(c)(d) 13(e) –15(f)(g) –36(h) 10(i)( j) 243. (a) –1(b) –16(c)(d) 44. (a) 1,300(b) 5,3005. 200 gain6. 1,500 m South7. (a) 15(b) –10(c) 1 correct, 4 unanswered(d) 3 incorrect, 1 correct, 1 unanswered1. (a)2. (a)3. (a)4. (a)(c)(e)(g)5. (a)(c)6. (a)(c)7.6108. (a)9. (a)(b)(c)10. (a)4(b) 81372– , –3,,412 3913(b) –47(c)(b)(c)–80(b) –1–60(d) 20(b)712(d)179,28 1431hours20(d)– 42–12144828–10025(d) 347311,,– , –5 8–1211. (a)(d)2. (a)(d)(g)0.75–1.188411232.24(b)(e)(b)(e)(h)3. (a)4. (a)(c)(e)0.06120.421875–0.0137(b) 0.750.916(j)–1.4(c) –0.2–0.583(f ) – 0.853,375(c) 7,7763.107232506 (f) 99– 0.714285714–4.75(b) 2.732150083(d) 0.76(f) –9.09375Exercise 2.71.2.3.4.5.6.7.8.9.10.(a) 13(b) 322(a) 7,300(b) 13,600(a) 23.7(b) 0.7(a) 10.75(b) 3.00(a) 0.040(b) 17.927(a) 3.0041(b) 8.4713(a) 377(b) 380(a) 14,348,907(b) 14,000,000(a) 0.5556(b) 0.9091(a) 2.667(b) – 0.982(c) –2.667(d) 1.15411. (a) 12,800(b) 13,00012. (a) 219 ft²(b) 220 ft²13. (a) 2.10 m(b) 2.104 m14. (a) 30 cm(b) 29.7 cm(c) 29.730 cm15. (a) 1.8 mm(b) Yes16. (a) nearest thousand, hundred, ten or whole number17. 9.957; 9.962Review Exercise 21. 81–221030(h) 1–53–4–7(b) 7–21–28– 42(f )(b)134–2112317– , –422Julia: 20 min, Katie: 24 min, Lisa: 25 minJulia: 30 loops, Katie: 25 loops, Lisa: 24 loops911Exercise 2.6(i)Exercise 2.4Exercise 2.5(d) .(b)17 35,22 442.3. (a)4. (a)–8 F68 m5. (a)4;(b) 2.6 F(b) 9,002 m4936(b)–3 –2 –1(c)76–2(i),02(–2) 21 76 234(ii) .222DMCC7A Answer.indd 2229/18/12 9:17 AM
6. (a)(b)7. (a)(b)(c)8. (a)Packet 1: 370 mLPacket 2: 387 mL2,247 mLAlexAlex: –8, Ben: 0, Charles: 9, Dave: –2Alex88(b) –729(c)–109. (a)19210. (a)11. (a)12. (a)(b)(c)(d)196(d)(b) – 4(c)–2527,120(b) 27,1001.44(b) 1.4Auckland and Los Angeles; 21(i) 16 hours(ii) 3 hours(i) behind of(ii) ahead of6 A.M., December 31, 20111. (a)12(b) 19(c)2. (a) 2,200(b) 2,800(c)3. (a)4. (a) 39de2(b) (5n 12m)(b) 20m3n(c)5. 3z2 3 3 z 3 z(3z)2 3z 3 3z 93z3z 9z2u(c d)(b) v3 –7. (a)–4(b) 08. (a)–2(b) 311.1114(b) p s 1422b–7(b) g b – 733fv 76 1 m 3 f 7 – 4 6 7. (a)5a(d)egf(g)15p3(j)u 5hours6 t 8 (b) 4b21 hours3 (c)18hk(f)(h) 20q2r(i)2v3whk 5(c)2t 3uv(a)(a)(a)(a)(b)(e)8. (a)(b) 1,100165 cm35 days(b) 200(b) 173 cm(b) 84 days(c)(c)(c)4. (a)57(b) 69(c) (3,600 – x)(h 5) cm7n days3s4n– 3mp(d) 7y2z(b)(b)(b)(b)13. (a)8(b)14. (a)15. (a) 16,400pq(b) (2,000 800n)(b) p(q – r)16. (a)(nL k) ft(b)17. (a)(c)18. (a)(c)20. (b)(x 5) years(b)(3x 4) years(d)100 points(b)[am b(m – 1)] points(i) 60n(ii) (2x 5y)(759p 400q) g (500 – k – d) [(n – 2)p]n–4m nL k m ft2(x 5) years(2x – 1) years(an bm) points1,440n751. (a)2(b)2. (a)3. (a)4. (a)5. 176. (a)23(b) 60(c)20(d) –2(e)7. (a)8. (a)9. (a)–162131564(f)(b)(b)(b)32551737(b)2011. 31. (a)2. (a)3. (a)2cdm3s t6 154,236 g 350 3310. (a)v 15m 41Exercise 3.11(e)13. (a)(b)14 ty23s m – 200 3 ab12. (a)14. (a)9 t(b) 54146. (a)(b) 2p 23Exercise 3.26. (a)9. 210 m10. (a) 5439.10.11.12.Chapter 3 Introduction to AlgebraTry It!5. (a)1812. 25013. (a)14. (a)15. (a)(b)16. (a)32012 120(b) hourly wage in dollars 75(b) 200 310 80 is the fee for each adult. 50 is the fee for each child.100 (b) 25 AnswersDMCC7A Answer.indd 2232239/18/12 9:17 AM
17. (a) 32(b) 8 increase3. E 18018. (a)12(b)4. y –26 ohms3Exercise 3.31.2.4.5.(w 10) ft (p – 6)m 4dx 3y6. s 7. (a)8. (a)(c)9. (a)10. (a)11. (a)3.1a10 3 k – 20 m(b) 25(b) q 50 – 3pa–7 3p 232t – 30(b) 80 minutes1y x 5143v w – 122(b) 261(b) 7512. (a)(c)13. (a)3x(b) 4x – 62nd number 27, 3rd number 30m 2p 2(b) m 28q 3p – 2q 3714. (a)d 0.5(c)Emily: 2.2 miles, Fred: 3.3 miles15. (a)a 16. (a)(b)33b, c b423r t29s t 18(b) 156Richard: 48 hr, Simon: 37 hr117 hr17. (a)Yan:Zoe: 2 3 x 18 – 45 5 219p 4(c 35)(b) p 256q c 35q 64 262.8019. (a)(i)(iii)1. (a)(c)2. (a)(c)15st u4a – b 22c5d – c23ab(ii) 11 cm(i) x y17(i) 4,000(b)(ii)2,500 300 ng(i)10. (a)(b)(i) (h – 3) years old4(h – 3) years old(c) 1 (h 3) 2 years old 3(d)11. (a)(b)(c)(d)12. (a)(b)(c)(ii)11x y23(ii) 6,100(ii) 43(ii) (h 3) years oldmother: 36 years old, sister: 7 years old (k 80) 25(k 80)T 2k 25(k 80) 80 3,403y 30 xz 2(30 x) – 1548 dimes, 81 quarters 25.951. (a)4t(c)0Algebraic Manipulation2c – 5d(a) 2ab – 3ac7a – 5b2p – 5q 9–y 7(a) 10x 35y(a) 4cx 6cy 9cz–8y 310. (a)4x511. (a)(b) 5320. Let x number of adults.\ total ticket sales [(75x 40(1,200 – x)]Review Exercise 38. (a)(b)9. (a)3.4.5.6.7.8.9. (c)18. (a)(c)4x 55(i)2. (a)8 x 2 3 x 18 – 275 5 3x 5(100 – a – 2b )cm4(b)Try It!3x 185 5. 5m 8n6. 167. (a) (100 – a – 2b) cmChapter 4(b)(c)(b)3(d 0.5)2187p98 x 116–12. 3(7a 6b)13. 7b(2y – 5z 1)14. (a) (3x 5y)(2a b)(b) (3a – 5c)(6z – 5)(b) –9bz2(b) 3ax – 9x (b) 5xy – xz1310(b) 12a – 14b(b) –12dm 24dn – 4dp(b)(b)9 – 5p2143x – 597015. (a – 3)(7x – 4)(b) m – 24m n2(d) 3x –(b)x32yb– 5ycExercise 4.11. (a)(b)2. (a)(b)terms : 3, constant : –1terms : 4, constant : 5x : 5, y : –2x : –1, y : 1224DMCC7A Answer.indd 2249/18/12 9:17 AM
3. (a)(d)(g)4. (a)9a–7d0–n – 1(b)(e)(h)(b)(d)5w(e)5. (a)6. (a)7. (a)1–x6a 3b – 3–3b3p–2m–k 153p– q6451x–ax – y8158. (5x 4y) units9. (a) 10p units10. (a) (12t – y) hr11.(c)(f)5c–7q(c)–3x 2y(f)(b) –1(b) –3(b) 5169t av32320(b) 120 units(b) 51 hr 113 2 d 4 km east12. 2p q – 613. Find the number of days in x weeks.14.x km, x – 4 km, x km, and (x 3) km22 Exercise 4.21. (a) 2a – 7(c) –2 7k2. (a) 8a 9(c) –10d – 6e(e) –9x 9y3. (a) 3p – 1(c) –6x 2y(e) –6w4. (a) 10h – 8k 4(c) 11x – 35. 5x y – 9z6. 4a 4b 6c7. 6b – 3c8. 9t 3u – 8v9. 3n 310. (8p 17q 16) g11. (a) (4x – 2y – 3) feet(b) 19 feet(b)(d)(b)(d)(f)(b)(d)(f)(b)– 4b c 5d–7m 96b cf – 1111t 16z2q2t 5u–8n – 5s–8m – 2n 29 3 15 135(b) 9n 729m(d) m n 8Sum of numbers is a multiple of 9.Sum of each diagonal is equal.Exercise 4.31. (a)(c)(e)(g)(i)2. (a)(c)(e)(g)6 3a10d – 30e–28 20n12r – 18s 24t4a – 12b – 16c7x 43–13–3pa – 9b(c)(e)4. (a)(c)(e)5. (a)(c)(e)(g)6. (a)(c)(e)x57x – 267x – 520(b)5 x – 1666 x 1720–28 x 11232(b)–(b)(d)(f )(h)( j)(b)(d)(f )(h)28b 20c–6g – 8h15p – 45q–5ax 3ay – 8az–10a 20b – 30c33a – 6b–7bv – 12b–2r 25s4x 18(d)(f)16 – 3 x81 – 2x35x 66(b) –13s – 9t(d) 3a 9b(f) 4p 8qa 33m 7n10y – 20z(d)(f)(h)t 56145 x – 161515 x – 818– y – 8530n 10(b) 2(n 10)2(n 10) – 4(d)2(n 10) – 4–n2(f )2(n 10) – 4287. (4a 2b) cm8. sales: n(x y)9. (a) 6(2m – 3) 5 12m – 13(b) 7110. (1) think of a number(2) add 9 to the number(3) multiply the sum by 3(4) subtract 6 from (3)(5) divide(4) by 3(6) subtract original number from (5)11. 56 3 101 56 3 (100 1) 5,600 56 5,656387 3 999 387 3 (1,000 – 1) 387,000 – 387 386,61312. (a) 3 12. (x y) cm, 2 x y cm2 53x cm, y cm213. (a)(c)(e)3. (a)(b)(c)n12345Total numberof matchsticks471013163n 1(6n 6) cmExercise 4.41. (a)(c)(e)(g)(i)2. (a)(c)(e)(g)3. (a)4. ax 3(2a b)(b)7(4
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