equations and inequalities - wikispaces · pdf filequestion 1 solve the following equations a...

Mathletics Instant

Workbooks

Copyright ©

Mathletics Instant

Workbooks

Mathletics Instant

Workbooks

Equations and Inequalities

x + 2 > 5x + 5 = 63

Teacher Book - Series K-1

Total marks achieved for PART A 15

Equations and inequalitiesTopic Test PART A

Marks

iiEquations and Inequalities

Mathletics Instant Workbooks – Series K Copyright © 3P Learning

TOPIC TEST PART AEquations and inequalitiesTime allowed: 15 minutes Total marks = 15

1 If 2x – 3 = 17 then x equals.�A 7 �B 10 �C 14 �D 20

2 If m3 – 2 = 4 then m equals.

�A 2 �B 6 �C 14 �D 18

3 If 5x – 3 = 60, what is the value of x?�A 12 �B 57 �C 63 �D 63

54 If 4(3m – 5) = 6m – 14 then m equals:

�A 2 �B 1 �C –2 �D –1

5 Solve for x, 2x – 5 = 23.�A 8 �B 9 �C 14 �D 28

6 4(x – 2) – 3(x – 1) = 0.�A –5 �B 5 �C –11 �D 11

7 Solve 5(x – 1) – 1 = 24.�A 5 �B 6 �C 10 �D 26

8 If 12x – 4 = 8, then x is equal to:�A 1

3 �B 23 �C 1 �D –1

9 Solve x – 25 = 4.

�A 6 �B 20 �C 22 �D 30

10 When 2(a + 3) = 10, the value of a is:�A 2 �B 5 �C 7 �D 8

11 Three more than twice the number equals the number plus 7. What is the number?�A 2 �B 4 �C 5 �D 10

12 Find the value of x in the quadratic equation 3x2 – 75 = 0.�A �3 �B �25 �C �5 �D �75

13 Given that P = 2L + 2B, find L when P = 50 and B = 15.�A 10 �B 20 �C 25 �D 30

14 What is the solution of x + 32 � 8?

�A x � 16 �B x � 13 �C x � 16 �D x � 13

15 The solution of x + 5 < 4 is:�A x < 1 �B x > 1 �C x < –1 �D x > –1

Total marks for PART A 15

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

ANSWERS

page 153

62 EXCEL ESSENTIAL SKILLS: YEAR 10 MATHEMATICS REVISION AND EXAM WORKBOOK 1

TOPIC TEST PART AEquations and inequalitiesTime allowed: 15 minutes Total marks = 15

1 If 2x – 3 = 17 then x equals.�A 7 �B 10 �C 14 �D 20

2 If m3 – 2 = 4 then m equals.

�A 2 �B 6 �C 14 �D 18

3 If 5x – 3 = 60, what is the value of x?�A 12 �B 57 �C 63 �D 63

54 If 4(3m – 5) = 6m – 14 then m equals:

�A 2 �B 1 �C –2 �D –1

5 Solve for x, 2x – 5 = 23.�A 8 �B 9 �C 14 �D 28

6 4(x – 2) – 3(x – 1) = 0.�A –5 �B 5 �C –11 �D 11

7 Solve 5(x – 1) – 1 = 24.�A 5 �B 6 �C 10 �D 26

8 If 12x – 4 = 8, then x is equal to:�A 1

3 �B 23 �C 1 �D –1

9 Solve x – 25 = 4.

�A 6 �B 20 �C 22 �D 30

10 When 2(a + 3) = 10, the value of a is:�A 2 �B 5 �C 7 �D 8

11 Three more than twice the number equals the number plus 7. What is the number?�A 2 �B 4 �C 5 �D 10

12 Find the value of x in the quadratic equation 3x2 – 75 = 0.�A �3 �B �25 �C �5 �D �75

13 Given that P = 2L + 2B, find L when P = 50 and B = 15.�A 10 �B 20 �C 25 �D 30

14 What is the solution of x + 32 � 8?

�A x � 16 �B x � 13 �C x � 16 �D x � 13

15 The solution of x + 5 < 4 is:�A x < 1 �B x > 1 �C x < –1 �D x > –1

Total marks for PART A 15

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

ANSWERS

page 153


Time allowed: 15 minutes Total marks = 15

Equations and inequalitiesTopic Test PART B

iiiEquations and Inequalities


Time allowed: 15 minutes Total marks = 15

Answers

TOPIC TEST PART BEquations and inequalitiesTime allowed: 15 minutes Total marks = 15

Question 1 Solve the following equationsa x – 11 = 24 ___________________________b y

8 = –9 ___________________________c m

2 – 8 = 16 ___________________________d 5p – 7 = 4p + 8 ___________________________e 5(3x – 2) = 3(2x – 10) ___________________________

Question 2 Solvea 8x – 5

3 = –2 ___________________________b m

5 – m3 = 6 ___________________________

c 15 more than 4 times a number equals the number plus 45.What is the number? ___________________________

d Solve leaving your answer in exact form. 4x2 – 12 = 0 ___________________________e Given that S = n

2(a + l), find S when n = 20, a = 6, l = 240. ___________________________

Question 3 Solve the following and graph on the numberline provided.a x + 3 � 10 _______________________________________

________________________________________________b 3(x + 2) � 5 _____________________________________

________________________________________________

c 4m – 3(m + 2) � 9 ________________________________________________________________________________

d 4x9 < 5 – x _______________________________________________________________________________________

e 20 � 3x – 74 ______________________________________

________________________________________________

Total marks for PART B 15

11111

11

111

1

1

1

1

1

ANSWERS

page 153

Chapter 5: Equations and inequalities 63

Answers Marks



8 = –9 ___________________________c m

2 – 8 = 16 ___________________________d 5p – 7 = 4p + 8 ___________________________e 5(3x – 2) = 3(2x – 10) ___________________________


3 = –2 ___________________________b m

5 – m3 = 6 ___________________________



2(a + l), find S when n = 20, a = 6, l = 240. ___________________________


________________________________________________b 3(x + 2) � 5 _____________________________________

________________________________________________

c 4m – 3(m + 2) � 9 ________________________________________________________________________________

d 4x9 < 5 – x _______________________________________________________________________________________

e 20 � 3x – 74 ______________________________________

________________________________________________


11111

11

111

1

1

1

1

1

ANSWERS

page 153


Answers Marks



8 = –9 ___________________________c m

2 – 8 = 16 ___________________________d 5p – 7 = 4p + 8 ___________________________e 5(3x – 2) = 3(2x – 10) ___________________________


3 = –2 ___________________________b m

5 – m3 = 6 ___________________________



2(a + l), find S when n = 20, a = 6, l = 240. ___________________________


________________________________________________b 3(x + 2) � 5 _____________________________________

________________________________________________

c 4m – 3(m + 2) � 9 ________________________________________________________________________________

d 4x9 < 5 – x _______________________________________________________________________________________

e 20 � 3x – 74 ______________________________________

________________________________________________


11111

11

111

1

1

1

1

1

ANSWERS

page 153


Answers Marks

Total marks achieved for PART B 15

Marks

Answers – Equations and inequalities

ivEquations and Inequalities


AnswersPage 53 1 a x = 11

3 b a = 125 c y = 33

4 d y = 9 e p = –24 f m = 21 g a = 30 h m = 1012 i x = 101

2 2 a x = –417 b x = –6 c m = 3

d x = 9 e x = 935 f x = 2 g x = 1

10 h x = 611 i x = 2 j a = 111

5 k k = 51 l m = 30Page 54 1 a a = 102

7 b x = –30 c x = 40 d a = 128 e y = 27 f t = 517 g y = 80 h p = 71

2 i x = 1019 2 a x = 3

31 b x = –1212

c m = –13 d t = –114 e x = 2 f m = 52

5 g m = 32223 h a = 42

5 i x = 35 j x = 560 k x = 15 l x = 11

12Page 55 1 a 5 b 20 c 17, 19, 21 d 10 e 6 cm, 18 cm 2 a 30°, 60°, 90° b 18 c 42 yearsd Melissa is 24 years, Steven is 12 years e $288Page 56 1 a x = �3 b x = �4 c x = �5 d x = �1 e x = �2 f x = �8 g x = �6 h x = �7 i x = �11 j x = �10 k x = �9l x = �13 2 a x = ��7 b x = ��6 c x = ��3 d x = �2��3 e x = 6��2 f x = ��87 g x = ��93 h x = ��43 i x = ��57 j x = ��5k x = �� l x = �� 3 a x = �2��2 b x = �3��2 c x = � 5

4 d x = �3 e x = ��5 f x = �6 g k = �32 h x = ��5 i x = ��6

4 a x = �4·80 b m = �7·28 c �5·39 d �4·36 e y = �2·41 f d = �1·46 g p = �2·68 h a = �1·50 i x = �3·16Page 57 1 a 209·6 b 40·5 c 25·5 d 53·8 e 50·2 f 78·5 g 64·2 h 147·5 i 115·2 2 a 23·7 b 40·1 c 37·8 d 55·3 e 57·5 f 55·6g 99·6 h 102·9 i 26·7 3 a 610 b 408 c 230 d 1780 e 1440 f 2280 g 4080 h 2832 i 625 4 a 201·1 b 615·8 c 706·9 d 4071·5e 1809·6 f 1134·1Page 58 1 a S = 463·25 b S = 366·32 2 a L = 42 b B = 45 3 a h = 14 b h = 3·82 4 a u = �1 b a = 13·125 5 a r = 57·3b r = 8·7 6 a u = 18 b t = 6 7 a P = 6929·1 b P = 6753·4Page 59 1 a x < 4 b x � –5 c x � 2 d x < 0 e –1 � x < 61

2 f –2 � x � 7 g x < 6 h x � –3 � x > 2 i 3 < x < 102 a b c

d e f

g h i

3 a x < 3 b a > 7 c y > 4

d y � 8 e x < 10 f n > 11

g x > 3 h m � 11 i x � 20

j m � 12 k x � –3 l a � –6

Page 60

1 a x � –112 b y < 31

2 c x > 213

d x � 423 e x � 2 f x < 31

6

g x > 115 h p > 2 i x � 21

3

2 a x � 313 b x > 6 c x � –2

7

d x < 79 e x � 3

4 f x � 3

g y � –6 h t < –4 i x � 59

Page 61

1 a a < 18 b x < –12 c x � 1212

d x < 535 e p � –21

2 f m � 12

g x � 2 h t > 2 i x > 22

2 a x > 13 b x � 171

2 c m < 13

d a � 1 e p � 30 f x < 223

103

112

2 400 3

0 5 –1 0 –5 0

–3 0 8 20 6 1 4

0 3

0 100 8

0 11

0 12

0 20

–6 0

0 7

0 3

0 423

0 313 0 6

0 59

0 2

0 13

0 1 0 30

0 1712

0 2 0 22

0 2

0 2

–3 0

0 11

0 4


112 0

0 18

0 535

0 1212

0 12

0 13

0 223

0 312

0 115

0 316

0 213

0 213

–27 0

–6 0

–212 0

–4 0

–12 0

790 3

40 30

Year 10 Answers.qxd:Year 10 Answers.qxd 14/1/09 10:30 AM Page 152

AnswersPage 30 1 a ��32 units b ��50 units c ��50 units d ��10 units e ��13 units f ��10 units 2 a 11·7 units b 6·4 units c 10·8 unitsd 10·0 units e 4·5 units f 1·4 units 3 a 41 b (15 + ��45) units 4 a 7 units b 4 units c 7 units d 4 units e ��65 units f ��65 unitsPage 31 1 a negative b positive c positive d negative 2 a –3

4 b 35 c 5

6 d 2 e 54 f –4

3 g 57 h 1 i –1

2Page 32 1 a –3

2 b 1 c –1 d 1 e 3 f 85 2 a 1 b –1 c 1 d 10

3 e –13 f 9

5 4 x = 5 6 (0, 1), (–1, –1) and (2, 5)Page 33 1 a 3x + 5y – 9 = 0 b 2x – y – 7 = 0 c 3x – y – 4 = 0 d 4x – 3y – 8 = 0 e 9x – y – 7 = 0 f 2x + y + 6 = 0g 9x – 7y – 5 = 0 h 4x – 13y + 18 = 0 i x – 5y + 10 = 0 2 a y = 6x – 10 b y = 2x + 8 c y = –2

3x + 13 d y = 1

2x + 2 e y = –5xf y = 9

4x – 3 g y = –x + 2 h y = 32x – 7

2 i y = 34x – 2 3 a m = 3, b = 1 b m = 9, b = –5 c m = –1, b = –3 d m = –4, b = 7

e m = 23, b = – 5 f m = 1

4, b = –2 4 a y = 3x + 2 b y = 9x – 3 c y = –x + 7 d y = 34x + 5 e y = –2

3x + 1 f y = –7x + 8 5 a y = 4x + 14b y = 2x – 9 c y = 1

2x + 92 d y = 2

3x + 223 e y = –1

3x + 173 f y = –3x + 8

Page 34 1 b yes 2 a yes b yes c yes d no e yes f no 3 a no b yes c yes d no e yes f no 4 a (0, –5) b (2, –1) c (3, 1)d (–2, –9) e (1, –3) f (5, 5) 5 a p = 3 b m = 1Page 35 1 C 2 B 3 C 4 C 5 C 6 D 7 C 8 B 9 A 10 C 11 B 12 D 13 C 14 D 15 BPage 36 1 a ��26 units b (1

2, 512) c –1

5 d x + 5y – 28 = 0 e y = –15x + 28

5 2 a 7·1 cm b 32 c ��80 units e (5, 7) 3 b (2, 5) c (6, –16)d (2, 2) e y = –2

3x + 6Page 37 1 a $2400 b $8100 c $4375 d $360 e $612 f $15 750 g $46 200 h $47 520 2 a $4875 b $5000 c 5 years d 7·25%e 8·5% 3 a $2800 b $10 800Page 38 1 a 4·233 years b 3·968 years 2 a 6·52% p.a. b 10% p.a. 3 a $4444.44 b $7625 4 a $3000 b $7107.48 c $6720d 4·45% p.a. e 4·579 years 5 a $1125 b $1350 c $288.46 d $2400 � d generates the greatest simple interestPage 39 1 b is the best buy 2 a 300 mL for $1 b 775 g for $12.40 c 200 teabags for $6.20 d 1·125 L of soft drink for $1.70e 5 L can of paint for $85.75 3 500 teabags for $8.90 is the least expensive0 1 a $900 b $3600 c $1008 d $4608 e $192 2 a $162 b $582.75 c $2990.40 3 a $1510 b 10% 4 a $1 380 000b $25 200Page 41 1 a 0· �6% b 2% c 4% d 2· �6% 2 a 0·541 �6% b 0·8 �3% 3 a 2·25% b 1·5% 4 a 72 b 16 c 16 d 6 5 a 20 b 3% 6 a14% b 9·6% c 15% d 12·775%Page 42 1 a $3438.29 b $3149.72 c $7724.67 d $45 384.93 e $41 720.78 f $5720.65 2 a $15 861.08 b $36 405.78c $19 947.60 d $68 436.52 e $177 133.43Page 43 1 a $7129.86 b $7424.70 c $7811.98 d $5504.50 e $5224.69 f $4371.09 2 a $15 861.08 b $36 405.78 c $19 947.60d $68 436.52 e $177 133.43Page 44 1 a $12 750.40 b $22 076 c $20 529 2 $31 046.26Page 45 1 a $12 459.01 b $3478.44 c $1107.42 d $12 282.50 2 a $46 080 b $43 920 3 a 14961 b $29 524.50Page 46 1 C 2 D 3 A 4 D 5 B 6 B 7 D 8 A 9 C 10 B 11 D 12 A 13 B 14 B 15 BPage 47 1 a $11 712.80 b $3712.80 c 11·6025% d $945 e $67.69 2 a $1000 b $4000 c $1440 d $5440 e $226.67 3 a $8400b 5 years c $3477.60 d $1910.30 e $988 468.06Page 48 1 a x = 7 b a = 11 c n = 10 d y = 4 e n = 2 f k = 17 g a = 12 h t = 3 i x = 14 j m = 9 k p = 3 l y = 6 2 a a = 16b x = 28 c m = 28 d n = 11 e a = 28 f a = 7 g y = 3 h t = 1 i y = –3 j x = 28 k p = 16 l m = –10 3 a a = 16 b x = 14 c b = 5d k = 10 e n = 4 f a = 26 g m = 34 h t = 34 i y = 26 j x = 27 k a = 27 l x = 37 4 a x = 15 b n = 5 c m = 17 d y = 12 e x = 13f y = 16 g m = 14 h t = 8 i a = 4Page 49 1 a x = 3 b y = 6 c t = 3 d m = 18 e n = 16 f a = 20 g x = 5 h y = 10 i x = 27 j x = 28 k x = 22 l t = –6 2 a a = 8b a = 18 c x = 40 d x = 8 e m = 7 f t = 14 g y = 32 h x = –21 i x = 3 j d = –9 k x = 11 l t = 5 3 a x = 6 b y = –14 c m = –8d m = –9 e t = 4 f n = 7 g a = 11 h p = 48 i x = 14 j n = –70 k x = –24 l y = –56 4 a x = 54 b x = 5 c x = –12 d x = –2 e y = –5f m = 27 g y = 32 h a = –63 i x = 111

2 j y = 5 k x = 712 l m = –33

Page 50 1 a x = 2 b x = 5 c y = 3 d a = 5 e a = 5 f m = 10 g x = 23 h a = 20 i x = 7 2 a x = 8 b y = 3 c p = 3 d a = 33e a = 3 f a = 1

2 g x = 7 h x = 10 i x = 19 3 a y = 15 b y = 1 c x = 4 d t = 2 e m = 23 f x = 9 g y = 1 h y = 6 i x = 8 j x = 27k y = –5 l p = –1Page 51 1 a a = 10 b x = –7 c x = –10 d a = 2

3 e t = –15 f a = –1 g y = 4 h a = –4 i t = –1 2 a m = 23 b x = 15 c a = 14

3d x = 4 e a = 1 f x = –2 g x = 3 h m = 15 i x = –26 3 a x = –2 b a = 26 c x = –1 d x = 6 e y = –5 f y = 8 g y = 1 h y = 15i t = –45 j t = 0 k x = –7

3 l y = –5 m a = 10 n x = –3 o x = 12Page 52 1 a x = 3 b y = 4 c m = 6 d x = 3 e x = 41

2 f x = 3 g x = 5 h x = –3 i y = –6 2 a x = 412 b m = 11 c t = 3 d p = –3

e x = 1 f a = –32 g x = 3 h a = 14 i x = 43 3 a m = –427 b x = 18 c –1

9 d a = 13 e m = –13 f t = 112 g a = 3 h n = –19 i a = 21

2j x = 4 k y = 31 l a = –28

Answers 151


1

2

3

4

5

6

7

8

9

10

11

12

Answers – Equations and inequalities

vEquations and Inequalities


Answers3 1 a x = 11

3 b a = 125 c y = 33

4 d y = 9 e p = –24 f m = 21 g a = 30 h m = 1012 i x = 101

2 2 a x = –417 b x = –6 c m = 3

d x = 9 e x = 935 f x = 2 g x = 1

10 h x = 611 i x = 2 j a = 111

5 k k = 51 l m = 30Page 54 1 a a = 102

7 b x = –30 c x = 40 d a = 128 e y = 27 f t = 517 g y = 80 h p = 71

2 i x = 1019 2 a x = 3

31 b x = –1212

c m = –13 d t = –114 e x = 2 f m = 52

5 g m = 32223 h a = 42

5 i x = 35 j x = 560 k x = 15 l x = 11

12Page 55 1 a 5 b 20 c 17, 19, 21 d 10 e 6 cm, 18 cm 2 a 30°, 60°, 90° b 18 c 42 yearsd Melissa is 24 years, Steven is 12 years e $288Page 56 1 a x = �3 b x = �4 c x = �5 d x = �1 e x = �2 f x = �8 g x = �6 h x = �7 i x = �11 j x = �10 k x = �9l x = �13 2 a x = ��7 b x = ��6 c x = ��3 d x = �2��3 e x = 6��2 f x = ��87 g x = ��93 h x = ��43 i x = ��57 j x = ��5k x = �� l x = �� 3 a x = �2��2 b x = �3��2 c x = � 5

4 d x = �3 e x = ��5 f x = �6 g k = �32 h x = ��5 i x = ��6

4 a x = �4·80 b m = �7·28 c �5·39 d �4·36 e y = �2·41 f d = �1·46 g p = �2·68 h a = �1·50 i x = �3·16Page 57 1 a 209·6 b 40·5 c 25·5 d 53·8 e 50·2 f 78·5 g 64·2 h 147·5 i 115·2 2 a 23·7 b 40·1 c 37·8 d 55·3 e 57·5 f 55·6g 99·6 h 102·9 i 26·7 3 a 610 b 408 c 230 d 1780 e 1440 f 2280 g 4080 h 2832 i 625 4 a 201·1 b 615·8 c 706·9 d 4071·5e 1809·6 f 1134·1Page 58 1 a S = 463·25 b S = 366·32 2 a L = 42 b B = 45 3 a h = 14 b h = 3·82 4 a u = �1 b a = 13·125 5 a r = 57·3b r = 8·7 6 a u = 18 b t = 6 7 a P = 6929·1 b P = 6753·4Page 59 1 a x < 4 b x � –5 c x � 2 d x < 0 e –1 � x < 61

2 f –2 � x � 7 g x < 6 h x � –3 � x > 2 i 3 < x < 102 a b c

d e f

g h i

3 a x < 3 b a > 7 c y > 4

d y � 8 e x < 10 f n > 11

g x > 3 h m � 11 i x � 20

j m � 12 k x � –3 l a � –6

Page 60

1 a x � –112 b y < 31

2 c x > 213

d x � 423 e x � 2 f x < 31

6

g x > 115 h p > 2 i x � 21

3

2 a x � 313 b x > 6 c x � –2

7

d x < 79 e x � 3

4 f x � 3

g y � –6 h t < –4 i x � 59

Page 61

1 a a < 18 b x < –12 c x � 1212

d x < 535 e p � –21

2 f m � 12

g x � 2 h t > 2 i x > 22

2 a x > 13 b x � 171

2 c m < 13

d a � 1 e p � 30 f x < 223

103

112

2 400 3

0 5 –1 0 –5 0

–3 0 8 20 6 1 4

0 3

0 100 8

0 11

0 12

0 20

–6 0

0 7

0 3

0 423

0 313 0 6

0 59

0 2

0 13

0 1 0 30

0 1712

0 2 0 22

0 2

0 2

–3 0

0 11

0 4


112 0

0 18

0 535

0 1212

0 12

0 13

0 223

0 312

0 115

0 316

0 213

0 213

–27 0

–6 0

–212 0

–4 0

–12 0

790 3

40 30


AnswersPage 62 1 B 2 D 3 D 4 B 5 C 6 B 7 B 8 C 9 C 10 A 11 B 12 C 13 A 14 B 15 CPage 63 1 a x = 35 b y = –72 c m = 48 d p = 15 e x = –22

9 2 a x = –18 b m = –45 c x = 10 d x = ��3 e S = 2460

3 a x � 7 b x � –13 c m � 15

d x < 3 613 e x � 29

Page 64 1 a a = adj, b = opp, c = hyp b a = adj, b = hyp, c = opp c a = hyp, b = adj, c = opp d a = opp, b = adj, c = hype a = opp, b = hyp, c = adj f a = hyp, b = adj, c = opp 2 a a = adj, b = opp, c = hyp b d = adj, e = opp, f = hyp c g = opp, h = adj,i = hyp d j = opp, k = adj, l = hyp e m = opp, n = adj, o = hyp f p = opp, q = adj, r = hyp 3 a BC b EF c HI

Page 65 1 a sin � = ab, cos � = 21

b , tan � = a21 b sin � = y

18, cos � = x18, tan � = y

x c sin 30° = ab, cos 30° = 10

b , tan 30° = a10

d sin � = yz, cos � = xz, tan � = y

x e sin � = pr , cos � = qr , tan � = pq f sin � = bc, cos � = ac, tan � = ba 2 a sin � = 610, cos � = 6

10, tan � = 68

b sin � = 1215, cos � = 9

15, tan � = 129 c sin � = 12

13, cos � = 513, tan � = 12

5 d sin � = 725, cos � = 24

25, tan � = 724 e sin � = 3

5, cos � = 45, tan � = 3

4

f sin � = 1517, cos � = 8

17, tan � = 158 3 a ��10, sin � = 1 , cos � = 3 , tan � = 1 b ��13, sin � = 3 , cos � = 2 , tan � = 3

��10 ��10 3 ��13 ��13 2c ��39, sin � = 5

8, cos � = ��39, tan � = 58 ��39

Page 66 1 a 39° b 89° c 72° d 33° e 85° f 62° g 83° h 60° i 74° 2 a 83°25' b 89°34' c 63°28' d 54°38' e 51°46' f 54°17'g 27°16' h 41°45' i 30°46' 3 a 27° b 46° c 28° d 78° e 78° f 83° g 22° h 55° i 65° 4 a 47·48° b 72·19° c 54·38° d 64·86°e 59·27° f 83·27° g 32·91° h 35·57° i 15·58° 5 a 53°14'17" b 18°45'7" c 21°23'10" d 36°45'7" e 27°22'8" f 84°32'35"g 47°18'54" h 34°50'6" i 73°7'41" 6 a 24°46' b 57°21' c 54°28' d 32°50' e 63°14' f 62°46' g 81°8' h 20°51' i 73°8' 7 a 8·41°b 49·54° c 71·43° d 15·64° e 54·48° f 36·27° g 35·46° h 63·49° i 85·43°Page 67 1 a 0·848 b 0·839 c 0·788 d 0·139 e 0·866 f 1·376 g 1·963 h 0·087 i 0·946 2 a 0·882 b 2·53 c 0·770 d 6·34 e 0·592f 0·958 g 1·13 h 0·443 i 1·26 3 a 0·100 b 0·049 c 65·670 d 0·149 e 0·183 f 15·749 g 0·627 h 0·814 i 55·210 4 a 1·25 b 4·65c 0·119 d 40·8 e 51·5 f 0·0948 g 92·9 h 135 i 15·3 5 a 0·1415 b 0·0378 c 1·9921 d 0·5584 e 0·0476 f 4·6201 g 0·0361h 0·0819 i 11·4067 j 0·0460 k 0·0570 l 18·1859Page 68 1 a 35° b 56° c 74° d 34° e 70° f 46° g 54° h 20° i 56° 2 a 59°18' b 18°23' c 55°26' d 20°14' e 62°50' f 39°55'g 30°27' h 70°33' i 32°37' 3 a 33°47' b 64°52' c 27°11' d 52°45' e 76°21' f 72°16' g 58°3' h 49°55' i 50°32' 4 a 18°13' b 28°47'c 70°29' d 35°34' e 72°15' f 45°17' g 58°21' h 11°7' i 52°17' 5 a 0·2956 b 0·9729 c –0·5043Page 69 1 a 3·0 cm b 4·0 cm c 1·2 cm d 5·9 cm e 5·0 cm f 1·0 m 2 a 38·83 mm b 20·38 mm c 62·93 mm d 4·75 cme 4·80 cm f 7·35 cm 3 17·4 cm 4 11·4 cm 5 49 mPage 70 1 a 11·40 cm b 8·75 cm c 15·40 cm d 10·64 cm e 23·60 cm f 12·91 cm 2 a 85·2 mm b 201·8 mm c 38·9 mmd 278·1 mm e 26·2 mm f 538·3 mm 3 a 10·10 cm b 7·98 cm c 17·36 cm 4 8·40 cm 5 12 mPage 71 1 a � = 30°10' b � = 65°43' c � = 23°41' d � = 60°31' e � = 27°32' f � = 67°4' 2 a � = 57°9' b � = 36°36'c � = 58°50' 3 a � = 35°25' b � = 38°35' c � = 60°56' 4 � = 42°43' 5 l = 2·14 mPage 72 1 a 41 m b 1°14' c 11°39' 2 a 196 m b 44° c 119 mPage 73 1 a 90° b 180° c 45° d 671

2° e 45° f 6712° 2 a b c

3 a 210°, S30°W b 156°, S24°E c 290°, N70°W 4 301°T or N59°W 5 1928 m 6 7·07 n.milesPage 74 1 B 2 C 3 B 4 C 5 D 6 B 7 C 8 C 9 B 10 D 11 A 12 D 13 A 14 B 15 APage 75 1 a 2·32 b 89·7 c 14·5 d 7·39 e 6·02 2 a 41 cm b 9

41 c 4041 d 9

40 3 a 8·3 cm b 62° c 15·5 d 0·4695Page 76 1 a constant b constant c variable d variable e constant 2 a acceleration: independent, fuel consumed: dependentb hours: independent, getting marks: dependent c selling cans: independent, money made: dependent d adding chilli: independent,how hot: dependent e practice: independent, effect on performance: dependent f amount of baking powder: independent, height:dependent 3 a area on horizontal axis, cost on vertical axis b hours on horizontal axis, pay on vertical axis c number of people onhorizontal axis, production on vertical axis d hours on horizontal axis, distance on vertical axis e hours on horizontal axis, amount ofrain on vertical axis f number of people on horizontal axis, noise on vertical axis.

0 7

0 290 3 613

0 15–13 0

35° �

0

N

S

EW64° �

0

N

S

EW260°

0

N

S

EW

<

Answers 153


13

14

1615

equations and inequalities - wikispaces · pdf filequestion 1 solve the following equations a...

Documents