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7. £4. 9s. 7d. 10. 3 h. 347478' P.M. 12. 4 months.

8. 31 days. 9. £305.

11. 321 4311" past 2.

XVI.- PAGE 67. | 1. 15.

2. 3031 ft. 3. 1125 miles (take 8 kilom. = 5 miles). 4. £15,000. 5. 114 days. 6. 922 days. 7. 2s. 8d. 8. 52.5 m. 9. £154. 10. 88 horses. 11. 74 miles. 12. 12 days.

1. £70. 4. £4. 6s. 94fd. 7. 1111:. 10. £385.

XVII. PAGE 69.
2. £41. 6s. 24d.
5. £4. 4s.
8. £236. 11s. 8d.
11. 57 months.

3. £39. 8s. 4 d. 6. £21. 18s. 5d. 9. 383.. 12. 15s. 5}d.

XVIII.- PAGE 72. 1. £23. 38. 5.856d. 2. £49. 58. 6-84d. 3. £20. 3s. 10.149d. 4. £102. 178. 4•941d. 5. 10s. 9•6d.

6. £441. 2 fl. 1 c. 1.40 m. 7. £270. 12s. 1.929d. 8. £200 = (1.045)% 9. £231525.

10. £71. 1s. 11. £50{(1:05)3 + (1:05)2 + (1.05)} = £165. 10s. 14d. 12. £450 (1•04)??

XIX.- PAGE 75. 1. £12. 7s. 2•4d.

2. 3jad. 3. £4. 13s. 3.38d.

4. £4. 175. 11.66d. 5. £3. Os. 23407d. 6. £10. lls. 8.7d. 7. £5. 128. 6d.

8. £42. 10s. 9. £39. 78. 6.

10. £35. 11. £2212. 10s.

12. £326. 7s. 3; :d.

XX.–PAGE 77. 1. £690. 18s. 9d. . 2. £304. 14s. 8,7 d. 3. £5528. 10s. nearly. 4. £382. 10s. 10d. 5. £6911. 3s. 68. d. 6. £126. 14s. 10d, nearly. 7. £842. 12s. 6d.

8. £7768. 5s. 3 d. 9. £863. 7s. 6d, nearly. 10. £134. 11. £281. 5s..

12. 50,000 francs.

XXI.-PAGE 80. 1. £374. 11s. 10, d. 2. £1069. 10s. 11żd. nearly. 3. £1773. 14s. 6}d.

4. £393. 7s. 8 d. nearly. 5. £308.8693.

6. 20. 17. 12s. 10d.

8. £522:0411. 9. £217.7937.

10. £1000 = (1:05). 11. £23. 11s. nearly. 12. £369.8728.

XXII. - PAGE 82. 1. 5s. 5d. 2. 10s. 10d. 3. £1. 10s. 4. 6 to 5. 5. £48.

6. 47 gallons. 7. He loses 12} per cent.

8. £72,123. 128. 6d. 9. £2. 10. 27. - 11. £4. 5s. 12. 33.

MISCELLANEOUS EXAMPLES.—PAGE 85. 1. 10. - ..,

2. £3. 5s. 10d. 3. 721 lbs., 321 kilog. ' 4. 1.5 + 1.3, 1. 5. •0078125, 12 6 . 2933.73. : 7. 33.1, 3.236. 8. £2. 16s. Oįd., he lost 124 per cent. 9. 12. 10. 3, 6s., •04895. 11. 0, 4, 2500, 11'6. 12. £29. 6s. 7zd., £0. Is. 8/d. 13. *£8000 stock, £7530. 14. £.002, 34:3168.

15. 83.8967, 1.9387. 16. £51%, £111%, £1213. 17. •2036. 18. 240. 19. 4s. 7•4d. per ounce. 20. £1763. 1s.

21. £723, £3. 6s. 4d.
23. 5s., £1. 178. 6d.
25. £336, Wr:
27. £3375. 28. 6r.

22. £60, £40, £100.
24. £1. 1s. 5d, 11% 1.

26. 10406, 909.
29. 3. .. 30. 3000 days.

ALGEBRA-STAGE I.

1.—PAGE 149. 1. 8, 27, 6, - 16. 2. 6, 2, 4, 0. * 3. 5, 11, – 7. 4. 11, 16. 5. - 2, – 15. 6. 8. 1.. - 5, – 7. 8. – 11, 8. 9. 7, - 75. 10. 72, - 68. 11. – 2, - 3. 12. - 10, 32.

II.—PAGE 154. 1. 51, 6, 3.

3. - 513, – 65. 4. - 1224, 30. 5. 0, 2. 6. 1, - 27. 7. 1, - 2. 8. 1591, 0. 9. 144. 10. 1521. 11. 145.

37
" 771029

III. - PAGE 156. 1. 10 a + 3 6. 2. 11 a?. 3. 126 + 8 c. 4. O. 5. 8 ao + ab. 6. 3.2* – 22 – 15 x – 2. 4. 4 ab - 4.

8. 208 + y2 + – 3 xyz. 9. 2* + aʻya + y. 10. ax + b3 + 63 + 3 a+b + 3 ab? - aʼc - aca - b*c bc* = 2 abc.

11. 2c + y + y - 4 ac y + 4 com – 42y3 – 449% + 4 XzB = 4 yz + 6 xʻya + 6 xz2 +, 6 yam - 12 acʻyz + 12 wy*% = 12 xiz. 12. 0.

IV.-PAGE 167. 1. 4 a + 2b + 5 c. 2. - 4x + 2y - 6%. 3. až – 3 ab - b- 5a - 76 - 8.

4. 2a+ – 2 aRx2 + x4. 5. 4 at + 8 a?l? + 4 64.
6. - 3 2 - 3 23 – 3 xʻz – 3 xz.
7. 2* - axi – 9 aRx2 – 3 aʻx – 2 a. 8. 0.
9. - a - b --d + e + f + g + h.
10. 2 ** – 8 x3y + 12 aʻya – 8 xyz + 2 y!
11. 2* + 2 x+y + y4.
12. a2 + 62 - 26% + 2 ab 2 ac 2 bc.

V.-PAGE 159.
1. - x + 8y + z. 2. a3 – 63. 3. 13 - 6 %.
4. 5 x2 – 3x – 7.
5. (a + b) + (c – d), a – (b − c + d),

{a – (6 - c)} – d. 6. – (6 a 75) (3c – 5 d), - 6a+ (76 - 3c+5 d), - {6a (7 6 – 3c)? + 5 d.

% – (4 203 - 12 xạy) - (12 xy– xy2), 1 - 4 20 + (12 xay 12 xya + 4yY),

- {4.203 - (12 x*y - 12 xya)} + 4 yo. 8. (a3 73) - (03 - 3 abc), a3 (53 + c3 - 3 abc), {a} - (63 + c3)} + 3abc.. 9. - (a 6 + d) a* - (a 6 – 3 c) ay

- (2b - c-e-f)y. 10. (a - b + c - d) « - (c - d + e - f)y

(e - f + g = h) . 11. (a - b - d) a – (a 76 c) y - (6 - 6 + d)%. 12. (2 - x) a2 + (oc - y) ab + (y - ) 6?.

VI.-PAGE 161.
12 ao – ab - 662, 18 x* – 9 xy - 35 y?.
2. a– 2 xya + 4 4°, 30 x3 + 49 xʻy + 9 xy 7.
3. a* + 2 a + 6*, at - 64. 4. * - 4*, 28 – 3:
5. ax + 33 + c3 – 3 abc. 6. 208 – ye.
7. ax + 3 aʼ6 + 3 ab* + 63.
8. 5 a® + 5 a“ – 405a – 405.

9. – 7203 + 17 x – 5x – 2, as – 23. 10. a8 + 2 a%b2 + 3 a*b* + 2 a266 + 68., 11. af + (ac + bf) a + (6 + f) cz? + (6 + df) 23 + cdao. 12. 203 + (p – a) x2 + (q - ap) x – aq. 13. 23 + (a + b + c) x2 + (ab + ac + bc) x + abc..

VII.—PAGE 165. 1. 2– 2 xy + y?, 9 aż – 30 ab + 25 6, 16 c4 + 8 c*ť?+d, 9 ** – 12 xʻyo + 4 y*.

2. a 68. 3. mpx? – mʻy?, 5 am - 1864.
4. (a + c)2 – (b + d)?, (a + b)2 – (c + d)?.
6. x2 + 4 x – 5, x2 + 7 x + 10, 2 + 2 x – 15, 22 – 25.
7. 204 – 37 32 – 24 x + 180.
8. 7: {4 a?b(a62 – c)"}.
9. 4 (a* + b3 + ca + d).

VIII.—PAGE 171.
1. 4 au – ab + 26, xy 4 y.
2. 2 a* – 5 ab + 20 aob?, 2 ac + 3 xy + 2 y.
3. axin -" + bx-"y" + cx-(m + n) ya",

axm— n + by" + cxn-myan. .
4. 6x + 4 y, 5 2 - 3 y. 5. 1 + 2 + 2".
6. – 3 x — 4, - 72 + 3.
7. 23 - 3 x+y + 5 xy" + 27 33 + -

* – 31
god – xoy 3 xy + 15 y- 24 y.

a + y 8. ** + axy + x*y+ xy + y^, ** – aøy + x*ya xo + yf. 9. axm + by".. 10. a3 + a b + ab? + 6? 11. b + c, a + b. 12. a + bx + cxo. 13. at – (- 1)a: - (- 9 - 1) a’ - (2 - 1) a + 1.

14. The given expression is— (a + b + c – d) (a + b c + d) (a 6+c+d) (a-6--):

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