17. (x - 12) (x + 2).

20. (x+12) (x − 5).

18. (x+13) (x — 9).

21. (x16)(x+6).

23. (x - 15)(x+9). 24. (a + 13) (a − 8).

19. (x - 12) (x + 7). 22. (x-15)(x + 6).

Exercise 79. —1. (3x+5)(x+4). 2. (2x+1)(x+2). (x+5). 4. (2x+3)(x+6).

3. (2x+1)

5. (4x+8) (2x+3). 6. (3x-1) (2x-5). (4x+3)(2x+3). 8. (5x-2) (2x-5). 9. (3x-2) (2x+3). 11. (7x2) (2x+9). 12. (x+7) (4x-5). 14. (x-4) (4 x − 1).

15. (2 x 1)(x + 7).

Exercise 80.-1. a2b2c. 2. x3y2. 3. x3y3. 6. 56 x2y2. 7. 72 x2y. 8. 30 a2b2. 9. 72 x2y2. 10. 12. 24 a4b5.

Exercise 81.—1. x(x+3).

2. 3x(x+2).

4. 6 x2y2. 5. 36 x2y. 42 a1b3. 11. 40 x3y1.

3. 2x(x-1).

4. 3x(x-3). 5. x(x2-1). 6. x(x+1)(x+2). 7. x(x + 1)(x + 3). 8. x2(x-2). 9. x2(x-4). 10. (x − 1)(x − 2) (x − 5). (x+y)(x-4y). 12. (x-2y)(x+2y) (x + 3y).

11. (x − y) 13. x(1 - x2). 16. (x+4y)(x-4 y)2.

2

26

2.

3.

2 a2 + b .

4. x2 - 2.

x+1

a+b

Exercise 83.

x2

16.

6

-1.

7 x

12

x+7

12x

х

Exercise 86.—1. (a) 76.95, (b) 4.79, (c) 23.83, (d) 10.74, (e) 4.08, (f) 12.62, (g) 13.23, (h) 35.77, (i) 5.16. 2. (a) 1.013, (b) 1.209, (c) 1.042, (d) 1.093, (e) 1.245, (ƒ) 1.079, (g) 1.075, (h) 1.028, (i) 1.194. 3.2 or .28125. 4. 2.54.

Exercise 87.-1. 75, 125.

2. 100, 180. 3. 128, 192. 4. 52, 91.

6 yr. 8. 10 yr. 9. A, $600, B, $800.

5. 36, 45. 6: $60, $90. 7.
10. 35:36. 11. 19 lb., 2 lb. 12.
OZ. 14. 36 A., 32 A. 15. 14, 21.

Exercise 88. — 1.

25.5 lb., 8.5 lb. 16. 16 ft., 12 ft.

13. 22.5 oz., 4.5

305 mi. 2. $318.50. 3. 4o§. 4. 63. 5. 621 A. 6. 56 ft. 7. 6.272 in., 5.032 in., 6.736 in. 8. 1 in. to 18 mi. 9. 49 mi. 10. 15 ft. 11. Mercury, 3.9, Mars, 15.2, Jupiter, 52, Saturn, 95.4, Uranus, 191.8, 12. 59.6 mi., 51.1 mi., 78.7 mi., 42.6 mi. 13. 112 ft. 109.3 in. diameter.

Venus, 7.2, Neptune, 300.5. 14. 172.5. 15.

Exercise 89.-1. $1133.33. 5. 15. 6. 5 T. 7. 25 yd. 8. 360. Exercise 90.-1. 35, 36. 2. 29, 31. 3. 25, 30. 4. 20, 26.

2. $1410. 3. 1 cu. ft. 4. 12 da. 9. 20 cu. in. 10. 61,500 T.

5. 15, 19.

Exercise 91.-1. 25 yd., 20 yd. 12 rd. 4. 36 yd. 5. 24 ft., 12 ft.

2. 40 yd., 30 yd.

3. 16 rd.,

Exercise 92.-1. $36,000 at 4%, $14,000 at 5%. 2.

$4000 at 6%,

$1000 at 5%. 3. $720 in 3%, $1260 in 4%. 4. $12,000. 5. $5400.

Exercise 93.-1. 5 lb., 5 lb. 2. 10 lb., 6 lb. 3.
gal., 1 gal. 5. 4 parts milk, 1 part water. 6. 12 lb.
butter. 8. 6 bu.
10. 9 oz. gold, 1 oz. copper.
silver, 1 oz. copper.

9. 13 lb.

Exercise 94.-1. (a) 10

min. past 2 o'clock, (b) 21

4 o'clock, (c) 38 min. past 7 o'clock,
2. (a) 21 min. past 1 o'clock, (b) 32
min. past 5 o'clock and 43 min. past 5
o'clock. 3. (a) 38

21 lb. 4. 21
ice, fo
11. 9 oz.

7.

min. past

(d) 49 min. past 9 o'clock.
min. past 3 o'clock, (c) 101
o'clock, (d) 43 min. past 11
min. past 1 o'clock, (b) 49 min. past 3 o'clock,
min. past 9 o'clock. 4. 12 min. past 4 o'clock,
233 min., 4 min. 6. 40 min., 13 min.
2. 72. 3. 63. 4. 11, 25. 5. 7. 6. 17.

(c) at no time, (d) 16
48 min. past 4 o'clock. 5.

Exercise 95. -1. 96.
7. 33, 67. 8. 36, 81.

-

-1. 4

Exercise 96.
3. 6 mi. 4. 5 mi. per hr.

mi. per hr., 1 mi. per hr.

5. 16 mi., 8 mi. per hr.

Exercise 97.-1. 40 yr., 10 yr. 2. 45 yr., 15 yr.

4. $15. 5. $9000. 6. 11, 13. 7. 156.

2. 3 mi., 12 mi.

3. $50, $70.

4. $30.

10. 30 yd., 20 yd. 11. 35 yd. 12. 6 hr.
min. 15. (a) 311⁄2 min., (b) 31§ min.
sq. mi. nearly. 18. $1800, $2880. 19.
21.. 22. $800, $1000. 23. 164 yd.
26. 561% above cost. 27. $16. 28. 2 lb.

35, 65. 17. 14,653,000
$17.50, $24.50.
24. 2.4 mi. 25.

Exercise 98. —1. $20. 2. $1; $1.25. 3. $2.52.
5. $60. 6. 4%. 7. $6200. 8. $11,560. 9. $8. 10. 5%. 11. $140.
12. $125. 13. $300,000. 14. $24,000. 15. $3600. 16. $172,950.
17. $8,070,000. 18. $4,619,475. 19. 4 mills on $1. 20. $58.20, £12.
21. 20 sq. yd. 22. $69.84, £ 14 8s., $1.57, 52.7% 23. $ 200, $ 90.22.
24. $1.60, 76.33%. 25. $19.92. 26. $4800. 27. $3450. 28. $11,240.

7. 963. 8. 61.7. 9. 27.1. 10. 19.45. 11. 35.29.

12. .9021.

13. .3162. 14. .8307. 15. .1639. 16. 1.0308. 17. 1.2247. 18. 1.5275.
19. 2.0702. 20. 2.4944. 21. 1.291. 22. 9.0604.

Exercise 103.-1. 1760 yd.
5. 36, 45. 6. 40, 75. 7. 30, 78.

2. 22 yd. 3. $20. 4. 330 yd., 220 yd.
8. (a) 24, (b) 46, (c) 89. 9. (a) 20 in.,

(b) 60 in., (c) 90 in., (d) 99 in. 10. 1299.8 ft. per sec. 11. 144 ft., 1024 ft.

Exercise 105.—1. x = 6 or 1. 2. x = 4 or 3. 3. x = 9 or 1. 4. x = 6

or - . 30. x 4 or 1. 31. x2. 32. x = 2 or

Exercise 109. — 1. 6. 6√6. 7. 7√2. 8.

√6. 2. 3. 3. √15. 4. 6√15. 5. 12√35. 2√3. 9. 5√2. 10. 5√6. 11. 6√5. 12. 20.

13. 6v6. 14. 16. 15. 3+2√2. 16. 5+2√6. 17. 8+2√15.

18. 104√6. 19.

√6 + √2 + √3 + 1. 23. √7. 24. √10. 25. √2. 26. √3.

20. 3. 21. 1. 22.-6.

9. 252-10 xy + y2 - 16 z2. 10. x4-9x2+10x-9. 11. x2-6x3- 7 x2 +

: 2 or 3.

2. x

3 or

- 2,

1 or 5.

4. x = 5, y = 2.

5. x =

= 5,

7.

= 2 or y

- 4.

9. x = 4 or

-,

y

- 3 or 23.

1 or 1.56.