and ( - 1 , - 1 ) and the other passing through ( - 1 , 1 ) a n d
(1, - 1 ). Four triangles are formed by these lines; upper,
left, and lower ones are shaded. Right triangle is not
shaded.
Chapter Review pp. 408-410
- inconsistent 2. elimination 3. system of linear
equations 4. (- 8 , - 1 1 ) 5. (-2, 6 ) 6. (-3, -3 ) 7. no
solution 8. (~ y , - y ) 9. infinitely many solutions - 4 yr 11. The lines will be parallel. 12. (4, 7)
- (3, - 1 0 ) 14. no solution 15. (-1, -2) 16. infinitely
many solutions 17. (-{ 7 , ~ y r ) 18. $55 19. no
solution 20. (-1, 13) 21. (-11, -7) 22. (5, 12) - (4.5, 3) 24. infinitely many solutions 25. small
centerpiece: 25 min, large centerpiece: 40 min
u /
/ X
(^0) /
/
/
1 /
\/
{
/ r
y
V
"-L s
N X
Ch ap t er 7
Get Ready! p. 415
- 0.7 2. 6.4 3. 0.008 4. 3.5 5. 0.27 6. 49 7. 5.09
- 0.75 9. 4 10. 16 11. 4 12. 2000 13. -147
- 100 1 5 .4 9 16. 117 17. -31 18. 33% increase
- 25% decrease 20. 17% decrease 21. 5%
increase 22. {- 8 , 0, - 2 4. 5 } 23. {18, 10, - 3 2. 8 7 5 } - {-11, -1 , 16.5} 25. yes; how quickly the plant
grows 26. The quantity would increase rapidly. - decreasing
Lesson 7-1 pp. 418-423
Go t It? 1a.
c. d. 2 a 3 e.
£b.1^2 a.
±5 3a. ^ b. 50 15,625
b. n 3
mAn d.
e. It is easier to simplify first. That gives you, 1 x 1 = 1.
- 600 represents the number of insects 2 weeks before
the population was measured; 5400 represents the
population when it was measured; 16,200 represents
the number of insects 1 week after the population
was measured.
Lesso n Ch eck 1. y- 2. 1, m + 0 3. =y 4. 4x3 - -2 6. i 7. division 8. b° is equal to 1, not 0;
15. -1 17. 1 19. 0.4
1
c5d7
x" _a " x " _ n..n
a-n b o - 1 - a x
Ex e r c i se s 9. g 1 1. y 1 3. ^
or £ y 21. 4a, b * 0 23. 4 25. (^4) yn 27. x y-f- 29.
- 4s 3 33. ac-%, 5 d * 0 35. 4r u 37. -=L 11 39. -225
- | 43. |y 45. 100; there were 100 visitors 4 months
before the number of visitors was measured. - negative 49. negative 51. 10 -1 53. 10 -3
55a. 5“ 2, 5“ 1, 5°, 5 1, 5 2 b. 54 c. an 57. 4 gh~3 - 61>
11
n 3 16 7 58 2
'
n_1 31 6 17 85 0.5
- Answers may vary. Sample: Let a = j , then
a”1 = |, a^2 = |, and a-2 = |. 65. No; answers may