Answers for Chapter 1, pp. 724-725   Extra Practice

1.	s = side length;= 12s
2.	n = number of people; c = 5.50n
3.	e = length of rectangle; a = 12e
4.	t = time in minutes; c = 75 + 25t
1.	

28.

5.  28	6.  11	7.  9	
8.  -2	9.  20	10.  	
11.  -27.7	12.  -7	13.  14	
14.  7	15.  10	16.  21	
17.  <	18.  <	19.  <	
20.  <	21.  =	22.  >	
23.  <	24.  <	25.  c = 0.20E	

26.  c = 5 + 7t	27.  c = 9n		
29.  mean = 39.375 	30.  mean = 0.943   	31.  mean = 6.3
median = 38			median = 0.9		median = 6
mode = 35		mode = none	mode = 5, 8

Answers for Chapter 1, pp. 724-725   Extra Practice (cont.)

32.	a.
b.	15

c = cost of gas     = length of trip    a = available tickets
g = gallons	t = time in traffic    	s = tickets sold
33.	c = 2.25g	34.	= 35 + t	35.	a = 4200 - s
36.	300 yd2	37.	7725 ft2
38.	Answers may vary.	39.	Answers may vary.
Sample: false;	Sample: false;
 X2 = 1	1 ÷ 2 =
40.	true
41.	number of people; total charge
42.	miles driven; reimbursement
43.	acres plowed; time
44.	lawns cut; earnings; 1 to 7 lawns; $12 to $84
45.	no correlation; The length of a town’s name is not likely to
affect its population.
46.	positive; The hotter the weather, the more water athletes
should drink.
47.	negative; The lower the price, the more likely people are to
buy it.
40.	

Answers for Chapter 1, pp. 724-725   Extra Practice (cont.)

48.
49.
0.86, 0.9,0.9
79.9,78,88

Answers for Chapter 2, pp. 726-727    Extra Practice

1.	-                             2.	  -9                                3.	
4.	0             	5.			9                                6.	-9
7.	-11    	8.	             	9.	-88
10.	9              	11.		 -9                	12.	-1
13.	            	14.	-1                 	15.	-9
16.	           	17.	             	18.	
19.	          	20.	
21.	     	22.	
23.			10    -2.9    	24.	-4a - 12       	25.	-16x + 12
 	1.9   14.4
26.	6m + 11   	27.	8 - 4t           	28.	16
29.	-4               	30.	0                 	31.	1 - 4d
32.	14c - 6          	33.		7 - 3j            	34.	4 - 2r
35.	3 - 4y         	36.	           	37.	
38.	           	39.	0              	40.	
41.	          	42.	          	43.	
44.	         	45.	       	46.	
47.	           	48.	              	49. 	
50.	            	51.	            	52.	
53.		75°C                   54.		5 in.

55.	$16         	56.		$30
Answers for Chapter 2, pp. 726-727    Extra Practice (cont.)

57.  9 pizzas	58.  33 mi.
59.  $27.65	60.  2400 people
61.  $48.60	62.  Ident. Prop. of Mult.
63.	 Comm. Prop. of Mult.
64.	 Comm. Prop. of Add.
65.             	66.              	67. 
68.            	69.  

Answers for Chapter 3, pp. 728-729    Extra Practice
1.  2	2.  8	3.  -5.7
4.  -11	5.  20	6.  10
7.  2	8.              	9.	-8
10.  -2		11.  11	12.	1
13.	 t = test score;= 90; no
14.	 a = allowance;a =	5(1.25); $12.50
15.	 1	16.  identity	17.  -40
18.	 1	19.  0	20.  no solution
21.	          	22.  identity	23.  no solution
24.  -8	25.  1	26.  48
27.  26	28.              	29.  
30.           	31.  12	32.  about 1.7 in.
33.  bus: 5 h; car: 4 h

34.  11% increase	35.  16% increase	36.  33% decrease
37.  200% increase	38.  38% decrease	39.  8% increase

Answers for Chapter 3, pp. 728-729    Extra Practice (cont.)
40.	5              	41.         	42.	  8
43.           	44.	0.9	45.	 30
46.	yes; 152 + 362 = 392          	47.	no; 32	+ 72	≠10
48.	yes;82 + 152 = 172           	49.	no; 3	+ 4≠5
50.	10              	51.	10.3	52.	10.8
53.	 9.1          	54.	5 DVDs	55.	7 h
56.	7 yd by 14 yd   	57.	$340; $510	58.	50 gallons
59.	2 h	60.	about $1.93/lb
61.	about 16.9 ft/sec	62.	180 ft
63.	1.25 mi         	64.	15% decrease	65.	12.5% increase
66.	about 8.4 ft   	67.	about 19.4 ft	68.	about 87.3 ft
2.	p ≤ 8
1.	w > -3;

3.	r > -4;
4.	y ≤

6.	h > -12;
5.	t ≥ -8;

8.	s ≤ 18;
7.	w >

Answers for Chapter 4, pp. 730-731    Extra Practice

Answers for Chapter 4, pp. 730-731    Extra Practice (cont.)

9.	c ≥ -10;
10.	 ≥ -3.5;
12.	m ≥ 4;
11.		t ≥ 5;
14.	n ≤ 14.5;
13.	y < 13;
15.	b > -2;
16.	a < -11;
17.	x ≥ 1;
18.	d ≤ -1;
19.	n ≥ 4;
20.	s > -2;
22.	r > -1;
21.	x < -3;
24.	x > 1;
23.	x <
25.	18x ≤ 102,5 balls	26.	7.5h ≥ 35,h
27.	5 < w < 7	28. 	- 5 < t < 7
29.	m ≤ 4 or m > 8.4	30. 	j: ≥5
31.	10 < c < 12	32. < h <
33.	2 < t < 3	34. 	-2 < w < -1
35.	2 ≤ x ≤ 3	36. 	n < 2 or n > 4

Answers for Chapter 4, pp. 730-731    Extra Practice (cont.)

37.  | x | < 2	38.  | x - 4.5 | > 0.5
39.  | x + 4 | < 1	40.  | x + 1| ≥ 3
41.  | x - 3 |≤ 5	42.  −5 < x < 5;

43.  t > 1 or t < − 1;
44.  −8 ≤ t ≤ 8;
or m < −3;
46.  4 ≤ c or c ≤ −4;
45.  m >
47.  0 ≤ w ≤ 16;
48.  -5 < b < 2;
49.  −1 ≤ c ≤ 11;
50.  −1 ≤ n ≤ 1;

51.  |x − 2.5 < 0.5	52.  |x − 3| ≤ 0.01
53.	  c is the number of cars sold; c ≥ 35
54.	  t is the number of tickets; t ≤ 425
55.	  y is age in years;y ≥ 18
56.	  b is the number of balloons; b > 720
57.	  375 + c ≥ 500; c ≥ 125
58.	  125 - p ≤ 60; 65 ≤ p
59.	  25c ≥ 200; c ≥ 8
60.  ≤ 5; 4 ≤ n
61.  15n - 700 ≥ 1000; n ≥ 114

Answers for Chapter 4, pp. 730-731    Extra Practice (cont.)

Answers for Chapter 5, pp. 732-733    Extra Practice

2.
1.

4.
3.
6.	{2,-1,-2,1}
5.	-29, -11, -5,13
62.	35h + 10 < 100; h < 2.5
63.	32 ≤ t ≤ 212
64.	8 ≤ w < 11
65.	14,500 < p ≤ 15,755
66.	| d − 105≤ 0.175; 104.825 ≤ d ≤ 105.175
67.	| r − 4.25|≤ 0.005; 4.245 ≤ r ≤ 4.255
68.	|w − 175|≤ 0.35; 174.65 < w < 175.35
62.	

Answers for Chapter 5, pp. 732-733    Extra Practice (cont.)

7. {5,-1,1,19}	8. {6,7.5,8,9.5}
9. { - 12,0}	10. {0,2}
11. yes	12. no
13. yes	14. yes

15.
16.
17.
18. f(x) = x + 2	19. f(x) = 2x
20. f(x) = x − 7	21. f(x) =
y =
y = x

Answers for Chapter 5, pp. 732-733    Extra Practice (cont.)

24.
25.
y = -2x
y =
26.
y =
40.
27. 70	28. -96	29. 0.8	
30. 8.1	31. 7.5	32. 2	
33. 8	34. -3	35. -1	
36. 33,66	37. -4, -10	38. -1,2	
39. 5,17			

Answers for Chapter 5, pp. 732-733    Extra Practice (cont.)

42.
41.
43.  {19,16,11}	44.  {1,16,18}	45.  {8,32,72}
46.
47.
48.  C(r) = 2pr	49.  A(w) = 100w
50.  D(m) = 5280m	51.  P(n) =
52.  50t = d; about 117 mi	53.  P = 4s; 53.6 in.

Answers for Chapter 5, pp. 732-733    Extra Practice (cont.)

54.	w = 4500; 62.5 yd	55.	rt = 12; about 6.9 mi/h
56.	9:26 a.m., 9:33 a.m., 9:40 a.m.
57.	$9020, $8840,$8660
56.	

Answers for Chapter 6, pp. 734-735    Extra Practice
1.	0.2 m/yr	2.  0.1 mi/min	3.  1.6 mm/s
9.
10.

12.
11.

13.	x-intercept = 2, y-intercept = 12
14.	x-intercept = 0, y-intercept = 0
15.	x-intercept = -6, y-intercept = 3

4.	pages per minute
5.	slope = 6, y-intercept = 8
6.	slope = y-intercept = - 6
7.	slope = 0, y-intercept = 4
8.	slope =y-intercept = -8
4.	

Answers for Chapter 6, pp. 734-735    Extra Practice (cont.)

16.	x-intercept =y-intercept = 6
27.  y =+2	28.  y =	
29.  y = x + 6	30.  y =	
31.  y = -7x - 7	32.  y = x - 7	
33.  y =	34.  y = + 7	
35.  4x - y = -17	36.  x - y = 0	
37.  4x - 3y = 25	38.  2x - y = -3	
39.  y = -1	40.  x = 4	
17.	y - 6 = -5(x - 4)	18.	y + 1 = x - 3
19.	y - 5 =( x - 8)            	20.	y + 6 =
16.	

21.
22.
24.
23.
25.
26.

Answers for Chapter 6, pp. 734-735    Extra Practice (cont.)

41. a-b.
c. grade = 0.720 ∙ age - 1.118
42.
43.
44.
45.
47.
46.
48.
49.
50.	$7.50/ticket
51.	-250 ft/s

Answers for Chapter 6, pp. 734-735    Extra Practice (cont.)
52.	y =+ 2	53.	y = 6x + 2
54.	C = 3.75n; $3.75 to $11.25
55.	t = 2n; even whole numbers
56.	12b + 4w = 20	57.	3j + 2c = 25
58.	y - 210 = 70(x - 2)	59.	y - 24 =(x - 32)
60.	True; the same rate of travel means that slopes of the graphs
are the same, so the lines are parallel.
61.	False; the slopes of perpendicular lines have a product of - 1,
so one must be positive and the other must be negative.
62.	y = 0.11x + 7.3; 0.8466
63.	y = 50| x − 0.5 |
2.	(-2, -1);
1.	(4, -3);

5.	(0, 6);
Answers for Chapter 7, p. 736-737    Extra Practice

Answers for Chapter 7, p. 736-737    Extra Practice (cont.)
4.	infinite number of solutions
5.	x = 1,y = −1		6.	x = 0,y = 4
7.	x = 6,y = 13		8.	x = −7,y = 2
9.	x = 4,y = −9	10.	x = 3,y = −5
11.	x = 4,y = −5	12.	x = 25,y = −5
13.	x + y = 12	14.	3x + 5y = 2.31
5x + y = 32	5x + 3y = 3.05
5 nickels, 7 pennies	soap: $.52, sponges: $.15
15.	2x + 2y = 74
7x + 2y = 159
length: 20 ft, width: 17 ft
16.	x + y = 30
x + 0.7y = 0.9(30)
water: 20 L, 30% solution: 10 L
17.	x + y = 4
0.06x + 0.15y = 0.1(4)
A:L,B:L
18.	(x + y)2 = 12
(x − y)3 = 12

19.
20.
boat: 5 mph, current: 1 mph

Answers for Chapter 7, p. 736-737    Extra Practice (cont.)

21.
22.
24.
23.
25.
26.
27.
28.
29.
30.

Answers for Chapter 7, p. 736-737    Extra Practice (cont.)

31.	y = 0.5 + 0.02x	32.	y = 75 + 5x
y = 0.25 + 0.03x		y = 30 + 10 x
25 minutes		9 weeks
33.	c + s = 300, s = c + 110; corn: 95 acres; soybeans:
205 acres
34.	2ℓ + 2w = 34, ℓ = w + 1; 9 cm by 8 cm
35.	4h + 7c = 34.50,8h + 3c = 30.50; $2.50, $3.50
36.	x + y = 25,x - y = 9; 17,8
37.	b =b + g = 3321; 1476 boys, 1845 girls
38.	(b + c)(1.5) = 18,(b - c)(3) = 18; boat: 9 mi/h,
current: 3 mi/h
39.	3a + b ≤ 10
Answers may vary. Sample: 1 lb of apples and 3 lbs of
bananas, or 2 lbs of apples and 2 lbs of bananas, or 1 lb of
apples and 4 lbs of bananas.
40.	2ℓ + 2w ≤ 40
Answers may vary. Sample: 5 ft by 10 ft, 8 ft by 7 ft, 2 ft
by 11 ft

Answers for Chapter 7, p. 736-737    Extra Practice (cont.)

41.	Answers may vary. Sample: He can buy 3 CDs and 1 DVD,
or 1 CD and 2 DVDs, or 2 CDs and 1 DVD.
17d + 14c ≤ 60
d + c ≥ 2

Answers for Chapter 8, pp. 738-739    Extra Practice

1.  	2.  	3.   	
4.  	5.  	6   w6j 22	
7.   	8.  9n	9.  r5g3	
10.  a4	11.  w13	12.  6t4	
13.  	14.  2t8	15.  a 3	
16.  	17.  9	18.  	
19.  144	20.  144	21.  1	
22.  16	23.  0	24.  	
25.  3.4 × 107	26.  6.3 × 10-4	27.  1.5 × 103	
28.  2 ×10-4	29.  3.6 × 105	30.  6.2 × 109	
31.  5 × 10-2	32.  8.91 × 10-10	33.  8,050,000	
34.  0.00000032	35.  900,000,000	36.  0.000425	
37.  235	38.  63,000	39.  00002001	

Answers for Chapter 8, pp. 738-739    Extra Practice (cont.)

40.  5295.6	41. 1.5; 40.5,60.75   42. 0.5; .25,0.125
43.  0.2; -0.008, -0.0016	44.  2; -16, -32
45.  3; 54,162	46.  -0.5;-0.15,0.075
47.             	48.  4; -144, -576
49.  increase	50.  decrease 
51.  increase	52.  increase 
53.	  ; decrease
54.	  ; decrease
55.  ; decrease	56.  increase 
57. ; increase	58.  decrease 
59.           	; increase	60.                   ;
             	increase

61.	 exponential growth; growth factor = 8
62.	 exponential growth; growth factor = 2
63.	 exponential decay; decay factor =
64.	 exponential growth; growth factor = 9
65.	 exponential decay; decay factor = 0.65
66.	 exponential growth; growth factor = 1.5
67.	 exponential decay; decay factor =
68.	 exponential decay; decay factor = 0.9
61.	

Answers for Chapter 8, pp. 738-739    Extra Practice (cont.)
69.	 y = 200(1.04)x; $243.33
70.	 y = 1000(1.003)x; $1432.56
71.	 y = 3000(0.92)x; $2336.06
72.	 $49,920; $6240	73.	7.5 X 109
74.	8.2 X 10-6     m	75.	about 9.5 X 1012 km
76.	about 1.1 X 1021 m3	77.	about 9.5 X 10-11 m2
78.	m3	79.	36 min
80.	 A(n) = 4· (-6)n-1; 6,720,000
81.	 A(n) = 60· (0.4)n~ ;0.6144
82.	 f(x) = 5000 · 2x; $40,000, $80,000
83.	 f(x) = 15 ·3 x; 10,935 animals
84.	 $2,985.13	85.  $987.61	86.  $634.92
Answers for Chapter 9, pp. 740-741    Extra Practice
1.  2x + 4x - 11x + 11	2.  5x - 2x	
3.  6m3 + m + 4	4.  -t2 + 10t + 11	
5.  -10c3 - c2 - 9c - 7	6.  - 19v – v2 + 13v	
7.  -4s4 - 2s3 + 2s2 + 4s	8.  4w2 + 14w + 17	
9.  18t + 16	10.  3n	
11.  4b3 + 12b	12.  9c3 - 27c2 + 45c	
13.  32m2 - 40m	14.  5k3 + 40k 2	
15.  5r4 + 20r3 - 10r2	16.  2m5 + 2m3 - 4m2	
17.  -3x3 - 9x2 + 3x	18.  -x3 - x2 - x	

Answers for Chapter 9, pp. 740-741    Extra Practice (cont.)

19.  t2(t4 - t3 + t2 + 1)	20.  3(m2 + 3m - 2)	
21.  4c2 (3c3 - c + 4)	22.  -2v5 (5v4 - 4v - 1)	
23.  n2 (2n2 - 3n + 6)	24.  5r(4r2 + 3r + 1)	
25.  x5 (4x2 + 9x + 5)	26.  –d4 (2d6 - 4d4 - 7)	
27.  -5c2 + 7c + 6	28.  6t2 + t – 1	
29.  w3 + 4w2 + 3w - 2	30.  3t2 + 8t + 5	
31.  4n2 + 2n - 12	32.  b2 + 10b + 21	
33.  9x2 + 6x + 1	34.  25t2 + 40t + 16	
35.  w3 - 1	36.  a2 – 16	
37.  9y2 - 4	38.  w4 – 4	
39.  (3x - 1)(2x + 5), 6x2 + 13x - 5	
40.  (n - 1)(n + 1) = n2 -1		
41.  (x - 3)(x - 1)	42.  (3x - 1)(x - 1)	
43.  (v - 1)(v + 2)	44.  (t - 2)(5t + 9)	
45.  (m - 2)(m + 11)	46.  (x - 5)(x + 3)	
47.  (n - 1)(2n + 3)	48.  (h - 3)(2h + 1)	
49.  (m - 5)(m + 5)	50.  (3y + 1)(3y - 1)	
51.  (3y + 1)2	52.  (p + 1)2	
53.  (x + 3)2	54.  (5x + 3)(5x - 3)	
55.  (t + 1)(4t - 3)	56.  (3c - 13)(3c + 13)	
57.  (2m + 11)(2m - 11)	58.  (v + 4)(3v - 2)	
59.  (2g + 1)2	60.  -(w - 4)(w - 1)	
61.  (3t + 2)2	62.  (3m - 2)(4m + 1)	

Answers for Chapter 9, pp. 740-741    Extra Practice (cont.)

63.  (6s + 1)(6s - 1)	64.  (c - 5)2	
65.  (y + 3)(3y2 - 1)	66.  (3u + 1)(u2 - 2)	
67.  (w - 3)(w2 + 3)	68.  (2z + 1)(2z2 - 1)	
69.  x(x + 3)(3x - 1)	70.  y(y2 - 3)(y2 + 3)	
71.  2(p - 2)(p2 + 1)	72.  3y(y - 2)(y + 1)	
73.  12k - 2	74.  2t2 + 2t - 13	
75.  6d3 + 2d2 - 4d + 10	76.  52g2 + 91g	
77.  3w2 + 5	78.  25p2  − 30pp + 9	
79.  264y2 + 202y − 28		
80.   a.		
b.            c.		
81.  16x2 - 24x + 9, 4x2 + 16x	+ 16; 441 cm2 , 256 cm2	
82.  h - 6	83.  m + 7	
84.  (5w + 8) by (2w - 5)	85.  (12d - 7) by (d - 2)	
86.  radius: (7v + 6)	87.  (8m - 13n) by (8m + 13n)	
88.  2t by (13t + 7) by (t + 5)	89.  (5k 2 - 3) by (2k + 5)	
Answers for Chapter 10, pp. 742-743    Extra Practice

1.	narrower
2.	narrower and reflected over the x-axis
3.	wider and reflected over the x-axis
4.	wider
5.	translated down 4 units
6.	translated up 1 unit

Answers for Chapter 10, pp. 742-743    Extra Practice (cont.)
7.	narrower and translated up 5 units
8.	wider, reflected over the x-axis, and translated down 7 units
21. 6, -6	22. 1,-2	23. 10, -10	
24.	25. 14, -6	26. 3,-3	
27. 13, -13
30. -3 4
33. 	28. 3,-3
31. 
34. no solution	29. no solution
32. 5 ±
35. 8,-2	
36. -4 ±	37. 1 ±	38. no solution	
39. -2,-3	40. 12, -12	41. -2	

9.	x = 0, (0,0)	10.	x = 0, (0,1)
11.	x = 0, (0, -3)	12.	x = 1, (1,2)
13.	x = -1, (-1, -3)	14.	x = 0, (0, 0)
15.	x = 0, (0, -9)	16.	x =
17.	x = 4, (4, -16)

18.
19.
20.

Answers for Chapter 10, pp. 742-743    Extra Practice (cont.)
42.	3,2               	43.	2, -3                44.	
45.	          	46.        	47.	5, -2
48.	ft by 30 ft      	49.	2            	50.	0
51.	1                	52.	2          	53.	0
56. linear
55.  quadratic
57.  exponential
58.

54. 	0

59.	0.46875 s	60.	0.75 s; 59 ft
61.		12 =  r2 ; 2.0 in.	62.	S2 = 150; 12.2 ft
63.	= 300; 19.6 m	64.	8 cm × 12 cm × 6 cm
65.	2 s	66.	19.0 m, 21.0 m

Answers for Chapter 10, pp. 742-743    Extra Practice (cont.)

67.  about 2.66 s	68.  yes
69.  quadratic; y = 1.786x2 − 24.043x + 226.371
Answers for Chapter 11, pp. 744-745    Extra Practice

1.                	2.           	3.  
4.               	5.  10	6.  9
7.  2x2		8.          	9.  
10.       	11.  -10	12.  6 -
13.       	14.  150	15.  
16.          	17.  4	18.  5 +
19.  - 1	20.  −(+ 2)
21.   	22.  -1
23.  5	24.  3
25.  4		26.  2
27.  6		28.  1,2
29.  2	30.  1,6

31.  x ≥ -5;	32.  x ≥ 0;

Answers for Chapter 11, pp. 744-745    Extra Practice (cont.)
33.	x $ -1;
34.	x $ 0;
35.	x $ 3;
36.	x $ 0;
37.           	38.	                        39.	
40.	          	41.	       	42.	
43.	0.9511	44.	0.8746	45.	1.1106
46.	1.2799	47.	0.9063	48.	0.7314
49.	201 m	50.	715,906 ft (about 136 mi)
51.	23 mi	52.	232 mi
53.	5 mi	54.	7.7 in.
55.	240(1 2); 29.3 cm	56.	450 =23.9 m
57.	about 60

Answers for Chapter 11, pp. 744-745    Extra Practice (cont.)

58.	a.
b.	about 3.5 months

59.	about 19 ft	60.	about 110 ft
61.	124,027 ft (about 23 mi)     	62.	11,417 ft (about 2.2 mi)
1.	x = 0,y = 0;
2. 	x = -2,y = 0;

3.	x = 0,y = -3;
4.	x = -1,y = 3;

Answers for Chapter 12, pp. 746-747    Extra Practice

Answers for Chapter 12, pp. 746-747    Extra Practice (cont.)

5.	x = 0,y = -1;
6.	x = 1,y = 0;
7.	x = 0,y = 4;
8.	x = -1,y = -1;
9.              	10.                   11. 4
12. 	a - 1                       13.        	14. -1
15.         	16.      	17. 
18.	 2t                           19.        	20. 
21.            	22.            	23. 12
24.             	25.      	26. 
27.          	28.        	29. 2x2 + 5x + 2

30.	3x2 - 3x + 3 -

Answers for Chapter 12, pp. 746-747    Extra Practice (cont.)

57.
56.
2.4
0.21875 lumens

31.  3x2 - 7x + 6			
32.  3(x2 + x + 1)	33.  8	34.  	
35.  -1		36.  -3	37.  9	
38.  -3		39.  5,-5	40.  	
48.	 		42.  -12	43.  -15	
44.  6, -10		45.  15	46.  42	
47.  252		48.  8	49.  665,280	
50.  36		51.  210	52.  151,200	
53.  24		54.  12		
55.  a. 9000				
b. 				
58.	about 26 min	59. 	about 98 min
60.	             	61.	3x   − 4x + 
62.	          	63.	
64.	18 min	65.	min
66.	15,120	67.	52,360	68.	455