Algebra-1 Homework Answers: Unit-2
KF-5. a) 10' by 15' b) bath = 63 sq. ft, kitchen = 105 sq. ft, living room = 150 sq. ft c) 318 sq. ft
KF  6. A.  16 sq. units; B.  17 sq. units
KF  7. 6 ft by 11 ft
KF  8. a) 4x 2 + 4x + 7 d) 3x 2 + 30 b) 3x 2  x + 16 c) 3x 2 + 6x + 1
KF  9. a)  45 b) 2 c) 
1
4 d) 10
KF  10 1) b e)  264 f)  2
2) d 3) g 4) a 5) e
KF  16. 328 tulips
KF  17. 1) d 2) c 3) g 4) f 5) a 6) e
KF  18. 82 beige, 107 red, and 246 navy blue
KF  19. a) Since all of the figures have a side of length 8 and 4 + 3 = 7, the first two rectangles will fit exactly inside the last rectangle.
7) b b) Rectangle has greater perimeter.
KF  20. a) 1=D, 2=A, 3=C, 4=B b) 5 c) 6, 4, 24 sq. units d) the area  36 e) Possible solutions: 10 by 3.6, 15 by 2.4, 12 by 3 f) curve
KF  21. area = 240; 240

$3.50 = $840
KF  26. A =  r 2 KF  27. circular pot;  201 sq. in square feet
KF  28. 50.4
KF  29. Answers will vary, and could include 5 by 7.2; 1 by 36 will not fit the paper. page 1

Algebra-1 Homework Answers: Unit-2
KF  31. a) 7 b) 31 c)  3 d) 8
KF  32 a) 4x 2 + 3x  3 b) 5x 2  23x c) 4x + 3c
KF  40.
1
8
 (6) 2  14.14 sq. in. KF  41. 43, 37
KF  42. a) 6 b)
1
6 c) 36 d) d) 2c
4
36
=
1
9
KF  43. a) 647 b) 192 ]
KF  44. a) A  78.54, C  31.42 b) A  44.18, C  23.56 c) A  50.27; C  25.13; diameter ÷ 2
KF  47.P = 88 m, A = 369 sq. m
KF  48. possible answers: 3 by 4, 2 by 6, 1 by 12 (fractions are okay, too) a)
1
2 b) Divide the base into the area.
KF  49. a) xy = 28; x+y =  11 c) y =  16; x+y =  15
1
2 b) x = 6; y =  2 d) xy =
1
10
; x + y=
7
10
2 + 3c + 27
KF  50. a)  3 and 2
1
4 b) 0 and 36.75
KF  51.
1
2
(2x 2 + 12x + 20) = x 2 + 6x + 10 c) 63 and 8.75
KF  52. a) 26
KF  59. 8
KF  62. a) 96 sq. feet
KF b)

 23
60. 170 yards b) 32 students c)  7 d) 54
KF  61. They are both correct.
KF  63. a) 20  12 + 55  20 = 43; She has $43. b) 9  4 + 11 = 16; He lives 16 blocks away. c) 39 + 4

6  32 + 9

6 = 85; There are 85 sodas in the machine.
KF  64. a) x 2 + 2x + 5 b) 3x 2  1 c)  14c 2 + 7c + 21 d) 6 + 2x page 2

Algebra-1 Homework Answers: Unit-2
KF  65. C  12.57 cm, so (25 jewels) * ($100) + 8% tax = $2,700
KF  73. a) Find the common denominator. d)
11
12
KF  74. a) 48 b) 280 b) 12 c)
8
12
+
3
12
KF  75. a) 4 b) 2
KF  76. 252 square units c) 7 d) 1 e) 6
KF  77. a) 14 b) 6.5 c) 74 d) 12
KF  87. 100 + 60 + 40 + 24 = 224; (10 + 6)(10 + 4) = 224
KF  88. a)  10 b) 4 f) 3 g) none e) 11 c) 17 d)  7
KF  89. a) 3x + 12 d) 12x 2 + 15x
KF  90. a) 36 sq. units b) 3x 2 + 12x b) Square the edge. c) 8 units; 8  8 = 64 square units
KF  91. math: 142g; Spanish: 573g; science: 463g c) 3x  12 d) 4.5 units
KF  92. 930 sq. cm.
KF  100. a) 9 sq. un.
KF  101. a) 17 b) 11 sq. un., 13 sq. un. c) 41 sq. un. b) 45 c)  22 d) 9
KF  102. a) 2x + 10 d) 10x 2  20x e) 10 b) 4x + 4 f) 4 c) 5x + 15 page 3

Algebra-1 Homework Answers: Unit-2
KF  103. 1) b
4) g
7) e
2) f
5) d
3) a
6) c
KF  104. 52  7.21; Ramon is correct.
KF  105. a) 1.5, 2, 5 b) 2, 1.6, 3 c) 2, 5 /
2
, 7 d) 10, 102, 10.8 ]
KF  108. 78%
KF  109. a)  13 x
. e) 10.9, 121, 11.1
Exact Value
of x b) 36
Approximate
Value of x f)

1.83,

3,

1.62 c) 30 d) 4 e)  4 f)  3
KF  110. a) 8 dumplings, 12 eggrolls, 4 sweet buns and 4 drinks
KF  111
1
2
3
4
1 = 1
2
3
4 = 2
1.4
1.7
5
6
7
8
5
5
7
8
2.2
2.4
2.6
2.8
9
10
3
10 3.2
KF  112.  241.7 sq. feet
KF  115. a) 4x  20 b) 2x 2 + 5x c) 32(4x 2 + 12x + 20) = 128x 2 + 384x + 640 d) 72x 2 + 240x + 432 = 24(3x 2 + 10x + 18) page 4

Algebra-1 Homework Answers: Unit-2
KF  116. a) same temperature at same time of year b) same distance at same time of race
KF  117. 8

5.75  2.25
 2.75
/
2
 42.91 sq. ft.
KF  118. a) 41.8 b) 26 d) 2
KF  119. b) 1)  5 2)  7
4) 6 5)  3
KF  120. a) 10 b) 15 d) 1 + 2 + 3 + 4 . . . + 10 = 55
KF  121. a) 2,221,169,175  2,221,200,000 c) 4
3)
6) 8 c) 21 b)


3
2.22

10 9
KF  122. a) (3x 2 + 2x + 8) + (5x 2 + 2) = 8x 2 + 2x + 10 b)
3
4
x +
2
3
x =
17
12
x c) 7x 2  7x  17
KF  123.
3
4
and 75%; A  150.80
KF  124.
23
4
inches = 5.75 in
KF  125. a) 88 b) 42
KF

126. 24 a)
2
3 b) She did not follow the Order of Operations. page 5