# Algebra-1 (CPM-1) Unit

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 KF  d) 10 10 1) b 2) d e)  264 3) g 4) a f)  2 5) e KF  16. 328 tulips KF  17. 1) d 2) c 3) g 4) f KF  18. 82 beige, 107 red, and 246 navy blue 5) a 6) e 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 d) the area  36 b) 5 c) 6, 4, 24 sq. units 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

KF  31. a) 7 b) 31 c)  3 KF  32 a) 4x 2 + 3x  3 b) 5x 2  23x KF  40. 1 8  (6) 2  14.14 sq. in. KF  41. KF  42. a) 6 b) 1 6 c) 4x + 3c 43, 37 c) 36 d) 8 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 = d) xy = 1 10  2 ; 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 b)  23 KF  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 d) 6 + 2x b) 3x 2  1 c)  14c 2 + 7c + 21 page 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 f) 3 g) none e) 11 KF  88. a) d)  10  7 KF  89. a) 3x + 12 d) 12x 2 + 15x KF  90. a) 36 sq. units b) 4 b) 3x 2 + 12x c) 17 c) 3x  12 b) Square the edge. c) 8 units; 8  8 = 64 square units KF  91. math: 142g; Spanish: 573g; science: 463g KF  92. 930 sq. cm. KF  100. a) 9 sq. un. d) 4.5 units b) 11 sq. un., 13 sq. un. c) 41 sq. un. KF  101. a) 17 d) 9 KF  102. a) 2x + 10 d) 10x 2  20x b) 45 e) 10 b) 4x + 4 c)  f) 4 22 c) 5x + 15 page 3