1. Operations with Radical Expressions
ALGEBRA 1 LESSON 11-4
pages 603–606  Exercises
3. –2 5
6. –8 3
7. yes
8. yes
9. no
11. –3 3
13. –2 5
16. 4 –
18. 6 –
21. 6 –
22. –9 – – – –
29. –6 2
30. – –
31.
32. – –
; 24.1
3( ) 5
11-4

2. Operations with Radical Expressions
ALGEBRA 1 LESSON 11-4
47.
units
units
units
51. 4x + x units
52. Answers may vary. Sample:
, ,
53. a. The student simplified
as instead of or b
54. a or 2.8 ft
b. s 2
35. – ; –1.3
36. 6 – ; 0.3 ft
– 6
42.
44. –24
45. – 2 4 3 10 5 8
11-4

3. Operations with Radical Expressions
ALGEBRA 1 LESSON 11-4 % % %
58. a. x
b. x x
59.
60. about 251 years
61. They are unlike radicals.
62. a. 1, 0, 1, 1;
4, 1, 5, ;
5, 3, 8, ;
8, 6, 14, 10;
10, 9, 19,
b. No; the only values it
worked for were 0 and 1.
a + b = a b
64.
65.
66.
67. 2
69. 70
– –
71. a b
c (p + q)
72. B /
9 2 2 21 n 2
n – 1 2 15 ab b
11-4

4. Operations with Radical Expressions
ALGEBRA 1 LESSON 11-4
73. I
74. [2] ( – 2)( ) =
– – =
3(5) – – 5(2) =
– – 10 =
[1] correct technique, but with a computational error
75. [4]
[3] correct steps but answer not completely simplified
[2] correct technique, but with a computational error
[1] correct answer but no work shown
7 – 21 5
• Multiply the numerator and
denominator by the conjugate
of the denominator. Simplify the
denominator.
11-4

5. Operations with Radical Expressions
ALGEBRA 1 LESSON 11-4
units
units
units
79. (3, 5)
80. (–2, 6.5)
81. 0, 7
82. –2, 9
83. –9, –3
84. –4, 6
85. –15, –2
86. –3, –
87. b2 + 22b + 121
88. 4p2 + 28p + 49
89. 25g2 – 49
90. 9x2 – 1
k2 – 81
92. d 2 – 2.2d 1 9 1 2
11-4