Problem 1SP: Skill Practice Determine the restrictions on the variable. a. x+4x3 b. 5c216 c. 67ab3 Problem 2SP Problem 3SP Problem 4SP: Skill Practice Multiply. 7x7yx22xy+y2x2xy21x Problem 5SP: Skill Practice Divide. y3279y25y2+15y+45y2+8y+15 Problem 6SP: Skill Practice
6. Add the rational expressions and simplify the result.
Problem 7SP Problem 8SP Problem 9SP Problem 10SP Problem 11SP: Skill Practice
11. Simplify.
a.
b.
Problem 1PE Problem 2PE Problem 3PE Problem 4PE Problem 5PE Problem 6PE Problem 7PE: For Exercises 7-14, determine the restrictions on the variable. (See Example 1) x4x+7 Problem 8PE Problem 9PE: For Exercises 7-14, determine the restrictions on the variable. (See Example 1)
9.
Problem 10PE Problem 11PE: For Exercises 7-14, determine the restrictions on the variable. (See Example 1) aa2+81 Problem 12PE Problem 13PE: For Exercises 7-14, determine the restrictions on the variable. (See Example 1)
13.
Problem 14PE Problem 15PE Problem 16PE Problem 17PE: For Exercises 17-26, simplify the expression and state the restrictions on the variable. (See... Problem 18PE Problem 19PE: For Exercises 17-26, simplify the expression and state the restrictions on the variable. (See... Problem 20PE: For Exercises 17-26, simplify the expression and state the restrictions on the variable. (See... Problem 21PE Problem 22PE Problem 23PE: For Exercises 17-26, simplify the expression and state the restrictions on the variable. (See... Problem 24PE Problem 25PE: For Exercises 17-26, simplify the expression and state the restrictions on the variable. (See... Problem 26PE: For Exercises 17-26, simplify the expression and state the restrictions on the variable. (See... Problem 27PE: For Exercises 27-34, multiply or divide as indicated. The restrictions on the variables are implied.... Problem 28PE Problem 29PE: For Exercises 27-34, multiply or divide as indicated. The restrictions on the variables are implied.... Problem 30PE Problem 31PE: For Exercises 27-34, multiply or divide as indicated. The restrictions on the variables are implied.... Problem 32PE: For Exercises 27-34, multiply or divide as indicated. The restrictions on the variables are implied.... Problem 33PE: For Exercises 27-34, multiply or divide as indicated. The restrictions on the variables are implied.... Problem 34PE Problem 35PE: For Exercises 35-40, identify the least common denominator for each pair of expressions.
35. and
Problem 36PE: For Exercises 35-40, identify the least common denominator for each pair of expressions.
36. and
Problem 37PE: For Exercises 35-40, identify the least common denominator for each pair of expressions.... Problem 38PE: For Exercises 35-40, identify the least common denominator for each pair of expressions.... Problem 39PE: For Exercises 35-40, identify the least common denominator for each pair of expressions.
39. and
Problem 40PE Problem 41PE: For Exercises 41-56, add or subtract as indicated. (See Examples 6-7) m2m+3+6m+9m+3 Problem 42PE Problem 43PE: For Exercises 41-56, add or subtract as indicated. (See Examples 6-7)
43.
Problem 44PE Problem 45PE: For Exercises 41-56, add or subtract as indicated. (See Examples 6-7) 92x2y411xy5 Problem 46PE: For Exercises 41-56, add or subtract as indicated. (See Examples 6-7)
46.
Problem 47PE: For Exercises 41-56, add or subtract as indicated. (See Examples 6-7) 2x+37x Problem 48PE Problem 49PE: For Exercises 41-56, add or subtract as indicated. (See Examples 6-7) 1x2+xy2x2y2 Problem 50PE Problem 51PE: For Exercises 41-56, add or subtract as indicated. (See Examples 6-7) 5y+2y+16y2 Problem 52PE Problem 53PE: For Exercises 41-56, add or subtract as indicated. (See Examples 6-7)
53.
Problem 54PE: For Exercises 41-56, add or subtract as indicated. (See Examples 6-7) 2x1x7+x+67x Problem 55PE: For Exercises 41-56, add or subtract as indicated. (See Examples 6-7) 4x2+6x+53x2+7x+10 Problem 56PE Problem 57PE: For Exercises 57-68, simplify the complex fraction. (Sec Examples 8-10) 127x+1913+19x Problem 58PE Problem 59PE: For Exercises 57-68, simplify the complex fraction. (Sec Examples 8-10) x65x+146x1676x Problem 60PE: For Exercises 57-68, simplify the complex fraction. (Sec Examples 8-10)
60.
Problem 61PE: For Exercises 57-68, simplify the complex fraction. (Sec Examples 8-10) 2a1b14a2b2 Problem 62PE Problem 63PE: For Exercises 57-68, simplify the complex fraction. (Sec Examples 8-10)
63.
Problem 64PE: For Exercises 57-68, simplify the complex fraction. (Sec Examples 8-10) 41+h4h Problem 65PE: For Exercises 57-68, simplify the complex fraction. (Sec Examples 8-10) 7x+h7xh Problem 66PE Problem 67PE: For Exercises 57-68, simplify the complex fraction. (Sec Examples 8-10) 3x11x+16x21 Problem 68PE: For Exercises 57-68, simplify the complex fraction. (Sec Examples 8-10) 1x+15x23x4+1x4 Problem 69PE: For Exercises 69-84, simplify the expression. Assume that the variable expressions represent... Problem 70PE Problem 71PE Problem 72PE: For Exercises 69-84, simplify the expression. Assume that the variable expressions represent... Problem 73PE: For Exercises 69-84, simplify the expression. Assume that the variable expressions represent... Problem 74PE: For Exercises 69-84, simplify the expression. Assume that the variable expressions represent... Problem 75PE: For Exercises 69-84, simplify the expression. Assume that the variable expressions represent... Problem 76PE Problem 77PE: For Exercises 69-84, simplify the expression. Assume that the variable expressions represent... Problem 78PE: For Exercises 69-84, simplify the expression. Assume that the variable expressions represent... Problem 79PE Problem 80PE Problem 81PE Problem 82PE Problem 83PE Problem 84PE Problem 85PE Problem 86PE: 86. The formula gives the total electrical resistance R (in ohms, ) when two resistors of... Problem 87PE Problem 88PE: 88. An object that is originally 35°C is placed in a freezer. The temperature T (in °C) of the... Problem 89PE: For Exercises 89-92, write a simplified expression for the perimeter or area as indicated. Perimeter Problem 90PE Problem 91PE Problem 92PE Problem 93PE Problem 94PE Problem 95PE Problem 96PE Problem 97PE Problem 98PE: For Exercises 93-108, simplify the expression. c2+13c+18c29+c+1c+3c+8c3 Problem 99PE Problem 100PE Problem 101PE Problem 102PE Problem 103PE:
For Exercises 93-108, simplify the expression.
103.
Problem 104PE Problem 105PE: For Exercises 93-108, simplify the expression.
105.
Problem 106PE Problem 107PE Problem 108PE Problem 109PE: For Exercises 109-116, write the expression as a single term, factored completely. Do not... Problem 110PE Problem 111PE: For Exercises 109-116, write the expression as a single term, factored completely. Do not... Problem 112PE: For Exercises 109-116, write the expression as a single term, factored completely. Do not... Problem 113PE Problem 114PE Problem 115PE Problem 116PE Problem 117PE Problem 118PE: 118. Is the statement true for all values of x? Explain why or why not.
Problem 119PE Problem 120PE Problem 121PE: For Exercises 121-128, simplify the expression.
121.
Problem 122PE Problem 123PE Problem 124PE Problem 125PE: For Exercises 121-128, simplify the expression. 523 Problem 126PE Problem 127PE: For Exercises 121-128, simplify the expression. aba3b3 (Hint: Factor the numerator as a difference... Problem 128PE Problem 129PE Problem 130PE format_list_bulleted