Problem 1SP: Add or subtract as indicated. 3 14 + 4 14 Problem 2SP: Add or subtract as indicated. 2 7 d − 9 7 d Problem 3SP: Add or subtract as indicated.
3.
Problem 4SP: Add or subtract as indicated. 4 t − 9 2 t + 2 − t − 5 2 t + 1 Problem 5SP: Subtract.
5.
Problem 6SP: Subtract. t 12 − t − 2 4 Problem 7SP: Add.
7.
Problem 8SP: Subtract. 2 y y − 1 − 1 y − 2 y + 1 y 2 − y Problem 9SP: Add. 3 p − 8 + 1 8 − p Problem 10SP: Write the English phrase as a mathematical expression. Then simplify by combining the rational... Problem 1PE: For the rational expression x 2 − 4 x − 5 x 2 − 7 x + 10 a. Find the value of the expression (if... Problem 2PE: For the rational expression a 2 + a − 2 a 2 − 4 a − 12 a. Find the value of the expression (if... Problem 3PE: For Exercises 3–4, multiply or divide as indicated.
3.
Problem 4PE: For Exercises 3–4, multiply or divide as indicated.
4.
Problem 5PE: For Exercises 5–26, add or subtract the expressions with the same denominators as indicated. (See... Problem 6PE: For Exercises 5–26, add or subtract the expressions with the same denominators as indicated. (See... Problem 7PE: For Exercises 5–26, add or subtract the expressions with the same denominators as indicated. (See... Problem 8PE: For Exercises 5–26, add or subtract the expressions with the same denominators as indicated. (See... Problem 9PE: For Exercises 5–26, add or subtract the expressions with the same denominators as indicated. (See... Problem 10PE: For Exercises 5–26, add or subtract the expressions with the same denominators as indicated. (See... Problem 11PE: For Exercises 5–26, add or subtract the expressions with the same denominators as indicated. (See... Problem 12PE: For Exercises 5–26, add or subtract the expressions with the same denominators as indicated. (See... Problem 13PE: For Exercises 5–26, add or subtract the expressions with the same denominators as indicated. (See... Problem 14PE: For Exercises 5–26, add or subtract the expressions with the same denominators as indicated. (See... Problem 15PE: For Exercises 5–26, add or subtract the expressions with the same denominators as indicated. (See... Problem 16PE: For Exercises 5–26, add or subtract the expressions with the same denominators as indicated. (See... Problem 17PE: For Exercises 5–26, add or subtract the expressions with the same denominators as indicated. (See... Problem 18PE: For Exercises 5–26, add or subtract the expressions with the same denominators as indicated. (See... Problem 19PE: For Exercises 5–26, add or subtract the expressions with the same denominators as indicated. (See... Problem 20PE: For Exercises 5–26, add or subtract the expressions with the same denominators as indicated. (See... Problem 21PE: For Exercises 5–26, add or subtract the expressions with the same denominators as indicated. (See... Problem 22PE: For Exercises 5–26, add or subtract the expressions with the same denominators as indicated. (See... Problem 23PE: For Exercises 5–26, add or subtract the expressions with the same denominators as indicated. (See... Problem 24PE: For Exercises 5–26, add or subtract the expressions with the same denominators as indicated. (See... Problem 25PE: For Exercises 5–26, add or subtract the expressions with the same denominators as indicated. (See... Problem 26PE: For Exercises 5–26, add or subtract the expressions with the same denominators as indicated. (See... Problem 27PE: For Exercises 27–28, find an expression that represents the perimeter of the figure (assume that,... Problem 28PE: For Exercises 27–28, find an expression that represents the perimeter of the figure (assume that x >... Problem 29PE: For Exercises 29–70, add or subtract the expressions with different denominators as indicated. (See... Problem 30PE: For Exercises 29–70, add or subtract the expressions with different denominators as indicated. (See... Problem 31PE: For Exercises 29–70, add or subtract the expressions with different denominators as indicated. (See... Problem 32PE: For Exercises 29–70, add or subtract the expressions with different denominators as indicated. (See... Problem 33PE: For Exercises 29–70, add or subtract the expressions with different denominators as indicated. (See... Problem 34PE: For Exercises 29–70, add or subtract the expressions with different denominators as indicated. (See... Problem 35PE: For Exercises 29–70, add or subtract the expressions with different denominators as indicated. (See... Problem 36PE: For Exercises 29–70, add or subtract the expressions with different denominators as indicated. (See... Problem 37PE: For Exercises 29–70, add or subtract the expressions with different denominators as indicated. (See... Problem 38PE: For Exercises 29–70, add or subtract the expressions with different denominators as indicated. (See... Problem 39PE: For Exercises 29–70, add or subtract the expressions with different denominators as indicated. (See... Problem 40PE: For Exercises 29–70, add or subtract the expressions with different denominators as indicated. (See... Problem 41PE: For Exercises 29–70, add or subtract the expressions with different denominators as indicated. (See... Problem 42PE: For Exercises 29–70, add or subtract the expressions with different denominators as indicated. (See... Problem 43PE: For Exercises 29–70, add or subtract the expressions with different denominators as indicated. (See... Problem 44PE: For Exercises 29–70, add or subtract the expressions with different denominators as indicated. (See... Problem 45PE: For Exercises 29–70, add or subtract the expressions with different denominators as indicated. (See... Problem 46PE: For Exercises 29–70, add or subtract the expressions with different denominators as indicated. (See... Problem 47PE: For Exercises 29–70, add or subtract the expressions with different denominators as indicated. (See... Problem 48PE: For Exercises 29–70, add or subtract the expressions with different denominators as indicated. (See... Problem 49PE: For Exercises 29–70, add or subtract the expressions with different denominators as indicated. (See... Problem 50PE: For Exercises 29–70, add or subtract the expressions with different denominators as indicated. (See... Problem 51PE: For Exercises 29–70, add or subtract the expressions with different denominators as indicated. (See... Problem 52PE: For Exercises 29–70, add or subtract the expressions with different denominators as indicated. (See... Problem 53PE: For Exercises 29–70, add or subtract the expressions with different denominators as indicated. (See... Problem 54PE: For Exercises 29–70, add or subtract the expressions with different denominators as indicated. (See... Problem 55PE: For Exercises 29–70, add or subtract the expressions with different denominators as indicated. (See... Problem 56PE: For Exercises 29–70, add or subtract the expressions with different denominators as indicated. (See... Problem 57PE: For Exercises 29–70, add or subtract the expressions with different denominators as indicated. (See... Problem 58PE: For Exercises 29–70, add or subtract the expressions with different denominators as indicated. (See... Problem 59PE: For Exercises 29–70, add or subtract the expressions with different denominators as indicated. (See... Problem 60PE: For Exercises 29–70, add or subtract the expressions with different denominators as indicated. (See... Problem 61PE: For Exercises 29–70, add or subtract the expressions with different denominators as indicated. (See... Problem 62PE: For Exercises 29–70, add or subtract the expressions with different denominators as indicated. (See... Problem 63PE: For Exercises 29–70, add or subtract the expressions with different denominators as indicated. (See... Problem 64PE: For Exercises 29–70, add or subtract the expressions with different denominators as indicated. (See... Problem 65PE: For Exercises 29–70, add or subtract the expressions with different denominators as indicated. (See... Problem 66PE: For Exercises 29–70, add or subtract the expressions with different denominators as indicated. (See... Problem 67PE: For Exercises 29–70, add or subtract the expressions with different denominators as indicated. (See... Problem 68PE: For Exercises 29–70, add or subtract the expressions with different denominators as indicated. (See... Problem 69PE: For Exercises 29–70, add or subtract the expressions with different denominators as indicated. (See... Problem 70PE: For Exercises 29–70, add or subtract the expressions with different denominators as indicated. (See... Problem 71PE: For Exercises 71–72, find an expression that represents the perimeter of the figure (assume that x >... Problem 72PE: For Exercises 71–72, find an expression that represents the perimeter of the figure (assume that x >... Problem 73PE: Let a number be represented by n. Write the reciprocal of n. Problem 74PE: Write the reciprocal of the sum of a number and 6. Problem 75PE: 75. Write the quotient of 5 and the sum of a number and 2.
Problem 76PE: Write the quotient of 12 and p. Problem 77PE Problem 78PE Problem 79PE Problem 80PE Problem 81PE: For Exercises 81–86, perform the indicated operations. Problem 82PE: For Exercises 81–86, perform the indicated operations. m m 3 − 1 + 1 ( m − 1 ) 2 Problem 83PE: For Exercises 81–86, perform the indicated operations.
83.
Problem 84PE: For Exercises 81–86, perform the indicated operations. 3 t 8 t 2 + 2 t − 1 − 5 t 2 t 2 − 9 t − 5 + 2... Problem 85PE: For Exercises 81–86, perform the indicated operations. 3 m m 2 + 3 m − 10 + 5 4 − 2 m − 1 m + 5 Problem 86PE: For Exercises 81–86, perform the indicated operations.
86.
Problem 87PE: For Exercises 87–90, simplify by applying the order of operations. ( 2 k + 1 + 3 ) ( k + 1 4 k + 7 ) Problem 88PE: For Exercises 87–90, simplify by applying the order of operations. ( p + 1 3 p + 4 ) ( 1 p + 1 + 2 ) Problem 89PE: For Exercises 87–90, simplify by applying the order of operations. ( 1 10 a − b 10 a 2 ) ÷ ( 1 10 −... Problem 90PE: For Exercises 87–90, simplify by applying the order of operations.
90.
Problem 1PRE: We have learned how to simplify, add, subtract, multiply, and divide rational expressions. The... Problem 2PRE: We have learned how to simplify, add, subtract, multiply, and divide rational expressions. The... Problem 3PRE: We have learned how to simplify, add, subtract, multiply, and divide rational expressions. The... Problem 4PRE: We have learned how to simplify, add, subtract, multiply, and divide rational expressions. The... Problem 5PRE: We have learned how to simplify, add, subtract, multiply, and divide rational expressions. The... Problem 6PRE: We have learned how to simplify, add, subtract, multiply, and divide rational expressions. The... Problem 7PRE: We have learned how to simplify, add, subtract, multiply, and divide rational expressions. The... Problem 8PRE: We have learned how to simplify, add, subtract, multiply, and divide rational expressions. The... Problem 9PRE: We have learned how to simplify, add, subtract, multiply, and divide rational expressions. The... Problem 10PRE: We have learned how to simplify, add, subtract, multiply, and divide rational expressions. The... Problem 11PRE: We have learned how to simplify, add, subtract, multiply, and divide rational expressions. The... Problem 12PRE: We have learned how to simplify, add, subtract, multiply, and divide rational expressions. The... Problem 13PRE: We have learned how to simplify, add, subtract, multiply, and divide rational expressions. The... Problem 14PRE: We have learned how to simplify, add, subtract, multiply, and divide rational expressions. The... Problem 15PRE: We have learned how to simplify, add, subtract, multiply, and divide rational expressions. The... Problem 16PRE: We have learned how to simplify, add, subtract, multiply, and divide rational expressions. The... Problem 17PRE: We have learned how to simplify, add, subtract, multiply, and divide rational expressions. The... Problem 18PRE: We have learned how to simplify, add, subtract, multiply, and divide rational expressions. The... Problem 19PRE: We have learned how to simplify, add, subtract, multiply, and divide rational expressions. The... Problem 20PRE: We have learned how to simplify, add, subtract, multiply, and divide rational expressions. The... format_list_bulleted