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Linear Equations and Inequalities - XYZ Custom Plus

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2.1 Problem Set119C Find the value of each expression when x is −3 <strong>and</strong> y is 5. [Examples 15–16]57. x 2 − 2xy + y 26458. x 2 + 2xy + y 2459. (x − y) 26460. (x + y) 2461. x 2 + 6xy + 9y 214462. x 2 + 10xy + 25y 248463. (x + 3y) 214464. (x + 5y) 2484C Find the value of 12x − 3 for each of the following values of x.65. ​ 1 _2 ​366. ​ 1 _3 ​167. ​ 1 _4 ​068. ​ 1 _6 ​−169. ​ 3 _2 ​1570. ​ 2 _3 ​571. ​ 3 _4 ​672. ​ 5 _6 ​773. Fill in the tables below to find the sequences formed bysubstituting the first four counting numbers into theexpressions 3n <strong>and</strong> n 3 .74. Fill in the tables below to find the sequences formed bysubstituting the first four counting numbers into theexpressions 2n − 1 <strong>and</strong> 2n + 1.a.n 1 2 3 4a.n 1 2 3 43n 3 6 9 122n − 1 1 3 5 7b.n 1 2 3 4b.n 1 2 3 4n 3 1 8 27 642n + 1 3 5 7 9C Find the sequences formed by substituting the counting numbers, in order, into the following expressions. [Examples 17]75. 3n − 21, 4, 7, 10, . . . an arithmetic sequence76. 2n − 3−1, 1, 3, 5, . . . an arithmeticsequence77. n 2 − 2n + 10, 1, 4, 9, . . . a sequence ofsquares78. (n − 1) 20, 1, 4, 9, . . . a sequence ofsquaresHere are some problems you will see later in the book.Simplify.79. 7 − 3(2y + 1)−6y + 480. 4(3x − 2) − (6x − 5)6x −381. 0.08x + 0.09x0.17x82. 0.04x + 0.05x0.09x83. (x + y) + (x − y)2x84. (−12x − 20y) + (25x + 20y)13x85. 3x + 2(x − 2)5x − 486. 2(x − 2) + 3(5x)17x − 487. 4(x + 1) + 3(x − 3)7x − 588. 5(x + 2) + 3(x − 1)8x + 789. x + (x + 3)(−3)−2x − 990. x − 2(x + 2)−x − 4

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