Section 1.8 Algebraic Expressions 83 Simplify each algebraic expression. 73. -5(x + 6) + 12 74. -2(b + 7) + 9 75. -7(x - 1) + 3(2x - 5) 76. -2(6x + 5) - 3(4x - 1) 77. 1.8 - 3(-0.2x + 1.6) 78. 2.7 - 0.5(1.3x + 6) 79. 14a1 2 x - 3 7 b + 8 80. 20a- 2 5 x + 3 4 b - 24 81. -18a2 9 y - 1 2 b + 6 a- 2 3 y + 1 2 b 82. -21a1 3 x + 1 7 b + 4a1 2 x - 3 4 b 83. 0.5(2x - 6) + 0.4(x + 4) - 1.5 84. -0.6(1.5x - 2) + 0.7(3x + 6) + 2.9 85. 10(0.5x - 2) + 10(0.4) 86. 100(0.6x + 0.25) + 100(0.35x) You Be the Teacher! Correct each student’s errors, if any. 87. Simplify 5 - 3(2 + 4). Brian’s work: 5 - 3(2 + 4) = 2(2 + 4) = 2(6) = 12 88. Simplify 3a - a. Shirl’s work: 3a - a = 3a 89. Simplify x2 + x2. Molly’s work: x2 + x2 = x4 90. Simplify 3(6x + 2) - 4. Isaac’s work: 3(6x + 2) - 4 = 18x + 2 - 4 = 18x - 2 91. Simplify 4 + 2(5 + x). Warren’s work: 4 + 2(5 + x) = 6(5 + x) = 30 + x 92. Simplify 6 - (2 + x). Ashley’s work: 6 - (2 + x) = 4 - 2 + x = 2 + x 93. Simplify -6b - 4b. Sue’s work: -6b - 4b = 2b2 94. Simplify 9a - 2(a + 5) + 7. Rob’s work: 9a - 2(a + 5) + 7 = -19a - 10 + 7 = -19a - 3 GROUP ACTIVITY �������������������������������������������� ���� 1. One method of determining if you are at a healthy weight for your height is by finding your body mass index (BMI). The BMI is 703 times the quotient of a person’s weight (in pounds) and the square of a person’s height (in inches). Write an equation that represents BMI. Let w represent weight and h represent height. 2. Use the equation from Step 1 to determine your BMI. Use the chart to determine your weight status. (You do not have to share this information with your group members.) BMI Weight Status Below 18.5 Underweight 18.5–24.9 Normal 25.0–29.9 Overweight 30.0 and above Obese 3. In Section 1.3, the basal metabolic rate was presented. (See pages 35 and 36.) Recall this calculates the number of calories that your body needs each day to perform essential functions. Calculate your BMR now, if you have not already done so. Based on the level of activity you perform each day, your body needs Expression Total Number of Terms Variable Term(s) Constant Term(s) Coeffi cient of Each Variable Term 66. 4x2 - x + 8 67. -x4 + 3x2 - 5x + 6 68. -6x3 - 7x2 + x - 1 69. 3x 2 - 5 4 70. 7x 2 + 1 3 71. 0.5x2 - 1.8x - 2.1 72. -0.1x2 + 2.5x + 3.6
hendricks_beginning_algebra_1e_ch1_3
To see the actual publication please follow the link above