Chapter 1 Test 89 Evaluate each expression for the specified values of x. Organize the information in a chart. (See Objective 4.) 108. -2x + 7 for x = -4, -3, -2, -1, and 0 109. 2x + 1 x - 3 for x = -2, -1, 0, 1, and 2 110. -x2 + 5 for x = -2, -1, 0, 1, and 2 111. x2 - 2 for x = -2, -1, 0, 1, and 2 112. x2 - x + 1, for x = -2, -1, 0, 1 and 2 113. u5x-1u for x = -4, -2, 0, 2, and 4 Evaluate each expression for the given values of the variables. (See Objective 4.) 114. 2x - 5y for x = -1 and y = 2 115. y2 - y1 x2 - x1 for x1 = -1, x2 = -9, y1 = 1, y2 = -15 116. 2l + 2w for l = 23 and w = 12 117. 1 2 (b1 + b2)h for b1 = 6, b2 = 4, h = 7 118. 1(x1 - x2)2 + (y1 - y2)2 for x1 = -6, x2 = 6, y1 = -5, y2 = 0 119. b2 - 4ac for a = -4, b = 8, c = -3 SECTION 1.7 Identify the property of addition or multiplication applied in each problem. (See Objectives 1 and 2.) 120. 0 + (-8) = -8 121. 1 6 + a- 3 10 b = a- 3 10 b + 1 6 122. c2 + a- 1 3 b d + 4 5 = 2 + a- 1 3 + 4 5 b 123. 12 + (-7 + (-5)) = 0 124. a- 4 3 ba- 3 4 b = 1 125. -24(6 · 7) = (-24 · 6)(7) 126. 5(-1 + 1) = 0 127. -6a5 · 1 5 b =-6 128. (-1.7)(0.8) = (0.8)(-1.7) 129. (-4 · 5)(9) = -4(5 · 9) Use the distributive property to rewrite each expression and simplify the result. (See Objective 3.) 130. -7(x - 12) 131. -5(3x - 4y + 2) 132. 0.5(1.6x - 0.4) 133. 9a- 1 3 x + 1 6 b SECTION 1.8 For each algebraic expression, complete the chart by identifying the total number of terms, the variable terms, the constant terms, and the coefficients of the variable terms. (See Objective 1.) Expression Total Number of Terms Variable Term(s) Constant Term(s) Coeffi cient of Each Variable Term 134. -5x + 11 135. -20x 4 + 13x2 + 5 136. 5x 2 - 3 2 137. -0.2x2 + 3.2 x + 3.6 Determine if the terms are like or unlike. (See Objective 2.) 138. 1.9h, 2.4h, and -h 139. 5x3y and -10x2y 140. 1 4 cd and - 1 8 c2d 141. πr2h and 3πr2 Simplify each algebraic expression. (See Objectives 3 and 4.) 142. -(1 - 5x) + (6x + 4) 143. -4(b)(7) 144. 10(3x - 7) - 26x 145. 4x - 3(1 - 4x) 146. -3(x - 5) - 2(4x + 5) 147. 2.6 - 0.2(-0.3x + 1.5) 148. 4a1 8 x - 3 4 b + 5 149. -15a2 3 y - 1 5 b + 8a1 4 y - 1 2 b 150. 5(2x2 - 1) - 3(x2 + 4) 151. 7x2 + 2(x + 3x2) - 2x 152. 0.3(3x - 1) + 0.2(x + 5) - 2.6 153. 2.8 + 0.3(4x - 1) 154. 3.2 - 0.4(2x + 1.5) 155. 3(0.7x - 6) + 20(0.3) CHAPTER 1 TEST / REAL NUMBERS AND ALGEBRAIC EXPRESSIONS 1. The number that is not a natural number is a. (-2)2 b. 125 c. 9 - 3 4 - 2 d. 3 - 4(2) 2. Provide an example of a rational number that is also an integer. 3. The number that is an irrational number is a. 162 + 82 b. 4π c. 4 + 5(-2) 32 d. 0 -4
hendricks_beginning_algebra_1e_ch1_3
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