For example: 3 1 3 1 5x 2y 2y 5x 1. Is 0.315 a rational number or an irrational number? Explain your reasoning. 14x23 4x3 4 x x x Rational, all repeating decimals are rational numbers. 2. Plot the points on a number line: . 032 0, 116 03 0, 0, 2, 0.5, 2 3 √16 3. Use the number line in Exercise 2 to identify whether the statements are true or false. 3 2 03 0 6 2 False ` a. b. 0 ` True 3 2 2 6 0.5 True ` c. d. 03 0 ` True Test 117 Section 1.6 For Exercises 105–112, answers may vary. 105. Give an example of the commutative property of addition. 106. Give an example of the associative property of addition. 107. Give an example of the inverse property of addition. 108. Give an example of the identity property of addition. 109. Give an example of the commutative property of multiplication. 110. Give an example of the associative property of multiplication. 111. Give an example of the inverse property of multiplication. 112. Give an example of the identity property of multiplication. 113. Explain why is the same as . 114. Explain why 3a 9y is the same as 9y 3a. 115. List the terms of the expression: 3y 10x 12 xy 116. Identify the coefficients for the terms listed in Exercise 115. For Exercises 117 and 118, simplify by combining like terms. 117. 3a 3b 4b 5a 10 118. 6p 2q 9 13q p 7 For Exercises 119 and 120, use the distributive property to clear the parentheses. 214z 92 514w 8y 12 119. 120. For Exercises 121–126, simplify the expression. 121. 122. 123. 124. 125. 2p 1p 5w2 3w p 2w 61h 3m2 7h 4m h 14m 14q 1 1 216q2 q 4 a3q 1 4b 0.3b 1210.2 0.5b2 5.7b 2.4 4321x 12 13x 824 4x 24 126. 5317y 32 31y 824 50y 105 For example: 2 3 3 2 For example: 12 32 4 2 13 42 For example: 5 152 0 For example: 7 0 7 For example: 5 2 2 5 For example: 18 2210 812 102 For example: 8 1 8 5x 2y 5x 12y2, then use the commutative property of addition. 3a 9y 3a 19y2, then use the commutative property of addition. 3y, 10x, 12, xy 3, 10, 12, 1 8a b 10 7p 11q 16 8z 18 20w 40y 5 4. Use the definition of exponents to expand the expressions: a. b. 5. a. Translate the expression into an English 21a b2 phrase: . (Answers may vary.) b. Translate the expression into an English phrase: 2a b . (Answers may vary.) 6. Translate the phrase into an algebraic expression: “The quotient of the square root of c and the square of d.” 0 3 2 00.5 14x214x214x2 Twice the difference of a and b b subtracted from twice a 1c d2 or 1c d2 Chapter 1 Test Writing Translating Expression Geometry Scientific Calculator Video
miller_introductory_algebra_3e_ch1_3
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