Problem 1RE: For Exercises 1-4, identify as a proper or improper fraction. 14 5 Problem 2RE: For Exercises 1-4, identify as a proper or improper fraction. 1 6 Problem 3RE: For Exercises 1-4, identify as a proper or improper fraction. 3 3 Problem 4RE: For Exercises 1-4, identify as a proper or improper fraction. 7 1 Problem 5RE: Write 112 as a product of primes. Problem 6RE Problem 7RE: For Exercises 7-12, perform the indicated operations. 2 9 + 3 4 Problem 8RE: For Exercises 7-12, perform the indicated operations. 7 8 − 1 16 Problem 9RE: For Exercises 7-12, perform the indicated operations. 21 24 × 16 49 Problem 10RE: For Exercises 7-12, perform the indicated operations.
10.
Problem 11RE: For Exercises 7-12, perform the indicated operations.
11.
Problem 12RE: For Exercises 7-12, perform the indicated operations. 3 4 5 − 2 1 10 Problem 13RE: The surface area of the Earth is approximately 510 million km 2 . If water covers about 7 10 of the... Problem 14RE: 14. Given the set,
a. List the natural numbers.
b. List the integers.
c. List the whole... Problem 15RE: For Exercises 15-18, determine the absolute value.
15.
Problem 16RE: For Exercises 15-18, determine the absolute value. | − 6 | Problem 17RE: For Exercises 15-18, determine the absolute value. | − 7 | Problem 18RE: For Exercises 15-18, determine the absolute value. | 0 | Problem 19RE: For Exercises 19-27, identify whether the inequality is true or false. − 6 > − 1 Problem 20RE: For Exercises 19-27, identify whether the inequality is true or false. 0 < − 5 Problem 21RE: For Exercises 19-27, identify whether the inequality is true or false. − 10 ≤ 0 Problem 22RE: For Exercises 19-27, identify whether the inequality is true or false. 5 ≠ − 5 Problem 23RE: For Exercises 19-27, identify whether the inequality is true or false. 7 ≥ 7 Problem 24RE: For Exercises 19-27, identify whether the inequality is true or false. 7 ≥ − 7 Problem 25RE: For Exercises 19-27, identify whether the inequality is true or false.
25.
Problem 26RE: For Exercises 19-27, identify whether the inequality is true or false. − 2 3 ≤ − 2 3 Problem 27RE: For Exercises 19-27, identify whether the inequality is true or false. | − 3 | > − | 3 | Problem 28RE: For Exercises 28-31, evaluate each expression for x = 8 , y = 4 , and z = 1 . x − 2 y Problem 29RE: For Exercises 28-31, evaluate each expression for x = 8 , y = 4 , and z = 1 . x 2 − y Problem 30RE: For Exercises 28-31, evaluate each expression for x = 8 , y = 4 , and z = 1 . x + z Problem 31RE: For Exercises 28-31, evaluate each expression for, and.
31.
Problem 32RE: For Exercises 32-37, write each English phrase as an algebraic expression. The product of x and 2 3 Problem 33RE: For Exercises 32-37, write each English phrase as an algebraic expression. The quotient of 7 and y Problem 34RE: For Exercises 32-37, write each English phrase as an algebraic expression. The sum of 2 and 3b Problem 35RE: For Exercises 32-37, write each English phrase as an algebraic expression.
35. The difference of a... Problem 36RE: For Exercises 32-37, write each English phrase as an algebraic expression. Two more than 5k Problem 37RE: For Exercises 32-37, write each English phrase as an algebraic expression. Seven less than 13z Problem 38RE: For Exercises 38-43, simplify the expressions. 6 3 Problem 39RE: For Exercises 38-43, simplify the expressions.
39.
Problem 40RE: For Exercises 38-43, simplify the expressions. 36 Problem 41RE: For Exercises 38-43, simplify the expressions.
41.
Problem 42RE: For Exercises 38-43, simplify the expressions. ( 1 4 ) 2 Problem 43RE: For Exercises 38-43, simplify the expressions. ( 3 2 ) 3 Problem 44RE: For Exercises 44-47, perform the indicated operations. 15 − 7 ⋅ 2 + 12 Problem 45RE: For Exercises 44-47, perform the indicated operations. | − 11 | + | 5 | − ( 7 − 2 ) Problem 46RE: For Exercises 44-47, perform the indicated operations. 4 2 − ( 5 − 2 ) 2 Problem 47RE: For Exercises 44-47, perform the indicated operations.
47.
Problem 48RE: For Exercises 48-60, add. − 6 + 8 Problem 49RE: For Exercises 48-60, add. 14 + ( − 10 ) Problem 50RE: For Exercises 48-60, add. 21 + ( − 6 ) Problem 51RE: For Exercises 48-60, add. − 12 + ( − 5 ) Problem 52RE: For Exercises 48-60, add. 2 7 + ( − 1 9 ) Problem 53RE: For Exercises 48-60, add. ( − 8 11 ) + ( 1 2 ) Problem 54RE: For Exercises 48-60, add. ( − 1 10 ) + ( − 5 6 ) Problem 55RE: For Exercises 48-60, add. ( − 5 2 ) + ( − 1 5 ) Problem 56RE: For Exercises 48-60, add. − 8.17 + 6.02 Problem 57RE: For Exercises 48-60, add. 2.9 + ( − 7.18 ) Problem 58RE: For Exercises 48-60, add. 13 + ( − 2 ) + ( − 8 ) Problem 59RE: For Exercises 48-60, add.
59.
Problem 60RE: For Exercises 48-60, add.
60.
Problem 61RE: Under what conditions will the expression a + b be negative? Problem 62RE: 62. Richard’s checkbook was overdrawn by $45 (that is, his balance was –45). He deposited $117 but... Problem 63RE: For Exercises 63-75, subtract. 13 − 25 Problem 64RE: For Exercises 63-75, subtract. 31 − ( − 2 ) Problem 65RE: For Exercises 63-75, subtract. − 8 − ( − 7 ) Problem 66RE: For Exercises 63-75, subtract. − 2 − 15 Problem 67RE: For Exercises 63-75, subtract. ( − 7 9 ) − 5 6 Problem 68RE: For Exercises 63-75, subtract. 1 3 − 9 8 Problem 69RE: For Exercises 63-75, subtract. 7 − 8.2 Problem 70RE: For Exercises 63-75, subtract. − 1.05 − 3.2 Problem 71RE Problem 72RE Problem 73RE Problem 74RE Problem 75RE Problem 76RE Problem 77RE: For Exercises 77-81, write an algebraic expression and simplify. –18 subtracted from –7 Problem 78RE Problem 79RE Problem 80RE Problem 81RE Problem 82RE Problem 83RE Problem 84RE Problem 85RE Problem 86RE Problem 87RE Problem 88RE Problem 89RE Problem 90RE: For Exercises 83-100, multiply or divide as indicated. 3 4 ÷ 0 Problem 91RE Problem 92RE Problem 93RE Problem 94RE Problem 95RE Problem 96RE Problem 97RE Problem 98RE Problem 99RE Problem 100RE: For Exercises 83-100, multiply or divide as indicated. 10 11 ÷ 7 11 ÷ 5 9 Problem 101RE: For Exercises 101-106, perform the indicated operations. 9 − 4 [ − 2 ( 4 − 8 ) − 5 ( 3 − 1 ) ] Problem 102RE Problem 103RE Problem 104RE Problem 105RE Problem 106RE Problem 107RE Problem 108RE Problem 109RE: For Exercises 107-110, evaluate each expression given the values x = 4 and y = − 9 . − x y Problem 110RE Problem 111RE Problem 112RE Problem 113RE Problem 114RE Problem 115RE Problem 116RE Problem 117RE Problem 118RE Problem 119RE Problem 120RE Problem 121RE Problem 122RE Problem 123RE Problem 124RE Problem 125RE Problem 126RE Problem 127RE Problem 128RE Problem 129RE Problem 130RE: Identify the coefficients for the terms listed in Exercise 129. Problem 131RE Problem 132RE Problem 133RE Problem 134RE Problem 135RE Problem 136RE Problem 137RE Problem 138RE Problem 139RE Problem 140RE Problem 1T: 1. Simplify.
Problem 2T: Add and subtract. 5 4 − 5 12 + 2 3 Problem 3T: 3. Divide.
Problem 4T: Subtract. 4 1 4 − 1 7 8 Problem 5T: Is 0. 315 ¯ a rational number or an irrational number? Explain your reasoning. Problem 6T: Use the definition of exponents to expand the expressions: a. ( 4 x ) 3 b. 4 x 3 Problem 7T: Plot the points on a number line: | 3 | , 0 , − 2 , 0.5 , | − 3 2 | , 16 . Problem 8T: 8. Use the number line in Exercise 7 to identify whether the statements are true or false.
a. b.... Problem 9T: Identify the property that justifies each statement. a. 6 ( − 8 ) = ( − 8 ) 6 b. 5 + 0 = 0 c. ( 2 +... Problem 10T: 10. Write each expression as an English phrase.
a. b. . (Answers may vary.)
Problem 11T: Write the phrase as an algebraic expression: “The quotient of the square root of c and the square of... Problem 12T: For Exercises 12-14, write each English statement as an algebraic expression. Then simplify the... Problem 13T: For Exercises 12-14, write each English statement as an algebraic expression. Then simplify the... Problem 14T: For Exercises 12-14, write each English statement as an algebraic expression. Then simplify the... Problem 15T: For Exercises 15-29, perform the indicated operations − 1 8 + ( − 3 4 ) Problem 16T: For Exercises 15-29, perform the indicated operations − 84 ÷ 7 Problem 17T: For Exercises 15-29, perform the indicated operations 21 − ( − 7 ) Problem 18T: For Exercises 15-29, perform the indicated operations
18.
Problem 19T: For Exercises 15-29, perform the indicated operations − 14 + ( − 2 ) − 16 Problem 20T: For Exercises 15-29, perform the indicated operations ( − 16 ) ( − 2 ) ( − 1 ) ( − 3 ) Problem 21T: For Exercises 15-29, perform the indicated operations
21.
Problem 22T: For Exercises 15-29, perform the indicated operations 38 ÷ 0 Problem 23T: For Exercises 15-29, perform the indicated operations 18 + ( − 12 ) Problem 24T: For Exercises 15-29, perform the indicated operations − 10.06 − ( − 14.72 ) Problem 25T: For Exercises 15-29, perform the indicated operations 7 ( − 4 ) Problem 26T: For Exercises 15-29, perform the indicated operations 2 5 ÷ ( − 7 10 ) ⋅ ( − 7 6 ) Problem 27T: For Exercises 15-29, perform the indicated operations 5 2 − 4 2 | − 12 + 3 | Problem 28T: For Exercises 15-29, perform the indicated operations 8 − [ ( 2 − 4 ) − ( 8 − 9 ) ] Problem 29T: For Exercises 15-29, perform the indicated operations ( 8 − 10 ) ⋅ 3 2 + ( − 5 ) Problem 30T: The average high temperature in January for Nova Scotia, Canada, is –1.2°C. The average low is... Problem 31T: 31. In the third quarter of a football game, a quarterback made a 5-yd gain, a 2-yd gain, a 10-yd... Problem 32T: For Exercises 32-36, simplify each expression. 3 k − 20 + ( − 9 k ) + 12 Problem 33T: For Exercises 32-36, simplify each expression. − 5 x − 4 y + 3 − 7 x + 6 y − 7 Problem 34T: For Exercises 32-36, simplify each expression. 4 ( p − 5 ) − ( 8 p + 3 ) Problem 35T: For Exercises 32-36, simplify each expression. − 3 ( 4 m + 8 p − 7 ) Problem 36T: For Exercises 32-36, simplify each expression. 1 2 ( 12 p − 4 ) + 1 3 ( 2 − 6 p ) Problem 37T: For Exercises 37-40, evaluate each expression given the values x = 4 and y = − 3 and z = − 7 . y 2 −... Problem 38T: For Exercises 37-40, evaluate each expression given the values x = 4 and y = − 3 and z = − 7 . 3 x −... Problem 39T: For Exercises 37-40, evaluate each expression given the values x = 4 and y = − 3 and z = − 7 . y ( x... Problem 40T: For Exercises 37-40, evaluate each expression given the values x = 4 and y = − 3 and z = − 7 . − y 2... format_list_bulleted
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