Path To College Mathematics
Path To College Mathematics
1st Edition
ISBN: 9780134654409
Author: Martin-Gay, K. Elayn, 1955-
Publisher: Pearson,
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Concept explainers

Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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Chapter 1.4, Problem 38ES
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You manage a chemical company with 2 warehouses. The following quantities of Important Chemical A have arrived from an international supplier at 3 different ports: Chemical Available (L) Port 1 Port 2 Port 3 400 110 100 The following amounts of Important Chemical A are required at your warehouses: Warehouse 1 Warehouse 2 Chemical Required (L) 380 230 The cost in £ to ship 1L of chemical from each port to each warehouse is as follows: Warehouse 1 Warehouse 2 Port 1 £10 £45 Port 2 £20 £28 Port 3 £13 £11 (a) You want to know how to send these shipments as cheaply as possible. For- mulate this as a linear program (you do not need to formulate it in standard inequality form) indicating what each variable represents.
a) Suppose that we are carrying out the 1-phase simplex algorithm on a linear program in standard inequality form (with 3 variables and 4 constraints) and suppose that we have reached a point where we have obtained the following tableau. Apply one more pivot operation, indicating the highlighted row and column and the row operations you carry out. What can you conclude from your updated tableau? x1 12 23 81 82 83 S4 $1 -20 1 1 0 0 0 3 82 3 0 -2 0 1 2 0 6 12 1 1 -3 0 0 1 0 2 84 -3 0 2 0 0 -1 1 4 2 -2 0 11 0 0 -4 0 -8 b) Solve the following linear program using the 2-phase simplex algorithm. You should give the initial tableau and each further tableau produced during the execution of the algorithm. If the program has an optimal solution, give this solution and state its objective value. If it does not have an optimal solution, say why. maximize 21 - - 2x2 + x3 - 4x4 subject to 2x1+x22x3x4≥ 1, 5x1+x2-x3-4 -1, 2x1+x2-x3-342, 1, 2, 3, 4 ≥0.
Suppose we have a linear program in standard equation form maximize c'x subject to Ax=b, x≥ 0. and suppose u, v, and w are all optimal solutions to this linear program. (a) Prove that zu+v+w is an optimal solution. (b) If you try to adapt your proof from part (a) to prove that that u+v+w is an optimal solution, say exactly which part(s) of the proof go wrong. (c) If you try to adapt your proof from part (a) to prove that u+v-w is an optimal solution, say exactly which part(s) of the proof go wrong.

Chapter 1 Solutions

Path To College Mathematics

Ch. 1.1 - What does the icon in this text mean?Ch. 1.1 - Prob. 12ESCh. 1.1 - What does the icon in this text mean?Ch. 1.1 - Prob. 14ESCh. 1.1 - Prob. 15ESCh. 1.1 - Prob. 16ESCh. 1.1 - What answers are contained in this text and where...Ch. 1.1 - What are Study Skills Builders and where are they?Ch. 1.1 - Prob. 19ESCh. 1.1 - Prob. 20ES
Ch. 1.1 - Prob. 21ESCh. 1.1 - Prob. 22ESCh. 1.1 - Prob. 23ESCh. 1.1 - Chapter Tests are at the end of each chapter. Find...Ch. 1.1 - Getting Ready for the Tests are at the end of each...Ch. 1.1 - What is the Video Organizer? Explain the contents...Ch. 1.1 - Explain how the Video Organizer can help you when...Ch. 1.2 - Insert , , or = in the appropriate space to make...Ch. 1.2 - Prob. 2ESCh. 1.2 - Prob. 3ESCh. 1.2 - Prob. 4ESCh. 1.2 - Prob. 5ESCh. 1.2 - Prob. 6ESCh. 1.2 - Prob. 7ESCh. 1.2 - Prob. 8ESCh. 1.2 - Prob. 9ESCh. 1.2 - Prob. 10ESCh. 1.2 - Prob. 11ESCh. 1.2 - Prob. 12ESCh. 1.2 - Prob. 13ESCh. 1.2 - Prob. 14ESCh. 1.2 - Prob. 15ESCh. 1.2 - Prob. 16ESCh. 1.2 - Prob. 17ESCh. 1.2 - Prob. 18ESCh. 1.2 - Prob. 19ESCh. 1.2 - Prob. 20ESCh. 1.2 - Prob. 21ESCh. 1.2 - Prob. 22ESCh. 1.2 - Prob. 23ESCh. 1.2 - Prob. 24ESCh. 1.2 - Prob. 25ESCh. 1.2 - Prob. 26ESCh. 1.2 - Prob. 27ESCh. 1.2 - Prob. 28ESCh. 1.2 - Prob. 29ESCh. 1.2 - Prob. 30ESCh. 1.2 - Use integers to represent the values in each...Ch. 1.2 - Prob. 32ESCh. 1.2 - Prob. 33ESCh. 1.2 - Use integers to represent the values in each...Ch. 1.2 - Prob. 35ESCh. 1.2 - Prob. 36ESCh. 1.2 - Prob. 37ESCh. 1.2 - Prob. 38ESCh. 1.2 - Prob. 39ESCh. 1.2 - Prob. 40ESCh. 1.2 - Prob. 41ESCh. 1.2 - Prob. 42ESCh. 1.2 - Prob. 43ESCh. 1.2 - Prob. 44ESCh. 1.2 - Prob. 45ESCh. 1.2 - Prob. 46ESCh. 1.2 - Prob. 47ESCh. 1.2 - Prob. 48ESCh. 1.2 - Prob. 49ESCh. 1.2 - Prob. 50ESCh. 1.2 - Prob. 51ESCh. 1.2 - Prob. 52ESCh. 1.2 - Prob. 53ESCh. 1.2 - Prob. 54ESCh. 1.2 - Prob. 55ESCh. 1.2 - Prob. 56ESCh. 1.2 - Prob. 57ESCh. 1.2 - Prob. 58ESCh. 1.2 - Prob. 59ESCh. 1.2 - Prob. 60ESCh. 1.2 - Prob. 61ESCh. 1.2 - Prob. 62ESCh. 1.2 - Prob. 63ESCh. 1.2 - Prob. 64ESCh. 1.2 - Prob. 65ESCh. 1.2 - Prob. 66ESCh. 1.2 - Prob. 67ESCh. 1.2 - Prob. 68ESCh. 1.2 - Prob. 69ESCh. 1.2 - Prob. 70ESCh. 1.2 - Prob. 71ESCh. 1.2 - Prob. 72ESCh. 1.2 - Prob. 73ESCh. 1.2 - Prob. 74ESCh. 1.2 - Prob. 75ESCh. 1.2 - Prob. 76ESCh. 1.2 - Prob. 77ESCh. 1.2 - Prob. 78ESCh. 1.2 - Prob. 79ESCh. 1.2 - Prob. 80ESCh. 1.2 - Prob. 81ESCh. 1.2 - Prob. 82ESCh. 1.2 - Prob. 83ESCh. 1.2 - Prob. 84ESCh. 1.2 - Prob. 85ESCh. 1.2 - Prob. 86ESCh. 1.2 - Prob. 87ESCh. 1.2 - Prob. 88ESCh. 1.2 - Prob. 89ESCh. 1.2 - Prob. 90ESCh. 1.2 - Prob. 91ESCh. 1.2 - Prob. 92ESCh. 1.2 - Prob. 93ESCh. 1.2 - Prob. 94ESCh. 1.2 - Prob. 95ESCh. 1.2 - Prob. 96ESCh. 1.2 - Prob. 97ESCh. 1.2 - Prob. 98ESCh. 1.2 - Prob. 99ESCh. 1.2 - Prob. 100ESCh. 1.2 - Prob. 101ESCh. 1.2 - Prob. 102ESCh. 1.3 - Prob. 1ESCh. 1.3 - Prob. 2ESCh. 1.3 - Prob. 3ESCh. 1.3 - Prob. 4ESCh. 1.3 - Prob. 5ESCh. 1.3 - Prob. 6ESCh. 1.3 - Prob. 7ESCh. 1.3 - Prob. 8ESCh. 1.3 - Prob. 9ESCh. 1.3 - Prob. 10ESCh. 1.3 - Prob. 11ESCh. 1.3 - Prob. 12ESCh. 1.3 - Prob. 13ESCh. 1.3 - Prob. 14ESCh. 1.3 - Prob. 15ESCh. 1.3 - Prob. 16ESCh. 1.3 - Prob. 17ESCh. 1.3 - Prob. 18ESCh. 1.3 - Prob. 19ESCh. 1.3 - Prob. 20ESCh. 1.3 - Prob. 21ESCh. 1.3 - Prob. 22ESCh. 1.3 - Prob. 23ESCh. 1.3 - Prob. 24ESCh. 1.3 - Prob. 25ESCh. 1.3 - Prob. 26ESCh. 1.3 - Prob. 27ESCh. 1.3 - Prob. 28ESCh. 1.3 - Prob. 29ESCh. 1.3 - Prob. 30ESCh. 1.3 - Prob. 31ESCh. 1.3 - Prob. 32ESCh. 1.3 - Prob. 33ESCh. 1.3 - Prob. 34ESCh. 1.3 - Prob. 35ESCh. 1.3 - Prob. 36ESCh. 1.3 - Prob. 37ESCh. 1.3 - Prob. 38ESCh. 1.3 - Prob. 39ESCh. 1.3 - Prob. 40ESCh. 1.3 - Prob. 41ESCh. 1.3 - Prob. 42ESCh. 1.3 - Prob. 43ESCh. 1.3 - Prob. 44ESCh. 1.3 - Prob. 45ESCh. 1.3 - Prob. 46ESCh. 1.3 - Prob. 47ESCh. 1.3 - Prob. 48ESCh. 1.3 - Prob. 49ESCh. 1.3 - Prob. 50ESCh. 1.3 - Evaluate each expression when x=1,y=3, and z=5....Ch. 1.3 - Prob. 52ESCh. 1.3 - Prob. 53ESCh. 1.3 - Prob. 54ESCh. 1.3 - Prob. 55ESCh. 1.3 - Prob. 56ESCh. 1.3 - Prob. 57ESCh. 1.3 - Prob. 58ESCh. 1.3 - Prob. 59ESCh. 1.3 - Prob. 60ESCh. 1.3 - Prob. 61ESCh. 1.3 - Prob. 62ESCh. 1.3 - Prob. 63ESCh. 1.3 - Prob. 64ESCh. 1.3 - Prob. 65ESCh. 1.3 - Prob. 66ESCh. 1.3 - Prob. 67ESCh. 1.3 - Prob. 68ESCh. 1.3 - Prob. 69ESCh. 1.3 - Prob. 70ESCh. 1.3 - Prob. 71ESCh. 1.3 - Prob. 72ESCh. 1.3 - Prob. 73ESCh. 1.3 - Prob. 74ESCh. 1.3 - Prob. 75ESCh. 1.3 - Prob. 76ESCh. 1.3 - Prob. 77ESCh. 1.3 - Prob. 78ESCh. 1.3 - Prob. 79ESCh. 1.3 - Prob. 80ESCh. 1.3 - Prob. 81ESCh. 1.3 - Prob. 82ESCh. 1.3 - Prob. 83ESCh. 1.3 - Prob. 84ESCh. 1.3 - Prob. 85ESCh. 1.3 - Prob. 86ESCh. 1.3 - Prob. 87ESCh. 1.3 - Prob. 88ESCh. 1.3 - Prob. 89ESCh. 1.3 - Prob. 90ESCh. 1.3 - Prob. 91ESCh. 1.3 - Prob. 92ESCh. 1.3 - Prob. 93ESCh. 1.3 - Prob. 94ESCh. 1.3 - Prob. 95ESCh. 1.3 - Prob. 96ESCh. 1.3 - Prob. 97ESCh. 1.3 - Prob. 98ESCh. 1.3 - Prob. 99ESCh. 1.3 - Prob. 100ESCh. 1.3 - Prob. 101ESCh. 1.3 - Prob. 102ESCh. 1.3 - Prob. 103ESCh. 1.3 - Prob. 104ESCh. 1.3 - Prob. 105ESCh. 1.3 - Prob. 106ESCh. 1.3 - Prob. 107ESCh. 1.3 - Prob. 108ESCh. 1.3 - Prob. 109ESCh. 1.3 - Prob. 110ESCh. 1.3 - Determine whether each is an expression or an...Ch. 1.3 - Prob. 112ESCh. 1.3 - Prob. 113ESCh. 1.3 - Prob. 114ESCh. 1.3 - Prob. 115ESCh. 1.3 - Prob. 116ESCh. 1.3 - Prob. 117ESCh. 1.3 - Determine whether each is an expression or an...Ch. 1.3 - Prob. 1IRCh. 1.3 - Prob. 2IRCh. 1.3 - Prob. 3IRCh. 1.3 - Prob. 4IRCh. 1.3 - Prob. 5IRCh. 1.3 - Prob. 6IRCh. 1.3 - Prob. 7IRCh. 1.3 - Prob. 8IRCh. 1.3 - Prob. 9IRCh. 1.3 - Prob. 10IRCh. 1.3 - Prob. 11IRCh. 1.3 - Prob. 12IRCh. 1.3 - Prob. 13IRCh. 1.3 - Prob. 14IRCh. 1.3 - Prob. 15IRCh. 1.3 - Prob. 16IRCh. 1.3 - Prob. 17IRCh. 1.3 - Prob. 18IRCh. 1.3 - Prob. 19IRCh. 1.3 - Prob. 20IRCh. 1.3 - Prob. 21IRCh. 1.3 - Prob. 22IRCh. 1.3 - Prob. 23IRCh. 1.3 - Prob. 24IRCh. 1.4 - Prob. 1ESCh. 1.4 - Prob. 2ESCh. 1.4 - Add or subtract as indicated. See Examples 1...Ch. 1.4 - Prob. 4ESCh. 1.4 - Prob. 5ESCh. 1.4 - Prob. 6ESCh. 1.4 - Prob. 7ESCh. 1.4 - Prob. 8ESCh. 1.4 - Prob. 9ESCh. 1.4 - Prob. 10ESCh. 1.4 - Prob. 11ESCh. 1.4 - Prob. 12ESCh. 1.4 - Prob. 13ESCh. 1.4 - Prob. 14ESCh. 1.4 - Prob. 15ESCh. 1.4 - Prob. 16ESCh. 1.4 - Prob. 17ESCh. 1.4 - Prob. 18ESCh. 1.4 - Prob. 19ESCh. 1.4 - Prob. 20ESCh. 1.4 - Prob. 21ESCh. 1.4 - Prob. 22ESCh. 1.4 - Prob. 23ESCh. 1.4 - Prob. 24ESCh. 1.4 - Prob. 25ESCh. 1.4 - Prob. 26ESCh. 1.4 - Prob. 27ESCh. 1.4 - Prob. 28ESCh. 1.4 - Prob. 29ESCh. 1.4 - Prob. 30ESCh. 1.4 - Prob. 31ESCh. 1.4 - Prob. 32ESCh. 1.4 - Prob. 33ESCh. 1.4 - Prob. 34ESCh. 1.4 - Prob. 35ESCh. 1.4 - Prob. 36ESCh. 1.4 - Prob. 37ESCh. 1.4 - Prob. 38ESCh. 1.4 - Prob. 39ESCh. 1.4 - Prob. 40ESCh. 1.4 - Prob. 41ESCh. 1.4 - Prob. 42ESCh. 1.4 - Prob. 43ESCh. 1.4 - Prob. 44ESCh. 1.4 - Prob. 45ESCh. 1.4 - Prob. 46ESCh. 1.4 - Prob. 47ESCh. 1.4 - Prob. 48ESCh. 1.4 - Prob. 49ESCh. 1.4 - Prob. 50ESCh. 1.4 - Prob. 51ESCh. 1.4 - Prob. 52ESCh. 1.4 - Prob. 53ESCh. 1.4 - Prob. 54ESCh. 1.4 - Prob. 55ESCh. 1.4 - Prob. 56ESCh. 1.4 - Prob. 57ESCh. 1.4 - Prob. 58ESCh. 1.4 - Prob. 59ESCh. 1.4 - Prob. 60ESCh. 1.4 - Prob. 61ESCh. 1.4 - Prob. 62ESCh. 1.4 - Prob. 63ESCh. 1.4 - Prob. 64ESCh. 1.4 - Prob. 65ESCh. 1.4 - Prob. 66ESCh. 1.4 - Prob. 67ESCh. 1.4 - Prob. 68ESCh. 1.4 - Prob. 69ESCh. 1.4 - Prob. 70ESCh. 1.4 - Prob. 71ESCh. 1.4 - Prob. 72ESCh. 1.4 - Prob. 73ESCh. 1.4 - Prob. 74ESCh. 1.4 - Prob. 75ESCh. 1.4 - Prob. 76ESCh. 1.4 - Prob. 77ESCh. 1.4 - Prob. 78ESCh. 1.4 - Prob. 79ESCh. 1.4 - Prob. 80ESCh. 1.4 - Prob. 81ESCh. 1.4 - Prob. 82ESCh. 1.4 - Prob. 83ESCh. 1.4 - Prob. 84ESCh. 1.4 - Prob. 85ESCh. 1.4 - Prob. 86ESCh. 1.4 - Prob. 87ESCh. 1.4 - Prob. 88ESCh. 1.4 - Prob. 89ESCh. 1.4 - Prob. 90ESCh. 1.4 - Prob. 91ESCh. 1.4 - Prob. 92ESCh. 1.4 - Prob. 93ESCh. 1.4 - Prob. 94ESCh. 1.4 - Prob. 95ESCh. 1.4 - Prob. 96ESCh. 1.4 - Prob. 97ESCh. 1.4 - Prob. 98ESCh. 1.4 - Prob. 99ESCh. 1.4 - Prob. 100ESCh. 1.4 - Prob. 101ESCh. 1.4 - Prob. 102ESCh. 1.4 - Prob. 103ESCh. 1.4 - Prob. 104ESCh. 1.4 - Prob. 105ESCh. 1.4 - Prob. 106ESCh. 1.4 - Prob. 107ESCh. 1.4 - Prob. 108ESCh. 1.4 - Prob. 109ESCh. 1.4 - Prob. 110ESCh. 1.4 - Prob. 111ESCh. 1.4 - Prob. 112ESCh. 1.4 - Prob. 113ESCh. 1.4 - Prob. 114ESCh. 1.4 - Prob. 115ESCh. 1.4 - Prob. 116ESCh. 1.4 - Prob. 117ESCh. 1.4 - Prob. 118ESCh. 1.4 - Prob. 119ESCh. 1.4 - Prob. 120ESCh. 1.4 - Prob. 121ESCh. 1.4 - Prob. 122ESCh. 1.4 - Prob. 123ESCh. 1.4 - Prob. 124ESCh. 1.4 - Prob. 125ESCh. 1.4 - Prob. 126ESCh. 1.4 - Prob. 127ESCh. 1.4 - Prob. 128ESCh. 1.4 - Prob. 129ESCh. 1.4 - Prob. 130ESCh. 1.4 - Prob. 131ESCh. 1.4 - Prob. 132ESCh. 1.4 - Prob. 133ESCh. 1.4 - Prob. 134ESCh. 1.4 - Prob. 135ESCh. 1.4 - Prob. 136ESCh. 1.4 - Prob. 137ESCh. 1.4 - Prob. 138ESCh. 1.4 - Prob. 139ESCh. 1.4 - Prob. 140ESCh. 1.4 - Prob. 141ESCh. 1.4 - Prob. 142ESCh. 1.5 - Prob. 1ESCh. 1.5 - Prob. 2ESCh. 1.5 - Prob. 3ESCh. 1.5 - Prob. 4ESCh. 1.5 - Prob. 5ESCh. 1.5 - Prob. 6ESCh. 1.5 - Prob. 7ESCh. 1.5 - Prob. 8ESCh. 1.5 - Prob. 9ESCh. 1.5 - Prob. 10ESCh. 1.5 - Prob. 11ESCh. 1.5 - Prob. 12ESCh. 1.5 - Prob. 13ESCh. 1.5 - Prob. 14ESCh. 1.5 - Prob. 15ESCh. 1.5 - Prob. 16ESCh. 1.5 - Prob. 17ESCh. 1.5 - Prob. 18ESCh. 1.5 - Prob. 19ESCh. 1.5 - Use the commutative and associative properties to...Ch. 1.5 - Prob. 21ESCh. 1.5 - Prob. 22ESCh. 1.5 - Prob. 23ESCh. 1.5 - Prob. 24ESCh. 1.5 - Prob. 25ESCh. 1.5 - Prob. 26ESCh. 1.5 - Prob. 27ESCh. 1.5 - Prob. 28ESCh. 1.5 - Prob. 29ESCh. 1.5 - Prob. 30ESCh. 1.5 - Prob. 31ESCh. 1.5 - Prob. 32ESCh. 1.5 - Prob. 33ESCh. 1.5 - Prob. 34ESCh. 1.5 - Prob. 35ESCh. 1.5 - Prob. 36ESCh. 1.5 - Prob. 37ESCh. 1.5 - Prob. 38ESCh. 1.5 - Prob. 39ESCh. 1.5 - Prob. 40ESCh. 1.5 - Prob. 41ESCh. 1.5 - Prob. 42ESCh. 1.5 - Prob. 43ESCh. 1.5 - Prob. 44ESCh. 1.5 - Prob. 45ESCh. 1.5 - Prob. 46ESCh. 1.5 - Prob. 47ESCh. 1.5 - Prob. 48ESCh. 1.5 - Prob. 49ESCh. 1.5 - Prob. 50ESCh. 1.5 - Prob. 51ESCh. 1.5 - Prob. 52ESCh. 1.5 - Use the distributive property to write each...Ch. 1.5 - Prob. 54ESCh. 1.5 - Prob. 55ESCh. 1.5 - Prob. 56ESCh. 1.5 - Prob. 57ESCh. 1.5 - Prob. 58ESCh. 1.5 - Prob. 59ESCh. 1.5 - Prob. 60ESCh. 1.5 - Prob. 61ESCh. 1.5 - Prob. 62ESCh. 1.5 - Prob. 63ESCh. 1.5 - Prob. 64ESCh. 1.5 - Prob. 65ESCh. 1.5 - Prob. 66ESCh. 1.5 - Prob. 67ESCh. 1.5 - Prob. 68ESCh. 1.5 - Prob. 69ESCh. 1.5 - Prob. 70ESCh. 1.5 - Prob. 71ESCh. 1.5 - Prob. 72ESCh. 1.5 - Prob. 73ESCh. 1.5 - Prob. 74ESCh. 1.5 - Prob. 75ESCh. 1.5 - Prob. 76ESCh. 1.5 - Prob. 77ESCh. 1.5 - Prob. 78ESCh. 1.5 - Prob. 79ESCh. 1.5 - Prob. 80ESCh. 1.5 - Prob. 81ESCh. 1.5 - Prob. 82ESCh. 1.5 - Prob. 83ESCh. 1.5 - Prob. 84ESCh. 1.5 - Prob. 85ESCh. 1.5 - Prob. 86ESCh. 1.5 - Prob. 87ESCh. 1.5 - Prob. 88ESCh. 1.5 - Prob. 89ESCh. 1.5 - Prob. 90ESCh. 1.5 - Prob. 91ESCh. 1.5 - Prob. 92ESCh. 1.5 - Prob. 93ESCh. 1.5 - Prob. 94ESCh. 1.5 - Prob. 95ESCh. 1.5 - Prob. 96ESCh. 1.5 - Prob. 97ESCh. 1.5 - Prob. 98ESCh. 1.5 - Prob. 99ESCh. 1.5 - Prob. 100ESCh. 1.5 - Prob. 101ESCh. 1.5 - Prob. 102ESCh. 1.5 - Prob. 103ESCh. 1.5 - Prob. 104ESCh. 1.5 - Name the property illustrated by each step. Write...Ch. 1.5 - Name the property illustrated by each step. Write...Ch. 1 - Prob. 1VCCh. 1 - Prob. 2VCCh. 1 - Prob. 3VCCh. 1 - Prob. 4VCCh. 1 - Prob. 5VCCh. 1 - Prob. 6VCCh. 1 - Prob. 7VCCh. 1 - Prob. 8VCCh. 1 - Prob. 9VCCh. 1 - Prob. 10VCCh. 1 - Prob. 1RCh. 1 - Prob. 2RCh. 1 - Prob. 3RCh. 1 - Prob. 4RCh. 1 - Prob. 5RCh. 1 - Prob. 6RCh. 1 - Prob. 7RCh. 1 - Prob. 8RCh. 1 - Prob. 9RCh. 1 - Prob. 10RCh. 1 - Prob. 11RCh. 1 - Prob. 12RCh. 1 - Prob. 13RCh. 1 - Prob. 14RCh. 1 - Prob. 15RCh. 1 - Prob. 16RCh. 1 - Prob. 17RCh. 1 - Prob. 18RCh. 1 - Prob. 19RCh. 1 - Prob. 20RCh. 1 - Prob. 21RCh. 1 - Prob. 22RCh. 1 - Prob. 23RCh. 1 - Prob. 24RCh. 1 - Prob. 25RCh. 1 - Prob. 26RCh. 1 - Prob. 27RCh. 1 - Prob. 28RCh. 1 - Prob. 29RCh. 1 - Prob. 30RCh. 1 - Prob. 31RCh. 1 - Prob. 32RCh. 1 - Prob. 33RCh. 1 - Prob. 34RCh. 1 - Prob. 35RCh. 1 - Prob. 36RCh. 1 - Prob. 37RCh. 1 - Prob. 38RCh. 1 - Prob. 39RCh. 1 - Decide whether the given number is a solution of...Ch. 1 - Prob. 41RCh. 1 - Prob. 42RCh. 1 - Prob. 43RCh. 1 - Prob. 44RCh. 1 - Prob. 45RCh. 1 - Prob. 46RCh. 1 - Prob. 47RCh. 1 - Prob. 48RCh. 1 - Prob. 49RCh. 1 - Prob. 50RCh. 1 - Prob. 51RCh. 1 - Prob. 52RCh. 1 - Prob. 53RCh. 1 - Prob. 54RCh. 1 - Prob. 55RCh. 1 - Prob. 56RCh. 1 - Prob. 57RCh. 1 - Prob. 58RCh. 1 - Prob. 59RCh. 1 - Prob. 60RCh. 1 - Prob. 61RCh. 1 - Prob. 62RCh. 1 - Prob. 63RCh. 1 - Prob. 64RCh. 1 - Prob. 65RCh. 1 - Prob. 66RCh. 1 - Prob. 67RCh. 1 - Prob. 68RCh. 1 - Prob. 69RCh. 1 - Prob. 70RCh. 1 - Prob. 71RCh. 1 - Prob. 72RCh. 1 - Prob. 73RCh. 1 - Prob. 74RCh. 1 - Prob. 75RCh. 1 - Prob. 76RCh. 1 - Prob. 77RCh. 1 - Prob. 78RCh. 1 - Prob. 79RCh. 1 - Prob. 80RCh. 1 - Prob. 81RCh. 1 - Prob. 82RCh. 1 - Prob. 83RCh. 1 - Prob. 84RCh. 1 - Prob. 85RCh. 1 - Prob. 86RCh. 1 - Prob. 87RCh. 1 - Prob. 88RCh. 1 - Prob. 89RCh. 1 - Prob. 90RCh. 1 - Prob. 91RCh. 1 - Prob. 92RCh. 1 - Prob. 93RCh. 1 - Prob. 94RCh. 1 - Prob. 95RCh. 1 - Prob. 96RCh. 1 - Prob. 97RCh. 1 - Prob. 98RCh. 1 - Prob. 99RCh. 1 - Prob. 100RCh. 1 - Prob. 101RCh. 1 - Prob. 102RCh. 1 - Prob. 103RCh. 1 - Prob. 104RCh. 1 - Prob. 105RCh. 1 - Prob. 106RCh. 1 - Prob. 107RCh. 1 - Prob. 108RCh. 1 - Prob. 109RCh. 1 - Prob. 110RCh. 1 - Prob. 111RCh. 1 - Prob. 112RCh. 1 - Prob. 113RCh. 1 - Prob. 114RCh. 1 - Prob. 115RCh. 1 - Prob. 116RCh. 1 - Prob. 117RCh. 1 - Prob. 118RCh. 1 - Prob. 119RCh. 1 - Prob. 120RCh. 1 - Prob. 121RCh. 1 - Prob. 122RCh. 1 - Prob. 123RCh. 1 - Prob. 124RCh. 1 - Prob. 1GRFTCh. 1 - Prob. 2GRFTCh. 1 - Prob. 3GRFTCh. 1 - Prob. 4GRFTCh. 1 - Prob. 5GRFTCh. 1 - Prob. 6GRFTCh. 1 - Prob. 7GRFTCh. 1 - Prob. 8GRFTCh. 1 - Prob. 9GRFTCh. 1 - For the exercises below, a and b are negative...Ch. 1 - Prob. 11GRFTCh. 1 - Prob. 12GRFTCh. 1 - Prob. 13GRFTCh. 1 - Prob. 14GRFTCh. 1 - Prob. 15GRFTCh. 1 - Prob. 16GRFTCh. 1 - Prob. 17GRFTCh. 1 - Prob. 18GRFTCh. 1 - Prob. 19GRFTCh. 1 - Prob. 20GRFTCh. 1 - Prob. 21GRFTCh. 1 - Prob. 22GRFTCh. 1 - Prob. 1TCh. 1 - Prob. 2TCh. 1 - Prob. 3TCh. 1 - Prob. 4TCh. 1 - Prob. 5TCh. 1 - Prob. 6TCh. 1 - Prob. 7TCh. 1 - Prob. 8TCh. 1 - Prob. 9TCh. 1 - Prob. 10TCh. 1 - Prob. 11TCh. 1 - Prob. 12TCh. 1 - Prob. 13TCh. 1 - Prob. 14TCh. 1 - Prob. 15TCh. 1 - Prob. 16TCh. 1 - Prob. 17TCh. 1 - Prob. 18TCh. 1 - Prob. 19TCh. 1 - Prob. 20TCh. 1 - Prob. 21TCh. 1 - Insert , , or = in the appropriate space to make...Ch. 1 - Prob. 23TCh. 1 - Prob. 24TCh. 1 - Prob. 25TCh. 1 - Prob. 26TCh. 1 - Prob. 27TCh. 1 - Prob. 28TCh. 1 - Prob. 29TCh. 1 - Prob. 30TCh. 1 - Prob. 31TCh. 1 - Prob. 32TCh. 1 - Prob. 33TCh. 1 - Prob. 34TCh. 1 - Prob. 35TCh. 1 - The New Orleans Saints were 22 yards from the goal...Ch. 1 - Prob. 37TCh. 1 - Prob. 38T
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