Key Concept Activity Lab Workbook For Path To College Mathematics
Key Concept Activity Lab Workbook For Path To College Mathematics
1st Edition
ISBN: 9780134618548
Author: Elayn Martin-Gay
Publisher: PEARSON
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Chapter 4, Problem 11CR
To determine

Find the simplification of the given expression.

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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.
(a) For the following linear programme, sketch the feasible region and the direction of the objective function. Use you sketch to find an optimal solution to the program. State the optimal solution and give the objective value for this solution. maximize +22 subject to 1 + 2x2 ≤ 4, 1 +3x2 ≤ 12, x1, x2 ≥0 (b) For the following linear programme, sketch the feasible region and the direction of the objective function. Explain, making reference to your sketch, why this linear programme is unbounded. maximize ₁+%2 subject to -2x1 + x2 ≤ 4, x1 - 2x2 ≤4, x1 + x2 ≥ 7, x1,x20 Give any feasible solution to the linear programme for which the objective value is 40 (you do not need to justify your answer).

Chapter 4 Solutions

Key Concept Activity Lab Workbook For Path To College Mathematics

Ch. 4.1 - Prob. 11ESCh. 4.1 - Prob. 12ESCh. 4.1 - Prob. 13ESCh. 4.1 - Prob. 14ESCh. 4.1 - Prob. 15ESCh. 4.1 - Prob. 16ESCh. 4.1 - Prob. 17ESCh. 4.1 - Prob. 18ESCh. 4.1 - Prob. 19ESCh. 4.1 - Prob. 20ESCh. 4.1 - Prob. 21ESCh. 4.1 - Prob. 22ESCh. 4.1 - Prob. 23ESCh. 4.1 - Prob. 24ESCh. 4.1 - Prob. 25ESCh. 4.1 - Prob. 26ESCh. 4.1 - Prob. 27ESCh. 4.1 - Prob. 28ESCh. 4.1 - Prob. 29ESCh. 4.1 - Prob. 30ESCh. 4.1 - Prob. 31ESCh. 4.1 - Prob. 32ESCh. 4.1 - Prob. 33ESCh. 4.1 - Prob. 34ESCh. 4.1 - Prob. 35ESCh. 4.1 - Prob. 36ESCh. 4.1 - Prob. 37ESCh. 4.1 - Prob. 38ESCh. 4.1 - Prob. 39ESCh. 4.1 - Prob. 40ESCh. 4.1 - Prob. 41ESCh. 4.1 - Prob. 42ESCh. 4.1 - Prob. 43ESCh. 4.1 - Prob. 44ESCh. 4.1 - Prob. 45ESCh. 4.1 - Prob. 46ESCh. 4.1 - Prob. 47ESCh. 4.1 - Prob. 48ESCh. 4.1 - Prob. 49ESCh. 4.1 - Prob. 50ESCh. 4.1 - Prob. 51ESCh. 4.1 - Prob. 52ESCh. 4.1 - Prob. 53ESCh. 4.1 - Prob. 54ESCh. 4.1 - Prob. 55ESCh. 4.1 - Prob. 56ESCh. 4.1 - Prob. 57ESCh. 4.1 - Prob. 58ESCh. 4.1 - Prob. 59ESCh. 4.1 - Use the power rule and the power of a product or...Ch. 4.1 - Prob. 61ESCh. 4.1 - Prob. 62ESCh. 4.1 - Prob. 63ESCh. 4.1 - Prob. 64ESCh. 4.1 - Prob. 65ESCh. 4.1 - Prob. 66ESCh. 4.1 - Prob. 67ESCh. 4.1 - Prob. 68ESCh. 4.1 - Prob. 69ESCh. 4.1 - Prob. 70ESCh. 4.1 - Prob. 71ESCh. 4.1 - Prob. 72ESCh. 4.1 - Prob. 73ESCh. 4.1 - Prob. 74ESCh. 4.1 - Prob. 75ESCh. 4.1 - Prob. 76ESCh. 4.1 - Prob. 77ESCh. 4.1 - Prob. 78ESCh. 4.1 - Prob. 79ESCh. 4.1 - Prob. 80ESCh. 4.1 - Prob. 81ESCh. 4.1 - Prob. 82ESCh. 4.1 - Prob. 83ESCh. 4.1 - Prob. 84ESCh. 4.1 - Prob. 85ESCh. 4.1 - Prob. 86ESCh. 4.1 - Prob. 87ESCh. 4.1 - Prob. 88ESCh. 4.1 - Prob. 89ESCh. 4.1 - Prob. 90ESCh. 4.1 - Prob. 91ESCh. 4.1 - Prob. 92ESCh. 4.1 - Prob. 93ESCh. 4.1 - Prob. 94ESCh. 4.1 - Prob. 95ESCh. 4.1 - Prob. 96ESCh. 4.1 - Prob. 97ESCh. 4.1 - Prob. 98ESCh. 4.1 - Prob. 99ESCh. 4.1 - Prob. 100ESCh. 4.1 - Prob. 101ESCh. 4.1 - Prob. 102ESCh. 4.1 - Prob. 103ESCh. 4.1 - Prob. 104ESCh. 4.1 - Prob. 105ESCh. 4.1 - Prob. 106ESCh. 4.1 - Prob. 107ESCh. 4.1 - Prob. 108ESCh. 4.1 - Prob. 109ESCh. 4.1 - Prob. 110ESCh. 4.1 - Prob. 111ESCh. 4.1 - Prob. 112ESCh. 4.1 - Prob. 113ESCh. 4.1 - Prob. 114ESCh. 4.1 - Prob. 115ESCh. 4.1 - Prob. 116ESCh. 4.1 - Prob. 117ESCh. 4.1 - Prob. 118ESCh. 4.1 - Prob. 119ESCh. 4.1 - Prob. 120ESCh. 4.1 - Prob. 121ESCh. 4.1 - Prob. 122ESCh. 4.1 - Prob. 123ESCh. 4.1 - Prob. 124ESCh. 4.1 - Prob. 125ESCh. 4.1 - Prob. 126ESCh. 4.1 - Prob. 127ESCh. 4.1 - Prob. 128ESCh. 4.1 - Prob. 129ESCh. 4.1 - Prob. 130ESCh. 4.1 - Prob. 131ESCh. 4.1 - Prob. 132ESCh. 4.1 - Prob. 133ESCh. 4.1 - Prob. 134ESCh. 4.1 - Prob. 135ESCh. 4.1 - Prob. 136ESCh. 4.1 - Prob. 137ESCh. 4.1 - Prob. 138ESCh. 4.1 - Prob. 139ESCh. 4.1 - Prob. 140ESCh. 4.1 - Prob. 141ESCh. 4.1 - Prob. 142ESCh. 4.1 - Prob. 143ESCh. 4.1 - Prob. 144ESCh. 4.1 - Prob. 145ESCh. 4.1 - Prob. 146ESCh. 4.2 - Prob. 1ESCh. 4.2 - Prob. 2ESCh. 4.2 - Prob. 3ESCh. 4.2 - Prob. 4ESCh. 4.2 - Prob. 5ESCh. 4.2 - Prob. 6ESCh. 4.2 - Prob. 7ESCh. 4.2 - Prob. 8ESCh. 4.2 - Prob. 9ESCh. 4.2 - Prob. 10ESCh. 4.2 - Prob. 11ESCh. 4.2 - Prob. 12ESCh. 4.2 - Prob. 13ESCh. 4.2 - Prob. 14ESCh. 4.2 - Prob. 15ESCh. 4.2 - Prob. 16ESCh. 4.2 - Prob. 17ESCh. 4.2 - Prob. 18ESCh. 4.2 - Prob. 19ESCh. 4.2 - Prob. 20ESCh. 4.2 - Prob. 21ESCh. 4.2 - Prob. 22ESCh. 4.2 - Prob. 23ESCh. 4.2 - Prob. 24ESCh. 4.2 - Prob. 25ESCh. 4.2 - Prob. 26ESCh. 4.2 - Prob. 27ESCh. 4.2 - Prob. 28ESCh. 4.2 - Prob. 29ESCh. 4.2 - Prob. 30ESCh. 4.2 - Prob. 31ESCh. 4.2 - Prob. 32ESCh. 4.2 - Prob. 33ESCh. 4.2 - Prob. 34ESCh. 4.2 - Prob. 35ESCh. 4.2 - Prob. 36ESCh. 4.2 - Prob. 37ESCh. 4.2 - Prob. 38ESCh. 4.2 - Prob. 39ESCh. 4.2 - Prob. 40ESCh. 4.2 - Prob. 41ESCh. 4.2 - Prob. 42ESCh. 4.2 - Prob. 43ESCh. 4.2 - Prob. 44ESCh. 4.2 - Prob. 45ESCh. 4.2 - Perform the indicated operations. See Examples 9...Ch. 4.2 - Prob. 47ESCh. 4.2 - Prob. 48ESCh. 4.2 - Prob. 49ESCh. 4.2 - Prob. 50ESCh. 4.2 - Prob. 51ESCh. 4.2 - Prob. 52ESCh. 4.2 - Prob. 53ESCh. 4.2 - Prob. 54ESCh. 4.2 - Prob. 55ESCh. 4.2 - Prob. 56ESCh. 4.2 - Prob. 57ESCh. 4.2 - Prob. 58ESCh. 4.2 - Prob. 59ESCh. 4.2 - Prob. 60ESCh. 4.2 - Prob. 61ESCh. 4.2 - Prob. 62ESCh. 4.2 - Prob. 63ESCh. 4.2 - Prob. 64ESCh. 4.2 - Prob. 65ESCh. 4.2 - Prob. 66ESCh. 4.2 - Prob. 67ESCh. 4.2 - Prob. 68ESCh. 4.2 - Prob. 69ESCh. 4.2 - Prob. 70ESCh. 4.2 - Prob. 71ESCh. 4.2 - Prob. 72ESCh. 4.2 - Find the area of each figure. Write a polynomial...Ch. 4.2 - Prob. 74ESCh. 4.2 - Prob. 75ESCh. 4.2 - Prob. 76ESCh. 4.2 - Prob. 77ESCh. 4.2 - Prob. 78ESCh. 4.2 - Prob. 79ESCh. 4.2 - Prob. 80ESCh. 4.2 - Prob. 81ESCh. 4.2 - Prob. 82ESCh. 4.2 - Prob. 83ESCh. 4.2 - Prob. 84ESCh. 4.2 - Prob. 85ESCh. 4.2 - Prob. 86ESCh. 4.2 - Prob. 87ESCh. 4.2 - Prob. 88ESCh. 4.2 - Prob. 89ESCh. 4.2 - Rose gold is made by mixing gold with other...Ch. 4.2 - Prob. 91ESCh. 4.2 - Rose gold is made by mixing gold with other...Ch. 4.2 - Prob. 93ESCh. 4.2 - Prob. 94ESCh. 4.2 - Prob. 95ESCh. 4.2 - Prob. 96ESCh. 4.2 - Prob. 97ESCh. 4.2 - Prob. 98ESCh. 4.2 - Prob. 99ESCh. 4.2 - Prob. 100ESCh. 4.2 - Prob. 101ESCh. 4.2 - Prob. 102ESCh. 4.2 - Prob. 103ESCh. 4.2 - Prob. 104ESCh. 4.2 - Prob. 105ESCh. 4.2 - Prob. 106ESCh. 4.2 - Prob. 107ESCh. 4.2 - Prob. 108ESCh. 4.2 - Prob. 109ESCh. 4.2 - Prob. 110ESCh. 4.2 - Prob. 111ESCh. 4.2 - Prob. 112ESCh. 4.2 - Prob. 113ESCh. 4.2 - Prob. 114ESCh. 4.2 - Prob. 115ESCh. 4.2 - Prob. 116ESCh. 4.2 - Prob. 117ESCh. 4.2 - Prob. 118ESCh. 4.2 - Prob. 119ESCh. 4.2 - Prob. 120ESCh. 4.2 - Prob. 121ESCh. 4.2 - Prob. 122ESCh. 4.2 - Prob. 123ESCh. 4.2 - Prob. 124ESCh. 4.2 - Prob. 125ESCh. 4.2 - Prob. 126ESCh. 4.2 - Prob. 127ESCh. 4.2 - Prob. 128ESCh. 4.2 - Prob. 129ESCh. 4.2 - Prob. 130ESCh. 4.2 - Prob. 131ESCh. 4.2 - Prob. 132ESCh. 4.3 - Prob. 1ESCh. 4.3 - Prob. 2ESCh. 4.3 - Prob. 3ESCh. 4.3 - Prob. 4ESCh. 4.3 - Prob. 5ESCh. 4.3 - Prob. 6ESCh. 4.3 - Prob. 7ESCh. 4.3 - Prob. 8ESCh. 4.3 - Prob. 9ESCh. 4.3 - Prob. 10ESCh. 4.3 - Prob. 11ESCh. 4.3 - Prob. 12ESCh. 4.3 - Prob. 13ESCh. 4.3 - Prob. 14ESCh. 4.3 - Prob. 15ESCh. 4.3 - Prob. 16ESCh. 4.3 - Prob. 17ESCh. 4.3 - Prob. 18ESCh. 4.3 - Prob. 19ESCh. 4.3 - Prob. 20ESCh. 4.3 - Prob. 21ESCh. 4.3 - Prob. 22ESCh. 4.3 - Prob. 23ESCh. 4.3 - Prob. 24ESCh. 4.3 - Prob. 25ESCh. 4.3 - Prob. 26ESCh. 4.3 - Prob. 27ESCh. 4.3 - Prob. 28ESCh. 4.3 - Prob. 29ESCh. 4.3 - Prob. 30ESCh. 4.3 - Prob. 31ESCh. 4.3 - Prob. 32ESCh. 4.3 - Prob. 33ESCh. 4.3 - Prob. 34ESCh. 4.3 - Prob. 35ESCh. 4.3 - Prob. 36ESCh. 4.3 - Prob. 37ESCh. 4.3 - Prob. 38ESCh. 4.3 - Prob. 39ESCh. 4.3 - Prob. 40ESCh. 4.3 - Prob. 41ESCh. 4.3 - Prob. 42ESCh. 4.3 - Prob. 43ESCh. 4.3 - Prob. 44ESCh. 4.3 - Prob. 45ESCh. 4.3 - Prob. 46ESCh. 4.3 - Prob. 47ESCh. 4.3 - Prob. 48ESCh. 4.3 - Prob. 49ESCh. 4.3 - Prob. 50ESCh. 4.3 - Prob. 51ESCh. 4.3 - Prob. 52ESCh. 4.3 - Prob. 53ESCh. 4.3 - Prob. 54ESCh. 4.3 - Prob. 55ESCh. 4.3 - Prob. 56ESCh. 4.3 - Prob. 57ESCh. 4.3 - Prob. 58ESCh. 4.3 - Prob. 59ESCh. 4.3 - Prob. 60ESCh. 4.3 - Prob. 61ESCh. 4.3 - Prob. 62ESCh. 4.3 - Prob. 63ESCh. 4.3 - Prob. 64ESCh. 4.3 - Prob. 65ESCh. 4.3 - Prob. 66ESCh. 4.3 - Prob. 67ESCh. 4.3 - Prob. 68ESCh. 4.3 - Prob. 69ESCh. 4.3 - Prob. 70ESCh. 4.3 - Prob. 71ESCh. 4.3 - Prob. 72ESCh. 4.3 - Prob. 73ESCh. 4.3 - Prob. 74ESCh. 4.3 - Prob. 75ESCh. 4.3 - Prob. 76ESCh. 4.3 - Prob. 77ESCh. 4.3 - Prob. 78ESCh. 4.3 - Prob. 79ESCh. 4.3 - Prob. 80ESCh. 4.3 - Prob. 81ESCh. 4.3 - Prob. 82ESCh. 4.3 - Prob. 83ESCh. 4.3 - Prob. 84ESCh. 4.3 - Prob. 85ESCh. 4.3 - Prob. 86ESCh. 4.3 - Prob. 87ESCh. 4.3 - Prob. 88ESCh. 4.3 - Prob. 89ESCh. 4.3 - Prob. 90ESCh. 4.3 - Prob. 91ESCh. 4.3 - Prob. 92ESCh. 4.3 - Prob. 93ESCh. 4.3 - Prob. 94ESCh. 4.3 - Prob. 95ESCh. 4.3 - Prob. 96ESCh. 4.3 - Prob. 97ESCh. 4.3 - Prob. 98ESCh. 4.4 - Prob. 1ESCh. 4.4 - Prob. 2ESCh. 4.4 - Prob. 3ESCh. 4.4 - Prob. 4ESCh. 4.4 - Prob. 5ESCh. 4.4 - Prob. 6ESCh. 4.4 - Prob. 7ESCh. 4.4 - Prob. 8ESCh. 4.4 - Prob. 9ESCh. 4.4 - Prob. 10ESCh. 4.4 - Prob. 11ESCh. 4.4 - Prob. 12ESCh. 4.4 - Prob. 13ESCh. 4.4 - Prob. 14ESCh. 4.4 - Prob. 15ESCh. 4.4 - Prob. 16ESCh. 4.4 - Prob. 17ESCh. 4.4 - Prob. 18ESCh. 4.4 - Prob. 19ESCh. 4.4 - Prob. 20ESCh. 4.4 - Prob. 21ESCh. 4.4 - Prob. 22ESCh. 4.4 - Prob. 23ESCh. 4.4 - Prob. 24ESCh. 4.4 - Prob. 25ESCh. 4.4 - Prob. 26ESCh. 4.4 - Prob. 27ESCh. 4.4 - Prob. 28ESCh. 4.4 - Prob. 29ESCh. 4.4 - Prob. 30ESCh. 4.4 - Prob. 31ESCh. 4.4 - Prob. 32ESCh. 4.4 - Prob. 33ESCh. 4.4 - Prob. 34ESCh. 4.4 - Prob. 35ESCh. 4.4 - Prob. 36ESCh. 4.4 - Prob. 37ESCh. 4.4 - Prob. 38ESCh. 4.4 - Prob. 39ESCh. 4.4 - Prob. 40ESCh. 4.4 - Prob. 41ESCh. 4.4 - Prob. 42ESCh. 4.4 - Prob. 43ESCh. 4.4 - Prob. 44ESCh. 4.4 - Prob. 45ESCh. 4.4 - Prob. 46ESCh. 4.4 - Prob. 47ESCh. 4.4 - Prob. 48ESCh. 4.4 - Prob. 49ESCh. 4.4 - Prob. 50ESCh. 4.4 - Prob. 51ESCh. 4.4 - Prob. 52ESCh. 4.4 - Prob. 53ESCh. 4.4 - Prob. 54ESCh. 4.4 - Prob. 55ESCh. 4.4 - Prob. 56ESCh. 4.4 - Prob. 57ESCh. 4.4 - Prob. 58ESCh. 4.4 - Prob. 59ESCh. 4.4 - Prob. 60ESCh. 4.4 - Prob. 61ESCh. 4.4 - Prob. 62ESCh. 4.4 - Prob. 63ESCh. 4.4 - Prob. 64ESCh. 4.4 - Prob. 65ESCh. 4.4 - Prob. 66ESCh. 4.4 - Prob. 67ESCh. 4.4 - Prob. 68ESCh. 4.4 - Prob. 69ESCh. 4.4 - Prob. 70ESCh. 4.4 - Prob. 71ESCh. 4.4 - Prob. 72ESCh. 4.4 - Prob. 73ESCh. 4.4 - Prob. 74ESCh. 4.4 - Prob. 75ESCh. 4.4 - Prob. 76ESCh. 4.4 - Prob. 77ESCh. 4.4 - Prob. 78ESCh. 4.4 - Prob. 79ESCh. 4.4 - Prob. 80ESCh. 4.4 - Prob. 81ESCh. 4.4 - Prob. 82ESCh. 4.4 - Prob. 83ESCh. 4.4 - Prob. 84ESCh. 4.4 - Prob. 85ESCh. 4.4 - Prob. 86ESCh. 4.4 - Prob. 87ESCh. 4.4 - Prob. 88ESCh. 4.4 - Prob. 89ESCh. 4.4 - Prob. 90ESCh. 4.4 - Prob. 91ESCh. 4.4 - Prob. 92ESCh. 4.4 - Prob. 93ESCh. 4.4 - Prob. 94ESCh. 4.4 - Prob. 95ESCh. 4.4 - Prob. 96ESCh. 4.4 - Prob. 97ESCh. 4.4 - Prob. 98ESCh. 4.4 - Prob. 99ESCh. 4.4 - Prob. 100ESCh. 4.4 - Prob. 101ESCh. 4.4 - Prob. 102ESCh. 4.4 - Prob. 103ESCh. 4.4 - Prob. 104ESCh. 4.4 - Prob. 105ESCh. 4.4 - Prob. 106ESCh. 4.4 - Prob. 107ESCh. 4.4 - Prob. 108ESCh. 4.4 - Prob. 109ESCh. 4.4 - Prob. 110ESCh. 4.4 - Prob. 111ESCh. 4.4 - Find each product. For example,...Ch. 4.4 - Prob. 1IRCh. 4.4 - Prob. 2IRCh. 4.4 - Prob. 3IRCh. 4.4 - Prob. 4IRCh. 4.4 - Prob. 5IRCh. 4.4 - Prob. 6IRCh. 4.4 - Prob. 7IRCh. 4.4 - Prob. 8IRCh. 4.4 - Prob. 9IRCh. 4.4 - Prob. 10IRCh. 4.4 - Prob. 11IRCh. 4.4 - Prob. 12IRCh. 4.4 - Prob. 13IRCh. 4.4 - Prob. 14IRCh. 4.4 - Prob. 15IRCh. 4.4 - Prob. 16IRCh. 4.4 - Prob. 17IRCh. 4.4 - Prob. 18IRCh. 4.4 - Prob. 19IRCh. 4.4 - Prob. 20IRCh. 4.4 - Prob. 21IRCh. 4.4 - Prob. 22IRCh. 4.4 - Prob. 23IRCh. 4.4 - Prob. 24IRCh. 4.4 - Prob. 25IRCh. 4.4 - Prob. 26IRCh. 4.4 - Prob. 27IRCh. 4.4 - Prob. 28IRCh. 4.4 - Prob. 29IRCh. 4.4 - Prob. 30IRCh. 4.4 - Prob. 31IRCh. 4.4 - Prob. 32IRCh. 4.4 - Prob. 33IRCh. 4.4 - Prob. 34IRCh. 4.4 - Prob. 35IRCh. 4.4 - Prob. 36IRCh. 4.4 - Prob. 37IRCh. 4.4 - Prob. 38IRCh. 4.5 - Prob. 1ESCh. 4.5 - Prob. 2ESCh. 4.5 - Prob. 3ESCh. 4.5 - Prob. 4ESCh. 4.5 - Prob. 5ESCh. 4.5 - Prob. 6ESCh. 4.5 - Prob. 7ESCh. 4.5 - Prob. 8ESCh. 4.5 - Prob. 9ESCh. 4.5 - Prob. 10ESCh. 4.5 - Prob. 11ESCh. 4.5 - Prob. 12ESCh. 4.5 - Prob. 13ESCh. 4.5 - Prob. 14ESCh. 4.5 - Prob. 15ESCh. 4.5 - Prob. 16ESCh. 4.5 - Prob. 17ESCh. 4.5 - Prob. 18ESCh. 4.5 - Prob. 19ESCh. 4.5 - Prob. 20ESCh. 4.5 - Prob. 21ESCh. 4.5 - Prob. 22ESCh. 4.5 - Prob. 23ESCh. 4.5 - Prob. 24ESCh. 4.5 - Prob. 25ESCh. 4.5 - Prob. 26ESCh. 4.5 - Prob. 27ESCh. 4.5 - Prob. 28ESCh. 4.5 - Prob. 29ESCh. 4.5 - Prob. 30ESCh. 4.5 - Prob. 31ESCh. 4.5 - Prob. 32ESCh. 4.5 - Prob. 33ESCh. 4.5 - Prob. 34ESCh. 4.5 - Prob. 35ESCh. 4.5 - Prob. 36ESCh. 4.5 - Prob. 37ESCh. 4.5 - Prob. 38ESCh. 4.5 - Prob. 39ESCh. 4.5 - Prob. 40ESCh. 4.5 - Prob. 41ESCh. 4.5 - Prob. 42ESCh. 4.5 - Prob. 43ESCh. 4.5 - Prob. 44ESCh. 4.5 - Prob. 45ESCh. 4.5 - Prob. 46ESCh. 4.5 - Prob. 47ESCh. 4.5 - Prob. 48ESCh. 4.5 - Prob. 49ESCh. 4.5 - Prob. 50ESCh. 4.5 - Prob. 51ESCh. 4.5 - Prob. 52ESCh. 4.5 - Prob. 53ESCh. 4.5 - Prob. 54ESCh. 4.5 - Prob. 55ESCh. 4.5 - Prob. 56ESCh. 4.5 - Prob. 57ESCh. 4.5 - Prob. 58ESCh. 4.5 - Prob. 59ESCh. 4.5 - Prob. 60ESCh. 4.5 - Prob. 61ESCh. 4.5 - Prob. 62ESCh. 4.5 - Prob. 63ESCh. 4.5 - Prob. 64ESCh. 4.5 - Prob. 65ESCh. 4.5 - Prob. 66ESCh. 4.5 - Prob. 67ESCh. 4.5 - Prob. 68ESCh. 4.5 - Prob. 69ESCh. 4.5 - Prob. 70ESCh. 4.5 - Prob. 71ESCh. 4.5 - Prob. 72ESCh. 4.5 - Prob. 73ESCh. 4.5 - Prob. 74ESCh. 4.5 - Prob. 75ESCh. 4.5 - Prob. 76ESCh. 4.5 - Prob. 77ESCh. 4.5 - Prob. 78ESCh. 4.5 - Prob. 79ESCh. 4.5 - Prob. 80ESCh. 4.5 - Prob. 81ESCh. 4.5 - Prob. 82ESCh. 4.5 - Prob. 83ESCh. 4.5 - Prob. 84ESCh. 4.5 - Prob. 85ESCh. 4.5 - Prob. 86ESCh. 4.5 - Prob. 87ESCh. 4.5 - Prob. 88ESCh. 4.5 - Prob. 89ESCh. 4.5 - Prob. 90ESCh. 4.5 - Prob. 91ESCh. 4.5 - Prob. 92ESCh. 4.5 - Prob. 93ESCh. 4.5 - Prob. 94ESCh. 4.5 - Prob. 95ESCh. 4.5 - Prob. 96ESCh. 4.5 - Prob. 97ESCh. 4.5 - Prob. 98ESCh. 4.5 - Prob. 99ESCh. 4.5 - Prob. 100ESCh. 4.5 - Prob. 101ESCh. 4.5 - Prob. 102ESCh. 4.5 - Prob. 103ESCh. 4.5 - Prob. 104ESCh. 4.5 - Prob. 105ESCh. 4.5 - Prob. 106ESCh. 4.5 - Prob. 107ESCh. 4.5 - Prob. 108ESCh. 4.5 - Prob. 109ESCh. 4.5 - Prob. 110ESCh. 4.5 - Prob. 111ESCh. 4.5 - Prob. 112ESCh. 4.5 - Prob. 113ESCh. 4.5 - Prob. 114ESCh. 4.5 - Prob. 115ESCh. 4.5 - Prob. 116ESCh. 4.5 - Prob. 117ESCh. 4.5 - Prob. 118ESCh. 4.5 - Prob. 119ESCh. 4.5 - Prob. 120ESCh. 4.5 - Prob. 121ESCh. 4.5 - Prob. 122ESCh. 4.5 - Prob. 123ESCh. 4.5 - Prob. 124ESCh. 4.5 - Prob. 125ESCh. 4.5 - Prob. 126ESCh. 4.5 - Prob. 127ESCh. 4.5 - Prob. 128ESCh. 4.5 - Prob. 129ESCh. 4.5 - Prob. 130ESCh. 4 - Fill in each blank with one of the words or...Ch. 4 - Prob. 2VCCh. 4 - Prob. 3VCCh. 4 - Prob. 4VCCh. 4 - Prob. 5VCCh. 4 - Prob. 6VCCh. 4 - Prob. 7VCCh. 4 - Prob. 8VCCh. 4 - Prob. 9VCCh. 4 - Prob. 10VCCh. 4 - Prob. 1RCh. 4 - Prob. 2RCh. 4 - Prob. 3RCh. 4 - Prob. 4RCh. 4 - Prob. 5RCh. 4 - Prob. 6RCh. 4 - Prob. 7RCh. 4 - Prob. 8RCh. 4 - Prob. 9RCh. 4 - Prob. 10RCh. 4 - Prob. 11RCh. 4 - Prob. 12RCh. 4 - Prob. 13RCh. 4 - Prob. 14RCh. 4 - Prob. 15RCh. 4 - Prob. 16RCh. 4 - Prob. 17RCh. 4 - Prob. 18RCh. 4 - Prob. 19RCh. 4 - Prob. 20RCh. 4 - Prob. 21RCh. 4 - Prob. 22RCh. 4 - Prob. 23RCh. 4 - Prob. 24RCh. 4 - Prob. 25RCh. 4 - Prob. 26RCh. 4 - Prob. 27RCh. 4 - Prob. 28RCh. 4 - Prob. 29RCh. 4 - Prob. 30RCh. 4 - Prob. 31RCh. 4 - Prob. 32RCh. 4 - Prob. 33RCh. 4 - Prob. 34RCh. 4 - Prob. 35RCh. 4 - Prob. 36RCh. 4 - Prob. 37RCh. 4 - Prob. 38RCh. 4 - Find the degree of each polynomial. The Glass...Ch. 4 - Prob. 40RCh. 4 - Prob. 41RCh. 4 - Prob. 42RCh. 4 - Prob. 43RCh. 4 - Prob. 44RCh. 4 - Prob. 45RCh. 4 - Prob. 46RCh. 4 - Prob. 47RCh. 4 - Prob. 48RCh. 4 - Prob. 49RCh. 4 - Prob. 50RCh. 4 - Prob. 51RCh. 4 - Prob. 52RCh. 4 - Prob. 53RCh. 4 - Prob. 54RCh. 4 - Prob. 55RCh. 4 - Prob. 56RCh. 4 - Prob. 57RCh. 4 - Prob. 58RCh. 4 - Prob. 59RCh. 4 - Prob. 60RCh. 4 - Prob. 61RCh. 4 - Prob. 62RCh. 4 - Prob. 63RCh. 4 - Prob. 64RCh. 4 - Prob. 65RCh. 4 - Prob. 66RCh. 4 - Prob. 67RCh. 4 - Prob. 68RCh. 4 - Prob. 69RCh. 4 - Prob. 70RCh. 4 - Prob. 71RCh. 4 - Prob. 72RCh. 4 - Prob. 73RCh. 4 - Prob. 74RCh. 4 - Prob. 75RCh. 4 - Prob. 76RCh. 4 - Prob. 77RCh. 4 - Prob. 78RCh. 4 - Prob. 79RCh. 4 - Prob. 80RCh. 4 - Prob. 81RCh. 4 - Prob. 82RCh. 4 - Prob. 83RCh. 4 - Prob. 84RCh. 4 - Prob. 85RCh. 4 - Prob. 86RCh. 4 - Prob. 87RCh. 4 - Prob. 88RCh. 4 - Prob. 89RCh. 4 - Prob. 90RCh. 4 - Prob. 91RCh. 4 - Prob. 92RCh. 4 - Prob. 93RCh. 4 - Prob. 94RCh. 4 - Prob. 95RCh. 4 - Prob. 96RCh. 4 - Prob. 97RCh. 4 - Prob. 98RCh. 4 - Prob. 99RCh. 4 - Prob. 100RCh. 4 - Prob. 101RCh. 4 - Prob. 102RCh. 4 - Prob. 103RCh. 4 - Prob. 104RCh. 4 - Prob. 105RCh. 4 - Prob. 106RCh. 4 - Prob. 107RCh. 4 - Prob. 108RCh. 4 - Prob. 109RCh. 4 - Prob. 110RCh. 4 - Prob. 111RCh. 4 - Prob. 112RCh. 4 - Prob. 113RCh. 4 - Prob. 114RCh. 4 - Prob. 115RCh. 4 - Prob. 116RCh. 4 - Prob. 117RCh. 4 - Prob. 118RCh. 4 - Prob. 119RCh. 4 - Prob. 120RCh. 4 - Prob. 121RCh. 4 - Prob. 122RCh. 4 - Prob. 123RCh. 4 - Prob. 124RCh. 4 - Prob. 125RCh. 4 - Prob. 126RCh. 4 - Prob. 127RCh. 4 - Prob. 128RCh. 4 - Prob. 129RCh. 4 - Prob. 130RCh. 4 - Prob. 131RCh. 4 - Prob. 132RCh. 4 - Prob. 133RCh. 4 - Prob. 134RCh. 4 - Prob. 135RCh. 4 - Prob. 136RCh. 4 - Prob. 1GRFTCh. 4 - Prob. 2GRFTCh. 4 - Prob. 3GRFTCh. 4 - Prob. 4GRFTCh. 4 - Prob. 5GRFTCh. 4 - Prob. 6GRFTCh. 4 - Prob. 7GRFTCh. 4 - Prob. 8GRFTCh. 4 - Prob. 9GRFTCh. 4 - Prob. 10GRFTCh. 4 - Match each expression with its simplified form....Ch. 4 - Prob. 12GRFTCh. 4 - Prob. 13GRFTCh. 4 - Prob. 14GRFTCh. 4 - Prob. 1TCh. 4 - Prob. 2TCh. 4 - Prob. 3TCh. 4 - Prob. 4TCh. 4 - Prob. 5TCh. 4 - Prob. 6TCh. 4 - Prob. 7TCh. 4 - Prob. 8TCh. 4 - Prob. 9TCh. 4 - Prob. 10TCh. 4 - Prob. 11TCh. 4 - Prob. 12TCh. 4 - Prob. 13TCh. 4 - Prob. 14TCh. 4 - Prob. 15TCh. 4 - Prob. 16TCh. 4 - Prob. 17TCh. 4 - Prob. 18TCh. 4 - Prob. 19TCh. 4 - Prob. 20TCh. 4 - Prob. 21TCh. 4 - Prob. 22TCh. 4 - Prob. 23TCh. 4 - Prob. 24TCh. 4 - Prob. 25TCh. 4 - Prob. 26TCh. 4 - Prob. 27TCh. 4 - Prob. 28TCh. 4 - Prob. 29TCh. 4 - Prob. 1CRCh. 4 - Prob. 2CRCh. 4 - Prob. 3CRCh. 4 - Prob. 4CRCh. 4 - Prob. 5CRCh. 4 - Prob. 6CRCh. 4 - Prob. 7CRCh. 4 - Prob. 8CRCh. 4 - Prob. 9CRCh. 4 - Prob. 10CRCh. 4 - Prob. 11CRCh. 4 - Prob. 12CRCh. 4 - Prob. 13CRCh. 4 - Prob. 14CRCh. 4 - Prob. 15CRCh. 4 - Prob. 16CRCh. 4 - Prob. 17CRCh. 4 - Prob. 18CRCh. 4 - Prob. 19CRCh. 4 - Prob. 20CRCh. 4 - Prob. 21CRCh. 4 - Prob. 22CRCh. 4 - Prob. 23CRCh. 4 - Prob. 24CRCh. 4 - Prob. 25CRCh. 4 - Prob. 26CRCh. 4 - Prob. 27CRCh. 4 - Prob. 28CRCh. 4 - Prob. 29CRCh. 4 - Prob. 30CRCh. 4 - Prob. 31CRCh. 4 - Prob. 32CRCh. 4 - Prob. 33CRCh. 4 - Prob. 34CRCh. 4 - Prob. 35CRCh. 4 - Prob. 36CRCh. 4 - Prob. 37CRCh. 4 - Prob. 38CRCh. 4 - Prob. 39CRCh. 4 - Prob. 40CRCh. 4 - Prob. 41CRCh. 4 - Prob. 42CRCh. 4 - Prob. 43CRCh. 4 - Prob. 44CR
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