
Basic College Mathematics (5th Edition)
5th Edition
ISBN: 9780321950970
Author: Elayn Martin-Gay
Publisher: PEARSON
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Question
Chapter 11.2, Problem 33E
To determine
To solve: The equation
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Students have asked these similar questions
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 11 Solutions
Basic College Mathematics (5th Edition)
Ch. 11.1 - Prob. 1PCh. 11.1 - Evaluate: 5x − y when x = 2 and y = −3
Ch. 11.1 - Evaluate: when r = 3, s = 3, and q = 1
Ch. 11.1 - Evaluate: 13 − (3a + 8) when a = −2
Ch. 11.1 - Prob. 5PCh. 11.1 - Prob. 6PCh. 11.1 - Prob. 7PCh. 11.1 - Prob. 8PCh. 11.1 - Prob. 9PCh. 11.1 - Prob. 10P
Ch. 11.1 - Prob. 11PCh. 11.1 - Simplify each expression by combining like...Ch. 11.1 - Multiply.
7(8a)
Ch. 11.1 - Multiply.
−5(9x)
Ch. 11.1 - Use the distributive property to multiply: 7 (y +...Ch. 11.1 - Prob. 16PCh. 11.1 - Prob. 17PCh. 11.1 - Prob. 18PCh. 11.1 - Prob. 19PCh. 11.1 - Prob. 20PCh. 11.1 - Prob. 1VRVCh. 11.1 - Prob. 2VRVCh. 11.1 - Use the choices below to fill in each blank. Some...Ch. 11.1 - Use the choices below to fill in each blank. Some...Ch. 11.1 - Use the choices below to fill in each blank. Some...Ch. 11.1 - Prob. 6VRVCh. 11.1 - Prob. 7VRVCh. 11.1 - Prob. 8VRVCh. 11.1 - Prob. 9VRVCh. 11.1 - Prob. 10VRVCh. 11.1 - Prob. 11VRVCh. 11.1 - Prob. 12VRVCh. 11.1 - Prob. 13VRVCh. 11.1 - Identify each pair of terms as like terms or...Ch. 11.1 - Identify each pair of terms as like terms or...Ch. 11.1 - Identify each pair of terms as like terms or...Ch. 11.1 - Prob. 17VRVCh. 11.1 - Prob. 18VRVCh. 11.1 - Prob. 1ECh. 11.1 - Prob. 2ECh. 11.1 - Prob. 3ECh. 11.1 - Prob. 4ECh. 11.1 - Prob. 5ECh. 11.1 - Evaluate each expression when x = −2, y = 5, and z...Ch. 11.1 - Evaluate each expression when x = –2, y = 5, and z...Ch. 11.1 - Evaluate each expression when x = −2, y = 5, and z...Ch. 11.1 - Prob. 9ECh. 11.1 - Prob. 10ECh. 11.1 - Prob. 11ECh. 11.1 - Prob. 12ECh. 11.1 - Prob. 13ECh. 11.1 - Prob. 14ECh. 11.1 - Prob. 15ECh. 11.1 - Prob. 16ECh. 11.1 - Evaluate each expression when x = −2, y = 5, and z...Ch. 11.1 - Evaluate each expression when x = −2, y = 5, and z...Ch. 11.1 - Evaluate each expression when x = −2, y = 5, and z...Ch. 11.1 - Prob. 20ECh. 11.1 - Prob. 21ECh. 11.1 - Prob. 22ECh. 11.1 - Prob. 23ECh. 11.1 - Prob. 24ECh. 11.1 - Prob. 25ECh. 11.1 - Prob. 26ECh. 11.1 - Evaluate each expression when x = −2, y = 5, and z...Ch. 11.1 - Evaluate each expression when x = −2, y = 5, and z...Ch. 11.1 - Evaluate each expression when x = −2, y = 5, and z...Ch. 11.1 - Prob. 30ECh. 11.1 - Prob. 31ECh. 11.1 - Prob. 32ECh. 11.1 - Prob. 33ECh. 11.1 - Prob. 34ECh. 11.1 - Prob. 35ECh. 11.1 - Prob. 36ECh. 11.1 - Prob. 37ECh. 11.1 - Evaluate each expression when x = −2, y = 5, and z...Ch. 11.1 - Evaluate each expression when x = −2, y = 5, and z...Ch. 11.1 - Prob. 40ECh. 11.1 - Prob. 41ECh. 11.1 - Prob. 42ECh. 11.1 - Prob. 43ECh. 11.1 - Prob. 44ECh. 11.1 - Prob. 45ECh. 11.1 - Prob. 46ECh. 11.1 - Prob. 47ECh. 11.1 - Prob. 48ECh. 11.1 - Prob. 49ECh. 11.1 - Prob. 50ECh. 11.1 - Prob. 51ECh. 11.1 - Prob. 52ECh. 11.1 - Prob. 53ECh. 11.1 - Prob. 54ECh. 11.1 - Prob. 55ECh. 11.1 - Prob. 56ECh. 11.1 - Prob. 57ECh. 11.1 - Prob. 58ECh. 11.1 - Prob. 59ECh. 11.1 - Prob. 60ECh. 11.1 - Prob. 61ECh. 11.1 - Prob. 62ECh. 11.1 - Prob. 63ECh. 11.1 - Prob. 64ECh. 11.1 - Prob. 65ECh. 11.1 - Prob. 66ECh. 11.1 - Prob. 67ECh. 11.1 - Prob. 68ECh. 11.1 - Prob. 69ECh. 11.1 - Prob. 70ECh. 11.1 - Prob. 71ECh. 11.1 - Prob. 72ECh. 11.1 - Prob. 73ECh. 11.1 - Prob. 74ECh. 11.1 - Prob. 75ECh. 11.1 - Prob. 76ECh. 11.1 - Prob. 77ECh. 11.1 - Prob. 78ECh. 11.1 - Prob. 79ECh. 11.1 - Prob. 80ECh. 11.1 - Prob. 81ECh. 11.1 - Prob. 82ECh. 11.1 - Prob. 83ECh. 11.1 - Prob. 84ECh. 11.1 - Prob. 85ECh. 11.1 - Prob. 86ECh. 11.1 - Prob. 87ECh. 11.1 - Prob. 88ECh. 11.1 - Prob. 89ECh. 11.1 - Prob. 90ECh. 11.1 - Solve. See Examples 1 through 20.
Find the area of...Ch. 11.1 - Solve. See Examples 1 through 20.
Mario’s Pizza...Ch. 11.1 - Prob. 93ECh. 11.1 - Prob. 94ECh. 11.1 - Prob. 95ECh. 11.1 - Prob. 96ECh. 11.1 - Prob. 97ECh. 11.1 - Prob. 98ECh. 11.1 - Perform each indicated operation. See Sections...Ch. 11.1 - Perform each indicated operation. See Sections...Ch. 11.1 - Perform each indicated operation. See Sections...Ch. 11.1 - Prob. 102ECh. 11.1 - Prob. 103ECh. 11.1 - Prob. 104ECh. 11.1 - Prob. 105ECh. 11.1 - Prob. 106ECh. 11.1 - Prob. 107ECh. 11.1 - Prob. 108ECh. 11.1 - Prob. 109ECh. 11.1 - Review the commutative, associative, and...Ch. 11.1 - Review the commutative, associative, and...Ch. 11.1 - Review the commutative, associative, and...Ch. 11.1 - Prob. 113ECh. 11.1 - Prob. 114ECh. 11.1 - Prob. 115ECh. 11.1 - Prob. 116ECh. 11.1 - Prob. 117ECh. 11.1 - Prob. 118ECh. 11.1 - Prob. 119ECh. 11.1 - Prob. 120ECh. 11.2 - Determine whether 4 is a solution of the...Ch. 11.2 - Determine whether −2 is a solution of the...Ch. 11.2 - Solve the equation for y: y − 5 = −3
Ch. 11.2 - Prob. 4PCh. 11.2 - Prob. 5PCh. 11.2 - Prob. 6PCh. 11.2 - Prob. 7PCh. 11.2 - Prob. 8PCh. 11.2 - Prob. 1VRVCh. 11.2 - Prob. 2VRVCh. 11.2 - Use the choices below to fill in each blank.
The...Ch. 11.2 - Use the choices below to fill in each blank.
For...Ch. 11.2 - Use the choices below to fill in each blank.
By...Ch. 11.2 - Prob. 1ECh. 11.2 - Prob. 2ECh. 11.2 - Prob. 3ECh. 11.2 - Prob. 4ECh. 11.2 - Prob. 5ECh. 11.2 - Prob. 6ECh. 11.2 - Prob. 7ECh. 11.2 - Prob. 8ECh. 11.2 - Prob. 9ECh. 11.2 - Solve. Check each solution.
f + 4 = −6
Ch. 11.2 - Solve. Check each solution.
d − 9 = −17
Ch. 11.2 -
Solve. Check each solution.
s − 7 = 15
Ch. 11.2 - Prob. 13ECh. 11.2 - Prob. 14ECh. 11.2 - Prob. 15ECh. 11.2 - Prob. 16ECh. 11.2 - Prob. 17ECh. 11.2 - Prob. 18ECh. 11.2 - Prob. 19ECh. 11.2 - Prob. 20ECh. 11.2 - Solve. Check each solution.
x − 3 = −1 + 4
Ch. 11.2 - Solve. Check each solution.
y − 8 = −5 − 1
Ch. 11.2 - Solve. Check each solution.
−7 + 10 = m − 5
Ch. 11.2 - Prob. 24ECh. 11.2 - Prob. 25ECh. 11.2 - Prob. 26ECh. 11.2 - Prob. 27ECh. 11.2 - Prob. 28ECh. 11.2 - Prob. 29ECh. 11.2 - Prob. 30ECh. 11.2 - Prob. 31ECh. 11.2 - Prob. 32ECh. 11.2 - Solve. Check each solution.
5 + (−12) = 5x − 7 −...Ch. 11.2 - Solve. Check each solution.
11 + (−15) = 6x − 4 −...Ch. 11.2 - Solve. Check each solution.
7x + 14 − 6x = −4 + (–...Ch. 11.2 - Prob. 36ECh. 11.2 - Prob. 37ECh. 11.2 - Prob. 38ECh. 11.2 - Solve. First multiply to remove parentheses.
3y =...Ch. 11.2 - Prob. 40ECh. 11.2 - Prob. 41ECh. 11.2 - Prob. 42ECh. 11.2 - Solve. First multiply to remove parentheses.
−3(−4...Ch. 11.2 - Solve. First multiply to remove parentheses.
−2(−1...Ch. 11.2 - Perform each indicated operation.
Ch. 11.2 - Prob. 46ECh. 11.2 - Prob. 47ECh. 11.2 - Perform each indicated operation.
Ch. 11.2 - Prob. 49ECh. 11.2 - Prob. 50ECh. 11.2 - Prob. 51ECh. 11.2 - Prob. 52ECh. 11.2 - What number should be added to or subtracted from...Ch. 11.2 - What number should be added to or subtracted from...Ch. 11.2 - In your own words, explain what is meant by the...Ch. 11.2 - Prob. 56ECh. 11.2 - Prob. 57ECh. 11.2 - Prob. 58ECh. 11.2 - Prob. 59ECh. 11.2 - Prob. 60ECh. 11.2 - Prob. 61ECh. 11.2 - Prob. 62ECh. 11.3 - Prob. 1PCh. 11.3 - Solve: −16 = 8x
Ch. 11.3 - Solve: −0.3y = −27
Ch. 11.3 - Solve:
Ch. 11.3 - Prob. 5PCh. 11.3 - Prob. 6PCh. 11.3 - Prob. 7PCh. 11.3 - Prob. 8PCh. 11.3 - Prob. 1VRVCh. 11.3 - Prob. 2VRVCh. 11.3 - Use the choices below to fill in each blank.
The...Ch. 11.3 - Use the choices below to fill in each blank.
For...Ch. 11.3 - Prob. 5VRVCh. 11.3 - Prob. 1ECh. 11.3 - Prob. 2ECh. 11.3 - Prob. 3ECh. 11.3 - Solve. See Examples 1 through 5.
−2x = 26
Ch. 11.3 - Solve. See Examples 1 through 5.
0.4y = −12
Ch. 11.3 - Solve. See Examples 1 through 5.
0.8x = −8
Ch. 11.3 - Prob. 7ECh. 11.3 - Prob. 8ECh. 11.3 - Prob. 9ECh. 11.3 - Prob. 10ECh. 11.3 - Prob. 11ECh. 11.3 - Solve. See Examples 1 through 5.
Ch. 11.3 - Solve. See Examples 1 through 5.
Ch. 11.3 - Solve. See Examples 1 through 5.
Ch. 11.3 - Prob. 15ECh. 11.3 - Prob. 16ECh. 11.3 - Prob. 17ECh. 11.3 - Prob. 18ECh. 11.3 - Prob. 19ECh. 11.3 - Prob. 20ECh. 11.3 - Prob. 21ECh. 11.3 - Solve. First combine any like terms on each side...Ch. 11.3 - Solve. First combine any like terms on each side...Ch. 11.3 - Solve. First combine any like terms on each side...Ch. 11.3 - Prob. 25ECh. 11.3 - Prob. 26ECh. 11.3 - Prob. 27ECh. 11.3 - Prob. 28ECh. 11.3 - Prob. 29ECh. 11.3 - Prob. 30ECh. 11.3 - Prob. 31ECh. 11.3 - Prob. 32ECh. 11.3 - Prob. 33ECh. 11.3 - Solve. See Examples 1 through 8.
Ch. 11.3 - Solve. See Examples 1 through 8.
−3.6 = −0.9u +...Ch. 11.3 - Solve. See Examples 1 through 8.
−5.4 = −1.4y +...Ch. 11.3 - Prob. 37ECh. 11.3 - Prob. 38ECh. 11.3 - Prob. 39ECh. 11.3 - Prob. 40ECh. 11.3 - Prob. 41ECh. 11.3 - Prob. 42ECh. 11.3 - Prob. 43ECh. 11.3 - Prob. 44ECh. 11.3 - Prob. 45ECh. 11.3 - Prob. 46ECh. 11.3 - Prob. 47ECh. 11.3 - Prob. 48ECh. 11.3 - Prob. 49ECh. 11.3 - Prob. 50ECh. 11.3 - Prob. 51ECh. 11.3 - Prob. 52ECh. 11.3 - Prob. 53ECh. 11.3 - Prob. 54ECh. 11.3 - Prob. 55ECh. 11.3 - Prob. 56ECh. 11.3 - Prob. 57ECh. 11.3 - Prob. 58ECh. 11.3 - Prob. 59ECh. 11.3 - Prob. 60ECh. 11.3 - Prob. 61ECh. 11.3 - Prob. 62ECh. 11.3 - Prob. 63ECh. 11.3 - Prob. 64ECh. 11.3 - Prob. 65ECh. 11.3 - Prob. 66ECh. 11.3 - Prob. 67ECh. 11.3 - Prob. 68ECh. 11.3 - Prob. 69ECh. 11.3 - Prob. 70ECh. 11.3 - Prob. 71ECh. 11.3 - Prob. 72ECh. 11.3 - Prob. 73ECh. 11.3 - Prob. 74ECh. 11.3 - Prob. 75ECh. 11.3 - Prob. 76ECh. 11.4 - Prob. 1PCh. 11.4 - Prob. 2PCh. 11.4 - Prob. 3PCh. 11.4 - Prob. 4PCh. 11.4 - Solve: 8x + 4.2 = 10x − 11.6
Ch. 11.4 - Prob. 6PCh. 11.4 - Prob. 7PCh. 11.4 - Prob. 8PCh. 11.4 - Prob. 1VRVCh. 11.4 - Prob. 2VRVCh. 11.4 - Use the choices below to fill in each blank. Some...Ch. 11.4 - Use the order of the Steps for Solving an Equation...Ch. 11.4 - Use the order of the Steps for Solving an Equation...Ch. 11.4 - Prob. 6VRVCh. 11.4 - Prob. 1ECh. 11.4 - Prob. 2ECh. 11.4 - Prob. 3ECh. 11.4 - Prob. 4ECh. 11.4 - Prob. 5ECh. 11.4 - Prob. 6ECh. 11.4 - Solve each equation.
Ch. 11.4 - Solve each equation.
Ch. 11.4 - Prob. 9ECh. 11.4 - Prob. 10ECh. 11.4 - Prob. 11ECh. 11.4 - Prob. 12ECh. 11.4 - Prob. 13ECh. 11.4 - Prob. 14ECh. 11.4 - Prob. 15ECh. 11.4 - Prob. 16ECh. 11.4 - Prob. 17ECh. 11.4 - Prob. 18ECh. 11.4 - Solve each equation.
−1.4x − 2 = −1.2x + 7
Ch. 11.4 - Solve each equation.
5.7y + 14 = 5.4y − 10
Ch. 11.4 - Prob. 21ECh. 11.4 - Prob. 22ECh. 11.4 - Prob. 23ECh. 11.4 - Prob. 24ECh. 11.4 - Prob. 25ECh. 11.4 - Prob. 26ECh. 11.4 - Prob. 27ECh. 11.4 - Prob. 28ECh. 11.4 - Prob. 29ECh. 11.4 - Solve each equation.
22 − 42 = 4(x − 1)
Ch. 11.4 - Solve each equation.
2(y − 3) = y − 6
Ch. 11.4 - Solve each equation.
3(z + 2) = 5z + 6
Ch. 11.4 - Prob. 33ECh. 11.4 - Prob. 34ECh. 11.4 - Prob. 35ECh. 11.4 - Prob. 36ECh. 11.4 - Prob. 37ECh. 11.4 - Prob. 38ECh. 11.4 - Prob. 39ECh. 11.4 - Prob. 40ECh. 11.4 - Solve each equation.
8 − b = 13
Ch. 11.4 - Prob. 42ECh. 11.4 - Prob. 43ECh. 11.4 - Prob. 44ECh. 11.4 - Prob. 45ECh. 11.4 - Prob. 46ECh. 11.4 - Prob. 47ECh. 11.4 - Prob. 48ECh. 11.4 - Prob. 49ECh. 11.4 - Prob. 50ECh. 11.4 - Prob. 51ECh. 11.4 - Prob. 52ECh. 11.4 - Prob. 53ECh. 11.4 - Prob. 54ECh. 11.4 - Prob. 55ECh. 11.4 - Prob. 56ECh. 11.4 - Prob. 57ECh. 11.4 - Prob. 58ECh. 11.4 - Prob. 59ECh. 11.4 - Prob. 60ECh. 11.4 - Prob. 61ECh. 11.4 - Prob. 62ECh. 11.4 - Prob. 63ECh. 11.4 - Prob. 64ECh. 11.4 - Prob. 65ECh. 11.4 - Prob. 66ECh. 11.4 - Prob. 67ECh. 11.4 - Prob. 68ECh. 11.4 - Prob. 69ECh. 11.4 - Solve each equation.
Ch. 11.4 - Prob. 71ECh. 11.4 - Prob. 72ECh. 11.4 - Prob. 73ECh. 11.4 - Prob. 74ECh. 11.4 - Prob. 75ECh. 11.4 - Prob. 76ECh. 11.4 - Prob. 77ECh. 11.4 - Prob. 78ECh. 11.4 - Prob. 79ECh. 11.4 - Prob. 80ECh. 11.4 - Prob. 81ECh. 11.4 - Prob. 82ECh. 11.4 - Solve each equation.
10 + 5(z – 2) = 4z + 1
Ch. 11.4 - Prob. 84ECh. 11.4 - Prob. 85ECh. 11.4 - Prob. 86ECh. 11.4 - Prob. 87ECh. 11.4 - Prob. 88ECh. 11.4 - Prob. 89ECh. 11.4 - Write each sentence as an equation. See Example...Ch. 11.4 - Write each sentence as an equation. See Example...Ch. 11.4 - Write each sentence as an equation. See Example...Ch. 11.4 - Prob. 93ECh. 11.4 - Prob. 94ECh. 11.4 - Prob. 95ECh. 11.4 - Prob. 96ECh. 11.4 - Using the steps for solving an equation, choose...Ch. 11.4 - Prob. 98ECh. 11.4 - Prob. 99ECh. 11.4 - Prob. 100ECh. 11.4 - Prob. 101ECh. 11.4 - Prob. 102ECh. 11.4 - Prob. 103ECh. 11.4 - Prob. 104ECh. 11.4 - Prob. 105ECh. 11.4 - Prob. 106ECh. 11.4 - A classmate tries to solve 3x = 39 by subtracting...Ch. 11.4 - A classmate tries to solve 2 + x = 20 by dividing...Ch. 11.4 - The equation gives the relationship between...Ch. 11.4 - Prob. 110ECh. 11.4 - Prob. 111ECh. 11.4 - Prob. 112ECh. 11.5 - Prob. 1PCh. 11.5 - Prob. 2PCh. 11.5 - Prob. 3PCh. 11.5 - Prob. 4PCh. 11.5 - Prob. 5PCh. 11.5 - Write each phrase as a variable expression. Use x...Ch. 11.5 - Prob. 2ECh. 11.5 - Write each phrase as a variable expression. Use x...Ch. 11.5 - Prob. 4ECh. 11.5 - Prob. 5ECh. 11.5 - Prob. 6ECh. 11.5 - Prob. 7ECh. 11.5 - Prob. 8ECh. 11.5 - Prob. 9ECh. 11.5 - Prob. 10ECh. 11.5 - Prob. 11ECh. 11.5 - Prob. 12ECh. 11.5 - Write each sentence as an equation. Use x to...Ch. 11.5 - Write each sentence as an equation. Use x to...Ch. 11.5 - Write each sentence as an equation. Use x to...Ch. 11.5 - Prob. 16ECh. 11.5 - Prob. 17ECh. 11.5 - Prob. 18ECh. 11.5 - Prob. 19ECh. 11.5 - Prob. 20ECh. 11.5 - Prob. 21ECh. 11.5 - Prob. 22ECh. 11.5 - Objectives A B Mixed Practice Translating Write...Ch. 11.5 - Objectives A B Mixed Practice Translating Write...Ch. 11.5 - Objectives A B Mixed Practice Translating Write...Ch. 11.5 - Objectives A B Mixed Practice Translating Write...Ch. 11.5 - Prob. 27ECh. 11.5 - Prob. 28ECh. 11.5 - Prob. 29ECh. 11.5 - Prob. 30ECh. 11.5 - Prob. 31ECh. 11.5 - Translate each to an equation. Then solve the...Ch. 11.5 - Prob. 33ECh. 11.5 - Prob. 34ECh. 11.5 - Prob. 35ECh. 11.5 - Translate each to an equation. Then solve the...Ch. 11.5 - Translate each to an equation. Then solve the...Ch. 11.5 - Translate each to an equation. Then solve the...Ch. 11.5 - Prob. 39ECh. 11.5 - Prob. 40ECh. 11.5 - Prob. 41ECh. 11.5 - Translate each to an equation. Then solve the...Ch. 11.5 - Prob. 43ECh. 11.5 - Prob. 44ECh. 11.5 - Prob. 45ECh. 11.5 - Prob. 46ECh. 11.5 - Prob. 47ECh. 11.5 - The average life expectancy for an elephant is 24...Ch. 11.5 - Prob. 49ECh. 11.5 - Prob. 50ECh. 11.5 - Prob. 51ECh. 11.5 - Prob. 52ECh. 11.5 - The two NCAA stadiums with the largest capacities...Ch. 11.5 - Prob. 54ECh. 11.5 - Prob. 55ECh. 11.5 - Prob. 56ECh. 11.5 - Prob. 57ECh. 11.5 - Prob. 58ECh. 11.5 - Prob. 59ECh. 11.5 - Prob. 60ECh. 11.5 - Prob. 61ECh. 11.5 - Prob. 62ECh. 11.5 - Prob. 63ECh. 11.5 - Prob. 64ECh. 11.5 - Prob. 65ECh. 11.5 - Prob. 66ECh. 11.5 - Prob. 67ECh. 11.5 - Prob. 68ECh. 11.5 - Prob. 69ECh. 11.5 - Prob. 70ECh. 11.5 - Prob. 71ECh. 11.5 - Prob. 72ECh. 11.5 - Prob. 73ECh. 11.5 - Prob. 74ECh. 11.5 - Prob. 75ECh. 11.5 - Prob. 76ECh. 11.5 - Prob. 77ECh. 11.5 - Prob. 78ECh. 11 - Prob. 1IRCh. 11 - Prob. 2IRCh. 11 - Prob. 3IRCh. 11 - For the table below, identify each as an...Ch. 11 - Fill in each blank with “simplify” or “solve.”
To...Ch. 11 - Prob. 6IRCh. 11 - Prob. 7IRCh. 11 - Prob. 8IRCh. 11 - Prob. 9IRCh. 11 - Prob. 10IRCh. 11 - Prob. 11IRCh. 11 - Simplify each expression by combining like...Ch. 11 - Simplify each expression by combining like...Ch. 11 - Simplify each expression by combining like...Ch. 11 - Prob. 15IRCh. 11 - Prob. 16IRCh. 11 - Prob. 17IRCh. 11 - Prob. 18IRCh. 11 - Prob. 19IRCh. 11 - Prob. 20IRCh. 11 - Prob. 21IRCh. 11 - Prob. 22IRCh. 11 - Solve and check.
Ch. 11 - Solve and check.
−7y = 0
Ch. 11 - Solve and check.
12 = 11x − 14x
Ch. 11 - Prob. 26IRCh. 11 - Prob. 27IRCh. 11 - Prob. 28IRCh. 11 - Prob. 29IRCh. 11 - Prob. 30IRCh. 11 - Solve and check.
Ch. 11 - Solve and check.
11x = 55
Ch. 11 - Fill in each blank with one of the words or...Ch. 11 - Prob. 2VCCh. 11 - Fill in each blank with one of the words or...Ch. 11 - Prob. 4VCCh. 11 - Prob. 5VCCh. 11 - Prob. 6VCCh. 11 - Fill in each blank with one of the words or...Ch. 11 - Fill in each blank with one of the words or...Ch. 11 - Fill in each blank with one of the words or...Ch. 11 - Prob. 10VCCh. 11 - Prob. 11VCCh. 11 - Fill in each blank with one of the words or...Ch. 11 - Fill in each blank with one of the words or...Ch. 11 - Evaluate each expression when x = 5, y = 0, and z...Ch. 11 - Prob. 2RECh. 11 - Prob. 3RECh. 11 - Prob. 4RECh. 11 - Prob. 5RECh. 11 - Prob. 6RECh. 11 - Prob. 7RECh. 11 - Prob. 8RECh. 11 - Lamar deposited his $5000 bonus into an account...Ch. 11 - Jennifer Lewis borrowed $2000 from her grandmother...Ch. 11 - Simplify each expression by combining like terms....Ch. 11 - Prob. 12RECh. 11 - Prob. 13RECh. 11 - Prob. 14RECh. 11 - Prob. 15RECh. 11 - Prob. 16RECh. 11 - Prob. 17RECh. 11 - Prob. 18RECh. 11 - Simplify.
7x + 3(x − 4) + x
Ch. 11 - Simplify.
4(x − 7) + 21
Ch. 11 - Simplify.
Ch. 11 - Prob. 22RECh. 11 - Prob. 23RECh. 11 - Prob. 24RECh. 11 - Prob. 25RECh. 11 - Prob. 26RECh. 11 - Prob. 27RECh. 11 - Prob. 28RECh. 11 - Prob. 29RECh. 11 - Solve.
Ch. 11 - Solve.
n + 18 = 10 − (−2)
Ch. 11 - Solve.
15 = 8x + 35 − 7x
Ch. 11 - Prob. 33RECh. 11 - Prob. 34RECh. 11 - Prob. 35RECh. 11 - Prob. 36RECh. 11 - Prob. 37RECh. 11 - Prob. 38RECh. 11 - Prob. 39RECh. 11 - Prob. 40RECh. 11 - Solve.
−1.2x = 144
Ch. 11 - Solve.
−0.8y = −10.4
Ch. 11 - Solve.
−5x = 100 − 120
Ch. 11 - Prob. 44RECh. 11 - Prob. 45RECh. 11 - Prob. 46RECh. 11 - Prob. 47RECh. 11 - Prob. 48RECh. 11 - Prob. 49RECh. 11 - Prob. 50RECh. 11 - Prob. 51RECh. 11 - Solve.
5x − 18 = −4x + 36
Ch. 11 - Solve.
5(n − 3) = 7 + 3n
Ch. 11 - Solve.
7(2 + x) = 4x − 1
Ch. 11 - Prob. 55RECh. 11 - Prob. 56RECh. 11 - Prob. 57RECh. 11 - Prob. 58RECh. 11 - Prob. 59RECh. 11 - Prob. 60RECh. 11 - Prob. 61RECh. 11 - Write each phrase as an algebraic expression. Use...Ch. 11 - Write each phrase as an algebraic expression. Use...Ch. 11 - Write each phrase as an algebraic expression. Use...Ch. 11 - Prob. 65RECh. 11 - Prob. 66RECh. 11 - Prob. 67RECh. 11 - Prob. 68RECh. 11 - Prob. 69RECh. 11 - Prob. 70RECh. 11 - Prob. 71RECh. 11 - Prob. 72RECh. 11 - Prob. 73RECh. 11 - Simplify.
−5(7x)
Ch. 11 - Simplify.
12x + 5(2x − 3) − 4
Ch. 11 - Prob. 76RECh. 11 - Prob. 77RECh. 11 - Prob. 78RECh. 11 - Prob. 79RECh. 11 - Prob. 80RECh. 11 - Prob. 81RECh. 11 - Prob. 82RECh. 11 - Prob. 83RECh. 11 - Simplify.
7x + 5 − 6x = −20
Ch. 11 - Simplify.
−7x + 3x = −50 − 2
Ch. 11 - Simplify.
−x + 8x = −38 − 4
Ch. 11 - Prob. 87RECh. 11 - Prob. 88RECh. 11 - Prob. 89RECh. 11 - Prob. 90RECh. 11 - Prob. 91RECh. 11 - Prob. 92RECh. 11 - Prob. 93RECh. 11 - Prob. 94RECh. 11 - Simplify.
Ch. 11 - Simplify.
Ch. 11 - Simplify.
−5z + 3z − 7 = 8z − 7
Ch. 11 - Prob. 98RECh. 11 - Prob. 99RECh. 11 - Prob. 100RECh. 11 - Prob. 1TCh. 11 - Prob. 2TCh. 11 - Prob. 3TCh. 11 - Prob. 4TCh. 11 - Prob. 5TCh. 11 - Prob. 6TCh. 11 - Prob. 7TCh. 11 - Prob. 8TCh. 11 - Prob. 9TCh. 11 - Prob. 10TCh. 11 - Prob. 11TCh. 11 - Prob. 12TCh. 11 - Prob. 13TCh. 11 - Prob. 14TCh. 11 - Prob. 15TCh. 11 - Prob. 16TCh. 11 - Prob. 17TCh. 11 - Prob. 18TCh. 11 - Prob. 19TCh. 11 - Prob. 20TCh. 11 - Prob. 21TCh. 11 - Prob. 22TCh. 11 - Prob. 23TCh. 11 - Prob. 24TCh. 11 - Prob. 25TCh. 11 - Prob. 1CRCh. 11 - Prob. 2CRCh. 11 - Prob. 3CRCh. 11 - Prob. 4CRCh. 11 - Prob. 5CRCh. 11 - Prob. 6CRCh. 11 - Prob. 7CRCh. 11 - Prob. 8CRCh. 11 - Convert 3 pounds to ounces.
Ch. 11 - Round 23,781 to the nearest thousand.
Ch. 11 - Prob. 11CRCh. 11 - Prob. 12CRCh. 11 - Prob. 13CRCh. 11 - Prob. 14CRCh. 11 - Find the diameter of the circle.
Ch. 11 - Prob. 16CRCh. 11 - Find the perimeter of the room shown below.
Ch. 11 - Find the area of the room in Exercise 17.
17. Find...Ch. 11 - Prob. 19CRCh. 11 - Prob. 20CRCh. 11 - Prob. 21CRCh. 11 - Prob. 22CRCh. 11 - Prob. 23CRCh. 11 - Prob. 24CRCh. 11 - Prob. 25CRCh. 11 - Prob. 26CRCh. 11 - Prob. 27CRCh. 11 - Insert < or > between each pair of numbers to make...Ch. 11 - Insert < or > between each pair of numbers to make...Ch. 11 - Insert < or > between each pair of numbers to make...Ch. 11 - Prob. 31CRCh. 11 - Prob. 32CRCh. 11 - Prob. 33CRCh. 11 - Prob. 34CRCh. 11 - Prob. 35CRCh. 11 - Prob. 36CRCh. 11 - Prob. 37CRCh. 11 - Prob. 38CRCh. 11 - Prob. 39CRCh. 11 - Subtract.
4.6 − (−1.2)
Ch. 11 - Subtract.
−4 − (−5)
Ch. 11 - Subtract.
Ch. 11 - Prob. 43CRCh. 11 - Prob. 44CRCh. 11 - Prob. 45CRCh. 11 - Prob. 46CRCh. 11 - Prob. 47CRCh. 11 - Prob. 48CRCh. 11 - Prob. 49CRCh. 11 - Solve: 6(x − 5) = 4(x + 4) − 6
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