Prealgebra (6th Edition)
Prealgebra (6th Edition)
6th Edition
ISBN: 9780134179018
Author: Jamie Blair, John Tobey Jr., Jeffrey Slater, Jenny Crawford
Publisher: PEARSON
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Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 …
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experime…
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Chapter 7.1, Problem 15E

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a + 9 = − 1

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The Martin-Beck Company operates a plant in St. Louis with an annual capacity of 30,000 units. Product is shipped to regional distribution centers located in Boston, Atlanta, and Houston. Because of an anticipated increase in demand, Martin-Beck plans to increase capacity by constructing a new plant in one or more of the following cities: Detroit, Toledo, Denver, or Kansas. The following is a linear program used to determine which cities Martin-Beck should construct a plant in. Let y₁ = 1 if a plant is constructed in Detroit; 0 if not y₂ = 1 if a plant is constructed in Toledo; 0 if not y₂ = 1 if a plant is constructed in Denver; 0 if not y = 1 if a plant is constructed in Kansas City; 0 if not. The variables representing the amount shipped from each plant site to each distribution center are defined just as for a transportation problem. *,, = the units shipped in thousands from plant i to distribution center j i = 1 (Detroit), 2 (Toledo), 3 (Denver), 4 (Kansas City), 5 (St.Louis) and…
Consider the following mixed-integer linear program. Max     3x1  +  4x2 s.t.   4x1  +  7x2  ≤  28   8x1  +  5x2  ≤  40 x1, x2 ≥ and x1 integer (a) Graph the constraints for this problem. Indicate on your graph all feasible mixed-integer solutions. On the coordinate plane the horizontal axis is labeled x1 and the vertical axis is labeled x2. A region bounded by a series of connected line segments, and several horizontal lines are on the graph. The series of line segments connect the approximate points (0, 4), (3.889, 1.778), and (5, 0). The region is above the horizontal axis, to the right of the vertical axis, and below the line segments. At each integer value between 0 and 4 on the vertical axis, a horizontal line extends out from the vertical axis to the series of connect line segments.   On the coordinate plane the horizontal axis is labeled x1 and the vertical axis is labeled x2. A region bounded by a series of connected line segments, and several…
Consider the nonlinear optimization model stated below. Min s.t. 2x²-18x + 2XY + y² - 14Y + 53 x + 4Y ≤ 8 (a) Find the minimum solution to this problem. |at (X, Y) = (b) If the right-hand side of the constraint is increased from 8 to 9, how much do you expect the objective function to change? Based on the dual value on the constraint X + 4Y ≤ 8, we expect the optimal objective function value to decrease by (c) Resolve the problem with a new right-hand side of the constraint of 9. How does the actual change compare with your estimate? If we resolve the problem with a new right-hand-side of 9 the new optimal objective function value is| , so the actual change is a decrease of rather than what we expected in part (b).

Chapter 7 Solutions

Prealgebra (6th Edition)

Ch. 7.1 - Fill in the blanks. To solve the equation y+8=17,...Ch. 7.1 - Fill in the blanks. To solve the equation a1=7, we...Ch. 7.1 - Fill in the blanks. To solve the equation x15=82,...Ch. 7.1 - Fill in the blanks. To solve the equation x+15=22,...Ch. 7.1 - Fill in the blanks. Before we solve the equation...Ch. 7.1 - Fill in the blanks. Before we solve the equation...Ch. 7.1 - Fill in each blank with the missing phrase. To...Ch. 7.1 - Fill in each blank with the missing phrase. To...Ch. 7.1 - Fill in each blank with the missing phrase. To...Ch. 7.1 - Fill in each blank with the missing phrase. To...
Ch. 7.1 - Fill in each blank with the missing phrase. We...Ch. 7.1 - Fill in each blank with the missing phrase. We...Ch. 7.1 - Solve and check your answer. a6=19Ch. 7.1 - Solve and check your answer. y4=11Ch. 7.1 - Solve and check your answer. a+9=1Ch. 7.1 - Solve and check your answer. x+13=1Ch. 7.1 - Solve and check your answer. 5=x+5Ch. 7.1 - Solve and check your answer. 7=y+6Ch. 7.1 - Solve and check your answer. 79=y4Ch. 7.1 - Solve and check your answer. 811=x4Ch. 7.1 - Solve and check your answer. 712=x6+32Ch. 7.1 - Solve and check your answer. 813=x2+32Ch. 7.1 - Solve and check your answer. 8+42=a+64Ch. 7.1 - Solve and check your answer. 5+32=a+57Ch. 7.1 - Solve and check your answer. 12x111x1=5Ch. 7.1 - Solve and check your answer. 8x+77x+2=3Ch. 7.1 - Solve and check your answer. 1216=4y+83yCh. 7.1 - Solve and check your answer. 89=3x42xCh. 7.1 - Solve and check your answer. 6x65x+1=2+4Ch. 7.1 - Solve and check your answer. 11x+1210x1=4+11Ch. 7.1 - Solve and check your solution. 16=x3Ch. 7.1 - Solve and check your solution. 3=x2Ch. 7.1 - Solve and check your solution. 14=y2Ch. 7.1 - Solve and check your solution. 4=a6Ch. 7.1 - Solve and check your solution. a4=6+9Ch. 7.1 - Solve and check your solution. y3=911Ch. 7.1 - Solve and check your solution. x4=8+6Ch. 7.1 - Solve and check your solution. x5=6+2Ch. 7.1 - Solve and check your solution. y2=4+22Ch. 7.1 - Solve and check your solution. x1=5+42Ch. 7.1 - Solve and check your solution. 3x5=9Ch. 7.1 - Solve and check your solution. 57x=15Ch. 7.1 - Solve and check your solution. 23a=18Ch. 7.1 - Solve and check your solution. 58a=15Ch. 7.1 - Solve and check your solution. 76y=42+5Ch. 7.1 - Solve and check your solution. 37y=524Ch. 7.1 - Solve and check your solution. 3(2x)=24Ch. 7.1 - Solve and check your solution. 4(6x)=48Ch. 7.1 - Solve and check your solution. 6=2(5x)Ch. 7.1 - Solve and check your solution. 2=6(4x)Ch. 7.1 - Solve and check your solution. 8x+4(4x)=48Ch. 7.1 - Solve and check your solution. 6x+3(3x)=45Ch. 7.1 - Solve and check your solution. 6(2x)3x=30Ch. 7.1 - Solve and check your solution. 5(5x)4x=29Ch. 7.1 - Solve and check your solution. 102=3(4x)+2xCh. 7.1 - Solve and check your solution. 63=2(3x)+3xCh. 7.1 - Solve and check your solution. 213=5x+3(4x)Ch. 7.1 - Solve and check your solution. 328=8x+2(2x)Ch. 7.1 - Solve and check your solution. x=9Ch. 7.1 - Solve and check your solution. x=16Ch. 7.1 - Solve and check your solution. x=4Ch. 7.1 - Solve and check your solution. x=6Ch. 7.1 - Solve. a. 2x=12 b. x2=12 c. x2=12 d. x+2=12Ch. 7.1 - Solve. a. 5y=20 b. y5=20 c. x5=20 d. x+5=20Ch. 7.1 - Solve. a. y10=9 b. y+10=9 c. y10=9 d. 10y=9Ch. 7.1 - Solve. a. x6=11 b. x+6=11 c. x6=11 d. 6x=11Ch. 7.1 - Solve. 15=a+5Ch. 7.1 - Solve. 2=y+7Ch. 7.1 - Solve. 5x+24x=4Ch. 7.1 - Solve. 7x+36x=4Ch. 7.1 - Solve. x7=2+32Ch. 7.1 - Prob. 72ECh. 7.1 - Prob. 73ECh. 7.1 - Prob. 74ECh. 7.1 - Prob. 75ECh. 7.1 - Prob. 76ECh. 7.1 - Prob. 77ECh. 7.1 - Prob. 78ECh. 7.1 - Prob. 79ECh. 7.1 - Prob. 80ECh. 7.1 - The sum of each row, each column, and each...Ch. 7.1 - Prob. 82ECh. 7.1 - Prob. 83ECh. 7.1 - Prob. 84ECh. 7.1 - Prob. 85ECh. 7.1 - Prob. 86ECh. 7.1 - Prob. 87ECh. 7.1 - Prob. 88ECh. 7.1 - Prob. 89ECh. 7.1 - Prob. 1QQCh. 7.1 - Prob. 2QQCh. 7.1 - Prob. 3QQCh. 7.1 - Prob. 4QQCh. 7.2 - Write in words the question asked by each...Ch. 7.2 - Write in words the question asked by each...Ch. 7.2 - Prob. 3ECh. 7.2 - Fill in the boxes in each step with the values...Ch. 7.2 - Prob. 5ECh. 7.2 - Fill in the boxes in each step with the values...Ch. 7.2 - Prob. 7ECh. 7.2 - Fill in the boxes in each step with the values...Ch. 7.2 - Prob. 9ECh. 7.2 - Solve and check your solution. 3y9=12Ch. 7.2 - Prob. 11ECh. 7.2 - Solve and check your solution. 7x10=18Ch. 7.2 - Prob. 13ECh. 7.2 - Solve and check your solution. 15=6y3Ch. 7.2 - Prob. 15ECh. 7.2 - Solve and check your solution. 3x2=12Ch. 7.2 - Prob. 17ECh. 7.2 - Solve and check your solution. 6w+7=67Ch. 7.2 - Prob. 19ECh. 7.2 - Solve and check your solution. 5y9=74Ch. 7.2 - Prob. 21ECh. 7.2 - Solve and check your solution. 36=4x8Ch. 7.2 - Solve and check your solution. 1=75yCh. 7.2 - Solve and check your solution. 2=94xCh. 7.2 - Prob. 25ECh. 7.2 - Solve and check your solution. 10=46xCh. 7.2 - Prob. 27ECh. 7.2 - Solve and check your solution. 3=92yCh. 7.2 - Prob. 29ECh. 7.2 - Simplify the left side of the equation by...Ch. 7.2 - Prob. 31ECh. 7.2 - Simplify the left side of the equation by...Ch. 7.2 - Prob. 33ECh. 7.2 - Simplify the left side of the equation by...Ch. 7.2 - Prob. 35ECh. 7.2 - Prob. 36ECh. 7.2 - Prob. 37ECh. 7.2 - Prob. 38ECh. 7.2 - Prob. 39ECh. 7.2 - Prob. 40ECh. 7.2 - Prob. 41ECh. 7.2 - Prob. 42ECh. 7.2 - Prob. 43ECh. 7.2 - Prob. 44ECh. 7.2 - Prob. 45ECh. 7.2 - Prob. 46ECh. 7.2 - Prob. 47ECh. 7.2 - Prob. 48ECh. 7.2 - Solve and check your solution. 2y+6=12Ch. 7.2 - Prob. 50ECh. 7.2 - Prob. 51ECh. 7.2 - Prob. 52ECh. 7.2 - Prob. 53ECh. 7.2 - Prob. 54ECh. 7.2 - Solve and check your solution. 13x=8x+20Ch. 7.2 - Prob. 56ECh. 7.2 - Prob. 57ECh. 7.2 - Prob. 58ECh. 7.2 - Prob. 59ECh. 7.2 - Prob. 60ECh. 7.2 - Prob. 61ECh. 7.2 - Prob. 62ECh. 7.2 - Prob. 63ECh. 7.2 - Prob. 64ECh. 7.2 - Prob. 1QQCh. 7.2 - Prob. 2QQCh. 7.2 - Prob. 3QQCh. 7.2 - Prob. 4QQCh. 7.3 - Prob. 1ECh. 7.3 - Prob. 2ECh. 7.3 - Prob. 3ECh. 7.3 - Prob. 4ECh. 7.3 - Prob. 5ECh. 7.3 - Prob. 6ECh. 7.3 - Prob. 7ECh. 7.3 - Prob. 8ECh. 7.3 - Prob. 9ECh. 7.3 - Prob. 10ECh. 7.3 - Prob. 11ECh. 7.3 - Prob. 12ECh. 7.3 - Solve and check your solution. 4(2x+1)=53xCh. 7.3 - Prob. 14ECh. 7.3 - Prob. 15ECh. 7.3 - Prob. 16ECh. 7.3 - Prob. 17ECh. 7.3 - Prob. 18ECh. 7.3 - Prob. 19ECh. 7.3 - Prob. 20ECh. 7.3 - Prob. 21ECh. 7.3 - Solve and check your solution. 4(x2)=2(x+6)+31Ch. 7.3 - Prob. 23ECh. 7.3 - Prob. 24ECh. 7.3 - Prob. 25ECh. 7.3 - Prob. 26ECh. 7.3 - Prob. 27ECh. 7.3 - Prob. 28ECh. 7.3 - Prob. 29ECh. 7.3 - Prob. 30ECh. 7.3 - Prob. 31ECh. 7.3 - Solve and check your solution. 3(5x+1)4x=16Ch. 7.3 - Prob. 33ECh. 7.3 - Prob. 34ECh. 7.3 - Prob. 35ECh. 7.3 - Prob. 36ECh. 7.3 - Solve and check your solution. (x2+3x1)(2x+1)=x25Ch. 7.3 - Prob. 38ECh. 7.3 - Is x=19 a solution to (2x+9)+(3x2)(5x+1)=2(x6)(x1)...Ch. 7.3 - Prob. 40ECh. 7.3 - Prob. 41ECh. 7.3 - Prob. 42ECh. 7.3 - Prob. 43ECh. 7.3 - Prob. 44ECh. 7.3 - Prob. 45ECh. 7.3 - Prob. 46ECh. 7.3 - Prob. 1QQCh. 7.3 - Prob. 2QQCh. 7.3 - Prob. 3QQCh. 7.3 - Prob. 4QQCh. 7.4 - Fill in the blanks. To solve x3+x5=10 we multiply...Ch. 7.4 - Prob. 2ECh. 7.4 - Fill in each box with the correct number to...Ch. 7.4 - Prob. 4ECh. 7.4 - Solve and check your solution. x8+x4=3Ch. 7.4 - Prob. 6ECh. 7.4 - Solve and check your solution. x6+x4=5Ch. 7.4 - Prob. 8ECh. 7.4 - Solve and check your solution. x2x5=6Ch. 7.4 - Prob. 10ECh. 7.4 - Solve and check your solution. 3x+23=92Ch. 7.4 - Prob. 12ECh. 7.4 - Solve and check your solution. 5x+18=34Ch. 7.4 - Prob. 14ECh. 7.4 - Solve and check your solution. 5x12=18Ch. 7.4 - Prob. 16ECh. 7.4 - Solve and check your solution. 2x+12=37Ch. 7.4 - Prob. 18ECh. 7.4 - Solve and check your solution. 4x+23=16Ch. 7.4 - Prob. 20ECh. 7.4 - Solve and check your solution. x3+x=8Ch. 7.4 - Prob. 22ECh. 7.4 - Solve and check your solution. x3+x=6Ch. 7.4 - Prob. 24ECh. 7.4 - Solve and check your solution. x2+x=6Ch. 7.4 - Prob. 26ECh. 7.4 - Solve and check your solution. x42x=3Ch. 7.4 - Prob. 28ECh. 7.4 - Prob. 29ECh. 7.4 - Prob. 30ECh. 7.4 - Prob. 31ECh. 7.4 - Prob. 32ECh. 7.4 - Prob. 33ECh. 7.4 - Prob. 34ECh. 7.4 - Prob. 35ECh. 7.4 - Solve and check your solution. 59+x6=23Ch. 7.4 - Prob. 37ECh. 7.4 - Prob. 38ECh. 7.4 - Prob. 39ECh. 7.4 - Prob. 40ECh. 7.4 - Prob. 41ECh. 7.4 - Prob. 42ECh. 7.4 - Prob. 43ECh. 7.4 - Prob. 44ECh. 7.4 - Prob. 45ECh. 7.4 - Prob. 46ECh. 7.4 - Prob. 47ECh. 7.4 - Translate using symbols. [1.3.2] Twelve less than...Ch. 7.4 - Prob. 49ECh. 7.4 - Prob. 50ECh. 7.4 - Prob. 51ECh. 7.4 - Prob. 52ECh. 7.4 - Prob. 1QQCh. 7.4 - Prob. 2QQCh. 7.4 - Prob. 3QQCh. 7.4 - Prob. 4QQCh. 7.5 - Prob. 1ECh. 7.5 - Prob. 2ECh. 7.5 - Prob. 3ECh. 7.5 - Prob. 4ECh. 7.5 - Prob. 5ECh. 7.5 - Prob. 6ECh. 7.5 - Prob. 7ECh. 7.5 - Prob. 8ECh. 7.5 - Prob. 9ECh. 7.5 - Prob. 10ECh. 7.5 - Prob. 11ECh. 7.5 - Prob. 12ECh. 7.5 - Prob. 13ECh. 7.5 - Prob. 14ECh. 7.5 - Prob. 15ECh. 7.5 - Prob. 16ECh. 7.5 - Salary Comparison Mark is a teaching assistant at...Ch. 7.5 - Prob. 18ECh. 7.5 - Prob. 19ECh. 7.5 - Prob. 20ECh. 7.5 - Prob. 21ECh. 7.5 - Prob. 22ECh. 7.5 - Prob. 23ECh. 7.5 - Geometry A triangle has a perimeter of 24 inches....Ch. 7.5 - Prob. 25ECh. 7.5 - Geometry The perimeter of a rectangle is 74 feet....Ch. 7.5 - Price of College Books Jacob bought 2 books for...Ch. 7.5 - Number of Skiers On Monday the total number of...Ch. 7.5 - Prob. 29ECh. 7.5 - Prob. 30ECh. 7.5 - Prob. 31ECh. 7.5 - Geometry A triangle with all sides of equal length...Ch. 7.5 - a. Find the missing numbers for sequence x, then...Ch. 7.5 - Prob. 34ECh. 7.5 - Prob. 35ECh. 7.5 - a. Find the missing numbers for sequence x, then...Ch. 7.5 - [5.6.1]Checker Board The dimensions of an opened...Ch. 7.5 - Use the following information for problems 13. The...Ch. 7.5 - Prob. 2QQCh. 7.5 - Use the following information for problems 13. The...Ch. 7.5 - Concept Check The high school marching band...Ch. 7 - Prob. 1RPCh. 7 - Prob. 2RPCh. 7 - Prob. 3RPCh. 7 - Prob. 4RPCh. 7 - Solve and check your solution. 5+22=x5Ch. 7 - Solve and check your solution. 67a=221Ch. 7 - Solve and check your solution. 3x+2(4x)=182Ch. 7 - Solve and check your solution. x=18Ch. 7 - Prob. 9RPCh. 7 - Solve and check your solution. 6x8=34Ch. 7 - Solve and check your solution. 2y+16=58Ch. 7 - Solve and check your solution. 20=87yCh. 7 - Prob. 13RPCh. 7 - Solve and check your solution. 14y=19Ch. 7 - Solve and check your solution. 8x75x=15Ch. 7 - Solve and check your solution. 6x=9x+36Ch. 7 - Solve and check your solution. 5x=2x+30Ch. 7 - Solve and check your solution. 3x85x=6Ch. 7 - Prob. 19RPCh. 7 - Prob. 20RPCh. 7 - Solve and check your solution. 8x95x+18=3x2+2xCh. 7 - Prob. 22RPCh. 7 - Prob. 23RPCh. 7 - Solve and check your solution. 4(2x+9)+5x=3Ch. 7 - Prob. 25RPCh. 7 - Prob. 26RPCh. 7 - Prob. 27RPCh. 7 - Solve and check your solution. (5x2+x2)(5x25)=6x+9Ch. 7 - Prob. 29RPCh. 7 - Solve and check your solution. x5x2=6Ch. 7 - Solve and check your solution. y+y5=12Ch. 7 - Prob. 32RPCh. 7 - Solve and check your solution. 2x34=13Ch. 7 - Prob. 34RPCh. 7 - Solve and check your solution. 13=3y+12Ch. 7 - Prob. 36RPCh. 7 - For exercises 36 and 37: Write an equation. Solve...Ch. 7 - Prob. 38RPCh. 7 - For each of the following problems: a. Define the...Ch. 7 - For each of the following problems: a. Define the...Ch. 7 - Prob. 1TCh. 7 - Prob. 2TCh. 7 - Prob. 3TCh. 7 - Prob. 4TCh. 7 - Prob. 5TCh. 7 - Prob. 6TCh. 7 - Prob. 7TCh. 7 - Prob. 8TCh. 7 - Solve and check. 3=74yCh. 7 - Solve and check. 6x+49x=15Ch. 7 - Solve and check. 14x=2x+16Ch. 7 - Solve and check. 2x+4(3x6)=4(6x+2)Ch. 7 - Solve and check. 3(2x+6)+3x=27Ch. 7 - Solve and check. 4(x1)=6(x+2)+48Ch. 7 - Solve and check. (3x22x+1)+(3x210)=5x+5Ch. 7 - Prob. 16TCh. 7 - Prob. 17TCh. 7 - Prob. 18TCh. 7 - Write the answers. Use the following information...Ch. 7 - Prob. 20TCh. 7 - Write the answers. Use the following information...Ch. 7 - Write the answers. Use the following information...Ch. 7 - Write the answers. Use the following information...Ch. 7 - Write the answers. Use the following information...
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