تكلم مع الذكاء الاصطناعي
Deck 9: Systems of Equations and Inequalities
ملء الشاشة (f)
سؤال
Solve the system of equations below: 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Solve the system of equations below: 
A)no solution
B)
C)
D)
E)
A)no solution
B)
C)
D)
E)
سؤال
Solve each system of equations by the elimination method. 
A)no solution
B)
C)
D)
E)
A)no solution
B)
C)
D)
E)
سؤال
سؤال
Find the center of the circle whose graph passes through the points 
and 
A)
B)
C)
D)
E)
and A)
B)
C)
D)
E)
سؤال
Solve the system of equations below by the substitution method. 
A)no solution
B)
C)
D)
E)
A)no solution
B)
C)
D)
E)
سؤال
سؤال
The number x of picture cell phones a manufacturer is willing to sell at price p is given by 
where p is the price, in dollars, per picture cell phone. The number x of picture cell phones a distributor is willing to purchase is given by 
where p is the price, in dollars, per picture cell phone. Find the equilibrium price.
A)
B)
C)
D)
E)
where p is the price, in dollars, per picture cell phone. The number x of picture cell phones a distributor is willing to purchase is given by where p is the price, in dollars, per picture cell phone. Find the equilibrium price.A)
B)
C)
D)
E)
سؤال
Solve the system of equations below. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
سؤال
سؤال
Solve the system of equations below: 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Solve each system of equations by the substitution method. 
A)no solution
B)
C)
D)
E)
A)no solution
B)
C)
D)
E)
سؤال
Find the partial fraction decomposition of the rational expression below. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
The lines whose equations are 
and 
all intersect at the same point. What is the value of k ?
A)8
B)3
C)-5
D)-2
E)6
and all intersect at the same point. What is the value of k ?A)8
B)3
C)-5
D)-2
E)6
سؤال
A roundabout is a type of intersection that accommodates traffic flow in one direction, around a circular island. The graphic model below shows the numbers of cars per hour that are entering and leaving a roundabout where 
is 35 cars per hour, 
is 60 cars per hour, 
is 70 cars per hour, 
is 50 cars per hour, 
is 60 cars per hour, 
is 70 cars per hour, 
is 65 cars per hour, and 
is 50 cars per hour. 
What is the minimum number of cars per hour that can travel on 
?
A)25 cars per hour
B)0 cars per hour
C)20 cars per hour
D)15 cars per hour
E)10 cars per hour
is 35 cars per hour, is 60 cars per hour, is 70 cars per hour, is 50 cars per hour, is 60 cars per hour, is 70 cars per hour, is 65 cars per hour, and is 50 cars per hour. What is the minimum number of cars per hour that can travel on ?A)25 cars per hour
B)0 cars per hour
C)20 cars per hour
D)15 cars per hour
E)10 cars per hour
سؤال
Solve the system of equations below: 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Solve the system of equations below: 
A)
B)
C)
D)no solution
E)
A)
B)
C)
D)no solution
E)
سؤال
A large, rectangular electronic advertising sign for a hotel has a diagonal of 29.2 feet. The height of the sign is 0.6 times its width. Find the height of the sign. Round to the nearest tenth of a foot.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find an equation of the form 
whose graph passes through the points 
and 
.
A)
B)
C)
D)
E)
whose graph passes through the points and .A)
B)
C)
D)
E)
سؤال
Sketch the graph of the solution set of each system of inequalities. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Sketch the graph of the inequality below. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
سؤال
Minimize 
with the constraints 
Round answer to the nearest hundredth.
A)45.89
B)70.80
C)78.00
D)48.00
E)45.50
with the constraints Round answer to the nearest hundredth.A)45.89
B)70.80
C)78.00
D)48.00
E)45.50
سؤال
Sketch the graph of the solution set of the system of inequalities below. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Sketch the graph of the solution set of each system of inequalities. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
A company makes two types of telephone answering machines: the standard model and the deluxe model. Each machine passes through three processes: 
, 
, and 
. One standard answering machine requires 1 hour in 
, 5 hours in 
, and 3 hours in 
. One deluxe answering machine requires 3 hours in 
, 6 hours in 
, and 3 hours in 
. Because of employee work schedules, 
, is available for 27 hours, 
, is available for 63 hours, and 
is available for 36 hours. If the profit is $5 for each standard model and $12 for each deluxe model, how many units of each type should the company produce to maximize profit?
A)9 standard models and 0 deluxe models
B)0 standard models and 9 deluxe models
C)9 standard models and 3 deluxe models
D)12 standard models and 0 deluxe models
E)3 standard models and 8 deluxe models
, , and . One standard answering machine requires 1 hour in , 5 hours in , and 3 hours in . One deluxe answering machine requires 3 hours in , 6 hours in , and 3 hours in . Because of employee work schedules, , is available for 27 hours, , is available for 63 hours, and is available for 36 hours. If the profit is $5 for each standard model and $12 for each deluxe model, how many units of each type should the company produce to maximize profit?A)9 standard models and 0 deluxe models
B)0 standard models and 9 deluxe models
C)9 standard models and 3 deluxe models
D)12 standard models and 0 deluxe models
E)3 standard models and 8 deluxe models
سؤال
Sketch the graph of the inequality below. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find the partial fraction decomposition of the rational expression below. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find the partial fraction decomposition of the rational expression below. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
The sprinters on a track team use the following system of inequalities to determine their targeted exercise heart rate ranges for their workouts. 
In this system, y is the person s exercise heart rate in beats per minute and x is the person s age in years. Use the system of inequalities to determine the targeted exercise heart rate range for a sprinter who is 23 years old. Round the minimum and maximum targeted heart rates to the nearest beat per minute.
A)between 197 and 202 beats per minute
B)between 99 and 108 beats per minute
C)between 174 and 178 beats per minute
D)between 87 and 98 beats per minute
E)between 99 and 108 beats per minute.
In this system, y is the person s exercise heart rate in beats per minute and x is the person s age in years. Use the system of inequalities to determine the targeted exercise heart rate range for a sprinter who is 23 years old. Round the minimum and maximum targeted heart rates to the nearest beat per minute.A)between 197 and 202 beats per minute
B)between 99 and 108 beats per minute
C)between 174 and 178 beats per minute
D)between 87 and 98 beats per minute
E)between 99 and 108 beats per minute.
سؤال
Minimize 
with the constraints 
A)59
B)52
C)41
D)44
E)56
with the constraints A)59
B)52
C)41
D)44
E)56
سؤال
Sketch the graph of the inequality. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Maximize 
with the constraints 
. Round answer to the nearest hundredth.
A)59.50
B)126.00
C)69.00
D)40.50
E)91.80
with the constraints . Round answer to the nearest hundredth.A)59.50
B)126.00
C)69.00
D)40.50
E)91.80
سؤال
Graph the following inequality 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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العب
ملء الشاشة (f)
Deck 9: Systems of Equations and Inequalities
1
Solve the system of equations below:
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
2
Solve the system of equations below:
A)no solution
B)
C)
D)
E)
A)no solution
B)
C)
D)
E)
no solution
3
Solve each system of equations by the elimination method.
A)no solution
B)
C)
D)
E)
A)no solution
B)
C)
D)
E)
4
A painter leans a ladder against a vertical wall. The top of the ladder is 11 meters above the ground. When the bottom of the ladder is moved 1 meter farther away from the wall, the top of the ladder is 7 meters above the ground. What is the length of the ladder? Round to the nearest hundredth of a meter.
A)34.07 meters
B)27.87 meters
C)46.46 meters
D)43.36 meters
E)37.17 meters
A)34.07 meters
B)27.87 meters
C)46.46 meters
D)43.36 meters
E)37.17 meters
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5
Find the center of the circle whose graph passes through the points and
A)
B)
C)
D)
E)
and A)
B)
C)
D)
E)
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6
Solve the system of equations below by the substitution method.
A)no solution
B)
C)
D)
E)
A)no solution
B)
C)
D)
E)
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7
A company sells a large globe and a small globe. The volume of the large globe is four times the volume of the small globe. The difference between the volumes is 1161.36 cubic inches. Find the radius of the small globe. Round to the nearest tenth of an inch.
A)2.3 inches
B)4.5 inches
C)10.4 inches
D)7.2 inches
E)3.6 inches
A)2.3 inches
B)4.5 inches
C)10.4 inches
D)7.2 inches
E)3.6 inches
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8
The number x of picture cell phones a manufacturer is willing to sell at price p is given by where p is the price, in dollars, per picture cell phone. The number x of picture cell phones a distributor is willing to purchase is given by where p is the price, in dollars, per picture cell phone. Find the equilibrium price.
A)
B)
C)
D)
E)
where p is the price, in dollars, per picture cell phone. The number x of picture cell phones a distributor is willing to purchase is given by where p is the price, in dollars, per picture cell phone. Find the equilibrium price.A)
B)
C)
D)
E)
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9
Solve the system of equations below.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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10
A rectangular brochure is designed so that it has an area of 17.5 square inches and a perimeter of 17 inches. Find the width of the brochure. Assume the height is greater than the width.
A)7 inches
B)2.5 inches
C)1.75 inches
D)10 inches
E)3.5 inches
A)7 inches
B)2.5 inches
C)1.75 inches
D)10 inches
E)3.5 inches
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11
One acetic acid solution is 80% water and another is 45% water. How many liters of each solution should be mixed to produce 15 liters of a solution that is 59% water?
A)10 liters of the 80% solution and 5 liters of the 45% solution
B)13 liters of the 80% solution and 2 liters of the 45% solution
C)5 liters of the 80% solution and 10 liters of the 45% solution
D)2 liters of the 80% solution and 13 liters of the 45% solution
E)6 liters of the 80% solution and 9 liters of the 45% solution
A)10 liters of the 80% solution and 5 liters of the 45% solution
B)13 liters of the 80% solution and 2 liters of the 45% solution
C)5 liters of the 80% solution and 10 liters of the 45% solution
D)2 liters of the 80% solution and 13 liters of the 45% solution
E)6 liters of the 80% solution and 9 liters of the 45% solution
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12
Solve the system of equations below:
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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13
Solve each system of equations by the substitution method.
A)no solution
B)
C)
D)
E)
A)no solution
B)
C)
D)
E)
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14
Find the partial fraction decomposition of the rational expression below.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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15
The lines whose equations are and all intersect at the same point. What is the value of k ?
A)8
B)3
C)-5
D)-2
E)6
and all intersect at the same point. What is the value of k ?A)8
B)3
C)-5
D)-2
E)6
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16
A roundabout is a type of intersection that accommodates traffic flow in one direction, around a circular island. The graphic model below shows the numbers of cars per hour that are entering and leaving a roundabout where is 35 cars per hour, is 60 cars per hour, is 70 cars per hour, is 50 cars per hour, is 60 cars per hour, is 70 cars per hour, is 65 cars per hour, and is 50 cars per hour. What is the minimum number of cars per hour that can travel on ?
A)25 cars per hour
B)0 cars per hour
C)20 cars per hour
D)15 cars per hour
E)10 cars per hour
is 35 cars per hour, is 60 cars per hour, is 70 cars per hour, is 50 cars per hour, is 60 cars per hour, is 70 cars per hour, is 65 cars per hour, and is 50 cars per hour. What is the minimum number of cars per hour that can travel on ?A)25 cars per hour
B)0 cars per hour
C)20 cars per hour
D)15 cars per hour
E)10 cars per hour
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17
Solve the system of equations below:
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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18
Solve the system of equations below:
A)
B)
C)
D)no solution
E)
A)
B)
C)
D)no solution
E)
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19
A large, rectangular electronic advertising sign for a hotel has a diagonal of 29.2 feet. The height of the sign is 0.6 times its width. Find the height of the sign. Round to the nearest tenth of a foot.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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20
Find an equation of the form whose graph passes through the points and .
A)
B)
C)
D)
E)
whose graph passes through the points and .A)
B)
C)
D)
E)
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21
Sketch the graph of the solution set of each system of inequalities.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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22
Sketch the graph of the inequality below.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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23
An ice cream supplier has two machines that produce vanilla and chocolate ice cream. To meet one of its contractual obligations, the company must produce at least 78 gallons of vanilla ice cream and 22 gallons of chocolate ice cream per day. One machine makes 11 gallons of vanilla and 2 gallons of chocolate ice cream per hour. The second machine makes 6 gallons of vanilla and 5 gallons of chocolate ice cream per hour. It costs $38 per hour to run machine 1 and $38 per hour to run machine 2. How many hours should each machine be operated to fulfill the contract at the least expense?
A)Machine 1 for no hours and machine 2 for 2 hours.
B)Machine 1 for no hours and machine 2 for 6 hours.
C)Machine 1 for 6 hours and machine 2 for 2 hours.
D)Machine 1 for no hours and machine 2 for 13 hours.
E)Machine 1 for 2 hours and machine 2 for no hours.
A)Machine 1 for no hours and machine 2 for 2 hours.
B)Machine 1 for no hours and machine 2 for 6 hours.
C)Machine 1 for 6 hours and machine 2 for 2 hours.
D)Machine 1 for no hours and machine 2 for 13 hours.
E)Machine 1 for 2 hours and machine 2 for no hours.
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24
Minimize with the constraints Round answer to the nearest hundredth.
A)45.89
B)70.80
C)78.00
D)48.00
E)45.50
with the constraints Round answer to the nearest hundredth.A)45.89
B)70.80
C)78.00
D)48.00
E)45.50
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25
Sketch the graph of the solution set of the system of inequalities below.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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26
Sketch the graph of the solution set of each system of inequalities.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
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27
A company makes two types of telephone answering machines: the standard model and the deluxe model. Each machine passes through three processes: , , and . One standard answering machine requires 1 hour in , 5 hours in , and 3 hours in . One deluxe answering machine requires 3 hours in , 6 hours in , and 3 hours in . Because of employee work schedules, , is available for 27 hours, , is available for 63 hours, and is available for 36 hours. If the profit is $5 for each standard model and $12 for each deluxe model, how many units of each type should the company produce to maximize profit?
A)9 standard models and 0 deluxe models
B)0 standard models and 9 deluxe models
C)9 standard models and 3 deluxe models
D)12 standard models and 0 deluxe models
E)3 standard models and 8 deluxe models
, , and . One standard answering machine requires 1 hour in , 5 hours in , and 3 hours in . One deluxe answering machine requires 3 hours in , 6 hours in , and 3 hours in . Because of employee work schedules, , is available for 27 hours, , is available for 63 hours, and is available for 36 hours. If the profit is $5 for each standard model and $12 for each deluxe model, how many units of each type should the company produce to maximize profit?A)9 standard models and 0 deluxe models
B)0 standard models and 9 deluxe models
C)9 standard models and 3 deluxe models
D)12 standard models and 0 deluxe models
E)3 standard models and 8 deluxe models
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28
Sketch the graph of the inequality below.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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29
Find the partial fraction decomposition of the rational expression below.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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30
Find the partial fraction decomposition of the rational expression below.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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31
The sprinters on a track team use the following system of inequalities to determine their targeted exercise heart rate ranges for their workouts. In this system, y is the person s exercise heart rate in beats per minute and x is the person s age in years. Use the system of inequalities to determine the targeted exercise heart rate range for a sprinter who is 23 years old. Round the minimum and maximum targeted heart rates to the nearest beat per minute.
A)between 197 and 202 beats per minute
B)between 99 and 108 beats per minute
C)between 174 and 178 beats per minute
D)between 87 and 98 beats per minute
E)between 99 and 108 beats per minute.
In this system, y is the person s exercise heart rate in beats per minute and x is the person s age in years. Use the system of inequalities to determine the targeted exercise heart rate range for a sprinter who is 23 years old. Round the minimum and maximum targeted heart rates to the nearest beat per minute.A)between 197 and 202 beats per minute
B)between 99 and 108 beats per minute
C)between 174 and 178 beats per minute
D)between 87 and 98 beats per minute
E)between 99 and 108 beats per minute.
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افتح القفل للوصول البطاقات البالغ عددها 35 في هذه المجموعة.
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k this deck
32
Minimize with the constraints
A)59
B)52
C)41
D)44
E)56
with the constraints A)59
B)52
C)41
D)44
E)56
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افتح القفل للوصول البطاقات البالغ عددها 35 في هذه المجموعة.
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k this deck
33
Sketch the graph of the inequality.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 35 في هذه المجموعة.
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k this deck
34
Maximize with the constraints . Round answer to the nearest hundredth.
A)59.50
B)126.00
C)69.00
D)40.50
E)91.80
with the constraints . Round answer to the nearest hundredth.A)59.50
B)126.00
C)69.00
D)40.50
E)91.80
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 35 في هذه المجموعة.
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k this deck
35
Graph the following inequality .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 35 في هذه المجموعة.
فتح الحزمة
k this deck
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 35 في هذه المجموعة.
