Exam 4: Systems of Linear Equations

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The difference of two numbers is The difference of two numbers is   Their sum is   Find the two numbers. Their sum is The difference of two numbers is   Their sum is   Find the two numbers. Find the two numbers.

(Multiple Choice)
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Solve the system by solving one of the equations for x or y and then use the substitution method. Solve the system by solving one of the equations for x or y and then use the substitution method.   If the system is dependent or inconsistent , or if there is no solution , indicate this. If the system is dependent or inconsistent , or if there is no solution , indicate this.

(Essay)
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Solve the system by eliminating the Solve the system by eliminating the   variable.  variable. Solve the system by eliminating the   variable.

(Multiple Choice)
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Solve the system of linear equations by the elimination method. Solve the system of linear equations by the elimination method.

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Solve the system of linear equations by elimination. Solve the system of linear equations by elimination.

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Two positive numbers have a difference of Two positive numbers have a difference of   The larger number is one more than twice the smaller. Find the two numbers. The larger number is one more than twice the smaller. Find the two numbers.

(Multiple Choice)
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Solve the system using the substitution method. Solve the system using the substitution method.   If the lines coincide, answer dependent . If the lines are parallel, answer no solution . If the lines coincide, answer dependent . If the lines are parallel, answer no solution .

(Multiple Choice)
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Daniel is trying to decide whether to buy a car or a truck. The truck he is considering will cost him Daniel is trying to decide whether to buy a car or a truck. The truck he is considering will cost him   a month in loan payments, and it gets   miles per gallon in gas mileage. The car will cost   a month in loan payments, but it gets   miles per gallon in gas mileage. Daniel estimates that he will pay   per gallon for gas. This means that the monthly cost to drive the truck   miles will be   The total monthly cost to drive the car   miles will be   . The following figure shows the graph of each equation.   At how many miles do the car and the truck cost the same to operate? __________ miles a month in loan payments, and it gets Daniel is trying to decide whether to buy a car or a truck. The truck he is considering will cost him   a month in loan payments, and it gets   miles per gallon in gas mileage. The car will cost   a month in loan payments, but it gets   miles per gallon in gas mileage. Daniel estimates that he will pay   per gallon for gas. This means that the monthly cost to drive the truck   miles will be   The total monthly cost to drive the car   miles will be   . The following figure shows the graph of each equation.   At how many miles do the car and the truck cost the same to operate? __________ miles miles per gallon in gas mileage. The car will cost Daniel is trying to decide whether to buy a car or a truck. The truck he is considering will cost him   a month in loan payments, and it gets   miles per gallon in gas mileage. The car will cost   a month in loan payments, but it gets   miles per gallon in gas mileage. Daniel estimates that he will pay   per gallon for gas. This means that the monthly cost to drive the truck   miles will be   The total monthly cost to drive the car   miles will be   . The following figure shows the graph of each equation.   At how many miles do the car and the truck cost the same to operate? __________ miles a month in loan payments, but it gets Daniel is trying to decide whether to buy a car or a truck. The truck he is considering will cost him   a month in loan payments, and it gets   miles per gallon in gas mileage. The car will cost   a month in loan payments, but it gets   miles per gallon in gas mileage. Daniel estimates that he will pay   per gallon for gas. This means that the monthly cost to drive the truck   miles will be   The total monthly cost to drive the car   miles will be   . The following figure shows the graph of each equation.   At how many miles do the car and the truck cost the same to operate? __________ miles miles per gallon in gas mileage. Daniel estimates that he will pay Daniel is trying to decide whether to buy a car or a truck. The truck he is considering will cost him   a month in loan payments, and it gets   miles per gallon in gas mileage. The car will cost   a month in loan payments, but it gets   miles per gallon in gas mileage. Daniel estimates that he will pay   per gallon for gas. This means that the monthly cost to drive the truck   miles will be   The total monthly cost to drive the car   miles will be   . The following figure shows the graph of each equation.   At how many miles do the car and the truck cost the same to operate? __________ miles per gallon for gas. This means that the monthly cost to drive the truck Daniel is trying to decide whether to buy a car or a truck. The truck he is considering will cost him   a month in loan payments, and it gets   miles per gallon in gas mileage. The car will cost   a month in loan payments, but it gets   miles per gallon in gas mileage. Daniel estimates that he will pay   per gallon for gas. This means that the monthly cost to drive the truck   miles will be   The total monthly cost to drive the car   miles will be   . The following figure shows the graph of each equation.   At how many miles do the car and the truck cost the same to operate? __________ miles miles will be Daniel is trying to decide whether to buy a car or a truck. The truck he is considering will cost him   a month in loan payments, and it gets   miles per gallon in gas mileage. The car will cost   a month in loan payments, but it gets   miles per gallon in gas mileage. Daniel estimates that he will pay   per gallon for gas. This means that the monthly cost to drive the truck   miles will be   The total monthly cost to drive the car   miles will be   . The following figure shows the graph of each equation.   At how many miles do the car and the truck cost the same to operate? __________ miles The total monthly cost to drive the car Daniel is trying to decide whether to buy a car or a truck. The truck he is considering will cost him   a month in loan payments, and it gets   miles per gallon in gas mileage. The car will cost   a month in loan payments, but it gets   miles per gallon in gas mileage. Daniel estimates that he will pay   per gallon for gas. This means that the monthly cost to drive the truck   miles will be   The total monthly cost to drive the car   miles will be   . The following figure shows the graph of each equation.   At how many miles do the car and the truck cost the same to operate? __________ miles miles will be Daniel is trying to decide whether to buy a car or a truck. The truck he is considering will cost him   a month in loan payments, and it gets   miles per gallon in gas mileage. The car will cost   a month in loan payments, but it gets   miles per gallon in gas mileage. Daniel estimates that he will pay   per gallon for gas. This means that the monthly cost to drive the truck   miles will be   The total monthly cost to drive the car   miles will be   . The following figure shows the graph of each equation.   At how many miles do the car and the truck cost the same to operate? __________ miles . The following figure shows the graph of each equation. Daniel is trying to decide whether to buy a car or a truck. The truck he is considering will cost him   a month in loan payments, and it gets   miles per gallon in gas mileage. The car will cost   a month in loan payments, but it gets   miles per gallon in gas mileage. Daniel estimates that he will pay   per gallon for gas. This means that the monthly cost to drive the truck   miles will be   The total monthly cost to drive the car   miles will be   . The following figure shows the graph of each equation.   At how many miles do the car and the truck cost the same to operate? __________ miles At how many miles do the car and the truck cost the same to operate? __________ miles

(Short Answer)
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Solve the system by substitution. Substitute the expression in the second equation into the first equation and solve. Solve the system by substitution. Substitute the expression in the second equation into the first equation and solve.   If the system is dependent or inconsistent , or if there is no solution , indicate this. If the system is dependent or inconsistent , or if there is no solution , indicate this.

(Essay)
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Solve the system of linear equations by elimination. Solve the system of linear equations by elimination.

(Multiple Choice)
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The difference of two positive numbers is The difference of two positive numbers is   The larger is twice the smaller decreased by   Find the two numbers. The larger is twice the smaller decreased by The difference of two positive numbers is   The larger is twice the smaller decreased by   Find the two numbers. Find the two numbers.

(Essay)
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Solve the system of linear equations by graphing. Solve the system of linear equations by graphing.

(Multiple Choice)
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Solve the system by eliminating the Solve the system by eliminating the   variable.  variable. Solve the system by eliminating the   variable.

(Multiple Choice)
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Solve the system of linear equations by the elimination method. Solve the system of linear equations by the elimination method.   If the system is dependent or inconsistent , indicate this. If the system is dependent or inconsistent , indicate this.

(Essay)
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The Bishop's Peak 4H club is having its annual fundraising dinner. Adults pay $30 apiece and children pay $15 apiece. If the number of adult tickets sold is twice the number of children's tickets sold, and the total income for the dinner is $3,750, how many of each kind of ticket did the 4H club sell?

(Multiple Choice)
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Solve the system of linear equations by graphing. Solve the system of linear equations by graphing.

(Multiple Choice)
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Ms. Hagan invested twice as much money in an account that pays Ms. Hagan invested twice as much money in an account that pays   interest as she did in an account that pays   in interest. Her total investment pays her   a year in interest. How much did she invest at each rate? interest as she did in an account that pays Ms. Hagan invested twice as much money in an account that pays   interest as she did in an account that pays   in interest. Her total investment pays her   a year in interest. How much did she invest at each rate? in interest. Her total investment pays her Ms. Hagan invested twice as much money in an account that pays   interest as she did in an account that pays   in interest. Her total investment pays her   a year in interest. How much did she invest at each rate? a year in interest. How much did she invest at each rate?

(Multiple Choice)
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Solve the system using the substitution method. Solve the system using the substitution method.   If the lines coincide, answer dependent . If the lines are parallel, answer no solution . If the lines coincide, answer dependent . If the lines are parallel, answer no solution .

(Multiple Choice)
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Solve the system of linear equations by the elimination method. Solve the system of linear equations by the elimination method.

(Multiple Choice)
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Maria has Maria has   in dimes and nickels. She has a total of   coins. How many of each kind does she have? __________ nickels __________ dimes in dimes and nickels. She has a total of Maria has   in dimes and nickels. She has a total of   coins. How many of each kind does she have? __________ nickels __________ dimes coins. How many of each kind does she have? __________ nickels __________ dimes

(Essay)
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