System of Equations Word Problems

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What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the set of values that satisfy all equations in the system.

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How do you represent a word problem as a system of equations?

Back

Identify the variables, translate the relationships and conditions into equations, and ensure the equations reflect the problem's constraints.

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What does 'S' represent in the context of ticket sales?

Back

In the context of ticket sales, 'S' typically represents the number of student tickets sold.

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What does 'A' represent in the context of ticket sales?

Back

In the context of ticket sales, 'A' typically represents the number of adult tickets sold.

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How do you set up an equation for total receipts from ticket sales?

Back

Multiply the number of each type of ticket sold by its price and sum them up to equal the total receipts.

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What is the first step in solving a system of equations?

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The first step is to express one variable in terms of the other using one of the equations.

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What does 'v' represent in the context of transportation problems?

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In transportation problems, 'v' typically represents the number of students per van.

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What does 'b' represent in the context of transportation problems?

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In transportation problems, 'b' typically represents the number of students per bus.

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How do you find the number of animals in a barn using a system of equations?

Back

Set up equations based on the total number of animals and the total number of legs, then solve the system.

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What is the significance of the coefficients in a system of equations?

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Coefficients represent the relationship between the variables; they indicate how many units of each variable are involved in each equation.