3F Systems of Equations - Word Problems 2 5Q

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What do the variables represent in a system of equations for a word problem?

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The variables represent the unknown quantities that we are trying to find, such as costs, ages, or amounts.

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What is a system of equations?

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A system of equations is a set of two or more equations with the same variables that can be solved together.

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How do you set up a system of equations from a word problem?

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Identify the unknowns, define variables for them, and translate the relationships described in the problem into equations.

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

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The first step is to write the equations based on the information given in the problem.

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What does it mean to solve a system of equations?

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To solve a system of equations means to find the values of the variables that make all equations true simultaneously.

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What is the substitution method in solving systems of equations?

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The substitution method involves solving one equation for one variable and then substituting that expression into the other equation.

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What is the elimination method in solving systems of equations?

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The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other.

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How can you check your solution for a system of equations?

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You can check your solution by substituting the values back into the original equations to see if they hold true.

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What is a word problem in mathematics?

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A word problem is a mathematical problem that is presented in the form of a narrative or real-life scenario.

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What is the importance of defining variables in word problems?

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Defining variables helps clarify what each unknown represents, making it easier to set up and solve equations.