Modeling Equations

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What is an equation?

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An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables and constants.

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What does it mean to solve an equation?

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To solve an equation means to find the value(s) of the variable(s) that make the equation true.

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What is a variable in mathematics?

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A variable is a symbol, often represented by letters, that stands for an unknown value in an equation.

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What is the key to balancing an equation?

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The key to balancing an equation is to perform the same operation on both sides of the equation to maintain equality.

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What does the term 'isolate the variable' mean?

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Isolating the variable means rearranging the equation so that the variable is on one side and all other terms are on the other side.

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What does it mean when an equation has no solution?

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An equation has no solution when there are no values for the variable that can satisfy the equation.

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What is a coefficient in an equation?

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A coefficient is a numerical factor that multiplies a variable in an equation.

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What is the purpose of using a key in modeling equations?

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A key helps to define the variables and constants used in the equation, making it easier to understand and solve.