TBOC #14 Equations with Variable on Both Sides

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What is an equation with variables on both sides?

Back

An equation that contains variables on both the left and right sides, requiring manipulation to isolate the variable.

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How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to get the variable on one side of the equation and constants on the other.

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Back

Isolate the variable on one side.

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Back

x = 2.

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What does it mean to 'combine like terms' in an equation?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

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Back

r = 0.

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x = 4.

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What is the purpose of checking your solution in an equation?

Back

To verify that the solution satisfies the original equation.

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x = -7.

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What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a set of parentheses.