EL #5 Write and Solve Equations with Rational Numbers

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Addition Property of Equality

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A property that states if you add the same amount to both sides of an equation, the two sides remain equal.

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Defining a Variable

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The process of choosing a variable to represent an unknown quantity in a mathematical expression or equation.

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Division Property of Equality

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A property that states if you divide both sides of an equation by the same nonzero number, the two sides remain equal.

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Equation

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A mathematical statement that asserts the equality of two expressions.

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Equivalent Equations

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Equations that have the same solution.

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Inverse Property of Multiplication

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A property that states for every nonzero number, there is a multiplicative inverse (or reciprocal) such that the product of the number and its inverse is 1.

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Multiplication Property of Equality

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A property that states if you multiply both sides of an equation by the same number, the two sides remain equal.

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Solution

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The value or values that make an equation true.

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Subtraction Property of Equality

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A property that states if you subtract the same amount from both sides of an equation, the two sides remain equal.

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Two-Step Equation

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An equation that requires two operations to solve.