Properties of Numbers - Justifying Equations

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What is the Division Property of Equality?

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If a = b, then a/c = b/c for any non-zero c. This property allows us to divide both sides of an equation by the same number.

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What is the Addition Property of Equality?

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If a = b, then a + c = b + c for any number c. This property allows us to add the same number to both sides of an equation.

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What is the Subtraction Property of Equality?

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If a = b, then a - c = b - c for any number c. This property allows us to subtract the same number from both sides of an equation.

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What is the Multiplication Property of Equality?

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If a = b, then a * c = b * c for any non-zero c. This property allows us to multiply both sides of an equation by the same number.

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What is the Distributive Property?

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a(b + c) = ab + ac. This property allows us to multiply a single term by two or more terms inside a set of parentheses.

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How do you combine like terms?

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Combine terms that have the same variable raised to the same power. For example, 3x + 5x = 8x.

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What is an equation?

Back

A mathematical statement that asserts the equality of two expressions, typically containing variables.

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What does it mean to justify steps in solving an equation?

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To provide a reason or property that explains why a particular step in the solution process is valid.

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What is the purpose of solving an equation?

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To find the value of the variable that makes the equation true.

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What is a variable in mathematics?

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A symbol, often a letter, that represents an unknown value in an equation or expression.