Literal Equations and Inequalities Flashcard

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What is a literal equation?

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A literal equation is an equation that contains two or more variables. It is often solved for one variable in terms of the others.

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How do you isolate a variable in an equation?

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To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

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What is the Subtraction Property of Equality?

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The Subtraction Property of Equality states that if you subtract the same number from both sides of an equation, the two sides remain equal.

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What is the Addition Property of Equality?

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The Addition Property of Equality states that if you add the same number to both sides of an equation, the two sides remain equal.

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How do you solve an inequality?

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To solve an inequality, isolate the variable on one side using inverse operations, similar to solving an equation, while remembering to reverse the inequality sign when multiplying or dividing by a negative number.

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What is the Distributive Property?

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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.

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What is the purpose of combining like terms?

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Combining like terms simplifies an expression by merging terms that have the same variable raised to the same power.