Equations and Inequalities Flashcard

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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 one or more variables.

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What is an inequality?

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An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, greater than or equal to, or less than or equal to the other.

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When do we switch the inequality symbol?

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We switch the inequality symbol when multiplying or dividing both sides of the inequality by a negative number.

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What does it mean to isolate a variable?

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

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What is the solution set of an inequality?

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The solution set of an inequality is the set of all values that satisfy the inequality.

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What is a linear equation?

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A linear equation is an equation of the first degree, meaning it has no exponents greater than one and graphs as a straight line.