Inequalities and Equations Study Guide

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What is an inequality?

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

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What does it mean to solve an equation?

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To solve an equation means to find the value(s) of the variable(s) that make the equation true.

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What is the general form of a linear equation?

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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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Front

What is the purpose of using inequalities?

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Inequalities are used to express a range of possible values rather than a single value, often in real-world situations.

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What does the symbol '>' mean in an inequality?

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The symbol '>' means 'greater than'.

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What does the symbol '<=' mean in an inequality?

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The symbol '<=' means 'less than or equal to'.

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How can you represent a real-world situation with an inequality?

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You can represent a real-world situation with an inequality by identifying the minimum or maximum requirements and translating them into mathematical terms.

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What is the equation to find the price of each song if you have a $15 off coupon and spent $8.88 for 12 songs?

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