Equations and Inequalities End of the Year Review

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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 variables and constants, and is often solved to find the value of the variable.

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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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How do you isolate a variable in an equation?

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

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How do you represent a real-world situation with an equation?

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Identify the quantities involved, assign variables, and create an equation that relates these quantities based on the situation.

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What is the significance of the equal sign in an equation?

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The equal sign indicates that the expressions on both sides have the same value.

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How can you check if your solution to an equation is correct?

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Substitute the solution back into the original equation to see if both sides are equal.