M1. Pre Mod 4 Solving Multi-Step Equations & Inequalities

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What is a multi-step equation?

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A multi-step equation is an equation that requires more than one step to solve. It often involves combining like terms, using the distributive property, and isolating the variable.

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What does it mean to solve an inequality?

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Solving an inequality involves finding the values of the variable that make the inequality true. The solution is often expressed in interval notation.

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What is the distributive property?

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The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

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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 get the variable alone on one side of the equation. This may involve adding, subtracting, multiplying, or dividing both sides.

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What does it mean if an equation has infinitely many solutions?

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An equation has infinitely many solutions if any value of the variable satisfies the equation, often resulting from equivalent expressions on both sides.

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How do you express the solution of an inequality in interval notation?

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In interval notation, you express the solution as a range of values, using parentheses for open intervals and brackets for closed intervals.

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