Solving Multi-Step Linear Equations

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What is a multi-step linear equation?

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A multi-step linear equation is an equation that requires more than one step to solve, often involving operations such as addition, subtraction, multiplication, and division.

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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.

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Subtract 11 from both sides.

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Mark worked 40 hours at $11.50/hour. How do you calculate his earnings?

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Multiply the hours worked by the hourly wage: 40 * 11.50 = $460.

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If Mark earned $502.25 in total, how do you find hours worked at the second job?

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Subtract earnings from the first job from total earnings, then divide by the hourly wage of the second job.

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What is the purpose of combining like terms in an equation?

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Combining like terms simplifies the equation, making it easier to solve.

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What does it mean to 'distribute' in an equation?

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Distributing means multiplying a term outside the parentheses by each term inside the parentheses.