Solving Multi-Step Equations

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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 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 combine like terms?

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To combine like terms, add or subtract the coefficients of terms that have the same variable raised to the same power.

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What does it mean to isolate a variable?

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Isolating a variable means rearranging the equation so that the variable is on one side of the equation and all other terms are on the opposite side.

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p = 2

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Multiply both sides by 6 to eliminate the fraction.

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f = -1

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What is a budget equation?

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A budget equation represents the total amount of money available to spend, often including costs of multiple items, and is used to determine how many of each item can be purchased.

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Select the correct equation for the budget problem: You have $35 to spend on balloons and streamers. Each balloon costs $1.90 and each streamer costs $1.10. If you buy equal numbers of each, what is the equation?

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a = 3