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 does it mean if an equation has no solution?

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An equation has no solution when there are no values for the variable that can satisfy the equation. This often occurs when simplifying leads to a false statement, such as 0 = 5.

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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 when any value for the variable satisfies the equation. This typically happens when both sides of the equation are equivalent after simplification.

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Solve the equation: 3x + 15 = 3(x + 5)

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Infinitely Many Solutions

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Which equation has no solution? 3(2x + 1) = 6x + 1

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3(2x + 1) = 6x + 1 has no solution.

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No Solution

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Solve the equation: 3(x - 1) = 2x + 9

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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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What are like terms?

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Like terms are terms that have the same variable raised to the same power. For example, 2x and 3x are like terms, while 2x and 3y are not.