Multi-Step Equations

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What is a multi-step equation?

Back

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?

Back

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?

Back

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

Front

What is the first step in solving the equation 3x + 2(4x - 4) = 3?

Back

The first step is to apply the distributive property: 3x + 8x - 8 = 3.

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What is the solution to the equation 2(x + 3) = 8?

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The solution is x = 1.

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How do you isolate a variable in an equation?

Back

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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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 that make the equation true.

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Back

The solution is x = -25.

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What is the purpose of checking your solution in an equation?

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Checking your solution ensures that the value you found satisfies the original equation.

Front

What is the solution to the equation -19 = -8(-4 + a) - (2a + 1)?

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The solution is a = 5.