Math 8 Unit 4: Two-Step Equations with Rational Numbers

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What is a two-step equation?

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A two-step equation is an algebraic equation that requires two operations to solve for the variable. It typically involves addition or subtraction followed by multiplication or division.

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How do you isolate a variable in a two-step equation?

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To isolate a variable, perform the inverse operations in reverse order: first, eliminate the constant term by adding or subtracting, then eliminate the coefficient by multiplying or dividing.

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Subtract 8 from both sides to isolate the term with the variable.

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What does it mean to have a negative solution in an equation?

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A negative solution indicates that the value of the variable is less than zero, which can represent various real-world scenarios depending on the context.

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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 satisfies the original equation, confirming that the solution is correct.

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What is the distributive property?

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The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a parenthesis.