Multistep Equations - Variables on Both Sides

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What is a multistep equation?

Back

A multistep equation is an equation that requires more than one step to solve for the variable. It often involves combining like terms, using the distributive property, and isolating the variable.

Front

What does it mean to have variables on both sides of an equation?

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Having variables on both sides of an equation means that the variable appears in more than one location in the equation, requiring manipulation to isolate the variable.

Front

What is the first step in solving a multistep equation?

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The first step is often to simplify both sides of the equation by combining like terms and using the distributive property.

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How do you isolate a variable in a multistep equation?

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To isolate a variable, you perform inverse operations to move all terms containing the variable to one side of the equation and constant terms to the other side.

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What does it mean if an equation has infinite solutions?

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An equation has infinite solutions if, after simplification, both sides of the equation are identical, meaning any value for the variable will satisfy the equation.

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What does it mean if an equation has no solution?

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An equation has no solution if, after simplification, the equation results in a false statement, such as 0 = 5, indicating that there is no value for the variable that can satisfy the equation.

Front

Solve the equation: 2(x + 2) + 3x = 2(x + 1) + 1. What is x?

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Solve the equation: 5(x + 2) - 3x = 2(x + 5). What is the solution?

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Infinite Solutions.

Front

Solve the equation: 4(2x + 1) = 5x + 3x + 9. What is x?

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No Solution.

Front

Solve the equation: -2(x + 1) = 2(x - 1). What is x?

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