HA: 10. multi-step equations and word problem FLASHCARD

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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 the variable cancels out and results in a false statement.

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The first step is to simplify both sides of the equation by combining like terms.

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What is the purpose of using variables in equations?

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Variables represent unknown values in equations, allowing us to formulate relationships and solve for those unknowns.

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What is the distributive property?

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How do you check if your solution to an equation is correct?

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Substitute the value of the variable back into the original equation. If both sides of the equation are equal, the solution is correct.

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What is a word problem in mathematics?

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A word problem is a mathematical problem that is presented in the form of a narrative or real-life scenario, requiring interpretation and translation into a mathematical equation.

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What does it mean to isolate a variable?

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To isolate a variable means to manipulate the equation so that the variable is on one side of the equation by itself.