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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How do you determine the number of solutions for an equation?

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To determine the number of solutions for an equation, simplify the equation and check if it results in a true statement (infinitely many solutions), a false statement (no solution), or a specific value (one solution).

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Multiply both sides by 5 to eliminate the fraction.

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What does it mean if an equation has no solution?

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An equation has no solution if the simplified form leads to a contradiction, such as 0 = 5.

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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 each term inside a parenthesis.

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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, requiring the reader to extract relevant information and formulate an equation.