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 is no value for the variable that makes the equation true. This often occurs when the variable cancels out and results in a false statement.

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How do you solve the equation 6 - (4x + 5) - 11 = 14 - 4x?

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Combine like terms to simplify both sides. This equation simplifies to a false statement, indicating that there is no solution.

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What is the first step in solving the equation 4(2x - 6) = 48?

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The first step is to distribute the 4 on the left side, resulting in 8x - 24 = 48.

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What is the solution to the equation 4(2x - 6) = 48?

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The solution is x = 9.

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What does it mean to isolate a variable in an equation?

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Isolating a variable means rearranging the equation so that the variable is on one side by itself, making it easier to solve for that variable.

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How do you solve the equation 2(x - 1) = -3(6x + 2)?

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Distribute both sides, combine like terms, and isolate x to find the solution x = -\frac{1}{5}.

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What is the purpose of using parentheses in equations?

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Parentheses indicate which operations should be performed first according to the order of operations, helping to clarify the structure of the equation.

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What is the equation that models Cheryl's earnings if she works h hours?

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The equation is 8h + 15 = 96, where 8h represents her hourly earnings and 15 represents her additional earnings for working late.

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