4.5B Input Output Tables

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What is an input-output table?

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An input-output table is a mathematical representation that shows how a set of inputs relates to a set of outputs, often used to identify patterns or relationships in functions.

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How do you determine the output in an input-output table?

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To determine the output, you apply the function or rule defined for the table to the given input.

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What does the term 'sequence' refer to in mathematics?

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In mathematics, a sequence is an ordered list of numbers or elements, where each number is called a term.

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What is the significance of the position of a number in a sequence?

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The position of a number in a sequence indicates its order, which is crucial for identifying patterns and relationships.

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How can division be represented in an input-output table?

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Division can be represented by showing how many times one number fits into another, often resulting in a quotient that serves as the output.

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What is the first step in solving application-based questions involving input-output tables?

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The first step is to carefully read the problem to understand the relationship between inputs and outputs.

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What does the letter 'D' typically represent in a multiple-choice question?

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In a multiple-choice question, 'D' represents one of the possible answers, and students must determine if it is correct based on the question.

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What is a common strategy for identifying patterns in sequences?

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A common strategy is to look for differences between consecutive terms or to identify a rule that generates the sequence.

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What is the role of equations in input-output tables?

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Equations define the relationship between inputs and outputs, allowing for the calculation of outputs based on given inputs.

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How can you verify your answers when working with input-output tables?

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You can verify your answers by substituting the inputs back into the equation or rule to see if you obtain the correct outputs.