Input/Output Tables

Front

What is an input/output table?

Back

An input/output table is a mathematical tool used to show the relationship between input values (independent variable) and output values (dependent variable) based on a specific rule or function.

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CCSS.HSF.IF.A.1

CCSS.8.F.A.1

Front

What does it mean to find the rule in an input/output table?

Back

Finding the rule in an input/output table involves determining the mathematical operation or function that relates the input values to the output values.

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

How do you identify a pattern in an input/output table?

Back

To identify a pattern, look for consistent changes between input and output values, such as addition, subtraction, multiplication, or division.

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CCSS.5.OA.B.3

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What is the significance of a constant difference in an input/output table?

Back

A constant difference indicates a linear relationship, where the output changes by the same amount for each change in the input.

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CCSS.HSF-LE.A.1B

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What does a positive rule indicate in an input/output table?

Back

A positive rule indicates that as the input increases, the output also increases.

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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What does a negative rule indicate in an input/output table?

Back

A negative rule indicates that as the input increases, the output decreases.

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

How can you express the rule of an input/output table algebraically?

Back

The rule can be expressed in the form of an equation, such as y = mx + b, where m is the slope and b is the y-intercept.

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CCSS.HSF.LE.A.2

CCSS.8.F.B.4

Front

What is the first step in solving an input/output table problem?

Back

The first step is to analyze the given input and output values to identify any patterns or rules.

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is the role of the independent variable in an input/output table?

Back

The independent variable is the input value that you can control or change, which affects the output value.

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CCSS.HSF.IF.A.1

CCSS.8.F.A.1

Front

What is the role of the dependent variable in an input/output table?

Back

The dependent variable is the output value that depends on the input value.

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CCSS.HSF.IF.A.1

CCSS.8.F.A.1