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numeric Patterns & Function Machine Worksheets

These numeric patterns and function machine worksheets help students master mathematical relationships through hands-on practice. Students work with addition, subtraction, multiplication, and division to identify rules, create equations, and analyze functions using tables, graphs, and input-output machines.

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Identifying Functions

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About these worksheets

Students learn to identify whether a relationship is a function using equations, graphs, and tables. Activities include applying the vertical line test to graphs, checking if each input has exactly one output in tables, finding points that belong to a given function, and matching function equations to tables. Aligned with eighth grade standards.

numeric Patterns & Function Machine Worksheets - Identify Functions (Equations) worksheet

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Identify Functions (Equations)

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Decide whether an equation is a function by checking if each input has exactly one output.
Tell the difference between a function and a non-function when equations have x and y variables.

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numeric Patterns & Function Machine Worksheets - Identify Functions (Graphs) worksheet

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Identify Functions (Graphs)

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Decide whether a graph represents a function by checking if each x-value matches only one y-value.
Use the vertical line test to spot graphs that are not functions.
Identify repeated x-values on a graph and explain why that breaks the function rule.

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numeric Patterns & Function Machine Worksheets - Identifying Functions (Tables) worksheet

Load up one problem at a time! Ideal for projectors, tablets and computers.

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Distance Learning

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Create New Sheet

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Identifying Functions (Tables)

8f1

Decide whether an input-output table is a function by checking if each input has exactly one output.
Spot when a table is not a function because the same input is paired with different outputs.

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numeric Patterns & Function Machine Worksheets - Identifying Points of a Function in a Table worksheet

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Identifying Points of a Function in a Table

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Decide whether a given point could belong to the same function shown in the table.

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numeric Patterns & Function Machine Worksheets - Identifying Tables from a Function worksheet

Load up one problem at a time! Ideal for projectors, tablets and computers.

Create a set of flash cards.

Create a distance learning assignment.

Distance Learning

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Create New Sheet

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Identifying Tables from a Function

8f1

Practice matching a function equation to the correct table of x and y values
Plug x values into a given equation to check if the y values in each table are correct
Work with different types of functions including addition, multiplication, and combinations of both

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