pdf Functions: Input-Output Relationships

This worksheet gives students practice evaluating function rules by completing input-output tables. Students substitute given values for \(x\) into equations to determine the corresponding values of \(y\), reinforcing the concept that each input is paired with exactly one output according to a consistent rule.

The activity includes a variety of linear function rules involving integers and fractions. As students complete each table, they strengthen algebraic substitution skills while building fluency with integer operations, fractional reasoning, and recognizing patterns between inputs and outputs. The organized table format helps students connect equations to numerical relationships.

This resource works well for introducing function tables, guided practice, review, or formative assessment. It provides a strong foundation for later work with graphing functions, writing function rules, interpreting multiple representations, and analyzing linear relationships.

Skills Assessed

• Evaluating function rules
• Completing function tables
• Substituting values into equations
• Interpreting input-output relationships
• Recognizing linear patterns

Details

• 2 pages
• Answer key included
• 9 function table problems

ID# 0649