Grade 7 - Linear Relationships

Explanation and Free Practice Resources

Students identify independent and dependent variables and represent linear relationships with tables, graphs, and equations such as $y=kx$ and $y=mx+b$ . They recognize constant first differences and constant rates of change, determine rate of change from tables or graphs as $\Delta y/\Delta x$ , and distinguish linear relationships from nonlinear ones. Students plot ordered pairs, interpret points and scales in context, and distinguish proportional relationships that pass through the origin from nonproportional linear relationships with an initial value.

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Master skills like “Represent relationships using graphs”, “Represent relationships using tables”, and “Determine rate of change from a table” with unlimited, free practice problems
Download (or modify) free worksheets on Linear Relationships you can use at home or in class with practice problems across all skills in this group including “Interpret points on a graph in context”, “Represent relationships using equations”, “Plot ordered pairs from a table of values”.
Start working on adaptive units like “Slope - Intro” or “Line Equations and Graphing - Intro” that include these skills and will introduce and scaffold the skills carefully for maximum learning.

Linear Relationships: Individual Skills

Master 10 individual skills with free practice problems. Mouseover to see the skill's practice problems. Create a free account to track your progress.

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Linear Relationships10 skills

Practice 'Determine rate of change from a table'

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Download/Modify Free Grade 7 'Linear Relationships' Worksheet

Print this free 'Linear Relationships' worksheet to practice these skills away from the computer. Click 'Modify' to easily customize this worksheet to your exact needs.

Units Teaching These Skills

These adaptive units introduce, teach, or reinforce skills in this group (Linear Relationships) through scaffolded problems that grow in difficulty as concepts are understood.