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MA.8.AR.3.1 · Linear Relationships, Data Analysis, and Functions

Telling Proportional Relationships from Other Linear Ones: Sample FAST Questions

Every proportional relationship is linear, but not every linear relationship is proportional. 8th graders check whether a table, graph, or equation passes through the origin, which is the one thing that makes a linear relationship proportional.

How the FAST tests this benchmark

FAST items are mostly multiple choice and matching questions sorting relationships into proportional or not proportional. The fastest check is the y-intercept: a value of 0 means proportional, and anything else means linear but not proportional.

Skills students need

  • Determine whether a linear relationship is proportional
  • Check whether a graph passes through the origin
  • Use the y-intercept of an equation to decide
  • Connect the constant of proportionality to slope

Try 6 real MA.8.AR.3.1 questions

These come straight from Algebro's 8th grade pre-algebra question bank, easiest first. Answer one, check it, then move to the next.

Question 1 of 6

Answer it and Algebro checks it instantly

Question 1EasyMultiple Choice
Figure: a ratio table with columns x and y, and rows 1 and 7; 2 and 14; 3 and 21.
The table shows a linear relationship between xx and yy. Is the relationship proportional? Choose the statement with the correct answer AND the correct reasoning.

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More 8th grade linear relationships and functions benchmarks

MA.8.AR.3.2

Finding Slope from Graphs, Tables, and Descriptions

MA.8.AR.3.3

Writing Equations in Slope-Intercept Form

MA.8.AR.3.4

Graphing Two-Variable Linear Equations

MA.8.AR.3.1: Proportional or Linear Practice | Algebro