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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
The line shown is graphed on the coordinate plane. Is this relationship proportional? Choose the statement with the correct answer AND the correct reasoning.
Figure: a coordinate plane from x = -1 to 9 and y = -1 to 9, showing the point (1, 5) and a line through (0, 0) and (1, 5).

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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