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MA.7.AR.4.1 · Proportional Reasoning and Relationships

Deciding Whether a Relationship Is Proportional: Sample FAST Questions

Students decide whether two quantities have a proportional relationship by examining a table, a graph, or a written description. Each representation has its own test: a constant ratio between paired values in a table, a straight line through the origin on a graph, and per-unit language in a description.

How the FAST tests this benchmark

FAST items include multiple choice and multiselect questions about which tables or graphs show a proportional relationship, plus graphic response items on a coordinate plane. The classic distractor is a straight line that misses the origin, which is linear but not proportional.

Skills students need

  • Test a table for a constant ratio between paired values
  • Test a graph for a straight line through the origin
  • Recognize proportional language in a written description

Try 6 real MA.7.AR.4.1 questions

These come straight from Algebro's 7th grade question bank, easiest first. Answer one, check it, then move to the next.

Question 1 of 6

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Question 1EasyMultiple Choice
A straight line passes through (0,0),(1,1),(2,2),(3,3)(0, 0), (1, 1), (2, 2), (3, 3). Is the graph 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 points (0, 0), (1, 1), (2, 2), (3, 3) and a line through (0, 0) and (1, 1).

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More 7th grade proportional reasoning benchmarks

MA.7.AR.4.2

Finding the Constant of Proportionality

MA.7.AR.4.3

Graphing Proportional Relationships

MA.7.AR.4.4

Translating Between Tables, Equations, and Descriptions

MA.7.AR.4.1: Proportional Relationships Practice | Algebro