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MA.7.AR.3.2 · Proportional Reasoning and Relationships

Solving Real-World Problems with Proportions: Sample FAST Questions

Students apply their understanding of ratios to set up and solve proportions in real-world situations, such as how long it takes to mow 35 lawns at a rate of 4 lawns in 3 hours and 45 minutes. The graded skill is writing the proportion with matching units in matching positions, then solving it.

How the FAST tests this benchmark

FAST items are word problems answered in the equation editor, plus multiple choice items asking which proportion correctly models the situation. The trap is inverting one of the two ratios so the units no longer line up across the equals sign.

Skills students need

  • Set up a proportion from a real-world situation
  • Solve a proportion using cross products or scaling
  • Check that units are aligned on both sides of a proportion
  • Convert time and rate values before comparing them

Try 6 real MA.7.AR.3.2 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

Answer it and Algebro checks it instantly

Question 1EasyMultiple Select
A car travels 150 miles in 3 hours at a constant rate. Let xx be the number of miles in 7 hours. Select ALL proportions that correctly model this scenario.

Select every answer that applies, then check.

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More 7th grade proportional reasoning benchmarks

MA.7.AR.3.3

Converting Units Across Measurement Systems

MA.7.AR.4.1

Deciding Whether a Relationship Is Proportional

MA.7.AR.4.2

Finding the Constant of Proportionality

MA.7.AR.3.2: Solving Proportions Practice | Algebro