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MA.6.AR.1.2 · Algebraic Reasoning

Writing and Graphing Inequalities: Sample FAST Questions

Students translate real-world descriptions into simple algebraic inequalities of the form x > a, x < a, x ≥ a, or x ≤ a, and represent those inequalities on a number line. They learn when a situation calls for "at least" or "more than" and how that choice affects whether the circle on the number line is open or closed.

How the FAST tests this benchmark

The FAST uses multiple choice items matching a scenario to an inequality, graphic response items where students graph the inequality on a number line, and items matching a graph to its inequality.

Skills students need

  • Translate real-world descriptions into inequalities
  • Represent inequalities on a number line

Try 4 real MA.6.AR.1.2 questions

These come straight from Algebro's question bank. Pick an answer to check it instantly.

Question 1EasyMultiple Choice
A ride at an amusement park requires riders to be at least 13 years old. Which inequality represents this situation, where aa = age in years?
Question 2MediumGraphing
A city requires the wind chill to be −6-6 degrees or warmer for outdoor recess. Plot this inequality on the number line, where xx = wind chill in °F.
Question 3MediumGraphing
The temperature must be below −1-1 degrees Celsius for the pond to freeze. Plot this inequality on the number line, where xx = temperature in °C.
Question 4HardMultiple Choice
A fundraiser goal is at least $500. So far, $215 has been raised. Which inequality represents the amount dd still needed, and is d=300d = 300 a valid solution?

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More Algebraic Reasoning benchmarks

MA.6.AR.1.1

Translating Between Words and Algebraic Expressions

MA.6.AR.1.3

Evaluating Algebraic Expressions

MA.6.AR.1.4

Generating Equivalent Expressions

MA.6.AR.1.2 Practice Questions — Writing and Graphing Inequalities | 6th Grade FAST | Algebro