California Assessment of Student Performance and Progress (CAASPP) Math Practice Exam

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What characterizes a unit rate?

  1. The ratio multiplied by ten

  2. The total quantity compared to zero

  3. The ratio of a quantity to a single unit of measurement

  4. A comparison of two similar quantities

The correct answer is: The ratio of a quantity to a single unit of measurement

A unit rate is characterized by the ratio of a quantity to a single unit of measurement. This definition highlights the concept of expressing a quantity in relation to one specific unit, making it easier to understand how much of one thing exists per unit of another. For example, if you measure speed in miles per hour, the unit rate indicates how many miles are traveled in one hour, which provides a clear understanding of speed. This concept is crucial when analyzing various rates in real-life applications, such as pricing, speed, and density, as it allows for straightforward comparisons. It avoids ambiguity by standardizing the unit, making it clear how one quantity relates to one unit of measurement, rather than to multiple units or other quantities that lack a standardized measure. This clarity is essential in mathematics and applied contexts for decision-making and assessment.