Problem preview
A-CED.2 Warmup M1-002-A09-V01

Create equations in two or more variables, graph them, and label axes/scales appropriately.

Define variables and write a formula with units

Problem

Write the density formula using \(D\) for density, \(m\) for mass, and \(V\) for volume. State the units of each quantity when mass is measured in \(\text{grams}\) and volume in \(\text{cubic}~\text{centimeters}\).

Big Picture

What this problem is really about

This task is really about building a formula whose units make sense. We’ll define density, mass, and volume with their units, use the word per to decide that the relationship is a quotient, and place the quantities so the units reduce to grams per cubic centimeter. A dimensional check will confirm both the operation and the variable roles.

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Four variants of this problem type
Curriculum context
Course
Math I
Standard
A-CED.2
Category
Algebra
Domain
Creating Equations
Objective
Create equations in two or more variables, graph them, and label axes/scales appropriately.
Problem type
Define variables and write a formula with units