A-SSE.1.b

Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1+r)^n as the product of P and a factor not depending on P.

Example Problems
Clara is measuring two cubes.
Given the surface area A of the first cube, Clara uses the formula

to compute its edge length s to be
2 meters.
The second cube has
9 times the surface area of the first. What is its edge length?
Mei is measuring two spheres.
Given the volume V of the first sphere, Mei uses the formula

to compute its radius r to be
6 inches.
The second sphere has
8 times the volume of the first. What is its radius?
Lionel is studying two simple pendulums on Earth.
Using the formula

he computes the length L of the first pendulum to be
1 meter from its period T.
The second pendulum has
twice the period of the first one. What is its length?
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