Problem preview

A-CED.1 Warmup M2-002-A08-V04

Create and solve one-variable equations and inequalities, including absolute-value, linear, quadratic, simple rational, and exponential cases.

Create and solve a rational equation where a total is divided by the unknown

Problem

A student reads \(180~\text{pages}\) over \(d~\text{days}\) at an average rate of \(30~\text{pages}~\text{per}~\text{day}\). Write and solve the rational equation for \(d\), and report the context-valid solution.

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Equation: 180d=30; context-valid solution: d=1/6 day.

Equation: 180/d=30; context-valid solutions: d=0 or d=6 days.

Equation: d/180=30; context-valid solution: d=5400 days.

Equation: 180/d=30; context-valid solution: d=6 days.

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Curriculum context

Course: Math II
Standard: A-CED.1
Category: Algebra
Domain: Creating Equations
Objective: Create and solve one-variable equations and inequalities, including absolute-value, linear, quadratic, simple rational, and exponential cases.
Problem type: Create and solve a rational equation where a total is divided by the unknown