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A-CED.1 Warmup M2-002-A07-V02

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

Create and solve a quadratic inequality from context

Problem

An object is launched from ground level, with height \(h(t)=-t^{2}+6t\) meters for \(0\le~t\le~6\). Use the displayed \(8\text{-}\text{meter}\) target to write and solve the inequality for heights of at least \(8~\text{meters}\), then report every allowable time in the physical domain.

A scaled graph of h of t equals negative t squared plus six t from zero through six seconds. The eight-meter target and physical flight domain are shown, but the target intersection times and solution interval are not annotated.
The height model, eight-meter target, and physical flight domain are shown without labeled intersection times.
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Four variants of this problem type
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 quadratic inequality from context