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A-CED.1 Warmup M2-002-A03-V04

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

Write and solve an absolute-value equation from a distance-from-a-target statement

Problem

A speed is \(6~\text{miles}~\text{per}~\text{hour}\) from \(45~\text{miles}~\text{per}~\text{hour}\). Let \(v\) represent the speed in miles per hour. Use the displayed number line to write an absolute-value equation and solve for \(\text{both}~\text{possible}~\text{speeds}\).

A one-mile-per-hour number line centered at target speed 45. Two purple question-mark markers sit exactly six tick intervals below and above 45.
Two unknown speeds are each 6 miles per hour from target 45.
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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
Write and solve an absolute-value equation from a distance-from-a-target statement