Writing and Solving One-Variable Equations from Word Problems

Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 1

Question

Question:
Set up and solve an equation for each scenario. Part a: A phone plan charges a 25-dollar flat fee plus 10 cents per text message. If the bill is 47 dollars, how many texts were sent? Part b: Two hikers start at opposite ends of a 24-mile trail and walk toward each other at 3 miles per hour and 5 miles per hour respectively. How many hours until they meet? Part c: A rectangular garden has a perimeter of 64 feet. The length is 4 feet more than twice the width. Find the dimensions.

Writing and Solving One-Variable Equations from Word Problems

This lesson demonstrates how to translate three classic real-world scenarios — a phone bill, a meeting-distance problem, and a rectangle perimeter problem — into one-variable equations. Students practice identifying unknowns, building equations from verbal descriptions, and solving using inverse operations.

In this lesson, you will learn t

Step-by-step video solution

This DoAssignment.ca lesson explains the problem with a narrated, step-by-step solution for students studying Algebra from Algebra 1 · Big Ideas Math · Ron Larson.

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