Linear Equations in Real Life

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Objective

I can write linear equations to represent relationships between quantities in real-world problems.

Part 1 of 4

Warm-up video

Miacademy & MiaPrep Learning Channel · 5:50Vetted channel

We don't generate video — this one is by Miacademy & MiaPrep Learning Channel on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.

Part 2 of 4

Key concepts

3 concepts

  1. 1

    A recurring increase in a word problem often indicates the slope of a linear equation.

  2. 2

    When a word problem involves two amounts of different things adding to a total, the equation is often in standard form.

  3. 3

    When solving word problems, make sure your answer makes sense in the real world context.

Part 3 of 4

Practice

10 questions

1

A local coffee shop is running a promotion. They charge $2 for a small coffee and $3 for a large coffee. On Tuesday, they need to make $600 to cover costs. Write a linear equation in standard form to represent the number of small (x) and large (y) coffees they need to sell to meet their goal.

2

A taxi service charges a flat fee of $3 plus $0.50 per mile. Write a linear equation in slope-intercept form that represents the total cost (y) of a taxi ride for x miles.

Part 4 of 4

Exit ticket

Quick comprehension check

A taxi charges an initial fee of $3.00 plus $0.75 per mile. Write a linear equation to represent the total cost (y) of a taxi ride for x miles.

Sample answer included in the free materials

Get the materials

Teacher guide, student handout, and slides — free, in Google Docs format

  • Teacher Guide

    Complete lesson plan with answer keys and alternate activities

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