Unit 1 — Solving Linear Equations

Unit 1 · Solving Linear Equations

Solving Linear Equations

Solve one-step, two-step, multi-step, and literal equations using inverse operations with integers, fractions, decimals, and real-world applications.

Estimated Time

30–40 minutes

Difficulty

Easy

8 Lessons
7 Learning Goals
10 Vocabulary Terms

Overview

Unit description, learning objectives, and skills.

Unit 1 — Solving Linear Equations is the core of Algebra 1. You will learn to isolate a variable using inverse operations — working through one-step, two-step, multi-step, and literal equations with integers, fractions, and decimals. Every future unit builds on this skill.

Learning Objectives

By the end of this unit, you will be able to:

Goal 1Solve one-step equations using addition, subtraction, multiplication, and division.
Goal 2Solve two-step and multi-step equations using inverse operations in the correct order.
Goal 3Solve equations with variables on both sides by collecting like terms.
Goal 4Solve equations containing fractions and decimals.
Goal 5Rearrange literal equations and formulas to solve for a specified variable.
Goal 6Translate real-world word problems into equations and solve them.
Goal 7Check solutions by substituting back into the original equation.

Skills You Will Master

One- & two-step equations
Multi-step equations
Fractions & decimals
Word problems
Literal equations
Checking solutions

Real-World Connection

Linear equations are the language of everyday problem solving. When a plumber charges a flat fee plus an hourly rate, you solve a linear equation to find the total cost. When a scientist calculates the temperature at which a reaction occurs, or a coach figures out how many points a team needs to win, they are using linear equations. Mastering this unit gives you a universal problem-solving framework you will use in every math course — and in life.

Chapter Checklist

Recommended steps for completing each chapter

  • Read the Workbook
  • Complete the Independent Study
  • Finish the Exit Ticket
  • Take the Quiz
  • Review the Answer Key
  • Continue to the Next Chapter