Skip to content

References: Solving Linear Equations

  1. Linear equation - Wikipedia - Comprehensive overview of linear equations, including the one-variable form \(ax + b = 0\) and its solution, providing the formal mathematical foundation for the equation-solving techniques taught in this chapter.

  2. Equation - Wikipedia - Explains what it means to solve an equation, the concept of a solution set, and the distinction between conditional equations and identities, directly supporting the chapter's discussion of solution types.

  3. Elementary algebra - Wikipedia - Covers the general algebraic strategy of adding, subtracting, multiplying, or dividing both sides of an equation to isolate a variable, the core technique behind one-step, two-step, and multi-step equations.

  4. Big Ideas Math: Algebra 1 - Ron Larson and Laurie Boswell - Big Ideas Learning - Chapters on solving linear equations present one-step, two-step, and multi-step equations alongside literal equations, with worked examples that mirror this chapter's progression.

  5. Algebra 1 - Carter, Cuevas, Day, Malloy, and Kennedy - Glencoe/McGraw-Hill Education - Provides detailed instruction on solving equations with variables on both sides, equations with fractions and decimals, and rearranging formulas for a specified variable.

  6. Solving One-Variable Linear Equations - Purplemath - Step-by-step lesson on isolating a variable using inverse operations in simple addition and subtraction equations, reinforcing the one-step equation strategies introduced early in this chapter.

  7. Solving Literal Equations - Purplemath - Worked examples solving formulas such as area, distance, and perimeter for a specified variable, directly matching the chapter's section on literal equations and formula manipulation.

  8. Solving Equations - Math is Fun - Explains the "golden rule" of performing the same operation on both sides of an equation, covering combining like terms, clearing fractions, and checking solutions across multiple equation types.

  9. Solve Equations with Variables and Constants on Both Sides - OpenStax Prealgebra 2e - Free textbook section with a general strategy and worked examples for collecting variable terms on one side and constants on the other, matching the chapter's variables-on-both-sides content.

  10. Linear Equations in One Variable - GeeksforGeeks - Outlines a structured method for solving linear equations, including equations with fractions and multi-step examples, complementing the chapter's coverage of equations with fractions and multi-step problems.