One Variable Equations

  Solving One-Variable Equations by Collecting Terms Solving one-variable equations by collecting terms is a technique that helps simplify and solve equations efficiently. The process involves combining like terms, moving constants from one side of the equation to the other, and isolating the variable. By applying this method, you can solve equations that may appear complicated at first glance, turning them into simpler ones. What Are Like Terms? Before we dive into the method of collecting terms, it’s essential to understand what like terms are. Like terms are terms with the same variable raised to the same power. For example: 3x3x and 5x5x are like terms because they contain the variable x raised to the first power. 4y24y^2 and −7y2-7y^2 are like terms because they involve the variable y squared. On the other hand, 3x3x and 4y4y are not like terms because they involve different variables. Step-by-Step Process for Solving One-Variable Equations by Collecting Terms  Simpli...

 Solving One-Variable Equations Solving one-variable equations is a fundamental skill in algebra, enabling you to find the value of an unknown variable that satisfies the equation. A one-variable equation typically involves only one unknown (usually denoted by x ) and is expressed as a mathematical statement with an equal sign. The goal is to isolate the variable on one side of the equation to determine its value. Types of One-Variable Equations One-variable equations come in many forms, but they can usually be classified into three main categories: Linear Equations : These equations involve the variable raised to the first power (e.g., 2x+5=152x + 5 = 15). Quadratic Equations involve the variable raised to the second power (e.g., x2+3x−4=0x^2 + 3x - 4 = 0). Rational Equations : These equations involve fractions with the variable in the numerator or denominator (e.g., 1x+2=5\frac{1}{x} + 2 = 5). However, the most common type of equation you will encounter in introductory algebra ...