뒤로Identifying Linear Equations in One Variable
스터디 가이드 - 스마트 노트
자료에 맞춘 맞춤형 노트, 핵심 정의, 예시, 맥락을 확장해 제공합니다.
Q1. Which of the following is a linear equation in one variable?
Background
Topic: Linear Equations in One Variable
This question is testing your ability to recognize linear equations in one variable. A linear equation in one variable is an equation that can be written in the form , where , , and are constants and is the variable.
Key Terms and Formulas
Linear Equation: An equation of the form .
Variable: A symbol (often ) that represents an unknown value.
Constant: A fixed value (like 2, -5, 0.5, etc.).
One Variable: The equation contains only one variable (e.g., ).
Step-by-Step Guidance
Examine each option and identify whether it is an equation (contains an equals sign) or just an expression.
Check if the equation contains only one variable (for example, only or only ).
Determine if the variable is raised only to the first power (no exponents other than 1, no products of variables, and no variables in denominators).
See if the equation can be rewritten in the form .
Eliminate any options that are not equations, have more than one variable, or are not linear (e.g., quadratic or higher degree).
Try solving on your own before revealing the answer!
Final Answer:
The correct answer is Option (B).
Option (B) is a linear equation in one variable because it can be written in the form with only one variable and the variable is to the first power.
