NCERT Exemplar Class 8 Maths Chapter 4: Linear Equations in One Variable
The fourth chapter of NCERT Exemplar Solutions for Class 8 Maths introduces students to Linear Equations in One Variable, a foundational topic in algebra. The chapter begins with the definition of linear equations and explains how they can be expressed in the form ax + b = c, where a, b, c are real numbers. Students learn how to solve these equations step by step using the principle of balance, where equal operations are applied to both sides. The subtopics include solving equations with simple expressions, equations involving rational numbers, and equations where variables appear on both sides. NCERT solutions for Class 8 Maths provide ample solved examples and exercises that strengthen conceptual clarity. Students also practice reducing equations into standard form before solving. Word problems form a significant part of this chapter. Learners are introduced to real-life applications such as age problems, number problems, and questions related to geometry and daily life. These problems test logical reasoning and application skills.
The NCERT Exemplar Solutions for Class 8 Maths go a step further by presenting higher-order thinking questions that challenge students to apply multiple steps in solving equations. This not only strengthens their mathematical foundation but also prepares them for advanced topics like simultaneous equations and inequalities in higher classes. Additionally, practicing these problems builds problem-solving discipline. Alongside, NCERT solutions for Class 8 Science encourage analytical approaches, complementing the logical skills developed in mathematics. By the end of this chapter, students gain confidence in forming and solving equations, interpreting real-life problems algebraically, and applying the knowledge to more complex situations. Mastery of this topic ensures a smooth transition into higher-level algebra.