ICSE Class 8 Maths Selina Solutions Chapter 14 Linear Equations in One Variable

ICSE Class 8 Maths Selina Solutions Chapter 14: ICSE Class 8 Maths Selina Solutions for Chapter 14, "Linear Equations in One Variable," provide detailed explanations and solutions to problems involving linear equations.

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ICSE Class 8 Maths Selina Solutions Chapter 14 Overview

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ICSE Class 8 Maths Selina Solutions Chapter 14 PDF

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ICSE Class 8 Maths Selina Solutions Chapter 14 Linear Equations in One Variable PDF

Linear Equations in One Variable

Understanding Linear Equations in One Variable

• Form : The general form is $ax+b=0$ .
• Goal : Solve for $x$ by isolating it on one side of the equation.

Steps to Solve Linear Equations

1. Simplify Both Sides : Combine like terms on both sides of the equation if necessary.
2. Isolate the Variable : Move the terms involving the variable to one side and constant terms to the other side.
3. Solve for the Variable : Divide or multiply to solve for the variable.

Example 1: Solving a Simple Linear Equation

Answer Step-by-Step Solution :

1. Subtract 5 from both sides: $3x+5-5=11-5$ $3x=6$
2. Divide by 3: x=63x = \frac{6}{3} x = 3 6 ​ $x=2$

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ICSE Class 8 Maths Selina Solutions for Chapter 14 Linear Equations in One Variables Exercise 1

Solve the following equations:

Question 1

20 = 6+2x

Solution:-

Question 2

15 + x = 5x + 3

Solution:-

Question 3

(3x+2)/(x−6) =−7

Solution:-

Question 4

3a – = 2 (4 – a)

Solution:-

Question 5

3(b – 4) = 2 (4 – b)

Solution:-

Question 6

(x+2)/9 = (x+4)/11

Solution:-

Question 7

(x − 8)/5 = (x − 12)/9

Solution:-

Question 8

5(8x + 3) = 9(4x + 7)

Solution:-

Question 9

3(x + 1) = 12 + 4 (x – 1)

Solution:-

Question 10

3x/4− ¼ (x − 20) = x/4 +32

Solution:-

Question 11.

Solution:-

Question 12.

x/3 −2½ = 4x/9 − 2x/3

Solution:-

Question 13:

(4(y + 2))/5 = 7 + 5y/13

Solution:-

Question 14.

(a + 5)/6 – (a + 1)/9 = (a + 3)/4

Solution:-

Question 15:

Solution:-

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Benefits of ICSE Class 8 Maths Selina Solutions for Chapter 14 Linear Equations in One Variable

• Clear Explanations : The solutions provide detailed, step-by-step explanations for solving linear equations, making it easier for students to understand the process.
• Conceptual Understanding : These solutions help students grasp the fundamental concepts of linear equations, such as isolating the variable and balancing both sides of the equation.
• Problem-Solving Skills : Regular practice with these solutions enhances students' problem-solving skills, enabling them to tackle various types of linear equations with confidence.
• Exam Preparation : The solutions are aligned with the ICSE curriculum, helping students prepare effectively for exams by practicing similar types of questions they might encounter.
• Foundation for Advanced Topics : Mastering linear equations in one variable lays a strong foundation for more advanced mathematical topics, such as quadratic equations and algebraic expressions.
• Self-Study Aid : The solutions are a valuable resource for self-study, allowing students to review and practice at their own pace, reinforcing their learning outside the classroom.
• Error Correction : By comparing their answers with the provided solutions, students can identify and correct their mistakes, leading to better learning and retention.