RS Aggarwal Solutions Class 6 Maths Chapter 9 Linear Equations Exercise 9.3 (Ex 9C)
FAQs on RS Aggarwal Solutions Class 6 Chapter-9 Linear Equations in One Variable (Ex 9C) Exercise 9.3
1. What are the units in class 6 Maths book by RS Aggarwal?
Class 6 maths book curated by RS Aggarwal contains twenty-four chapters. The names are Number System, Whole Numbers, Fractions, Factors and Multiples, Integers, Decimals, Simplifications, Algebraic Expressions, Linear Equations in One Variable, Line Segment, Ray and Line, Ratio, Proportions, and Unitary Methods, Constructions, Polygons, Angles and Their Measurement, Triangles, Three-Dimensional Shapes, Data Handling, Quadrilaterals, Pictograph, Two-Dimensional Reflection Symmetry, Circles, Constructions, Concept of Perimeter and Area and Bar Graph.
2. What is the dissimilarity between an equation and a function?
A function can be defined as mapping or transformation of a particular thing into another thing. For instance, you can write a function as a formula (f(x) = x2 or x -> x2). You can also depict it as a set of ordered pairs like {(1,1), (2, 4), (3,9),….} or it can be written in the form how an input related to the output. You must also note that functions do not necessarily mean using numbers; it can be used for words as well.
On the other hand, the equation is considered to be a declaration that two sides are equal. For instance, 32 = 9, which means when you calculate the square of 3, the result is 9.
3. What are the linear equation involving two variables?
Given two variables, the linear equation of the same can be expressed as ax + bx + c = 0, where a, b and c are constants, and x and y are variables. An equivalent form of the previous equation can be written as Ax + By = C, provided A = a, B = b and C = -c.
Note that these equivalent variants are specified by generic terms like standard or general form.
4. How to plot a linear equation on a graph?
Firstly, you need to find the y-intercept and mark the point. Secondly, utilise the slope to evaluate the second point. Finally, join the line connecting two points.
5. What are the steps to solve linear equations in one variable?
Solving Linear Equation In One Variable
When you have to solve a Linear equation in one variable that always has only one solution, then the steps given below are followed.
Step 1: Find the LCM in case of fractions with different denominators. This is to remove fractions.
Step 2: Simplify the equations down to the simplest and solvable form
Step 3: Take the numbers to one side and the variable on one side.
Step 4: Solve the equation and get the result for the equating variable on the other hand.
6. What are the topics covered in RS Aggarwal Class 6 Chapter 9?
An equation whose degree is one or the maximum power is one in an equation, i.e The highest power of the variable in the given equation is one is called a linear equation in one variable. The topics covered are:
1. Introduction to Linear equation
2. Standard form of linear equation in one variable
3. Rules to follow while solving linear equation in one variable
4. Applications of linear equation in one variable
5. Reducing linear equations to their simplest forms
7. Mention some important key features to keep in mind from RS Aggarwal Class 6 chapter 9 Linear equation in one variable.
The major points to remember from this chapter are-
Highest power of a linear equation in one variable is always one.
A linear equation can have just one or two variables in the equation.
The linear equation is divided by an equality sign, where the left-hand side of the equation is called LHS and the right-hand side of the equation is called RHS.
The standard formula used for calculating linear equation in one variable is ax+b=0
Where x is the variable, a and b are the real numbers.
