RS Aggarwal Class-7 Linear Equations ICSE Maths Goyal Brothers Prakashan

RS Aggarwal Class-7 Linear Equations ICSE Maths Goyal Brothers Prakashan Chapter-14 Solutions. We provide step by step Solutions of Exercise / lesson-14 Linear Equations  for  ICSE Class-7 RS Aggarwal Mathematics.

Our Solutions contain all type Questions with Exe-14 A, Exe-14 B and MCQs Exe-14 C with Mental Maths to develop skill and confidence. Visit official Website CISCE for detail information about ICSE Board Class-7 Mathematics.

RS Aggarwal Class-7 Linear Equations ICSE Maths Goyal Brothers Prakashan Chapter-14 Solutions

-: Select Topic :-

Exe-14 A,

Exe-14 B,

 MCQs Exe-14 C,

 Mental Maths

Linear Equation Definition

What is a linear equation definition and example? An Equation having the maximum order of 1 is known as a Linear equation.

Linear equations are also first-degree equations as it has the highest exponent of variables as 1

Linear equation in one variable

When the equation has a homogeneous variable (i.e. only one variable), then this type of equation is known as a Linear equation in one variable. In different words, a line equation is achieved by relating to zero a linear polynomial over any field, from which the coefficients are obtained

The solutions of linear equations will generate values, which when substituted for the unknown values, make the equation true. In the case of one variable, there is only one solution,

Equation: An equation is a statement of equality which contains one or more unknown quantity/ quantities (or variable/variables) is called an equation.

Linear Equation in One Variable:

An equation is called linear equation if it has only one degree i.e., the highest power of the variable appearing in equation is 1, and the form of linear equation is

Solving an Equation:

Solving an equation means determining its root i.e., determining (finding) the value of the variable which satisfies it.

A linear equation may have any rational number, as its solution.

An equation may have a linear expression on both sides of the equation.

Some equations may not be linear in the beginning, but they can be brought to be linear by using usual methods.

utility of linear equations

The utility of linear equations is in their diverse applications, different problems on numbers, ages, perimeters, the combination of currency notes and so on can be solved using linear equations.

solution of the equation

A term may be transposed from one side of the equation to the other side, but its sign will be changed.

Also, the expression we use to form a linear equation is linear only, i.e., the highest power of the variable occurring in the expression is 1 and that too only in one variable.

LHS = RHS

The value of the variable for which LHS = RHS is called a solution of the linear equation.

To find the solution of a linear equation

To find the solution of a linear equation in one variable, we assume that the two sides of the equation are balanced.

• We are free to perform the same operation (suitable) on both sides of the equation such as we can add to or subtract from both sides of the equation the same quantity (number).
• Also, we can multiply or divide both sides of the equation by the same non-zero quantity (number).
• Solving Equations which have Linear Expressions on One Side and Numbers on the Other Side
• We transpose the numbers from LHS to RHS and simplify. Then, we divide both sides by the coefficient of the variable to get the solution.
• Finally, we check the solution by substituting it in LHS and checking whether RHS is obtained or not by doing so.

If LHS = RHS, the solution is said to be valid. Reject if the solution is invalid.

Important Trick of a linear equation

•  The process of carrying out a term from one side to the other side is called transposition. In this process, the sign of the term gets changed.
•  The process of carrying out a term from one side to the other side is called transposition. In this process, the sign of the term gets changed.

Exe-14 A, RS Aggarwal Class-7 Linear Equations ICSE Maths Goyal Brothers Prakashan

Page 157

Solve each of the following equations and check your answer in each case

Question 1

5 (z+4)=35

Question 2

…………………….

……………………

……………………

Question 9

6 (3x+2)-5(6x-1)=3(x-8)-5(7x-6)+9x

Question 10

………………………….

………………………..

…………………………..

Question 24

3/4 (7x-1) …………………………… = x + (3/2)

RS Aggarwal Class-7 Linear Equations Exe-14 B for ICSE Maths Goyal Brothers Prakashan

Page 159-161

Question 1

Three-sevenths of a number is 12. Find the number.

Question 2

A number  increased ………….. the number.

Question 3

A number ……………………… find the number.

Question 4

Thrice ……………… find the number.

Question 5

Three ……………….. find the number.

Question 6

A number …………………… find the number.

Question 7

…………………………

………………………….

…………………….

Question 16

The length of a rectangle ………………………………. of the park.

Question 17

……………………….

…………………

…………………………..

Question 25

A sum ……………………. of each type

Question 26

There are ……………. of each kind.

Question 27

A laborer is engaged for 20 days on the condition that he will receive rs. 280 for each day he works and will be fined rs………………  remain absent ?

 

 MCQs Exe-14 C, Goyal Brothers Prakashan

Page 161-162

Multiple Choice Questions

Question 1

If 7x – 12=13-5x-5, then the value

Question 2

…………………………..

…………………………..

………………………….

Question 10

Three times …………………………… the number is 

Question 11

…………………….

…………………………

………………………..

Question 15

The age of A and B are in the ratio 2:5. After 6 year, their ages will be in the ratio 1:2. the p[resent age of B is

Fill in the blanks :

(i)…………….

(ii)……………..

(iii)………….

(iv)…………….

(v)………..

(vi)……………….

 

 Mental Maths Chapter-14

–: End of RS Aggarwal Class-7 Linear Equations Solutions :–

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