Class 7 Maths Chapter 4 Simple Equations Exercise 4.4 pdf notes:-

**Exercise 4.4** Class 7 maths Chapter 4 Pdf Notes:-

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## Ncert Solution for Class 7 Maths Chapter 4 Simple Equations Exercise 4.4 Tips:-

**APPLICATIONS OF SIMPLE EQUATIONS TO PRACTICALSITUATIONS**

We have already seen examples in which we have taken statements in everyday language

and converted them into simple equations. We also have learnt how to solve simple equations.

Thus we are ready to solve puzzles/problems from practical situations. The method is first

to form equations corresponding to such situations and then to solve those equations

to give the solution to the puzzles/problems.

**TRY THESE**

(i) When you multiply a number by 6 and subtract 5 from the product, you get 7. Can you tell what the number is?

(ii) What is that number one third of which added to 5 gives 8?

**TRY THESE** There are two types of boxes containing mangoes. Each box of the larger type contains

4 more mangoes than the number of mangoes contained in 8 boxes of the smaller type.

Each larger box contains 100 mangoes. Find the number of mangoes contained in the

smaller box?

**WHAT HAVE WE DISCUSSED?**

**1.**An equation is a condition on a variable such that two expressions in the variable should have equal value.

**2.**The value of the variable for which the equation is satisfied is called the solution of the equation.

**3.**An equation remains the same if the LHS and the RHS are interchanged.

**4.**In case of the balanced equation, if we

(i) add the same number to both the sides, or (ii) subtract the same number from

both the sides, or (iii) multiply both sides by the same number, or (iv) divide both

sides by the same number, the balance remains undisturbed, i.e., the value of the

LHS remains equal to the value of the RHS

**5.**The above property gives a systematic method of solving an equation. We carry out

a series of identical mathematical operations on the two sides of the equation in such

a way that on one of the sides we get just the variable. The last step is the solution of

the equation.

**6.**Transposing means moving to the other side. Transposition of a number has the same

effect as adding same number to (or subtracting the same number from) both sides of

the equation. When you transpose a number from one side of the equation to the

other side, you change its sign. For example, transposing +3 from the LHS to the

RHS in equation x + 3 = 8 gives x = 8 ā 3 (= 5). We can carry out the transposition

of an expression in the same way as the transposition of a number.

**7.**We have learnt how to construct simple algebraic expressions corresponding to

practical situations.

We also learnt how, using the technique of doing the same mathematical operation

(for example adding the same number) on both sides, we could build an equation

starting from its solution. Further, we also learnt that we could relate a given equation

to some appropriate practical situation and build a practical word problem/puzzle

from the equation.