Question

linear equations in one variable class 8 worksheets with answers​

Answer 1

CONCEPT:

Here we have to solve expressions which are linear in nature and contains only one variable. In a linear equation with one variable ,there will be only one variable whose value can differ in different situations and some constant numbers. We want to find the value of variables by doing simple arithmetic calculations like addition, subtraction, and multiplication within the equation.

GIVEN:

In the question it's given to solve the worksheet of class NCERT chapter "Linear Equation in One Variable".

There are six exercises in this chapter "2.1,2.2,2.3,2.4,2.5,2.6".

FIND:

Find solutions to the exercices given in this chapter

SOLUTION:

I am only giving the answers here.

Exercise 2.1

(i) x-2=7

bringing

( -2)  to RHS we get:

x=7+2=9

( ii) y+3=10

bringing 3 to RHS we get ,

y=10-3=7

(iii)6=z+2

bringing 2 to LHS

we get 4=z.

(iv)3/7+x=17/7

bringing 3/7 to RHS

we get x=17/7-3/7=14/7=2

(v)2x/3=18

2x=18*3=54

x=27

(vi)x/3+1=7/15

$\frac{x}{3} +1=\frac{7}{15} \\(\frac{5}{5} *\frac{x}{3} )+1=\frac{7}{15} \\\\\frac{5x}{15}+1=\frac{7}{15} \\7-5x=15\\-8=5x\\x=-8/5$

Exercise 2.2

1)Forming a linear equation for the given problem statement and solving it will lead to the solution.

Let the number be x

Then,

(i) 1/2 is subtracted from a number  means x-1/2

(ii) Result is multiplied by 1/2 means 1/2(x-1/2)

(iii) Answer is 1/8 means that

1/2(x-1/2)=1/8

x-1/2=1/4

x=3/4.

2)Form a linear equation by using the formula for the perimeter of a rectangle. Assume either the breadth or the length to be a variable.

Let the breadth of swimming pool be x m.

So, the length of the swimming pool will be (2x + 2) m

Perimeter of rectangular swimming pool:

2(Length+ Breadth  )

So perimeter=(2(x+2x+2))=154

2(3x+2)=154

3x=75

x=25

breadth 25m

length 2x+2=52m

Length of the pool = 52 m

Breadth of the pool = 25 m

3)In an isosceles triangle, two sides of the triangle are equal. The value of one side is given.

We can assume any one of the two sides to be a variable and form a linear equation using the following formula for the perimeter of any triangle:

Perimeter of a Triangle= Sum of the Lengths of all Three Sides

Let the length of either of equal sides be x cm.

(i) Base of an isosceles triangle=4/3 cm

(ii) Perimeter of the triangle=x+x+4/3=42/15(Sum of the Lengths of all Three Sides)

2x+4/3=62/15

2x=42/15

from this x=7/5

Length of either of the equal side of isosceles triangle is 7/5 cm.

Thus the problems are solved

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Answer 2

Answer:

Step-by-step explanation: