Solve the following equations. x 3 + 1 = 7 15

Given equation is x 3 + 1 = 7 15 x 3 + 1 = 7 15 x 3 = 7 15 - 1 x 3 = 7 - 15 15 x 3 = - 8 15 15 x = - 24 ∴ x = - 24 15 = - 8 5

A rational number is such that when you multiply it by 5 2 and add 2 3 to the product, you get - 7 12 . What is the number?

Let the rational number is x given 5 2 x + 2 3 = - 7 12 ⇒ 5 x 2 = - 7 12 - 2 3 ⇒ 5 x 2 = - 7 - 8 12 ⇒ 5 x 2 = - 15 12 ⇒ 60 x = - 30 ⇒ 60 x 60 = - 30 60 ⇒ x = - 1 2

Solve the following equations. 3 y + 4 2 - 6 y = - 2 5

Given equation is 3 y + 4 2 - 6 y = - 2 5 By cross multiplication ⇒ 5 ( 3 y + 4 ) = - 2 ( 2 - 6 y ) ⇒ 15 y + 20 = - 4 + 12 y ⇒ 15 y - 12 y = - 4 - 20 ⇒ 3 y = - 24 ∴ y = - 8

Solve the following equations. 7 y + 4 y + 2 = - 4 3

Given equation is 7 y + 4 y + 2 = - 4 3 ⇒ 3 ( 7 y + 4 ) = - 4 ( y + 2 ) ⇒ 21 y + 12 = - 4 y - 8 ⇒ 21 y + 4 y = - 8 - 12 ⇒ 25 y = - 20 ⇒ y = - 20 25 ∴ y = - 4 5

E M B I B E

START UP MATHEMATICS>Chapter 8 - Linear Equations in One Variable>SOME NCERT TEXTBOOK QUESTIONS

Monicaa Abhijit Solutions for Chapter: Linear Equations in One Variable, Exercise 9: SOME NCERT TEXTBOOK QUESTIONS

Author:Monicaa Abhijit

Monicaa Abhijit Mathematics Solutions for Exercise - Monicaa Abhijit Solutions for Chapter: Linear Equations in One Variable, Exercise 9: SOME NCERT TEXTBOOK QUESTIONS

Attempt the practice questions on Chapter 8: Linear Equations in One Variable, Exercise 9: SOME NCERT TEXTBOOK QUESTIONS with hints and solutions to strengthen your understanding. START UP MATHEMATICS solutions are prepared by Experienced Embibe Experts.

Questions from Monicaa Abhijit Solutions for Chapter: Linear Equations in One Variable, Exercise 9: SOME NCERT TEXTBOOK QUESTIONS with Hints & Solutions

EASY

8th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 8 - Linear Equations in One Variable>SOME NCERT TEXTBOOK QUESTIONS>Q 1

Solve the following equations.

$\frac{x}{3} + 1 = \frac{7}{15}$

EASY

8th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 8 - Linear Equations in One Variable>SOME NCERT TEXTBOOK QUESTIONS>Q 2

A rational number is such that when you multiply it by $\frac{5}{2}$ and add $\frac{2}{3}$ to the product, you get $- \frac{7}{12}$ . What is the number?

EASY

8th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 8 - Linear Equations in One Variable>SOME NCERT TEXTBOOK QUESTIONS>Q 3

The organisers of an essay competition decide that a winner in the competition gets a prize of $₹ 100$ and a participant who does not win gets a prize of $₹ 25$ . The total prize money distributed is $₹ 3000$ . Find the number of winners, if the total number of participants is $63$ .

MEDIUM

8th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 8 - Linear Equations in One Variable>SOME NCERT TEXTBOOK QUESTIONS>Q 5

One of the two digits of a two digit number is three times the other digit. If you interchange the digits of this two-digit number and add the resulting number to the original number, you get $88$ . What is the original number?

HARD

8th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 8 - Linear Equations in One Variable>SOME NCERT TEXTBOOK QUESTIONS>Q 6

There is a narrow rectangular plot, reserved for a school, in Mahuli village. The length and breadth of the plot are in the ratio $11 : 4$ . At the rate $₹ 100$ per metre it will cost the village panchayat $₹ 75000$ to fence the plot. What are the dimensions of the plot?