Chapter 2 Linear Equations in One Variable Exercise 2.6
Chapter 2 Linear Equations in One Variable Exercise 2.6 Question 1. Question 2. Question 3. Question 4. Question 5. Question 6. The ages of Hari and Harry are in the ratio 5 : 7. Four years from now the ratio of their ages will be 3 : 4. Find their present ages. Solution: Let the […]
Chapter 2 Linear Equations in One Variable Exercise 2.5
Chapter 2 Linear Equations in One Variable Exercise 2.5 Question 1. Solution: Question 2. Solution: LCM of 2, 4 and 6 = 12 (Multiplying both sides by 12) ⇒ 6n – 9n + 10n = 252 ⇒ 7n = 252 ⇒ n = 252 ÷ 7 ⇒ n = 36 Question 3. Solution: ⇒ -10x […]
Chapter 2 Linear Equations in One Variable Exercise 2.4
Chapter 2 Linear Equations in One Variable Exercise 2.4 Question 2. A positive number is 5 times another number. If 21 is added to both the numbers, then one of the new numbers becomes twice the other number. What are the numbers? Solution: Let the positive number be x. Other number = 5x Condition I: […]
Chapter 2 Linear Equations in One Variable Exercise 2.3
Chapter 2 Linear Equations in One Variable Exercise 2.3 Question 1. 3x = 2x + 18 Solution: We have 3x = 2x + 18 ⇒ 3x – 2x = 18 (Transposing 2x to LHS) ⇒ x = 18 Hence, x = 18 is the required solution. Check: 3x = 2x + 18 Putting x = […]
Chapter 2 Linear Equations in One Variable Exercise 2.2
Chapter 2 Linear Equations in One Variable Exercise 2.2 Solution: Let the required number be x. Question 2. The perimeter of a rectangular swimming pool is 154 m. Its length is 2 m more than twice its breadth. What are the length and the breadth of the pool? Solution: Let the breadth of the pool […]
Chapter 2 Linear Equations in One Variable Exercise 2.1
Chapter 2 Linear Equations in One Variable Exercise 2.1 Question 1. Solve the equation: x – 2 = 7. Solution: Given: x – 2 = 7 ⇒ x – 2 + 2 = 7 + 2 (adding 2 on both sides) ⇒ x = 9 (Required solution) Question 2. Solve the equation: y + 3 […]
Chapter 1 Rational Numbers
Chapter 1 Rational Numbers Extra Questions Very Short Answer Type Question 1. Question 4. Question 5. What is the multiplicative identity of rational numbers? Solution: 1 is the multiplicating identity of rational numbers. Question 6. What is the additive identity of rational numbers? Solution: 0 is the additive identity of rational numbers. Solution: Short Answer […]
Chapter 1 Rational Numbers Exercise 1.2
Chapter 1 Rational Numbers Exercise 1.2 Question 1. Represent these numbers on the number line Question 2. Solution: Question 5. Find five rational numbers between Solution: Question 6. Question 7.
Chapter 1 Rational Numbers Exercise 1.1
Chapter 1 Rational Numbers Exercise 1.1 Question 1. Using appropriate properties find: Solution: Question 2. Write the additive inverse of each of the following: Solution: Question 3. Verify that -(-x) = x for Solution: Question 4. Find the multiplicative inverse of the following: Solution: Question 5. Name the property under multiplication used in each of […]