Statements are true or false equations and inequalities:

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State whether the following statements are true (T) or false (F):
(i) We can add (or subtract) the same number of expression to both sides of an equation.
(ii) We can divide both sides of an equation by the same non-zero number.
(iii) 3x – 5 = 2(x + 3) + 7 is a linear equation in one variable.
(iv) The solution of the equation 3(x – 4) = 30 is x = 6.
(v) The solution of the equation 3x – 5 = 2 is x = \frac { 7 }{ 3 }
(vi) The solution of a linear equation in one variable is always an integer.
(vii) 4x + 5 < 65 is not an equation.
(viii) 2x + 1 = 7 and 3x – 5 = 4 have the same solution.
(ix) \frac { 9 }{ 4 } is a solution of the equation 5x – 1 = 8.
(x) If 5 is a solution of variable x in the equation \frac { 5x-7 }{ 2 } = y, then the value of y is 18.
(xi) One-fourth of a number added to itself given 10, can be represented as \frac { x }{ 4 } + 10 = x.

Solution:

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 9 Linear Equations and Inequalities Objective Type Questions 3
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 9 Linear Equations and Inequalities Objective Type Questions 4
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 9 Linear Equations and Inequalities Objective Type Questions 5

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