9x – _________ = –21 has the solution (–2)
9x – 3 = –21 has the solution (–2) Explanation Given that, x = -2 Then, let us assume the... View Article
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Any value of the variable which makes both sides of an equation equal is known as a _________ of the equation.
Any value of the variable which makes both sides of an equation equal is known as a solutionof the equation.... View Article
The solution of the equation 2y = 5y – 18/5 is .
The solution of the equation 2y = 5y – 18 5 is (6/5). Explanation 2y = 5y – (18/5) On... View Article
The solution of the equation 3x – 4 = 1 – 2 x is .
The solution of the equation 3x – 4 = 1 – 2 x is 1. Explanation 3x – 4 =... View Article
In a linear equation, the _________ power of the variable appearing in the equation is one.
In a linear equation, the highest power of the variable appearing in the equation is one. Explanation The linear equations... View Article
The sum of three consecutive multiples of 7 is 357. Find the smallest multiple. (a) 112 (b) 126 (c) 119 (d) 116
The correct answer is (a) 112 Explanation Let us assume the three consecutive multiples of 7 be 7m, (7m +... View Article
Arpita’s present age is thrice of Shilpa. If Shilpa’s age three years ago was x. Then Arpita’s present age is (a) 3(x – 3) (b) 3x + 3 (c)3x – 9 (d) 3(x + 3)
The correct answer is (d) 3(x + 3) Explanation Shilpa’s age three years ago was x So Shilpa’s present age... View Article
The digit in the tens place of a two digit number is 3 more than the digit in the units place. Let the digit at units place be b. Then the number is (a) 11b + 30 (b) 10b + 30 (c) 11b + 3 (d) 10b + 3
The correct answer is (a) 11b + 30 Explanation Let the digit at units place be b. The digit in... View Article
(-4/3)y = – ¾, then y = (a) -(¾)2 (b) -(4/3)2 (c) (¾ )2 (d) (4/3)2
The correct answer is (c) (3/4 )2 Explanation (-4/3)y = -3/4 Y = – 3/4 × -3/4 Y = 9/16... View Article
Value of S in (1/3) + S = 2/5 (a) 4/5 (b) 1/15 (c) 10 (d) 0
The correct answer is (b) 1/15 Explanation 1/3 + S = 2/5 S = 2/5 – 1/3 S = (6... View Article
A linear equation in one variable has (a) Only one solution (b) Two solutions (c) More than two solutions (d) No solution
The correct answer is (a) Only one solution Explanation The linear equations in one variable is an equation which is... View Article
Which of the following is a linear expression: (a) x2 + 1 (b) y + y2 (c) 4 (d) 1 + z
The correct answer is (d) 1 + z Explanation The linear equations in one variable is an equation which is... View Article
Linear equation in one variable has (a) only one variable with any power. (b) only one term with a variable. (c) only one variable with power 1. (d) only constant term.
The correct answer is (c) only one variable with power 1. Explanation The linear equations in one variable is an... View Article
If a and b are positive integers, then the solution of the equation ax = b has to be always (a) positive (b) negative (c) one (d) zero
The correct answer is (a) positive Explanation Let a = 3, b = 4 Then, ax = b 3x =... View Article
The value of x for which the expressions 3x – 4 and 2x + 1 become equal is (a) -3 (b) 0 (c) 5 (d) 13/19
The correct answer is (c) 5 Explanation 3x – 4 = 2x + 1 On combining the like terms and... View Article
If (5x/3) – 4 = (2x/5), then the numerical value of 2x – 7 is (a) 19/13 (b) -13/19 (c) 0 (d) 13/19
The correct answer is (b) -13/19 Explanation (5x/3) – 4 = (2x/5) (5x/3) – (2x/5) = 4 LCM of... View Article
The shifting of a number from one side of an equation to other is called (a) Transposition (b) Distributivity (c) Commutativity (d) Associativity
The correct answer is (a) Transposition Explanation The shifting of a number from one side of an equation to other... View Article
If 8x – 3 = 25 +17x, then x is (a) a fraction (b) an integer (c) a rational number (d) cannot be solved
The correct answer is (c) a rational number Explanation 8x – 3 = 25 + 17x On solving the given... View Article
The solution of the equation ax + b = 0 is (a) x = a/b (b) x = -b (c) x = -b/a (d) x = b/a
The correct answer is (c) x = -b/a Explanation ax + b = 0 On solving the given equation by... View Article
The solution of which of the following equations is neither a fraction nor an integer. (a) 3x + 2 = 5x + 2 (b) 4x – 18 = 2 (c) 4x + 7 = x + 2 (d) 5x – 8 = x + 4
The correct answer is (c) 4x + 7 = x + 2 Explanation 4x + 7 = x + 2 On... View Article
