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Three consecutive numbers whose sum is 12 are _____, _ and _____.

Three consecutive numbers whose sum is 12 are 3, 4 and 5. Explanation 3, 4 and 5 are consecutive numbers and their sum is 12 3 + 4 + 5 = 12... View Article

9x – _________ = –21 has the solution (–2)

9x – 3 = –21 has the solution (–2) Explanation Given that, x = -2 Then, let us assume the missing number be n (9 ×... View Article

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. Explanation A linear equation in... 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 combining the like terms and solving we get... 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 = 1 – 2 On combining the like terms and solving... 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 in one variable is... 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 + 7), (7m + 14) where m is a natural... 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 is = x + 3... 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 the tens place of a two digit number is 3 more... 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 Y = (3 × 3)/(4 × 4) Y =... 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 – 5)/15 S = 1/15... 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 expressed in the form of... 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 expressed in the form of ax+b = 0, where... 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 equation which is expressed in... 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 = 4 X = 4/3... 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 solving we get 3x – 2x = 1 + 4 X = 5... 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 3 and 5 is 15 (25x –... 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 is called Transposition... 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 equation by transferring the like... 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 transferring the like terms ax = -b x = -b/a... View Article