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Sum of two numbers is 81. One is twice the other.(a) If smaller number is x, the other number is ___ (b) The equation formed is _ (c) The solution of the equation is ___ (d) The numbers are _ and ___

Answer: (a) If smaller number is x, the other number is 2x. From the question it is given that smaller number is x and one is twice the other.... View Article

The sum of two numbers is 60 and their difference is 30.(a) If smaller number is x, the other number is ___ (b) The difference of numbers in term of x is _ (c) The equation formed is (d) The solution of the equation is (e) The numbers are _ and ____ .

Answer: Let smaller number be x. ∴ Other number would be 60 – x. Aa per the question, 60 – x – x = 30 ⇒ 60 –... View Article

Shifting one term from one side of an equation to another side with a change of sign is known as(a) commutativity (b) transposition(c) distributivity (d) associativity

Answer: (b) transposition The process of moving a term from one side of the equation to the other side is called transposing. It is the same as... View Article

Which of the following numbers satisfy the equation –6 + x = –12 ?(a) 2 (b) 6 (c) – 6 (d) – 2

Answer: (c) – 6 Transpose - The process of moving a term from one side of the equation to the other side is called transposing. It is the... View Article

If (x/2) = 3, then the value of 3x + 2 is(a) 20 (b) 11 (c) 13/2 (d) 8

Answer: (a) 20 Transpose - The process of moving a term from one side of the equation to the other side is called transposing. It is the same as... View Article

Which of the following equations cannot be formed using the equation x = 7?(a) 2x + 1 = 15 (b) 7x – 1 = 50(c) x – 3 = 4 (d) (x/7) – 1 = 0

Answer: (b) 7x – 1 = 50 Transpose - The process of moving a term from one side of the equation to the other side is called transposing. It... View Article

Which of the following equations can be formed starting with x = 0?(a) 2x + 1 = – 1 (b) x/ 2 + 5 = 7(c) 3x – 1 = – 1 (d) 3x – 1 = 1

Answer: (c) 3x – 1 = – 1 Transpose - The process of moving a term from one side of the equation to the other side is called... View Article

The equation having – 3 as a solution is:(a) x + 3 =1 (b) 8 + 2x = 3 (c) 10 + 3x = 1 (d) 2x + 1 = 3

Answer: (c) 10 + 3x = 1 Transpose - The process of moving a term from one side of the equation to the other side is called transposing. It is the... View Article

The equation having 5 as a solution is:(a) 4x + 1 = 2 (b) 3 – x = 8 (c) x – 5 = 3 (d) 3 + x = 8

Answer: (d) 3 + x = 8 Transpose - The process of moving a term from one side of the equation to the other side is called transposing. It is the... View Article

x exceeds 3 by 7, can be represented as(a) x + 3 = 2 (b) x + 7 = 3 (c) x – 3 = 7 (d) x – 7 = 3

Answer: (c) x – 3 = 7 Given statement: x exceeds 3 by 7 Exceed is asked so we need to subtract ∴ The given statement can be... View Article

If 43m = 0.086, then the value of m is(a) 0.002 (b) 0.02 (c) 0.2 (d) 2

Answer: (a) 0.002 Consider the given equation 43m = 0.086 To find out the value of m. m = 0.086/43 m = 0.002... View Article

If k + 7 = 16, then the value of 8k – 72 is(a) 0 (b) 1 (c) 112 (d) 56

Answer: (a) 0 Transpose - The process of moving a term from one side of the equation to the other side is called transposing. It is the same as... View Article

The value of y for which the expressions (y – 15) and (2y + 1) become equal is(a) 0 (b) 16 (c) 8 (d) – 16

Answer: (d) – 16 Consider the given equation (y – 15) = (2y + 1) Transpose - The process of moving a term from one side of the... View Article

The solution of the equation 3x + 7 = – 20 is(a) 17/7 (b) -9 (c) 9 (d) 13/3

Answer: (b) -9 Consider the given equation 3x + 7 = – 20 Transpose - The process of moving a term from one side of the equation to the... View Article

If 7x + 4 = 25, then x is equal to(a) 29/7 (b) 100/7 (c) 2 (d) 3

Answer: (d) 3 Consider the given equation 7x + 4 = 25 Transpose - The process of moving a term from one side of the equation to the other side is... View Article

The equation which cannot be solved in integers is(a) 5y – 3 = – 18 (b) 3x – 9 = 0(c) 3z + 8 = 3 + z (d) 9y + 8 = 4y – 7

Answer: (c) 3z + 8 = 3 + z Consider Option (a) 5y – 3 = – 18 5y = -18 + 3 5y = - 15 y = -15/5 y = -3 (Integer) Option (b) 3x –... View Article

The solution of which of the following equations is neither a fraction nor an integer? (a) 2x + 6 = 0 (b) 3x – 5 = 0(c) 5x – 8 = x + 4 (d) 4x + 7 = x + 2

Answer: (d) 4x + 7 = x + 2 Option (a) 2x + 6 = 0 2x = -6 x = -6/2 x = -3 (Integer) Option (b) 3x – 5 = 0 3x = 5 x = 5/3 (Fraction) Option... View Article

Which of the following is not allowed in a given equation?(a) Adding the same number to both sides of the equation.(b) Subtracting the same number from both sides of the equation.(c) Multiplying both sides of the equation by the same non-zero number.(d) Dividing both sides of the equation by the same number.

Answer: (d) Dividing both sides of the equation by the same number. In a given equation, both sides of the equation can be divided by the same... View Article

If a and b are positive integers, then the solution of the equation ax = b will always be a(a) positive number (b) negative number (c) 1 (d) 0

Answer: (a) positive number Simple equation - A mathematical equation that represents the relationship of two expressions on either side of the... View Article

The solution of the equation ax + b = 0 is(a) a/b (b) –b (c) –b/a (d) b/a

Answer: (c) –b/a Simple equation - A mathematical equation that represents the relationship of two expressions on either side of the sign.... View Article