The shifting of a number from one side of an equation to other is called
(a) Transposition
(b) Distributivity
(c) Commutativity
(d) Associativity
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 value of x for which the expressions 3x – 4 and 2x + 1 become equal is
(a) -3
(b) 0
(c) 5
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
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.
Which of the following is a linear expression:
(a) x^2 + 1
(b) y + y^2
(c) 4
(d) 1 + z
A linear equation in one variable has
(a) Only one solution
(b) Two solutions
(c) More than two solutions
(d) No solution
Value of S in (1/3) + S = 2/5
(a) 4/5
(b) 1/15
(c) 10
(d) 0
(-4/3)y = – ¾, then y =
(a) -(¾)^2
(b) -(4/3)^2
(c) (¾ )^2
(d) (4/3)^2
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
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 sum of three consecutive multiples of 7 is 357. Find the smallest multiple.
(a) 112
(b) 126
(c) 119
(d) 116
In a linear equation, the _________ power of the variable appearing in the equation is one.
The solution of the equation 3x – 4 = 1 – 2 x is __________ .
The solution of the equation 2y = 5y – 18/5 is _________ .
Any value of the variable which makes both sides of an equation equal is known as a _________ of the equation.
9x – _________ = –21 has the solution (–2)
Three consecutive numbers whose sum is 12 are _________, _________ and _________.
The share of A when Rs 25 are divided between A and B so that A gets Rs. 8 more than B is _________.
A term of an equation can be transposed to the other side by changing its _________.
On subtracting 8 from x, the result is 2. The value of x is _________.
(x/5) + 30 = 18 has the solution as ____________ .
When a number is divided by 8, the result is –3. The number is _________.
If (2/5)x – 2 = 5 – (3/5)x, then x = ___________ .
After 18 years, Swarnim will be 4 times as old as he is now. His present age is _________.
Convert the statement adding 15 to 4 times x is 39 into an equation _________.
The denominator of a rational number is greater than the numerator by 10. If the numerator is increased by 1 and the denominator is decreased by 1, then expression for new denominator is _________.
The sum of two consecutive multiples of 10 is 210. The smaller multiple is _________.
3 years ago, the age of a boy was y years. His age 2 years ago was (y – 2) years
Shikha’s present age is p years. Reemu’s present age is 4 times the present age of Shikha. After 5 years Reemu’s age will be 15p years.
In a 2 digit number, the units place digit is x. If the sum of digits be 9, then the number is (10x – 9).
Sum of the ages of Anju and her mother is 65 years. If Anju’s present age is y years then her mother’s age before 5 years is (60 – y) years.
The number of boys and girls in a class are in the ratio 5:4. If the number of boys is 9 more than the number of girls, then number of boys is 9.
A and B are together 90 years old. Five years ago A was thrice as old as B was. Hence, the ages of A and B five years back would be (x – 5) years and (85 – x) years respectively.
Two different equations can never have the same answer.
In the equation 3x – 3 = 9, transposing –3 to RHS, we get 3x = 9.
In the equation 2x = 4 – x, transposing –x to LHS, we get x = 4.
If (15/8) – 7x = 9, then -7x = 9 + (15/8)
If (x/3) + 1 = (7/15), then x/3 = 6/15
If 6x = 18, then 18x = 54
If x/11 = 15, then x = 11/15
If x is an even number, then the next even number is 2(x + 1).
If the sum of two consecutive numbers is 93 and one of them is x, then the other number is 93 – x.
Two numbers differ by 40, when each number is increased by 8, the bigger becomes thrice the lesser number. If one number is x, then the other number is (40 – x).
((3x – 8)/2x) = 1
(5x/(2x – 1)) = 2
((2x – 3)/(4x + 5)) = (1/3)
(8/x) = (5/(x – 1))
[(5(1 – x)) + (3(1 + x))/ (1 – 2x)] = 8
((0.2x + 5)/ (3.5x – 3)) = (2/5)
[(y – (4 – 3y))/ (2y – (3 + 4y))] = 1/5
(x/5) = (x – 1)/6
0.4(3x –1) = 0.5x + 1
8x – 7 – 3x = 6x – 2x – 3
10x – 5 – 7x = 5x + 15 – 8
4t – 3 – (3t +1) = 5t – 4
5(x – 1) – 2(x + 8) = 0