Properties of Integers Using Literals

Q.

If $\left(3,-4\right)$ and $\left(-6,5\right)$ are the extremities of the diagonals of a parallelogram and $\left(-2,1\right)$ is its third vertex, then its fourth vertex is

1. (-1, 0)

2. (-1, 1)

3. (0, -1)

4. None of these

Q.

find one of the side of a square is representated by 4x-7 and the adjacent side is represented by 3x+5, find the value of x.

Q. 4x2-4x+6y-9y2

Q. Fill in the blank :
___ – 4 = – 7

Q.

$(4x^2+4x-3)=?$
(a) $(2x-1)(2x-3)$
(b) $(2x+1)(2x-3)$
(c) $(2x+3)(2x-1)$
(d) none of these

Q.

15x+7x-42-x=33-x-5+2x

Q.

x + (x + 1) is equal to ______ .

1. 2x + 2

2. x + 2

3. 2x + 1

4. x + 1

Q.

'(2.2 + 4.7) + 3.8' is same as '2.2 + (4.7 + 3.8)'

1. True

2. False

Q.

Find the value of the following expressions, when x = − 1:

(i) 2x − 7 (ii) − x + 2 (iii) x² + 2x + 1

(iv) 2x² − x − 2

Q. Prove '(2.2 + 4.7) + 3.8' is same as '2.2 + (4.7 + 3.8)'.

Q. X+5=15

Q.

x+2x+3x-355+211=1234

Find x

Q.
Similar number pattern is followed in both the stars. What is the value of $x$?

1. 4

Q. If same pattern is followed in the both the stars, then the value of 'a' is and the value of 'b' is .

1. $x-y$
2. $2x$
3. $x+y$
4. $2y$

Q.
Same number pattern is followed in both the stars. The value of $x$ is

1. 12

Q. 3^-1× X= 6^{-1
What is the value of x?}

Q.

3(x +2)-2(x-1)=7

Q. If 2x + 5 = 10 has become 2x - 5 = 10. write down the value of x in both cases?

Q. Find the product:

(x² − 5x + 8)(x² + 2)

Q.

( a - b ) - c is same as ______.

1. a - ( b - c )

2. a - ( b + c )

3. a + ( b - c )

4. a - b + c

Q. The value of is

(a) a

(b)

(c) −a

(d)

Q.

Q. Solve (29 - 7.2) - 0.8.

Q. If f (1) = 1, f' (1) = 2, then write the value of .

Q. A number was divided successively in order by 4, 5 and 6 The remainders were respectively 2, 3 and 4 Then find out the number

Q.

The area of a triangle is 5. Two of its vertices are $\left(2,1\right)$ and $\left(3,-2\right)$. The third vertex lies on $y=x+3$. Find the third vertex.

Q.

(a)

(b)

(c)

(d)