Addition and ...

Addition and Subtraction of Algebraic Expression

Trending Questions

When $7 x y + 5 y z - 3 z x,$ $4 y z + 9 z x - 4 y$ and $- 3 x z + 5 x - 2 x y$ are added, we get ___.

$5 x y + 9 y z + 15 z x + 5 x - 4 y$
$5 x y + 9 y z + 3 z x + 5 x - 4 y$
$5 x y + 9 y z - 3 z x + 5 x - 4 y$
$5 x y + 9 y z + 3 z x - 5 x - 4 y$

Q. If

A = 9 x y + 4 y z - 4 z x, B = 5 y z + 10 z x - 4 x y, C = - 3 x z

then

A + B + C

is:

$5 x y + 9 y z + 3 z x$
$5 x y - 9 y z + 3 z x$
$5 x y - 6 y z + 3 z x$
$5 x y + 6 y z + 3 z x$

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Q. Subtract

(8 - 6 x + x^{2} - 7 x^{3} + x^{5})

from

(x^{4} - 6 x^{3} + x^{2} - 3 x + 1)

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Q. Find the sum of the following expressions:
(i) (7p+6q) and (5p-q) and (q+16p)
(ii) (a+5b+7c) and (2a+10b+9c)

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Q. Find the value of

A + B + C

if :

A = (7 x y + 5 y z - 3 z x)

B = (4 y z + 9 z x - 4 y)

C = (- 3 x z + 5 x - 2 x y)

[3 M a r k s]

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Which of the following pairs is a like term pair?

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Q. Subtract

(a - b)

from

(a + b)

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Q. If

A : B = 5 : 7

and

B : C = 6 : 11,

then

A : B : C

$55 : 77 : 66$
$30 : 42 : 77$
$35 : 49 : 42$
None of these

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Subtract: $4 p q - 5 q^{2} - 3 p^{2} from 5 p^{2} + 3 q^{2} - p q$
[2 marks]

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Q. Simplify:

\frac{1}{6} + \frac{- 2}{5} - \frac{- 2}{15}

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Q. The perimeter of a triangle is

14 a^{2} + 20 a + 13

two of its sides are

3 a^{2} + 5 a + 1

and

a^{2} + 10 a - 6

. Find its third side.

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Add:

(i) 3mn, − 5mn, 8mn, −4mn

(ii) t − 8tz, 3tz − z, z − t

(iii) − 7mn + 5, 12mn + 2, 9mn − 8, − 2mn − 3

(iv) a + b − 3, b − a + 3, a − b + 3

(v) 14x + 10y − 12xy − 13, 18 − 7x − 10y + 8xy, 4xy

(vi) 5m − 7n, 3n − 4m + 2, 2m − 3mn − 5

(vii) 4x²y, − 3xy², − 5xy², 5x²y

(viii) 3p²q² − 4pq + 5, − 10p²q², 15 + 9pq + 7p²q²

(ix) ab − 4a, 4b − ab, 4a − 4b

(x) x²− y² − 1 , y² − 1 − x², 1− x² − y²

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Q. A box containing blue and white balls has 29 balls, in total. If the number of white balls is 21, find the number of blue balls.

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Q. The perimeter of a triangle whose sides are

(2 y + 3 z), (z - y), (4 y - 2 z)

is?

$5 y + 2 z$
$10 y + 4 z$
$5 y - 2 z$
$- 5 y + 2 z$

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Q. Identify like terms in the following:

- x y^{2}

- 4 y x^{2}

8 x^{2}

2 x y^{2}

7 y

- 11 x^{2}

- 100 x

- 11 y x

20 x^{2} y

- 6 x^{2}

y

2 x y

3 x

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Q. Find the product of

(4 r^{2} - 5 r + 3)

and

(r^{2} + 3 r + 4)

$4 r^{4} + 12 r^{3} + 1 r^{2} - 11 r + 12$
$4 r^{4} + 7 r^{3} + 1 r^{2} - 11 r + 12$
$4 r^{4} + 7 r^{3} + 4 r^{2} - 11 r + 12$
$4 r^{4} + 12 r^{3} + 4 r^{2} - 11 r + 12$

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Q. A box containing blue and white balls has 29 balls, in total. If the number of white balls is 21, find the number of blue balls.

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Add: t – 8tz, 3tz – z, z – t

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Q. Let a, b, c be the three sides of a triangle and

f (x) = b^{2} x^{2} + (b^{2} + c^{2} - a^{2} x + c^{2})

then which of the following is /are CORRECT?

$f (x) > 0 < x ϵ R$
$f (1) > 0$
f(a+b+c)=0
$f (x) > 0 \forall x ϵ R$

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Q. The two adjacent sides of a rectangle are

5 x^{2} - 3 y^{2}

and

x^{2} + 2 x y

. Find the perimeter.

$12 x^{2} + 5 x y + 9 y^{2}$
$7 x^{2} - 3 y^{2} + 4 x y$
$12 x^{2} - 6 y^{2} + 4 x y$
$8 x^{2} - 8 y^{2} + 3 x y$

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Q. Find the perimeter of a rectangle whose two adjacent sides are

5 x^{2} + 2 x y - 13; 2 x^{2} - 6 x y + 11

$14 x^{2} - 8 x y - 4$
$4 x^{2} - 8 x y - 3$
$12 x^{2} - 8 x y - 4$
$x^{2} - 8 x y - 3$

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What is the value of 3x + (-3x)?

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