Which is the like term as 36 abc²?

1

(a)

\(2\times18\times a\times a \times b \times c \times\)

(b)

\(3\times13\times a \times b \times c \times c \times c\)

(c)

\(3 \times17\times a\times c \times b \times c\)

(d)

\(4 \times 5 \times b \times c \times c \times a \times a\)

Product of the monomials, -15p, -13q², pq is

1

(a)

-165p²q³

(b)

195p²q³

(c)

195p³q²

(d)

-195p³q²

What kind of polynomial is p q r?

1

(a)

monomial

(b)

binomial

(c)

trimonial

(d)

none of these

Which of the following is the value of 5x²⁵-3x³²+2x-12 at x =1 ?

1

(a)

0

(b)

2

(c)

4

(d)

none of these

The expression 4xy + 7 is in

1

(a)

one variable

(b)

two variables

(c)

no variable

(d)

none of these

Which of the following is a monomial?

1

(a)

4x²

(b)

a + b

(c)

a+b+c

(d)

a+b+c+d.

How many terms are there In the expression 4a - 7ab + 3b + 12?

1

(a)

1

(b)

2

(c)

3

(d)

4

The like terms of the following are

1

(a)

2x², 9x²

(b)

y², xy

(c)

xy, 9x²

(d)

y², 9x²

The coefficient of x²y in -15 x²y is

1

(a)

15

(b)

-15

(c)

3

(d)

5

The result of subtraction of 3x from -4x is

1

(a)

-7x

(b)

7x

(c)

x

(d)

-x

The product of x², - x³, - x⁴ is

1

(a)

x⁹

(b)

x⁵

(c)

x⁷

(d)

x⁶

The product of two terms with like signs is a__________term

1

(a)

(-a)\(\times \)(-a)²=a3 and (ab)\(\times \)(b²)=ab³​​​​​​​

Like term as 15a³b² is 25a³b²c.

1

(a) True

(b) False

Find the value of \({ x }^{ 2 }-\frac { 1 }{ 5 } \) at x= -1

1

(a)

\(\frac { 4 }{ 5 } \)

Why are 7x and 5x² not like?

1

(a)

7x and 5x² are not like because they have different powers of the variable x.

Add 7x² - 4x+ 5, -3X² + 2x- 1and 5x² - x+ 9.

2

(a)

Find the product of the following pairs of monomials.
-4p,7-pq

2

(a)

Find the value of the product
\(\left( -2{ a }^{ 2 }b \right) \times \left( -\frac { 2 }{ 3 } ab \right) \times 3for\ a=2and\ b=\frac { 1 }{ 2 } \)

2

(a)

Multiply:(x+ 2y)and (3x- 5x)

2

(a)

Expand the following:
\(\left( \frac { 2x }{ 3 } +\frac { 2 }{ 3 } \right) \left( \frac { 2x }{ 3 } +\frac { 2a }{ 3 } \right) \)

2

(a)

Subtract 4a - 7ab + 3b + 12 from 12a- 9ab+ 5b- 3.

3

(a)

Subtract -3p2+3pq+3px from 3p(-p-a-r)

3

(a)

Solve \(\left( \frac { 3 }{ 4 } x+\frac { 4 }{ 3 } y \right) \times \left( \frac { 3 }{ 4 } x+\frac { 3 }{ 4 } z \right) \)

3

(a)

Multiply (x - xy - x²y) by (y - xy - y²x).

3

(a)

Complete the table for area of a rectangle with given length and breadth

	Length	Breadth	Area
(i)	3x	5y	___
(ii)	9y	4y2	___
(iii)	4ab	5bc	___
(iv)	2l2m	3lm	___

3

(a)

Simplify each of the following expressions.
\(\frac { 1 }{ 2 } { a }^{ 2 }\left( { a }^{ 2 }-2 \right) +\frac { 1 }{ 4 } { a }^{ 2 }\left( 2a+{ a }^{ 2 } \right) -\frac { 3 }{ 8 } a\left( a+1 \right) \)

5

(a)

One day, Sahil went to playa cricket tournament (organised in a sports complex) along with his two friends Rahul and Sunil. Someone stole Sahil's bicycle but Rahul and Sunil helped him to buy a new one bicycle contributing rs(2x +80) and rs (8x + 20), respectively, If the bicycle costs rs. 2100,
(a) what were the amount given by Rahul and Sunil to Sahil?
(b) what are the values depicted by Rahul and Sunil here?

5

(a)