Question 2 :
Find the product of : $(a^2 ) × (2a^{22}) × (4a^{26})$
Question 3 :
Use the identities to find the product of $(4x + 5) (4x + 1)$
Question 5 :
Which of the following options is not a like term with $4mn^2$ ?
Question 6 :
State true or false: 4l and -7l are like terms, which are like 2l.
Question 7 :
State true or false. Multiplication of two algebraic expressions is again an algebraic expression.
Question 8 :
Using the Identity (II) : $(a-b)^2 = a^2 + b^2 - 2ab$ ,find $(4p - 3q)^2$
Question 9 :
The coefficient in the term $–5x$ is –5.Is it TRUE or FALSE?
Question 10 :
Which of the following options is not a like term with $2l$ ?
Question 11 :
Multiply the binomials: $(2pq + 3q^2 ) \ and \ (3pq – 2q^2 )$
Question 12 :
Add the expression: $l^2 + m^2$ , $m^2 + n^2$ , $n^2 + l^2$ , $2lm + 2mn + 2nl$
Question 13 :
What should be added to 4c (– a + b + c) to obtain 3a (a + b + c) – 2b(a – b + c)?
Question 14 :
Multiply the binomials: $(\frac{3}{4}a^2 + 3b^2 ) \ and \ 4(a^2 – \frac{2}{3}b^2 )$
Question 16 :
Subtract: $3l (l – 4 m + 5 n) \ from \ 4l ( 10 n – 3 m + 2 l )$
Question 17 :
How many terms are there in the expression $\frac{x}{2} +\frac{y}{2} − xy$ ?
Question 21 :
Obtain the volume of rectangular box with the following length, breadth and height respectively : a, 2b, 3c
Question 22 :
What will be the product of first expression 'a' and second expression 'b+c+d' ?
Question 23 :
What is the cofficient of the term $x^2y^2$ in the expression $x^2y^2 -10x^2y +5xy^2-20$?
Question 24 :
How many polynomials are there in the list which are neither monomial nor binomial or trinomial? $x + y$, $1000$, $x + x^2 + x^3 + x^4$, $7 + y + 5x$, $2y – 3y^2$, $2y – 3y^2 + 4y^3$, $5x – 4y + 3xy$, $4z – 15z^2$, $ab + bc + cd + da$, $pqr$, $p^2q + pq^2$, $2p + 2q$
Question 25 :
Use the identities to find the product of $(4x – 5) (4x – 1)$
Question 26 :
Multiply the binomials: $(y – 8) \ and \ (3y – 4)$
Question 27 :
What is the result of the following divisions? $(3x^4 – 1875) ÷ (3x^2 – 75)$
Question 28 :
What is the result of the following divisions? $(2x^3 – 12x^2 + 16x) ÷ (x – 2) (x – 4)$
Question 30 :
Find the value of a, if $pq^2a = (4pq + 3q)^2 – (4pq – 3q)^2$
Question 31 :
Use the Identity $(x + a) (x + b) = x^2 + (a + b) x + ab$ to find 95 × 103
Question 38 :
Using the Identity (I) : $(a+b)^2 = a^2 + b^2 + 2ab$ ,find $(2x + 3y)^2$
Question 39 :
The curved surface area of a cylinder is $2\pi(y^2−7y+12)$ and its radius is (y – 3). Find the height of the cylinder.
Question 40 :
Which of the following examples of expressions contain one variable ?
Question 42 :
In carrying out the multiplication of a polynomial by a binomial (or trinomial), we multiply term by term.Is it TRUE or FALSE?
Question 43 :
Find the area of rectangle with the following pair of monomials as their length and breadth respectively : $(10m , 5n)$
Question 45 :
Subtract: $3a (a + b + c ) – 2 b (a – b + c) \ from \ 4c ( – a + b + c )$
Question 47 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1acd78c526e972caf062.PNG' />
Which of the following options represent the expression of point D given in the above figure ?
Question 48 :
Use a suitable identity to get the product: $(1.1m – 0.4) (1.1m + 0.4)$