Question 7 :
Solve $\left[ \dfrac{7}{5}\times \left( \dfrac{-3}{12}\right) \right] +\left[ \dfrac{7}{5}\times \dfrac{5}{12}\right] $ using distributivity.
Question 8 :
Which rational number does not lie between $\frac{1}{4}$ and $\frac{1}{2}$ ?
Question 12 :
Carry out the multiplication of the expression : $ab, a – b$
Question 14 :
Subtract: $3a (a + b + c ) – 2 b (a – b + c) \ from \ 4c ( – a + b + c )$
Question 17 :
Use a suitable identity to get the product : $(2y + 5) (2y + 5)$
Question 19 :
Standard identities allow easy alternative methods to calculate products of numbers and so on.Is it TRUE or FALSE?
Question 21 :
Find the product of the pair of monomials : $4p , 0$
Question 23 :
What is the result of the following divisions? $(x^3 + x^2 – 132x) ÷ x (x – 11)$
Question 26 :
What is the result of the following divisions? $(9x^2 – 4) ÷ (3x + 2)$
Question 27 :
Find the volume of rectangular box whose length, breadth and height are 2ax, 3by and 5cz respectively.
Question 28 :
Use a suitable identity to get the product: $(2a – 7) (2a – 7)$
Question 29 :
Carry out the multiplication of the expression : $pq + qr + rp, 0$
Question 30 :
Use the identities to find the product of $(xyz – 4) (xyz – 2)$
Question 33 :
Obtain the volume of rectangular box with the following length, breadth and height respectively: $a, 2b, 3c$
Question 35 :
State true or false: $(a + b + c) (a^2 + b^2 + c^2 – ab – bc – ca) = a^3 + b^3+ c^3 – 3abc$
Question 36 :
State true or false. In the division of a polynomial by a monomial, we carry out the division by dividing each term of the polynomial by the monomial.
Question 37 :
How many monomials are there in the list? $x + y$, $1000$, $x + x^2 + x^3 + x^4$, $7 + y + 5x$, $2y – 3y^2$, $2y – 3y^2 + 4y^3$, $5x – 4y + 3xy$, $4z – 15z^2$, $ab + bc + cd + da$, $pqr$, $p^2q + pq^2$, $2p + 2q$
Question 38 :
Find the area of rectangle with the following pair of monomials as their length and breadth respectively : (p, q)
Question 40 :
State true or false: $(7p – 13q)^2 + 364pq = (7p + 13q)^2$