Question 1 :
Use the identities to find the product of $(4x – 5) (4x – 1)$
Question 4 :
$a (a^2 + a + 1) + 5$ ,find its value for a = -1.
Question 5 :
State true or false. Expressions that contain exactly three terms is called trinomials.
Question 7 :
Find the value of a, if $pq^2a = (4pq + 3q)^2 – (4pq – 3q)^2$
Question 8 :
What is the result of the following divisions? $(9x^2 – 4) ÷ (3x + 2)$
Question 9 :
Simplify the expression and evaluate: $3y (2y – 7) – 3 (y – 4) – 63$ for y = -2.
Question 13 :
What will be the product of first monomial $2x$ and second monomial $7x^2y$ ?
Question 14 :
What will be the product of first monomial $-5y$ and second monomial $-5y$ ?
Question 17 :
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 18 :
State true or false. $(3x + 3x^2) ÷ 3x = 3x^2$
Question 19 :
Use a suitable identity to get the following product : $\left(a^2+b^2\right)\left(-a^2+b^2\right)$
Question 20 :
What will be the product of first monomial $-5y$ and second monomial $7x^2y$ ?
Question 21 :
Find the product of the pair of monomials : $4p , 0$
Question 22 :
Multiply the binomials: $(y – 8) \ and \ (3y – 4)$
Question 23 :
Which of the following options is not a like term with $4mn^2$ ?
Question 27 :
Add the expression: $ab – bc$, $bc – ca$, $ca – ab$
Question 32 :
Find the product of : $(a^2 ) × (2a^{22}) × (4a^{26})$
Question 33 :
What will be the product of first monomial $7x^2y$ and second monomial $-9x^2y^2$ ?
Question 34 :
Look at the given expressions: $7x$, $14x$, $–13x$, $5x^2$ , $7y$, $7xy$, $–9y^2$ , $–9x^2$ , $–5yx$ .How many sets of like terms are there in the list ?
Question 36 :
Dividing 15 (y + 3) ($y^2$ – 16) by 5 ($y^2$ – y – 12) .
Question 37 :
Subtract $5x^2 – 4y^2 + 6y – 3$ from $7x^2 – 4xy + 8y^2 + 5x – 3y$
Question 40 :
Find the product of : $x \times x^2 \times x^3 \times x^4$