Test Details

Algebraic Expressions, Identities and Factorisation

Do it

Feb 11, 8:35 PM

120 minutes

Feb 12, 8:00 PM

100.0 marks

MCQ

50 questions

AMAN PRATAP SINGH

born to teach, live without food but can't live without teaching.

Class Details

Maths

Class 8

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Question Text

Question 1 :
Carry out the multiplication of the expression : $a + b, 7a^2b^2$

Question 2 :
Use a suitable identity to get the product : $(2y + 5) (2y + 5)$

Question 3 :
If p + q = 12 and pq = 22, then find $p^2 + q^2$

Question 7 :
State true or false. A monomial multiplied by a monomial always gives a monomial.

Question 9 :
What will be the product of first monomial $-4xy$ and second monomial $-9x^2y^2$ ?

Question 11 :
What is the cofficient of the term $x^2y^2$ in the expression $x^2y^2 -10x^2y +5xy^2-20$?

Question 13 :
State true or false. Common factor of $x^2y$ and $– xy^2$ is xy.

Question 16 :
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 :
What is the result of the following divisions? $(3x^2 – 48) ÷ (x – 4)$

Question 19 :
Evaluate the value of : $3p \times (4p^2 + 5p + 7)$

Question 20 :
Is $(9p – 5q)^2 + 180pq = (9p + 5q)^2$ ?

Question 21 :
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 24 :
Use the identities to find the product of $(4x + 5) (4x – 1)$

Question 25 :
State true or false. The factorisation done by using the distributive law (property) is called the common factor method of factorisation.

Question 27 :
What will be the product of first expression '$4p^2q^2$' and second expression '$p^2-q^2$' ?

Question 30 :
Use a suitable identity to get the product: $ (a^2 + b^2 ) (– a^2 + b^2 )$

Question 32 :
State true or false. In the division of a polynomial by a polynomial, we factorise both the polynomials and cancel their common factors.

Question 34 :
Use a suitable identity to get the following product : $(2y+5)(2y+5)$

Question 35 :
State true or false. A factor which occurs in each term is called the common factor.

Question 36 :
Find the value of a, if $pqa = (3p + q)^2 – (3p – q)^2$

Question 39 :
Find the product of the pair of monomials : $4p^3 , -3p$

Question 41 :
State true or false: 3xy and 5yx are like terms, which are like 7xy.

Question 42 :
Is $(3x + 7)^2 – 84x = (3x – 7)^2$ ?

Question 43 :
State true or false. An irreducible factor is a factor which cannot be expressed further as a product of factors.

Question 44 :
How many terms are there in the expression $x^2 y^2 – 10x^2 y + 5xy^2 – 20$ ?

Question 46 :
Find the area of a rectangle whose length and breadth are 9y and $4y^{2}$ respectively.

Question 47 :
State true or false. Expressions that contain exactly three terms is called trinomials.

Question 49 :
Use a suitable identity to get the product: $(3a –\frac{1}{2} ) (3a – \frac{1}{2})$

Question 50 :
State true or false: $(a + b) (a + b) (a + b) = a^3 + 3a^2b + 3ab^2 + b^3$

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