Test Details

Algebraic Expressions, Identities and Factorisation - NCERT

Feb 20, 4:55 PM

60 minutes

Feb 20, 5:55 PM

100.0 marks

MCQ

50 questions

Ravi shankar pandey sir

B.tech (IIT Dhanbad). ex faculty of Allen, Rao, fiitjee.

Class Details

Maths

8th

Maths

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Question Text

Question 5 :
Simplify: $(1.5x – 4y)(1.5x + 4y + 3) – 4.5x + 12y$

Question 6 :
Use a suitable identity to get the product: $(2a – 7) (2a – 7)$

Question 7 :
Find the area of a rectangle whose length and breadth are $2l^{2}m$ and $3lm^{2}$ respectively.

Question 11 :
Find the product of the pair of monomials : $4, 7p$

Question 12 :
What will be the product of first monomial $7x^2y$ and second monomial $-9x^2y^2$ ?

Question 16 :
Using $(x + a) (x + b) = x^2 + (a + b) x + ab$, find: 103 × 98

Question 17 :
Find the product of the pair of monomials : $-4p , 7pq$

Question 21 :
Find the area of rectangle with the following pair of monomials as their length and breadth respectively : $(p, q)$

Question 22 :
Multiply: $(a^2 + 2b^2 ) \ and \ (5a – 3b)$

Question 23 :
Subtract $4p^2q – 3pq + 5pq^2 – 8p + 7q – 10$ from $18 – 3p – 11q + 5pq – 2pq^2 + 5p^2q$

Question 25 :
Using $(x + a) (x + b) = x^2 + (a + b) x + ab$, find: 103 × 104

Question 27 :
State true or false: $(a – b) (a – b) (a – b) = a^3 + 3a^2b + 3ab^2 – b^3$

Question 28 :
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 33 :
Use a suitable identity to get the following product : $(2y+5)(2y+5)$

Question 34 :
Using the Identity (III) : $(a+b)(a-b) = a^2 - b^2$ ,find $(\frac{3}{2}m + \frac{2}{3}n)(\frac{3}{2}m - \frac{2}{3}n)$

Question 35 :
Carry out the multiplication of the expression : $a + b, 7a^2b^2$

Question 36 :
Find the area of rectangle with the following pair of monomials as their length and breadth respectively : (p, q)

Question 40 :
Simplify: $(x + y)(2x + y) + (x + 2y)(x – y)$

Question 41 :
What is the result of the following divisions? $(9x^2 – 4) ÷ (3x + 2)$

Question 43 :
Use the identities to find the product of $(2a^2 + 9) (2a^2 + 5)$

Question 44 :
Add the expression: $l^2 + m^2$ , $m^2 + n^2$ , $n^2 + l^2$ , $2lm + 2mn + 2nl$

Question 45 :
Obtain the volume of rectangular box with the following length, breadth and height respectively : a, 2b, 3c

Question 46 :
Find the area of a rectangle whose length and breadth are 3x and 5y respectively.

Question 47 :
State true or false. In general, any expression containing one or more terms with non zero coefficients (and with variables having non-negative exponents) is called a polynomial.

Question 48 :
Which of the following is(are) binomial(s) with x and y as a variable?

Question 49 :
Find the area of rectangle with the following pair of monomials as their length and breadth respectively : (3mn,4np)

Question 50 :
Find the product of : $(a^2 ) × (2a^{22}) × (4a^{26})$

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