Test Details

Algebraic Expressions And Identities

Solve the given Questions or prepare for the examination

Feb 23, 2:00 PM

100 minutes

Feb 23, 3:40 PM

100.0 marks

MCQ

50 questions

KAMAL CHANDRA KAUSHAL

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Class Details

Maths

Computer

Class 8th

Maths

Computer

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Question Text

Question 1 :
Using the Identity (II) : $(a-b)^2 = a^2 + b^2 - 2ab$ ,find $(4p - 3q)^2$

Question 3 :
If a + b = 25 and $a^2 + b^2= 225$ then find ab.

Question 6 :
Obtain the product of the following pair of monomials : 4, 7p

Question 8 :
Is $(9p – 5q)^2 + 180pq = (9p + 5q)^2$ ?

Question 9 :
Is $(3x + 7)^2 – 84x = (3x – 7)^2$ ?

Question 12 :
$a (a^2 + a + 1) + 5$ ,find its value for a = -1.

Question 13 :
Carry out the multiplication of the expression : $4p, q + r$

Question 14 :
An expression containing, one or more terms with non-zero coefficient (with variables having non negative integers as exponents) is called a __________.

Question 15 :
If p + q = 12 and pq = 22, then find $p^2 + q^2$

Question 16 :
Obtain the product of the following pair of monomials : 4p, 0

Question 17 :
What will be the product of first expression 'a' and second expression 'b+c+d' ?

Question 19 :
Using $(x + a) (x + b) = x^2 + (a + b) x + ab$, find: 103 × 98

Question 23 :
Use a suitable identity to get the product : $(2y + 5) (2y + 5)$

Question 25 :
<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 C given in the above figure ?

Question 26 :
Which of the following is(are) binomial(s) with only x as a variable?

Question 28 :
Obtain the volume of rectangular box with the following length, breadth and height respectively: $a, 2b, 3c$

Question 32 :
Subtract $4p^2q – 3pq + 5pq^2 – 8p + 7q – 10$ from $18 – 3p – 11q + 5pq – 2pq^2 + 5p^2q$

Question 34 :
What is the result of the following divisions? $(3x^2 – 48) ÷ (x – 4)$

Question 37 :
Find the area of a rectangle whose length and breadth are 9y and $4y^{2}$ respectively.

Question 39 :
What will be the product of first expression 'p' and second expression '$6p^2-7p+5$' ?

Question 40 :
Subtract $5x^2 – 4y^2 + 6y – 3$ from $7x^2 – 4xy + 8y^2 + 5x – 3y$

Question 41 :
Use a suitable identity to get the following product : $(x+3)(x+3)$

Question 42 :
State true or false: $(m + n) (m^2 – mn + n^2) = m^3 + n^3$

Question 43 :
Use a suitable identity to get the product: $(\frac{x}{2} + \frac{3y}{4})$ $(\frac{x}{2} + \frac{3y}{4})$

Question 44 :
Use a suitable identity to get the product: $(6x – 7) (6x + 7)$

Question 45 :
What is the cofficient of the term $-20$ in the expression $x^2y^2 -10x^2y +5xy^2-20$?

Question 46 :
Use a suitable identity to get the product: $(3a –\frac{1}{2} ) (3a – \frac{1}{2})$

Question 47 :
What should be added to 4c (– a + b + c) to obtain 3a (a + b + c) – 2b(a – b + c)?

Question 50 :
Use a suitable identity to get the product: $(2a – 7) (2a – 7)$

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