Assignment Details

Algebraic Expressions, Identities and Factorisation

1462 minutes

Feb 22, 4:38 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 :
If $a^2 + b^2$ = 74 and ab = 35, then find a + b.

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

Question 3 :
Using the Identity (III) - $(a+b)(a-b) = a^2 - b^2$ ,find $194 \times 206$

Question 5 :
Carry out the multiplication of the expression : $a + b, 7a^2b^2$

Question 6 :
Multiply the binomials: $(2pq + 3q^2 ) \ and \ (3pq – 2q^2 )$

Question 7 :
Multiply the binomials: $(y – 8) \ and \ (3y – 4)$

Question 8 :
Use a suitable identity to get the product: $ (a^2 + b^2 ) (– a^2 + b^2 )$

Question 9 :
Obtain the volume of rectangular box with the following length, breadth and height respectively : 5a, $3a^2$, $7a^4$

Question 10 :
State true or false: (ab + bc) (ab – bc) + (bc + ca) (bc – ca) + (ca + ab) (ca – ab) = 0

Question 11 :
In general, any expression containing one or more terms with non-zero coefficients (and with variables having non- negative integers as exponents) is called a polynomial.Is it TRUE or FALSE?

Question 16 :
Using $a^2 - b^2 = (a + b)(a - b)$, find: $12.1^2 – 7.9^2$

Question 23 :
Multiply the binomials: $(a + 3b) \ and \ (x + 5)$

Question 24 :
Find the volume of rectangular box whose length, breadth and height are $m^{2}n$, $n^{2}p$ and $p^{2}m$ respectively.

Question 25 :
State true or false: -z + 5 and ab - ac are binomials.

Question 28 :
Check if the following is true or false: $2ax^2 + 4axy + 3bx^2 + 2ay^2 + 6bxy + 3by^2=(2x+3)(6b+xy)$

Question 30 :
State true or false: $8mn^2$ and $5n^2m$ are like terms, which are like $4mn^2$

Question 39 :
Use a suitable identity to get the product: $(x + 3) (x + 3)$

Question 41 :
Find the volume of rectangular box whose length, breadth and height are 2ax, 3by and 5cz respectively.

Question 42 :
Add the expression: $2p^2q^2 – 3pq + 4$, $5 + 7pq – 3p^2q^2$

Question 44 :
What will be the product of first monomial $2x$ and second monomial $-5y$ ?

Question 49 :
State true or false. Algebraic expressions are formed by the product of variables and constants.

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