Test: Algebraic Expressions And Identities- 2 - Class 8 MCQ

Yes 3 as the terms are 2x² ,3x, 5

Since the expression 2x+3y+7z cannot be added as they have different variables so the coefficient of y is 3 only.

• The expression y + z + 100 consists of three distinct terms: y, z, and 100.
• A monomial has only one term, while a binomial has two terms.
• Since there are three terms in this expression, it is classified as a trinomial.
• Therefore, the correct answer is option 4: trinomial.

Factors of 22xy are 2*11*x*y, so common factors are 2y.

Take out the common factor, which is 7a.

ab-bc+bc-ca+ca-ab=0, because we have ab-ab,bc-bc,ca-ca all equal to zero.

3xy+z contains two terms clearly , so it is binomial
whereas in 3xyz it is monomial
3x+y+z contains 3 term so it is trinomial
3+x+y+z contains 4 terms so it quadrinomial.

initial area = xy

after increaasing length by 5 units and breadth is decreased by 3 units

new length = x+5

new breadth = y-3

new area = (x+5)(y-3)

Like terms consist of same variables with same powers.

Correct answer is C. 2

The product of  -4p × 7p = (- 4×7)p² = - 28p²

- When multiplying any expression by zero, the result is always zero.
- Thus, the product of pq+qr+rp and ‘zero’ is 0.

Answer: D: 0

3a(4a-5)+3 for a = 3
3x3 (4x3 - 5 ) + 3
9 x (12 - 5) + 3
9 x 7 + 3
63 + 3
66

length = 2p
breadth =4q
height =8r
Volume = length x breadth x height
=2p x 4q x 8r
=64pqr
Answer : 64pqr

Using (a - b)² 
(4p - 3q)² 
= 16p² - 24pq + 9q²

9x(x+b)+a(x+b)

=9x² + 9bx+ax+ab

=9x²+x(9b+a)+ab

A binomial is an algebraic expression that contains exactly two terms. Let's analyze each option to determine if it is a binomial:

1. m+nm + nm+n

   • This is a binomial because it consists of two terms: mmm and nnn.

2. mnmnmn

   • This is not a binomial because it consists of only one term: mnmnmn.

3. m−nm - nm−n

   • This is a binomial because it consists of two terms: mmm and nnn.

4. m2−n2m^2 - n^2m2−n2

   • This is a binomial because it consists of two terms: m2m^2m2 and n2n^2n2.

Therefore, the correct answer is:

2. mn

-x + y - (7x + y)

= -8x

To evaluate (m - 3)(m - 2), we use the identity for multiplying two binomials, which is:
(x - a)(x - b) = x² - (a + b)x + ab
- In this case:
a = 3
b = 2
x = m
 

99 can be written as 100-1

99² = (100 -1)² = 100² + 1 -200

= 10000 + 1 -200

= 9801