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Assertion and Reason Questions Class 8 Maths Chapter 9 Algebraic Expressions and Identities
1.) Assertion (A) –The expression x + 3 is in one variable
Reasons (R) –The expression (n+3) represents the measure of an exterior angle of a regular octadecagon
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
2.) Assertion (A) –The expression 4xy + 7 is in two variables
Reasons (R) –There are two variables x and y.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
3.) Assertion (A) –The expression x + y + z is inthree variables
Reasons (R) –There are three variables x, y and z.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
Assertion (A) –The value of 5x when x = 5 is 5
Reasons (R) –a numerical coefficient is defined as a fixed number that is multiplied to a variable.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
5.) Assertion (A) –The value of x² – 2x + 1 when x = 1 is 0
Reasons (R) –a numerical coefficient is defined as a fixed number that is multiplied to a variable
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
6.) Assertion (A) –The value of x² + y² when x = 1, y = 2 is 5.
Reasons (R) –a numerical coefficient is defined as a fixed number that is multiplied to a variable
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
7.) Assertion (A) –The value of x² – 2yx + y² when x = 1, y = 2 is 1
Reasons (R) –a numerical coefficient is defined as a fixed number that is multiplied to a variable
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
8.) Assertion (A) –The value of x² – xy + y² when x = 0, y = 1 is -1
Reasons (R) –a numerical coefficient is defined as a fixed number that is multiplied to a variable
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
9.) Assertion (A) –4 is a monomial
Reasons (R) –A monomial is an expression of the form k⋅xⁿ, where k is a real number and n is a positive integer.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
10.) Assertion (A) –2x + 3y – 5 is a binomial
Reasons (R) –A binomial is an algebraic expression that has two non-zero terms
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
11.) Assertion (A) –12a – 9ab + 5b – 3 is a trinomial
Reasons (R) –A trinomial is an algebraic expression that has three non-zero terms
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
12.) Assertion (A) –1 term is there in the expression 5xy²
Reasons (R) –An algebraic expression consists of a group of terms separated by operators, which are either plus signs or minus signs
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
13.) Assertion (A) –3 terms are there in the expression 5 – 3xy
Reasons (R) –An algebraic expression consists of a group of terms separated by operators, which are either plus signs or minus signs
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
14.) Assertion (A) –5 terms are there in the expression 7x² + 5x – 5
Reasons (R) –An algebraic expression consists of a group of terms separated by operators, which are either plus signs or minus signs
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
15.) Assertion (A) –4 terms are there in the expression 4a – lab + 3b + 12
Reasons (R) –An algebraic expression consists of a group of terms separated by operators, which are either plus signs or minus signs
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
16.) Assertion (A) –5 terms are there in the expression 5xy + 9yz + 3zx + 5x – 4y
Reasons (R) –An algebraic expression consists of a group of terms separated by operators, which are either plus signs or minus signs
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
17.) Assertion (A) –The coefficient in the term 7xy is 7
Reasons (R) –A coefficient is a number multiplied by a variable
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
18.) Assertion (A) –The coefficient in the term -5x is 5
Reasons (R) –A coefficient is a number multiplied by a variable
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
19.) Assertion (A) –The coefficient in the term 20xyz is 20
Reasons (R) –A coefficient is a number multiplied by a variable
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
20.) Assertion (A) –The coefficient in the term -20bc is 20.
Reasons (R) –A coefficient is a number multiplied by a variable
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
21.) Assertion (A) –The like terms are x, 3x.
Reasons (R) –like terms are terms that have the same variables and powers
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
22.) Assertion (A) –The like terms are 2x², 9x².
Reasons (R) –like terms are terms that have the same variables and powers
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
23.) Assertion (A) –The like terms are ab, -5b
Reasons (R) –like terms are terms that have the same variables and powers
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
24.) Assertion (A) –The number of like terms in 9x³, 16x²y, -8x³, 12xy², 6x³ is 3
Reasons (R) –like terms are terms that have the same variables and powers
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
25.) Assertion (A) –The number of like terms in abc, -abc, -bca, acb, bac, 12cab is 4
Reasons (R) –like terms are terms that have the same variables and powers
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
26.) Assertion (A) –The number of like terms in 14a²bc, – 23bca², 25 ba²c, – 12cba² is 2.
Reasons (R) –like terms are terms that have the same variables and powers
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
27.) Assertion (A) –The coefficient of x²y in 7pqrx² is 7pqr
Reasons (R) –A coefficient is a number multiplied by a variable
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
28.) Assertion (A) –The coefficient of xy in xy is 1
Reasons (R) –A coefficient is a number multiplied by a variable
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
29.) Assertion (A) –The coefficient of x²y in -15 x²y is 15
Reasons (R) –A coefficient is a number multiplied by a variable
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
30.) Assertion (A) –The coefficient of xy in 6x²y² is 3xy
Reasons (R) –A coefficient is a number multiplied by a variable
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
Answers:
1:b 2:a 3:a 4:d 5:a 6:a
7:a 8:d 9:a 10:d 11:d 12:a
13:d 14:d 15:a 16:a 17:a 18:d
19:a 20:d 21:a 22:a 23:d 24:a
25:d 26:d 27:a 28:a 29:d 30:d