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## Algebraic Expressions and Identities Class 8 MCQs Questions with Answers

Algebraic Expressions Class 8 MCQ Question 1.
The expression x + 3 is in
(a) one variable
(b) two variables
(c) no variable
(d) none of these.

Hint:
The only variable is x.

MCQ On Algebraic Expressions For Class 8 Question 2.
The expression 4xy + 7 is in
(a) one variable
(b) two variables
(c) no variable
(d) none of these.

Hint:
There are two variables x and y.

Class 8 Maths Chapter 9 MCQ Question 3.
The expression x + y + z is in
(a) one variable
(b) no variable
(c) three variables
(d) two variables.

Hint:
There are three variables x, y and z.

MCQ Of Algebraic Expressions Class 8 Question 4.
The value of 5x when x = 5 is
(a) 5
(b) 10
(c) 25
(d) -5.

Hint:
Value = 5 × 5 = 25.

Class 8 Algebraic Expressions MCQ Question 5.
The value of x² – 2x + 1 when x = 1 is
(a) 1
(b) 2
(c) -2
(d) 0.

Hint:
Value = (1)² – 2(1) + 1 = 0.

Algebraic Expressions And Identities Class 8 MCQ Question 6.
The value of x² + y² when x = 1, y = 2 is
(a) 1
(b)2
(c) 4
(d) 5.

Hint:
Value = (1)² + (2)² = 5.

Class 8 Maths Ch 9 MCQ Question 7.
The value of x² – 2yx + y² when x = 1, y = 2 is
(a) 1
(b) -1
(c) 2
(d) -2.

Hint:
Value = (1)² – 2(2)(1) + (2)² = 1.

MCQ Questions For Class 8 Maths Chapter 9 Question 8.
The value of x² – xy + y² when x = 0, y = 1 is
(a) 0
(b) -1
(c) 1
(d) none of these.

Hint:
Value = (0)² – (0)(1) + (1)² = 1.

Class 8 Maths Chapter 9 MCQ With Answers Question 9.
Which of the following is a monomial ?
(a) 4x²
(b) a + 6
(c) a + 6 + c
(d) a + b + c + d.

Hint:
4x² contains only one term.

Algebraic Expressions Class 8 MCQ With Answers Question 10.
Which of the following is a binomial ?
(a) 3xy
(b) 4l + 5m
(c) 2x + 3y – 5
(d) 4a – 7ab + 3b + 12.

Hint:
4l + 5m contains two terms.

Class 8 Maths Chapter 9 MCQ Online Test Question 11.
Which of the following is a trinomial ?
(а) -7z
(b) z² – 4y²
(c) x²y – xy² + y²
(d) 12a – 9ab + 5b – 3.

Answer: (c) x²y – xy² + y²
Hint:
x²y – xy² + y² contains three terms.

Algebraic Expressions MCQ Class 8 Question 12.
How many terms are there in the expression 5xy² ?
(a) 1
(b) 2
(c) 5
(d) 3.

Hint:
Only one term 5xy².

Class 8 Math Chapter 9 MCQ Question 13.
How many terms are there in the expression 5 – 3xy ?
(a) 1
(b) 2
(c) 3
(d) 5.

Hint:
5, -3xy.

MCQ On Algebraic Identities Class 8 Question 14.
How many terms are there in the expression 7x² + 5x – 5 ?
(a) 1
(b) 2
(c) 3
(d) 5.

Hint:
7x², 5x, -5.

MCQ Algebraic Expressions And Identities Class 8 Question 15.
How many terms are there in the expression 4a – lab + 3b + 12 ?
(a) 1
(b) 2
(c) 3
(d) 4.

Hint:
4a, -7ab, 3b, 12. Question 16.
How many terms are there in the expression 5xy + 9yz + 3zx + 5x – 4y ?
(a) 1
(b) 3
(c) 4
(d) 5.

Hint:
5xy, 9yz, 3zx, 5x, – 4y.

Question 17.
The coefficient in the term 7xy is
(a) 7
(b) 3
(c) 1
(d) 2.

Hint:
Coefficient = 7.

Question 18.
The coefficient in the term -5x is
(a) 5
(b) -5
(c) 1
(d) 2.

Hint:
Coefficient = -5.

Question 19.
The coefficient in the term 20 is
(a) 1
(b) 2
(c) 10
(d) 20.

Hint:
Coefficient = 20.

Question 20.
The coefficient in the term -20 is
(a) -1
(b) -2
(c) -10
(d) -20.

Hint:
Coefficient = -20.

Question 21.
The like terms of the following are
(a) x, 3x
(b) x, 2y
(c) 2y, 6xy
(d) 3x, 2y

Question 22.
The like terms of the following are
(a) 2x², 9x²
(b) y², xy
(c) xy, 9a²
(d) y², 9x²

Question 23.
The like terms of the following are
(a) ab, 9ba
(b) ab, -5b
(c) -5b, 9ba
(d) ab, -3a

Question 24.
The number of like terms in 9x³, 16x²y, -8x³, 12xy², 6x³ is
(a) 3
(b) 2
(c) 4
(d) 5.

Hint:
9x³, -8x³, 6x³.

Question 25.
The number of like terms in
abc, -abc, -bca, acb, bac, $$\frac{1}{2}$$cab is
(a) 6
(b) 4
(c) 3
(d) 2.

Hint:
All are like terms.

Question 26.
The number of like terms in
$$\frac{1}{4}$$a²bc, – $$\frac{2}{3}$$bca², $$\frac{2}{5}$$ ba²c, – $$\frac{1}{2}$$cba² is
(a) 4
(b) 3
(c) 2
(d) 6.

Hint:
All are like terms.

Question 27.
The coefficient of x²y in 7pqrx² is
(a) 7pqr
(b) pqr
(c) -7pqr
(d) 7

Question 28.
The coefficient of xy in xy is
(a) 1
(b) -1
(c) 2
(d) 3.

Hint:
xy = 1(xy).

Question 29.
The coefficient of x²y in -15 x²y is
(a) 15
(b) -15
(c) 3
(d) 5.

Question 30.
The coefficient of xy in 6x²y² is
(a) xy
(b) 2xy
(c) 3xy
(d) 6xy

Hint:
6x²y² = (6xy)(xy).

Question 31.
The coefficient of xy2z in -7x2y3z is
(a) -7xy
(b) 7xy
(c) -xy
(d) xy.

Hint:
-7x²y³z = (-7xy)(xy²z).

Question 32.
The sum of 7x, 10x and 12x is
(a) 17x
(b) 22x
(c) 19x
(d) 29x.

Hint:
Sum = (7 + 10 + 12) x = 29x.

Question 33.
The sum of 8pq and -17 pq is
(a) pq
(b) 9pq
(c) -9pq
(d) -pq.

Hint:
Sum = {8 + (-17)} pq = -9pq.

Question 34.
The sum of 5x², -7x², 8x², 11x² and -9x² is
(a) 2x²
(b) 4x²
(c) 6x²
(d) 8x².

Hint:
Sum = {5 + (-7) + 8 + 11 + (-9)} x² = 8x².

Question 35.
The sum of x² – y², y² – z² and z² – x² is
(a) 0
(b) 3x²
(c) 3y²
(d) 3z².

Hint:
Sum = (x² – y²) + (y² – z²) + (z² – x²) = 0.

Question 36.
What do you get when you subtract -3xy from 5xy?
(a) 3xy
(b) 5xy
(c) 8xy
(d) xy.

Hint:
5xy – (-3xy) = 5xy + 3xy = 8xy

Question 37.
The result of subtraction of 7x from 0 is
(a) 0
(b) 7x
(c) -7x
(d) x.

Hint:
0 – 7x = -7x.

Question 38.
The result of subtraction of 3x from -4x is
(a) -7x
(b) 7x
(c) x
(d) -x.

Hint:
-4x -3x = -7x.

Question 39.
The product of 4mn and 0 is
(a) 0
(b) 1
(c) mn
(d) 4 mn.

Hint:
(4 mn)(0) = 0.

Question 40.
The product of 5x and 2y is
(a) xy
(b) 2xy
(c) 5ay
(d) 10ay.

Hint:
(5x)(2y) = 10xy.

Question 41.
The product of 7x and -12x is
(a) 84x²
(b) -84x²
(c) x²
(d) -x².

Hint:
(7x) (-12x) = – 84x².

Question 42.
The area of a rectangle whose length and breadth are 9y and 4y² respectively is
(a) 4y³
(b) 9y³
(c) 36y³
(d) 13y³

Hint:
Area = (9y)(4y²) = 36y³.

Question 43.
The area of a rectangle with length 2l²m and breadth 3lm² is
(a) 6l³m³
(b) l³m³
(c) 2l³m³
(d) 4l³m³.

Hint:
Area = (2l²m)(3lm²) = 6l³m³.

Question 44.
The volume of a cube of side 2a is
(a) 4a²
(b) 2a
(c) 8a³
(d) 8.

Hint:
Volume = 2a × 2a × 2a = 8a³.

Question 45.
The volume of a cuboid of dimensions a, b, c is
(a) abc
(b) a²b²c²
(c) a³b³c³
(d) none of these.

Hint:
Volume = a × b × c = abc.

Question 46.
The product of x², – x³, – x4 is
(a) x9
(b) x5
(c) x7
(d) x6

Hint:
Product = (x²) (-x³)(-x4) = x9.

Question 47.
(x – y)(x + y) + (y – z)(y + z) + (z – x) (z + x) is equal to
(a) 0
(b) x² + y² + z²
(c) xy + yz + zx
(d) x + y + z.

Hint:
(x – y)(x + y) + (y – z)(y + z) + (z – x) (z + x) = x² – y² + y² – z² + z² – x² = 0.

Question 48.
(a + b)² is equal to
(a) a² + b² – 2ab
(b) a² + b² + 2ab
(c) a² + b²
(d) 2ab.

Answer: (b) a² + b² + 2ab
Hint:
(a + b)² = a² + b² + 2 ab.

Question 49.
(a – b)² is equal to
(a) a² + b² – 2ab
(b) a² + b² + 2ab
(c) a² + b²
(d) 2ab.

Answer: (a) a² + b² – 2ab
Hint:
(a – b)² = a² + b² – 2ab.

Question 50.
a² – b² is equal to
(a) 2ab
(b) -2ab
(c) (a + b) (a – b)
(d) ab

Answer: (c) (a + b) (a – b)
Hint:
a² – b² = (a + b) (a – b).

Question 51.
An algebraic expression that contains only one term is called:
(a) Monomial
(b) Binomial
(c) Trinomial
(d) None of the above

Hint:
2x is a monomial

Question 52.
5x + 6y is a:
(a) A. Monomial
(b) Binomial
(c) Trinomial
(d) None of the above

Hint:
The expression containing two terms is called binomial.

Question 53.
The algebraic expression 3x + 2y + 6 is
(a) monomial
(b) Binomial
(c) Trinomial
(d) None of the above

Hint:
The algebraic expression containing three terms is called a trinomial. Here, 3x, 2y and 6 are three terms.

Question 54.
A polynomial contains _______ number of terms:
(a) One
(b) Two
(c) Three
(d) Any

Hint:
A polynomial can contain any number of terms, one or more than one.

Question 55.
If we add, 7xy + 5yz – 3zx, 4yz + 9zx – 4y and -3xz + 5x – 2xy, then the answer is:
(a) 5xy + 9yz + 3zx + 5x – 4y
(b) 5xy – 9yz + 3zx – 5x – 4y
(c) 5xy + 10yz + 3zx + 15x – 4y
(d) 5xy + 10yz + 3zx + 5x – 6y

Answer: (a) 5xy + 9yz + 3zx + 5x – 4y
Hint:
Given, 7xy + 5yz – 3zx, 4yz + 9zx – 4y and -3xz + 5x – 2xy.
If we add the three expressions, then we need to combine the like terms together.
(7xy – 2xy)+(5yz + 4yz) – 3zx + 9zx – 3xz – 4y + 5x
5y + 9yz + 3zx + 5x – 4y

Question 56.
If we subtract 4a – 7ab + 3b + 12 from 12a – 9ab + 5b – 3, then the answer is:
(a) 8a + 2ab + 2b + 15
(b) 8a + 2ab + 2b – 15
(c) 8a – 2ab + 2b – 15
(d) 8a – 2ab – 2b – 15

Answer: (c) 8a – 2ab + 2b – 15
Hint:
(12a – 9ab + 5b – 3) – (4a – 7ab + 3b + 12)
= 12a – 9ab + 5b – 3 – 4a + 7ab – 3b – 12
= (12 – 4)a – (9 – 7)ab + (5 – 3)b – 3 – 12
= 8a – 2ab + 2b – 15 Question 57.
If we multiply 5x and (-4xyz), then we get:
(a) 20x2yz
(b) -20x2yz
(c) x2yz
(d) -2xyz

Hint:
(5x) x (-4xyz)
= 5 × x × (-4) × x × y × z
= -20x1+1yz
= -20x2yz

Question 58.
The product of 4x and 0 is:
(a) 4x
(b) 4
(c) 0
(d) None of the above

Hint:
Anything multiplied by zero is zero.

Question 59.
The volume of a rectangle with length, breadth and height as 5x, 3x2 and 7x4 respectively is:
(a) 105x7
(b) 105x2
(c) 105x4
(d) 105x

Hint:
Volume of rectangle = Length × breadth × height
V = 5x × 3x2 × 7x4
V = 105 x1+2+4
V = 105x7 cubic unit.

Question 60.
In which of the following, the two expressions are like terms ?
(a) 7x and 7y
(b) 7x and 9x
(c) 7x and 7x2
(d) 7x and 7xy