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NCERT Class 8 Mathematics MCQ
Algebraic Expressions And Identities
with Answers
Question :The expression x + 3 is in
(a) one variable
(b) two variables
(c) no variable
(d) none of these.
Answer : (a) one variableShow Answer :
Hint:
The only variable is x.
Question :The expression 4xy + 7 is in
(a) one variable
(b) two variables
(c) no variable
(d) none of these.
Answer : (b) two variablesShow Answer :
Hint:
There are two variables x and y.
Question :The expression x + y + z is in
(a) one variable
(b) no variable
(c) three variables
(d) two variables.
Answer : (c) three variablesShow Answer :
Hint:
There are three variables x, y and z.
Question :The value of 5x when x = 5 is
(a) 5
(b) 10
(c) 25
(d) -5.
Answer : (c) 25Show Answer :
Hint:
Value = 5 × 5 = 25.
Question :The value of x² – 2x + 1 when x = 1 is
(a) 1
(b) 2
(c) -2
(d) 0.
Answer : (d) 0Show Answer :
Hint:
Value = (1)² – 2(1) + 1 = 0.
Question :The value of x² + y² when x = 1, y = 2 is
(a) 1
(b)2
(c) 4
(d) 5.
Answer : (d) 5Show Answer :
Hint:
Value = (1)² + (2)² = 5.
Question :The value of x² – 2yx + y² when x = 1, y = 2 is
(a) 1
(b) -1
(c) 2
(d) -2.
Answer : (a) 1Show Answer :
Hint:
Value = (1)² – 2(2)(1) + (2)² = 1.
Question :The value of x² – xy + y² when x = 0, y = 1 is
(a) 0
(b) -1
(c) 1
(d) none of these.
Answer : (c) 1Show Answer :
Hint:
Value = (0)² – (0)(1) + (1)² = 1.
Question :Which of the following is a monomial ?
(a) 4x²
(b) a + 6
(c) a + 6 + c
(d) a + b + c + d.
Answer : (a) 4x²Show Answer :
Hint:
4x² contains only one term.
Question :Which of the following is a binomial ?
(a) 3xy
(b) 4l + 5m
(c) 2x + 3y – 5
(d) 4a – 7ab + 3b + 12.
Answer : (b) 4l + 5mShow Answer :
Hint:
4l + 5m contains two terms.
Question :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 + y²Show Answer :
Hint:
x²y – xy² + y² contains three terms.
Question :How many terms are there in the expression 5xy² ?
(a) 1
(b) 2
(c) 5
(d) 3.
Answer : (a) 1Show Answer :
Hint:
Only one term 5xy².
Question :How many terms are there in the expression 5 – 3xy ?
(a) 1
(b) 2
(c) 3
(d) 5.
Answer : (b) 2Show Answer :
Hint:
5, -3xy.
Question :How many terms are there in the expression 7x² + 5x – 5 ?
(a) 1
(b) 2
(c) 3
(d) 5.
Answer : (c) 3Show Answer :
Hint:
7x², 5x, -5.
Question :How many terms are there in the expression 4a – lab + 3b + 12 ?
(a) 1
(b) 2
(c) 3
(d) 4.
Answer : (d) 4Show Answer :
Hint:
4a, -7ab, 3b, 12.
Question :How many terms are there in the expression 5xy + 9yz + 3zx + 5x – 4y ?
(a) 1
(b) 3
(c) 4
(d) 5.
Answer : (d) 5Show Answer :
Hint:
5xy, 9yz, 3zx, 5x, – 4y.
Question :The coefficient in the term 7xy is
(a) 7
(b) 3
(c) 1
(d) 2.
Answer : (a) 7Show Answer :
Hint:
Coefficient = 7.
Question :The coefficient in the term -5x is
(a) 5
(b) -5
(c) 1
(d) 2.
Answer : (b) -5Show Answer :
Hint:
Coefficient = -5.
Question :The coefficient in the term 20 is
(a) 1
(b) 2
(c) 10
(d) 20.
Answer : (d) 20Show Answer :
Hint:
Coefficient = 20.
Question :The coefficient in the term -20 is
(a) -1
(b) -2
(c) -10
(d) -20.
Answer : (d) -20Show Answer :
Hint:
Coefficient = -20.
Question :The like terms of the following are
(a) x, 3x
(b) x, 2y
(c) 2y, 6xy
(d) 3x, 2y
Answer : (a) x, 3xShow Answer :
Question :The like terms of the following are
(a) 2x², 9x²
(b) y², xy
(c) xy, 9a²
(d) y², 9x²
Answer : (a) 2x², 9x²Show Answer :
Question :The like terms of the following are
(a) ab, 9ba
(b) ab, -5b
(c) -5b, 9ba
(d) ab, -3a
Answer : (a) ab, 9baShow Answer :
Question :The number of like terms in 9x³, 16x²y, -8x³, 12xy², 6x³ is
(a) 3
(b) 2
(c) 4
(d) 5.
Answer : (a) 3Show Answer :
Hint:
9x³, -8x³, 6x³.
Question :The number of like terms in
abc, -abc, -bca, acb, bac,
(a) 6
(b) 4
(c) 3
(d) 2.
Answer : (a) 6Show Answer :
Hint:
All are like terms.
Question :The number of like terms in
(a) 4
(b) 3
(c) 2
(d) 6.
Answer : (a) 4Show Answer :
Hint:
All are like terms.
Question :The coefficient of x²y in 7pqrx² is
(a) 7pqr
(b) pqr
(c) -7pqr
(d) 7
Answer : (a) 7pqrShow Answer :
Question :The coefficient of xy in xy is
(a) 1
(b) -1
(c) 2
(d) 3.
Answer : (a) 1Show Answer :
Hint:
xy = 1(xy).
Question :The coefficient of x²y in -15 x²y is
(a) 15
(b) -15
(c) 3
(d) 5.
Answer : (b) -15Show Answer :
Question :The coefficient of xy in 6x²y² is
(a) xy
(b) 2xy
(c) 3xy
(d) 6xy
Answer : (d) 6xyShow Answer :
Hint:
6x²y² = (6xy)(xy).
Question :The coefficient of xy2z in -7x2y3z is
(a) -7xy
(b) 7xy
(c) -xy
(d) xy.
Answer : (a) -7xyShow Answer :
Hint:
-7x²y³z = (-7xy)(xy²z).
Question :The sum of 7x, 10x and 12x is
(a) 17x
(b) 22x
(c) 19x
(d) 29x.
Answer : (d) 29x.Show Answer :
Hint:
Sum = (7 + 10 + 12) x = 29x.
Question :The sum of 8pq and -17 pq is
(a) pq
(b) 9pq
(c) -9pq
(d) -pq.
Answer : (c) -9pqShow Answer :
Hint:
Sum = {8 + (-17)} pq = -9pq.
Question :The sum of 5x², -7x², 8x², 11x² and -9x² is
(a) 2x²
(b) 4x²
(c) 6x²
(d) 8x².
Answer : (d) 8x²Show Answer :
Hint:
Sum = {5 + (-7) + 8 + 11 + (-9)} x² = 8x².
Question :The sum of x² – y², y² – z² and z² – x² is
(a) 0
(b) 3x²
(c) 3y²
(d) 3z².
Answer : (a) 0Show Answer :
Hint:
Sum = (x² – y²) + (y² – z²) + (z² – x²) = 0.
Question :What do you get when you subtract -3xy from 5xy?
(a) 3xy
(b) 5xy
(c) 8xy
(d) xy.
Answer : (c) 8xyShow Answer :
Hint:
5xy – (-3xy) = 5xy + 3xy = 8xy
Question :The result of subtraction of 7x from 0 is
(a) 0
(b) 7x
(c) -7x
(d) x.
Answer : (c) -7xShow Answer :
Hint:
0 – 7x = -7x.
Question :The result of subtraction of 3x from -4x is
(a) -7x
(b) 7x
(c) x
(d) -x.
Answer : (a) -7xShow Answer :
Hint:
-4x -3x = -7x.
Question :The product of 4mn and 0 is
(a) 0
(b) 1
(c) mn
(d) 4 mn.
Answer : (a) 0Show Answer :
Hint:
(4 mn)(0) = 0.
Question :The product of 5x and 2y is
(a) xy
(b) 2xy
(c) 5ay
(d) 10ay.
Answer : (d) 10ayShow Answer :
Hint:
(5x)(2y) = 10xy.
Question :The product of 7x and -12x is
(a) 84x²
(b) -84x²
(c) x²
(d) -x².
Answer : (b) -84x²Show Answer :
Hint:
(7x) (-12x) = – 84x².
Question :The area of a rectangle whose length and breadth are 9y and 4y² respectively is
(a) 4y³
(b) 9y³
(c) 36y³
(d) 13y³
Answer : (c) 36y³Show Answer :
Hint:
Area = (9y)(4y²) = 36y³.
Question :The area of a rectangle with length 2l²m and breadth 3lm² is
(a) 6l³m³
(b) l³m³
(c) 2l³m³
(d) 4l³m³.
Answer : (a) 6l³m³Show Answer :
Hint:
Area = (2l²m)(3lm²) = 6l³m³.
Question :The volume of a cube of side 2a is
(a) 4a²
(b) 2a
(c) 8a³
(d) 8.
Answer : (c) 8a³Show Answer :
Hint:
Volume = 2a × 2a × 2a = 8a³.
Question :The volume of a cuboid of dimensions a, b, c is
(a) abc
(b) a²b²c²
(c) a³b³c³
(d) none of these.
Answer : (a) abcShow Answer :
Hint:
Volume = a × b × c = abc.
Question :The product of x², – x³, – x4 is
(a) x9
(b) x5
(c) x7
(d) x6
Answer : (a) x9Show Answer :
Hint:
Product = (x²) (-x³)(-x4) = x9.
Question :(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.
Answer : (a) 0Show Answer :
Hint:
(x – y)(x + y) + (y – z)(y + z) + (z – x) (z + x) = x² – y² + y² – z² + z² – x² = 0.
Question :(a + b)² is equal to
(a) a² + b² – 2ab
(b) a² + b² + 2ab
(c) a² + b²
(d) 2ab.
Answer : (b) a² + b² + 2abShow Answer :
Hint:
(a + b)² = a² + b² + 2 ab.
Question :(a – b)² is equal to
(a) a² + b² – 2ab
(b) a² + b² + 2ab
(c) a² + b²
(d) 2ab.
Answer : (a) a² + b² – 2abShow Answer :
Hint:
(a – b)² = a² + b² – 2ab.
Question :a² – b² is equal to
(a) 2ab
(b) -2ab
(c) (a + b) (a – b)
(d) ab
Answer : (c) (a + b) (a – b)Show Answer :
Hint:
a² – b² = (a + b) (a – b).
Question :An algebraic expression that contains only one term is called:
(a) Monomial
(b) Binomial
(c) Trinomial
(d) None of the above
Answer : (a) MonomialShow Answer :
Hint:
2x is a monomial
Question :5x + 6y is a:
(a) A. Monomial
(b) Binomial
(c) Trinomial
(d) None of the above
Answer : (b) BinomialShow Answer :
Hint:
The expression containing two terms is called binomial.
Question :The algebraic expression 3x + 2y + 6 is
(a) monomial
(b) Binomial
(c) Trinomial
(d) None of the above
Answer : (c) TrinomialShow Answer :
Hint:
The algebraic expression containing three terms is called a trinomial. Here, 3x, 2y and 6 are three terms.
Question :A polynomial contains _______ number of terms:
(a) One
(b) Two
(c) Three
(d) Any
Answer : (d) AnyShow Answer :
Hint:
A polynomial can contain any number of terms, one or more than one.
Question :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 – 4yShow Answer :
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 :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 – 15Show Answer :
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 :If we multiply 5x and (-4xyz), then we get:
(a) 20x2yz
(b) -20x2yz
(c) x2yz
(d) -2xyz
Answer : (b) -20x2yzShow Answer :
Hint:
(5x) x (-4xyz)
= 5 × x × (-4) × x × y × z
= -20x1+1yz
= -20x2yz
Question :The product of 4x and 0 is:
(a) 4x
(b) 4
(c) 0
(d) None of the above
Answer : (c) 0Show Answer :
Hint:
Anything multiplied by zero is zero.
Question :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
Answer : (a) 105x7Show Answer :
Hint:
Volume of rectangle = Length × breadth × height
V = 5x × 3x2 × 7x4
V = 105 x1+2+4
V = 105x7 cubic unit.
Question :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
Answer : (b) 7x and 9xShow Answer :
Question : The expression 7xy has the factors
(a) 7,x,y
(b) x,y
(c) 7,x
(d) 7,y
Answer :(a) 7,x,yShow Answer :
Question : The expression 4xy + 7 is in
(a) one variable
(b) two variables
(c) no variable
(d) none of these.
Answer :(d) two variablesShow Answer :
Question : What kind of polynomial is -5abc?
(a) Monomial
(b) Binomial
(c) Trinonial
(d) None of the above
Answer :(a) MonomialShow Answer :
Question : Which of the following is an expression?
(a) 1/2
(b) 3
(c) 3x-2
(d) 2
Answer :(c) 3x-2Show Answer :
Question : The like terms of the following are
(a) x, 3x
(b) x, 2y
(c) 2y, 6xy
(d) 3x, 2y
Answer :(a) x, 3xShow Answer :
Question : The value of 5x when x = 5 is
(a) 5
(b) 10
(c) 25
(d) -5.
Answer :(c) 25Show Answer :
Question : How many terms are there in the expression 7 – 3x²y?
(a) 1
(b) 2
(c) 3
(d) 4
Answer :(d) 2Show Answer :
Question : The number of terms in the expression 2x²+3x+5 is
(a) 1
(b) 2
(c) 3
(d) 5
Answer :(c) 3Show Answer :
Question : How many terms are there in the expression 5xy + 9yz + 3zx + 5x – 4y ?
(a) 1
(b) 3
(c) 4
(d) 5
Answer :(d) 5Show Answer :
Question : The value of x² + y² when x = 1, y = 2 is
(a) 1
(b)2
(c) 4
(d) 5.
Answer :(d) 5Show Answer :
Question : The sum of -7x, 3x and 11x
(a) – 7x
(b) 21x
(c) 7x
(d) -21x
Answer :(c) 7xShow Answer :
Question : The expression x + y + z is in
(a) one variable
(b) no variable
(c) three variables
(d) two variables
Answer :(c) three variablesShow Answer :
Question : Like terms in the expression 7x, 5x², 7y, -5yx, -9x², are
(a) 7x, -5yx
(b) 5x², -5yx
(c) 5x², -9x²
(d) 7x, 7y
Answer :(c) 5x², -9x²Show Answer :
Question : The value of x² – xy + y² when x = 0, y = 1 is
(a) 0
(b) -1
(c) 1
(d) none of these.
Answer :(c) 1Show Answer :
Question : The area of a rectangle with length 2l²m and breadth 31m² is
(a) l³m³
(b) 2l³m³
(c) 4l³m³
(d) 6l³m³
Answer :(d) 6l³m³Show Answer :
Question : How many terms are there in the expression 5 – 3xy ?
(a) 1
(b) 2
(c) 3
(d) 5
Answer :(d) 2Show Answer :
Question : The volume of rectangular box whose length, breadth and height is 2p,4q.8r respectively is
(a) 14pqr
(b) 2p+4q+8r
(c) 64pqr
(d) 64
Answer :(c) 64pqrShow Answer :
Question : Which of the following is a monomial ?
(a) 4x²
(b) a + 6
(c) a + 6 + c
(d) a + b + c + d.
Answer :(a) 4x²Show Answer :
Question : The value of (x + y) (x + y) + (y – z) (y + z) + (z – x) (z + x) is equal to
(a) 3x²
(b) 3y²
(c) 3z²
(d) 0
Answer :(d) 0Show Answer :
Question : If x = 3 is solution of x² + kx + 15, value of k is
(a) k = -8, x = 3
(b) k = 8, x = 5
(c) k = 6, x = 5
(d) None of above
Answer :(a) k = -8, x = 3Show Answer :
Question : Value of expression ‘a(a²+a +1)+5’ for ‘ a’ = 0 is
(a) a+5
(b) 1
(c) 6
(d) 5
Answer :(d) 5Show Answer :
Question : How many terms are there in the expression 7x² + 5x – 5 ?
(a) 1
(b) 2
(c) 3
(d) 5.
Answer :(c) 3Show Answer :
Question : Which of the following is the numerical coefficient of -5xy?
(a) 5
(b) x
(c) 5
(d) y
Answer :(c) 5Show Answer :
Question : The like terms of the following are
(a) x, 3x
(b) x, 2y
(c) 2y, 6xy
(d) 3x, 2y
Answer :(a) x, 3xShow Answer :
Question : If x = 3 is solution of x² + kx + 15, value of k is
(a) k = -8, x = 3
(b) k = 8, x = 5
(c) k = 6, x = 5
(d) None of above
Answer :(a) k = -8, x = 3Show Answer :
Question : The coefficient in the term 20 is
(a) 1
(b) 2
(c) 10
(d) 20.
Answer :(d) 20Show Answer :
Question : The volume of rectangular box whose length, breadth and height is 2p,4q.8r respectively is
(a) 14pqr
(b) 2p+4q+8r
(c) 64pqr
(d) 64
Answer :(c) 64pqrShow Answer :
Question :When numbers/literals are added or subtracted, they are called _________.
(a) identities
(b) expressions
(c) variables
(d) terms
Answer : (d) termsShow Answer :
Question :The expression 7xy has the factors
(a) 7,x,y
(b) x,y
(c) 7,x
(d) 7,y
Answer : (a) 7,x,yShow Answer :
Question :Which of the following is like term as 7xy?
(a) 9
(b) 9x
(c) 9y
(d) 9xy
Answer : (d) 9xyShow Answer :
Question :The like terms of the following are
(a) x, 3x
(b) x, 2y
(c) 2y, 6xy
(d) 3x, 2y
Answer : (a) x, 3xShow Answer :
Question :The coefficient in the term -5x is
(a) 5
(b) -5
(c) 1
(d) 2
Answer : (b) -5Show Answer :
Question :How many terms are there in the expression 5xy + 9yz + 3zx + 5x – 4y ?
(a) 1
(b) 3
(c) 4
(d) 5
Answer : (d) 5Show Answer :
Question :Which of the following is a monomial?
(a) 4x2
(b) a + 6
(c) a + 6 + c
(d) a + b + c + d
Answer : (a) 4x2Show Answer :
Question :Add: 7xy + 5yz – 3zx, 4yz + 9zx – 4y, –3xz + 5x – 2xy.
(a) 5xy + 3zx + 5x – 4y
(b) 5xy + 9yz +2zx + 5x – 4y
(c) 5xy + 9yz +3zx + 5x – 4y
(d) 5xy + 9yz +3zx + 4y
Answer : (c) 5xy + 9yz +3zx + 5x – 4yShow Answer :
Question :Like terms in the expression 7x, 5x2, 7y, -5yx, -9x2, are
(a) 7x, -5yx
(b) 5x2, -5yx
(c) 5x2, -9x2
(d) 7x, 7y
Answer : (c) 5x2, -9x2Show Answer :
Question :The coefficient of x in the expression -7x +5 is
(a) 5
(b) -7
(c) 7
(d) 0
Answer : (b) -7Show Answer :
Question :Expressions consists of _____________ and _______________.
(a) variables, constants
(b) identities
(c) expressions
(d) none of these
Answer : (a) variables, constantsShow Answer :
Question :The volume of rectangular box whose length, breadth and height is 2p,4q.8r respectively is
(a) 14pqr
(b) 2p+4q+8r
(c) 64pqr
(d) 64
Answer : (c) 64pqrShow Answer :
Question :Which of the following is a binomial?
(a) 4x + y + 2
(b) 2x + 7
(c) 3x + 4y – 6
(d) 3x
Answer : (b) 2x + 7Show Answer :
Question :The area of triangle is’ xy’ where’ x’ is length and ‘y’ is breadth. If the length of rectangle is increased by 5 units and breadth is decreased by 3 units, the new area of rectangle will be
(a) (x-y)(x+3)
(b) (xy+15)
(c) (x+5)(y-3)
(d) (xy+5-3)
Answer : (c) (x+5)(y-3)Show Answer :
Question :Value of expression ‘a(a2+a +1)+5’ for ‘ a’ = 0 is
(a) a+5
(b) 1
(c) 6
(d) 5
Answer : (d) 5Show Answer :
Question :n (4 + m) = 4n + ___
(a) 4m
(b) 4n
(c) 4mn
(d) nm
Answer : (d) nmShow Answer :
Question :If x = 3 is solution of x2 + kx + 15, value of k is
(a) k = -8, x = 3
(b) k = 8, x = 5
(c) k = 6, x = 5
(d) None of above
Answer : (a) k = -8, x = 3Show Answer :
Question :How many terms are there in the expression 5 – 3xy ?
(a) 1
(b) 2
(c) 3
(d) 5
Answer : (b) 2Show Answer :
Question :The expression x + y + z is in
(a) one variable
(b) no variable
(c) three variables
(d) two variables
Answer : (c) three variablesShow Answer :
Question :Terms are added to form ___________.
(a) expressions
(b) terms
(c) identities
(d) none of these
Answer : (a) expressionsShow Answer :
Question :The number of terms in the expression 2x2+3x+5 is
(a) 1
(b) 2
(c) 3
(d) 5
Answer : (c) 3Show Answer :
Question :Which of the following is an expression?
(a)
(b) 3
(c) 3x-2
(d) 2
Answer : (c) 3x-2Show Answer :
Question : An algebraic expression that contains only one term is called:
(a) Monomial
(b) Binomial
(c) Trinomial
(d) None of the above
Answer : AShow Answer :
Example: 2x is a monomial
Question : 5x+6y is a:
(a) Monomial
(b) Binomial
(c) Trinomial
(d) None of the above
Answer :BShow Answer :
Explanation: The expression containing two terms is called binomial.
Question : The algebraic expression 3x+2y+6 is a:
(a) Monomial
(b) Binomial
(c) Trinomial
(d) None of the above
Answer : CShow Answer :
Explanation: The algebraic expression containing three terms is called a trinomial. Here, 3x, 2y and 6 are three terms.
Question : A polynomial contains _______ number of terms:
(a) One
(b) Two
(c) Three
(d) Any
Answer : DShow Answer :
Explanation: A polynomial can contain any number of terms, i.e. one or more than one.
Question : 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
Answer :BShow Answer :
Question : 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 :AShow Answer :
Explanation: 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
= 5xy + 9yz + 3zx + 5x – 4y
Question : 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 : CShow Answer :
Explanation: (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 : If we multiply 5x and (– 4xyz), then we get:
(a) 20x2yz
(b) -20x2yz
(c) x2yz
(d) -2xyz
Answer :BShow Answer :
Explanation: (5x) x (-4xyz)
= 5 × x × (-4) × x × y × z
= -20x1+1yz
= -20x2yz
Question : The product of 4x and 0 is:
(a) 4x
(b) 4
(c) 0
(d) None of the above
Answer :CShow Answer :
Explanation: Any value multiplied by zero is zero.
Question : The volume of a cuboid with length, breadth and height as 5x, 3x2 and 7x4 respectively is:
(a) 105x7
(b) 105x2
(c) 105x4
(d) 105x
Answer :AShow Answer :
Explanation: Volume of cuboid = Length × breadth × height
V = 5x × 3x2 × 7x4
V = 105 x1+2+4
V = 105x7 cubic units
Question : The product of 5x and 3y is:
(a) xy
(b) 2xy
(c) 5xy
(d) 15xy
Answer : (D) 15xyShow Answer :
(5x)(3y) = 15xy
Question : The product of 6x and -11x is:
(a) 66x²
(b) -66x²
(c) x²
(d) -x²
Answer : B. -66x²Show Answer :
(6x) (-11x) = –66x²
Question : The area of a rectangle whose length and breadth are 3y and 9y² respectively is:
(a) 12y³
(b) 21y³
(c) 27y³
(d) y³
Answer : C. 27y³Show Answer :
Explanation:
Area of rectangle = length x breadth = 3y x 9y² = 27y³.
Question : The area of a rectangle that has length = 2a²b and breadth = 3ab² is:
(a) 6a³b³
(b) a³b³
(c) 2a³b³
(d) 4a³b³
Answer : A. 6a³b³Show Answer :
Explanation:
Area of rectangle = (2a²b)(3ab²) = 6a³b³
Question : The side of a cube is 2a. Find the volume of the cube.
(a) 4a²
(b) 2a
(c) 8a³
(d) 8
Answer : C. 8a³Show Answer :
Explanation:
Volume of the cube = 2a × 2a × 2a = 8a³
Question : Multiplication of monomials x², (–x)³, (–x)4 is equal to:
(a) x9
(b) x5
(c) x7
(d) x6
Answer : A. x9Show Answer :
Explanation:
(x²).(-x³).(-x)4 = x9
Question : The value of (x – y)(x + y) + (y – z)(y + z) + (z – x) (z + x) is:
(a) x + y + z
(b) x² + y² + z²
(c) xy + yz + zx
(d) 0
Answer : D. 0Show Answer :
Explanation:
(x – y)(x + y) + (y – z)(y + z) + (z – x) (z + x)
= x² – y² + y² – z² + z² – x² [By algebraic identity: a2 – b2 = (a+b) (a-b)]
= 0
Question : (a – b)² is equal to:
(a) a² + b² – 2ab
(b) a² + b² + 2ab
(c) a² + b²
(d) 2ab
Answer : A. a² + b² – 2abShow Answer :
Explanation: By algebraic identity,
(a + b)² = a² + b² – 2 ab
Question : The product of 3xy2z and 4x is:
(a) 12xyz
(b) 12xy2
(c) 12x2y2z
(d) 12x2yz
Answer : C. 12x2y2zShow Answer :
Explanation: The product of 3xy2z and 4x is:
⇒ (3xy2z) (4x)
⇒ 3.x.y2.z.4.x
⇒ 12x2y2z
Question : Which of the following is a like term as 8xy?
(a) 8
(b) 8x
(c) 8y
(d) xy
Answer : D. xyShow Answer :
