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CBSE Class 7 Mathematics MCQ
Algebraic Expressions
with Answers
Question 1: Write an expression : Raju s father s age is 5 years more than 3 times Raju s age . If Raju s
age is x years , then father’s age is
(A) 3x+5
(b) 5-3x
(c) 3x-5
(d) 15x
Answer : AShow Answer :
Question 2: The number of terms in 4p2q -3pq2+5 is
(A) 7
(b) 3
(c) 1
(d) 4
Answer : BShow Answer :
Question 3: When x-0,y= -1,then the value of expression 2x+2y is
(A) 4
(b) 0
(c) -2
(d) 2
Answer : CShow Answer :
Question 4: What is the numerical coefficient of y2 in the expression 2x2y – 15xy2 +7y
(A) -15x
(b) -15
(c) 2
(d) 7
Answer : BShow Answer :
Question 5: The sum of mn+5-2 and mn+3 is
(A) 2mn+3
(b) 6
(c) 2mn+8
(d) 2mn+6.
Answer : DShow Answer :
Question 6:Which of the following is monomial
(A) 2x +3
(b) 2x
(c) 4x+2y+3
(d) 4y+5x+z ̶ 1
Answer : BShow Answer :
Question 7:From the following expressions 10pq, 7p, 8q, -p2q2, -7pq, -23, ab,3a,b.The like terms are
(A) 3,7p
(b) 10 pq, -7pq
(c) ab,3a,b
(d)10pq,7p,8q
Answer : BShow Answer :
Question 8:The coefficient of y3 in the expression y – y3 + y2 is
(A) 1
(b) y
(c) -y3
(d) -1
Answer : DShow Answer :
Question 9:The value of 21b-32 + 7b – 20b is
(A) 48b- 32
(b) – 8b – 32
(c) 8b – 32
(d) 28b – 52
Answer : CShow Answer :
Question 10:The expression x +y – xy is
(A) Monomial
(b) Binomial
(c) Trinomial
(d) Quadrinomial
Answer : CShow Answer :
Question 11:Subtracting -5y2 from y2 ,the result is
(A) -4y2
(b) 6y2
(c) 4 y2
(d) -6 y2
Answer : BShow Answer :
Question 12:Sum of 3m and 2n is
(A) 5mn
(b) 3m+2n
(c) 5m
(d) 5n
Answer : BShow Answer :
Question 13: On simplifying (a+b-3) – (b –a +3) + (a ̶ b+3) the result is
(A) a-b+3
(b) a-b-3
(c) 3a-b-3
(d) 3a+b+3
Answer : CShow Answer :
Question 14:Factors of the terms -4pq2 in the expression 9p2q2 -4 pq2 are
(A) 9 p2q2 ,-4 pq2
(b) 9,-4
(c) -4,p,q,q
(d) -4
Answer : CShow Answer :
Question 15: Identify the terms in the expression x+y+1 which are not constant
(A) x,y,1
(b) x, y
(c) x,1
(d) y,1
Answer : BShow Answer :
Question 16: The value of expression 2a2+2b2 ̶ ab for a=2, b=1is
(A) 2
(b) 8
(c) 6
(d) 10
Answer : BShow Answer :
Question 17: The value of expression 2a-2b-4-5+a at a=1, b= – 2
(A) 10
(b) -2
(c) 12
(d) -4
Answer : BShow Answer :
Question 18: Identify the coefficient of x in expression 8-x+y
(a ) 0
(b) 8
(c) -1
(d) 1
Answer : CShow Answer :
Question 19: Subtract a – b from a+b the result is
(A) 2a + 2b
(b) 2a
(c) 2b
(d) 2a – 2b
Answer : CShow Answer :
Question 20: If the length of each side of the equilateral triangle is l, then the perimeter of the equilateral triangle is
(A) 31
(b) 3+1
(c) 3-1
(d) 11/3
Answer : AShow Answer :
Question 21: Find the value of a2 + b2 if a = 2 and b = -2.
(A) 0
(B) 8
(C) 4
(D) None of these
Answer : (b) 8Show Answer :
22 + (-2)2 = 4 + 4 = 8.
Question 22: Write an expression : Raju s father s age is 5 years more than 3 times Raju s age. If Raju s age is x years, then father’s age is
(A) 3x – 5
(B) 3x + 7
(C) 5 – 3x
(D) 3x + 5
Answer : (d) 3x + 5Show Answer :
Question 23: Subtract – 5y2 from y2.
(A) -4y2
(B) 4y2
(C) 6y2
(D) None of these
Answer : (c) 6y2Show Answer :
y2 – (-5y2) = y2 + 5y2 = 6y2.
Question 24: A _________ can take various values.
(A) variable
(B) expression
(C) term
(D) None of these
Answer : (a) variableShow Answer :
Question 25: The simplified form of the Boolean expression (X + Y + XY)(X + Z) is
(A) X + Y + Z
(B) XY + YZ
(C) X + YZ
(D) XZ + Y
Answer : (c) X + YZShow Answer :
Question 26: Identify terms which contain x in following expression 13 y2 – 8 yx
(A) -8yx
(B) 13 y2
(C) -8y
(D) None of these
Answer : (a) -8 yxShow Answer :
Here, x is in the term -8yx.
Question 27: For what value of ‘m’ is 9 − 5m = (−1)?
(A) −1
(B) −2
(C) 2
(D) 1
Answer : (c) 2Show Answer :
Question 28: The number z is multiplied by itself, write its algebraic expresson.
(A) 2z
(B) z2
(C) 2z
(D) None of these
Answer : (b) z2Show Answer :
Product of z with z is z2.
Question 29: What is the difference between 3a + 2b and −2a − 5b?
(A) 5a + 7b
(B) – 5a – 7b
(C) 5a – 7b
(D) a – 3b
Answer : (a) 5a + 7bShow Answer :
Question 30: Add 3 mn, -5 mn, 8 mn, -4mn.
(A) 2 mn
(B) 20 mn
(C) -2 mn
(D) None of these
Answer : (a) 2 mnShow Answer :
3 mn and 8 mn are positive so sum of -5 mn and -4mn is subtracted from sum of 3 mn and 8 mn.
Question 31: Identify, in the following expressions, terms which are not constants : xy + 4.
(A) xy
(B) 4
(C) x
(D) y
Answer : (a) xyShow Answer :
Values of xy are variable. Therefore these are not constant.
Question 32: An expression which contains two unlike terms is called _______.
(A) binomial
(B) monomial
(C) trinomial
(D) None of these
Answer : (a) binomialShow Answer :
Question 33: Get the algebraic expression of subtraction of z from y.
(A) z – y
(B) y – z
(C) – z + y
(D) None of these
Answer : (b) y – zShow Answer :
z is subtracted from y.
Question 34: A and B are polynomials and each is the additive inverse of the other. What does it mean?
(A) A = B
(B) A+B is a zero polynomial.
(C) A−B is a zero polynomial.
(D) A−B = B−A
Answer : (b) A+B is a zero polynomial.Show Answer :
Question 35: Find the value of 7a – 4b if a = 3, b = 2.
(A) 17
(B) 29
(C) 13
(D) None of these
Answer : (c) 13Show Answer :
7×3 – 4×2 = 21 – 8 = 13.
Question 36: Get the algebraic expressions for subtraction of z from y.
(A) y × z
(B) y – z
(C) y + z
(D)
Answer : (b) y – zShow Answer :
Question 37: What is the co-efficient ofy in the given algebraic expression 8 + yz.
(A) 8
(B) 1
(C) z
(D) None of these
Answer : (c) zShow Answer :
As term with factory is yz. Therefore, co-efficient of 2 is co-efficient of y.
Question 38: What are the coefficients of y in the expression 4x – 3y?
(A) -4
(B) -3
(C) 3
(D) 4
Answer : (b) -3Show Answer :
Question 39: Write the term which contains y2 in expression 5y2 + 7x.
(A) 5
(B) 5y2
(C) 7
(D) None of these
Answer : (b) 5y2Show Answer :
y2 is with constant 5.
Question 40: Simplify these expressions and find their values, if x = 3, a = – 1, b = – 2.
3x – 5a – x2 + 9b
(A) -13
(B) 15
(C) 13
(D) None of these
Answer : (a) -13Show Answer :
Question 41: Identify the co-efficient of x in the given expression : 4x – 3y.
(A) 4
(B) -3
(C) 4x
(D) None of these
Answer : (a) 4Show Answer :
As term with factor x is 4x therefore, co-efficient of x is 4.
Question 42: The sum of mn + 5 – 2 and mn+3 is
(A) 2mn + 6
(B) mn + 6
(C) 2mn – 6
(D) mn – 6
Answer : (a) 2mn + 6Show Answer :
Question 43: Find the value of x + 4 at x = 2.
(A) 2
(B) 6
(C) 4
(D) None of these
Answer : (b) 6Show Answer :
As x = 2 ∴ Given expression becomes 2 + 4 = 6.
Question 44: What are the coefficients of y in the expression yz2+ 5?
(A) z
(B) z2
(C) 1
(D) 5
Answer : (b) z2Show Answer :
Question 45: Write the numerical co-efficients of 100 m + 1000 n.
(A) 100, 1000
(B) 100
(C) 1000
(D) None of these
Answer : (a) 100, 1000Show Answer :
Both terms have variable so numerical co-efficients are 100,1000.
Question 46: Simplify combining like terms: 3a – 2b – ab – (a – b + ab) + 3ab + b – a
(A) a – ab
(B) a + ab
(C) a + b
(D) None of these
Answer : (b) a + abShow Answer :
Question 47: Numbers x and y when both squared and added, write it in algebraic expression.
(A) 2x + 2y
(B) x + y
(C) x2 + y2
(D) None of these
Answer : (c) x2 + y2Show Answer :
Square of x and square of y are x2 and y2. Sum is x2 + y2.
Question 48: The length and breadth of a rectangular plot are I and b. Two rectangular paths each of width W run inside the plot one parallel to the length and the other parallel to the breadth. What is the total area of the paths?
(A) (l + w)(b + w) − lb
(B) lb − (l − w)(b − w)
(C) (l + b − w)w
(D) lb − (l − 2w)(b − 2w)
Answer : (c) (l + b − w)wShow Answer :
Question 49: In the above identify numerical co-efficient of variables.
(A) 4
(B) y
(C) 1
(D) None of these
Answer : (c) 1Show Answer :
If there is not any co-efficient with variables then 1 is always numerical co-efficient of variables.
Question 50: Find the value of x + 4 for x = 2.
(A) 6
(B) 8
(C) 4
(D) None of these
Answer : (a) 6Show Answer :
Question 51: Identify terms in the expression x – 3.
(A) x, -3
(B) x, 3
(C) 1, -3
(D) None of these
Answer : (a) x, -3Show Answer :
x, -3 are terms of given expression.
Question 52: In a two digit number, the units digit is x and tens digit is (x+3). What is the sum of the digits in the number?
(A) 11x+3
(B) 2x+3
(C) 3+x
(D) 11x+30
Answer : (b) 2x+3Show Answer :
Question 53: Write algebraic expression of one half of the sum of numbers x and y.
(A)
(B)
(C)
(D) None of these
Answer : (a) Show Answer :
Sum of x and y is divided by 2.
Question 54: The constant term in the expression 1 + x2+ x is
(A) 1
(B) x
(C) x2
(D) None of these
Answer : (a) 1Show Answer :
Question 55: When a certain number, ‘m’ is divided by 5 and added to 8, the result is equal to thrice the number subtracted from 4. What is the value of ‘m?
(A) 2
(B)
(C) −1
(D)
Answer : (d) Show Answer :
State whether the given statements are True or False.
Question 56: A variable can take various values.
Answer : TrueShow Answer :
Question 57: An expression with only one term is called a monomial.
Answer : TrueShow Answer :
Question 58: A constant does not have a fixed value.
Answer : FalseShow Answer :
Question 59: Terms 2xy and 4 are like terms.
Answer : FalseShow Answer :
Question 60: – 7x,
Answer : likeShow Answer :
Question 61: – 29x, – 29y
Answer : unlikeShow Answer :
Question 62: 14xy, 42yx
Answer : likeShow Answer :
Question 63: 4m2p, 4mp2
Answer : unlikeShow Answer :
Question 64: 12x2, 12x2y2
Answer : unlikeShow Answer :
Classify into monomials, binomials and trinomials.
Question 65: 4y – 7z
Answer : BinomialShow Answer :
Question 66: y2
Answer : MonomialShow Answer :
Question 67: x + y – xy
Answer : TrinomialShow Answer :
Question 68: ab – a – b
Answer : TrinomialShow Answer :
Question 69: z2 – 3z + 8
Answer : TrinomialShow Answer :
Question 70: z2 + z
Answer : BinomialShow Answer :
Question 71: How many terms are there in the expression 2x2y?
(A) 1
(B) 2
(C) 3
(D) 4
Answer : (a) 1Show Answer :
Question 72: How many terms are there in the expression 2y + 5?
(A) 1
(B) 2
(C) 3
(D) 4
Answer : (b) 2Show Answer :
Question 73: How many terms are there in the expression 1.2ab – 2.4b + 3.6a?
(A) 1
(B) 2
(C) 3
(D) 4
Answer : (c) 3Show Answer :
Question 74: How many terms are there in the expression – 2p3 – 3p2 + 4p + 7?
(A) 1
(B) 2
(C) 3
(D) 4
Answer : (d) 4Show Answer :
Question 75: What is the coefficient of x in the expression 4x + 3y?
(A) 1
(B) 2
(C) 3
(D) 4
Answer : (d) 4Show Answer :
Question 76: What is the coefficient of x in the expression 2 – x + y?
(A) 2
(B) 1
(C) -1
(D) None of these
Answer : (c) -1Show Answer :
Question 77: What is the coefficient of x in the expression y2x + y?
(A) y2
(B) y
(C) 1
(D) 0
Answer : (a) y2Show Answer :
Question 78: What is the coefficient of x in the expression 2z – 3xz?
(A) 3
(B) z
(C) 3z
(D) -3z
Answer : (d) -3zShow Answer :
Question 79: What is the coefficient of x in the expression 1 + x + xz?
(A) z
(B) 1 + z
(C) 1
(D) 1 + x
Answer : (b) 1 + zShow Answer :
Question 80: What is the coefficient of x in the expression 2x + xy2?
(A) 2 + y2
(B) 2
(C) y2
(D) None of these
Answer : (a) 2 + y2Show Answer :
Question 81: What is the coefficient of y2 in the expression 4 – xy2?
(A) 4
(B) x
(C) -x
(D) None of these
Answer : (c) -xShow Answer :
Question 82: What is the coefficient of y2 in the expression 3y2 + 4x?
(A) 1
(B) 2
(C) 3
(D) 4
Answer : (c) 3Show Answer :
Question 83: What is the coefficient of y2 in the expression 2x2y – 10xy2 + 5y2?
(A) 5 – 10x
(B) 5
(C) -10 x
(D) None of these
Answer : (a) 5 – 10xShow Answer :
Question 84: What is the coefficient of x in the expression ax3 + bx2 + d?
(A) a
(B) b
(C) d
(D) 0
Answer : (d) 0Show Answer :
Question 85: What is the coefficient of x2 in the expression ax + b?
(A) a
(B) b
(C) a + b
(D) 0
Answer : (d) 0Show Answer :
Question 86: Which of the following pairs of terms is a pair of like terms?
(A) 1, 10
(B) y, -xy
(C) z2, Z
(D) Z2, 8
Answer : (a) 1, 10Show Answer :
Question 87: Which of the following pairs of terms is a pair of like terms?
(A) 7xy, 14yx
(B) m2p, mp2
(C) 6xz, 12 x2 z2
(D) -13x, -13y
Answer : (a) 7xy, 14yxShow Answer :
Question 88: Which of the following pairs of terms is a pair of like terms?
(A) 3x, 2xy
(B) -xy2, – 2xy2
(C) -6x2, 20x2y
(D) 8x2, 7y
Answer : (b) -xy2, – 2xy2Show Answer :
Question 89: Which of the following pairs of terms is a pair of like terms?
(A) 7p, 8q
(B) 10pq, -7qp
(C) 12q2 p2, -5p2
(D) 2405p, 78qp
Answer : (b) 10pq, -7qpShow Answer :
Question 90: Which of the following pairs of terms is a pair of unlike terms?
(A) -p2q2, 12q2p2
(B) 41, 100
(C) qp2, 13p2q
(D) -4yx2, -4xy2
Answer : (d) -4yx2, -4xy2Show Answer :
Question 91: Add 2 mn, -4 mn, 8 mn, -6 mn
(A) 0
(B) 2 mn
(C) 8 mn
(D) 10 mn
Answer : (a) 0Show Answer :
Hint:
2 + (-4) + 8 + (-6) = 0
Question 92: Add a + b – 1, b – a + 1, 1 – 26
(A) 1
(B) -1
(C) 2
(D) -2
Answer : (a) 1Show Answer :
Hint:
Sum = (1 – 1)a + (1 + 1 – 2)b – 1 + 1 + 1 = 1
Question 93: Add 4x2y, -3x2y, -7xy2, 7xy2
(A) x2y
(B) xy2
(C) xy
(D) -x2 y
Answer : (a) x2yShow Answer :
Hint:
(4 – 3)xy + (-7 +7)xy2 = x2y
Question 94: Simplify : p + (p – q) + q + (q – p)
(A) p
(B) q
(C) p + q
(D) p – q
Answer : (c) p + qShow Answer :
Hint:
p + p – q + q + q – p = p + q
Question 95: Simplify : z2 + 11z2 – 5z – 11z2 + 5z
(A) z2
(B) -z2
(C) 5z
(D) -5z
Answer : (b) -z2Show Answer :
Hint:
(-1 + 11 – 11)z2 + (5 – 5)z = -z2
Question 96: Subtract – xy from xy
(A) xy
(B) 2xy
(C) 3xy
(D) 4xy
Answer : (b) 2xyShow Answer :
Hint:
xy – (-xy) = xy + xy = 2xy
Question 97: Subtract y2 from – 5y2
(A) -6y2
(B) 6y2
(C) y2
(D) -5y2
Answer : (a) -6y2Show Answer :
Hint:
-5y2 – y2 = -6y2
Question 98: What should be added to x2 + y2 to get x2 + y2 + 2 xy?
(A) xy
(B) 2xy
(C) 4xy
(D) -2xy
Answer : (b) 2xyShow Answer :
Hint:
x2 + y2 + 2xy – (x2 + y2) = 2xy
Question 99: What should be subtracted from x2 + y2 – 2xy to get x2 + y2?
(A) 2xy
(B) -2xy
(C) xy
(D) – xy
Answer : (b) -2xyShow Answer :
Hint:
x2 +y2 – 2xy – (x2 + y2) = -2xy
Question 100: Find the value of the expression x + 2 for x = -2
(A) 0
(B) 2
(C) -2
(D) 4
Answer : (a) 0Show Answer :
Hint:
-2 + 2 = 0
Question 101: Find the value of the expression 4x – 3 for x = 1
(A) 4
(B) -3
(C) 3
(D) 1
Answer : (d) 1Show Answer :
Hint:
4(1) – 3 = 1
Question 102: Find the value of the expression 100 – 10 x 3 for x = 0
(A) 10
(B) -10
(C) 100
(D) -100
Answer : (c) 100Show Answer :
Hint:
100 – 10(0)3 = 100
Question 103: Find the value of the expression 5n – 3 for n = -1
(A) 5
(B) -3
(C) -8
(D) 8
Answer : (c) -8Show Answer :
Hint:
5(-1) -3 = -8
Question 104: Find the value of the expression x2 + 2x + 1 for x = – 1
(A) 0
(B) 1
(C) -1
(D) 2
Answer : (a) 0Show Answer :
Hint:
(-1)2 + 2(-1) + 1 = 0
Question 105: Find the value of the expression a + b for a = 1, b = 2
(A) 1
(B) 2
(C) 3
(D) 4
Answer : (c) 3Show Answer :
Hint:
1 + 2 = 3
Question 106: Find the value of the expression a2 – 2ab + b2 for a = 1, b = 1
(A) 1
(B) 0
(C) -1
(D) 2
Answer : (b) 0Show Answer :
Hint:
(1)2 -2(1)(1) + (1)2 = 0
Question 107: Find the value of the expression a2 – b2 for a = 2, b = 1
(A) 1
(B) 2
(C) 3
(D) 4
Answer : (c) 3Show Answer :
Hint:
(2)2 – (1)2 = 3
Question 108: Find the value of the expression a2 + b2 for a = 1, b = 0
(A) 1
(B) 0
(C) 2
(D) 4
Answer : (a) 1Show Answer :
Hint:
(1)2 + (0)2 = 1
Question 109: Find the value of the expression a2 + ab + 1 for a = 0, b = 1
(A) 0
(B) 1
(C) -1
(D) 2
Answer : (b) 1Show Answer :
Hint:
(o)2 + (o)(1) + 1 = 1
Question 110: Find the value of the expression 3x + 5 (x – 2) for x = 2
(A) 2
(B) 4
(C) 5
(D) 6
Answer : (d) 6Show Answer :
Hint:
3(2)+ 5(2 – 2) = 6
Question 111: Find the value of the expression z3 – 2(z – 10) for z = 10
(A) 10
(B) 100
(C) 1000
(D) 10000
Answer : (c) 1000Show Answer :
Hint:
(10)3 – 2(10 – 10) = 1000
Question 112: Find the value of the expression – x + 2 for x = -2
(A) 1
(B) 2
(C) 3
(D) 4
Answer : (d) 4Show Answer :
Hint:
-(-2) + 2 = 2 + 2 = 4
Question 113: Find the value of the expression 3p + 7 for p = -2
(A) 1
(B) -1
(C) 2
(D) -2
Answer : (a) 1Show Answer :
Hint:
3(-2) + 7 = 1
Question 114: Find the value of the expression a3 + b3 + c3 – 3abc for a = 2, b = 3, c = 4
(A) 3
(B) 6
(C) 9
(D) 27
Answer : (d) 27Show Answer :
Hint:
(2)3 + (3)3 + (4)3 – 3(2)(3)(4)
= 8 + 27 + 64 – 72 = 27
Question 115: If the value of the expression x2 – 5x + k for x = 0 is 5, then the value of k is
(A) 2
(B) 3
(C) 4
(D) 5
Answer : (d) 5Show Answer :
Hint:
(0)2 – 5(0) + k = 5
⇒ k = 5
Fill in the blanks.
Question 1: The terms having the same literal factors are called …………. terms.
Answer : likeShow Answer :
Question 2: An expression with only one term is called a …………. .
Answer : monomialShow Answer :
Question 3: A statement of equality involving one or more variables is called an ………… .
Answer : equationShow Answer :
Question 4: A symbol having a fixed numerical value is called a …………. .
Answer : constantShow Answer :
Question 5: A symbol which takes various numerical values is called a …………. .
Answer : variableShow Answer :
Question 6: An expression which contains two terms is called a ………… .
Answer : binomialShow Answer :
Question 7: An expression with one or more terms is called a …………. .
Answer : polynomialShow Answer :
Question 8: A combination of constants and variables connected by the signs of basic operations of +, -, × and ÷ is called an ……….. expression.
Answer : algebraicShow Answer :
Question 9: The terms not having the same literal factors are called …………. terms.
Answer : unlikeShow Answer :
Question 10: An expression which contains three terms is called a …………. .
Answer : trinomialShow Answer :