Algebraic Expressions Class 7 MCQ Maths Chapter 10

MCQ on Algebraic Expressions for Class 7

Class 7 Maths Chapter 10 Algebraic Expressions MCQ

MCQ of The Algebraic Expressions Class 7

I. Multiple Choice Questions

Question 1.
A like term to 2xy²z is _______ ( )
A) \(\frac { xyz }{ 2 }\)
B) \(\frac{\mathrm{xy}^2 \mathrm{z}}{2}\)
C) xyz
D) \(\frac{x y^2}{2}\)
Answer:
B) \(\frac{\mathrm{xy}^2 \mathrm{z}}{2}\)

Question 2.
Coefficient of x is 1 – 2004 x is _______ ( )
A) -2004
B) 2004
C) 1
D) x
Answer:
A) -2004

Question 3.
A monomial contains _______ terms
A) 2
B) 3
C) 4
D) 1
Answer:
D) 1

Question 4.
Number of term in a² + b³ + c⁴ + 1 is _______ ( )
A) 4
B) 3
C) 2
D) 7
Answer:
A) 4

Question 5.
If x = -1, y = 2, then 3x²y is _______ ( )
A) 8
B) 7
C) 6
D) 9
Answer:
C) 6

Question 6.
(a – 2b + c)(2a – 3b + c)(a – a) = _______
A) a -2b
B) 2a – 3b
C) a²
D) 0
Answer:
D) 0

Question 7.
Identify a binomial from the following. ( )
A) a – b – 3c
B) x -20x² + 1
C) a²
D) x² – 20
Answer:
D) x² – 20

Question 8.
The value of 2x – \(\frac { 1 }{ 2 }\) at x = \(\frac { 1 }{ 2 }\) is _______( )
A) 2
B) \(\frac { -1 }{ 2 }\)
C) \(\frac { 1 }{ 2 }\)
D) -2
Answer:
C) \(\frac { 1 }{ 2 }\)

Question 9.
An algebraic expression containing three terms is called _______ ( )
A) Trinomial
B) Binomial
C) Monomial
D) All the above
Answer:
A) Trinomial

Question 10.
7 – 2x – 1 is a _______ ( )
A) Trinomial
B) Monomial
C) Binomial
D) Constant
Answer:
C) Binomial

Question 11.
11. How many terms are there in \(\frac { 3 }{ 19 }\)x²y³p⁴? ( )
A) 4
B) 3
C) 2
D) 1
Answer:
D) 1

Question 12.
In the expression \(\frac { 9 }{ 2 }\)y + 1, constant is _______ ( )
A) \(\frac { 1 }{ 2 }\)
B) 1
C) 2
D) 9
Answer:
B) 1

Question 13.
9ab – 3ab + 2ab + ab – 10 ab = _______ ( )
A) -2ab
B) \(\frac { ab }{ 3 }\)
C) ab
D) \(\frac { ab }{ 2 }\)
Answer:
C) ab

Question 14.
Number of term in a – b – c – abc is _______ ( )
A) 4
B) 7
C) 3
D) 4
Answer:
D) 4

Question 15.
An algebraic expression containing two or more term is called _______( )
A) Polynomial
B) Monomial
C)Constant
D)None
Answer:
A) Polynomial

Question 16.
The coefficient of a is \(\frac { -5 }{ 3 }\) ab²c is _______ ( )
A) \(\frac { -5 }{ 3 }\)b²c
B) \(\frac { 5 }{ 4 }\)bc
C) \(\frac { -5 }{ 2 }\) ab
D) \(\frac { -5 }{ 4 }\)bc
Answer:
A) \(\frac { -5 }{ 3 }\)b²c

Question 17.
If x = 1, y = -1, z = 3, then ax + by – cz = _______ ( )
A) a + b + 3c
B) a – b
C) a – b – 3c
D) a – 3c
Answer:
C) a – b – 3c

Question 18.
3a²b + 9a²b – 12a²b + 3ab = _______( )
A) 0
B) a²b
C) 3ab
D) \(\frac { ab }{ 3 }\)
Answer:
C) 3ab

Question 19.
Number of term in \(\frac{a}{b}\) + \(\frac{b}{c}\) + \(\frac{c}{d}\) is _______ ( )
A) 3
B) 1
C) 4
D) 9
Answer:
A) 3

Question 20.
Add 3ab²,- 9ab², 12ab² = _______ ( )
A) \(\frac{\mathrm{bc}}{3}\)
B) \(\frac{a b^2}{3}\)
C) 3ab₂
D) 6ab₂
Answer:
D) 6ab₂

Question 21.
Add the following.
x – 2y and – x + 3y ( )
A) 11y
B) – 7y
C) y
D) 10y
Answer:
C) y

Question 22.
-3a – (- 8 a) + 10 a = _______
A) 10 a
B) a
c) 5a
D) 15a
Answer:
D) 15a

Question 23.
2a²bc – 3abc – (- 2abc) = _______ ( )
A) 5ab
B) 3ab²c
C) 2a²bc – abc
D) 2a²bc + 1
Answer:
C) 2a²bc – abc

Question 24.
Add 12x²y², – 9x²y², 6x²y² ( )
A) 10x²y²
B) 8x²y²
C) 9x²y²
D) 12xy²
Answer:
C) 9x²y²

Question 25.
p = a – 2b + c, then – p = _______
A) a – b – c
B) a – 2b + c
C) a – 2b
D) – a + 2b – c
Answer:
D) – a + 2b – c

Question 26.
X = 2a – b, then 3X = _______ ( )
A) a – 3b
B) 6a – 3b
C) a + 3b
D) a – 3b
Answer:
B) 6a – 3b

Question 27.
Simplify 3a – b + 4a – 6c + 7b ( )
A) 7 a + 6b – 6c
B) a – b + c
C) 9a – b
D) 7a – b – c
Answer:
A) 7 a + 6b – 6c

Question 28.
x = 2a, y = -3b, then x + y – 2a = _______ ( )
A) 8 b
B) -4b
C) -3b
D) 4b
Answer:
C) -3b

Question 29.
n – [n – (2 n – n)]= _______ ( )
A) n
B) \(\frac { n }{ 2 }\)
C) \(\frac { 3n }{ 2 }\)
D) \(\frac { 4n }{ 3 }\)
Answer:
A) n

Question 30.
Number of terms in a² + b² – c – abc + \(\frac { b }{ 2 }\) ( )
A) 5
B) 6
C) 7
D) 3
Answer:
A) 5

Question 31.
\(\frac { x }{ 2 }\) – \(\left(\frac{x}{2}+\frac{x}{2}+\frac{x}{2}-\frac{3 x}{2}\right)\) = _______ ( )
A) 3x
B) \(\frac { 2x }{ 3 }\)
C) x
D) \(\frac { x }{ 2 }\)
Answer:
D) \(\frac { x }{ 2 }\)

Question 32.
_______ should be added to x + y to get ‘0’? ( )
A) -2x + l
B) x + y
C) x – y
D) – x – y
Answer:
D) – x – y

Question 33.
– m – (- m + 2n) = _______ ( )
A) 2n
B) – 2n
C) \(\frac { n }{ 2 }\)
D) \(\frac { 2n }{ 3 }\)
Answer:
B) – 2n

Question 34.
If x = -1, y = 2, then 3x – 4y – 1 is = ______ ( )
A) 12
B) -12
C) 10
D) -11
Answer:
B) -12

Question 35.
Additive inverse of a – b² is ______( )
A) ab
B) a – b²
C) b – a²
D) – a + b²
Answer:
D) – a + b²

Question 36.
(a² + b² – 2ab) – (a² + b² – 2ab) = _______ ( )
A) 0
B) 4ab
C) a² + b²
D) a – b²
Answer:
A) 0

Question 37.
(a² + b² – 2ab) – (a² + b² + 2ab) = _______ ( )
A) a²b
B) 4ab
C) -4ab
D) 0
Answer:
C) -4ab

Question 38.
15x² – 8x² – 7x² – 4x² + 10x² = ______
A) 4x²
B) -8x²
C) 8x²
D) 6x²
Answer:
D) 6x²

Question 39.
How much is a² – 3 greater than a²? ( )
A) 4
B) 3
C) -3
D) a²
Answer:
C) -3

Question 40.
2xy + 2yz + 2xz – (xy + yz + zx) = _______ ( )
A)xy + yz + xz
B)xy – yz – zx
C) xy + 1
D) xy – 3xy + 1
Answer:
A)xy + yz + xz

II. Fill in the blanks:

Question 41.
If a = 2, b = -3, then, a – 2b + 3 = _______
Answer:
11

Question 42.
4(x – 1) = 8(x + 3), if simplified _______
Answer:
4x + 28

Question 43.
x – 1 – (x – 2) – (x – 3) = ______
Answer:
4 – x

Question 44.
If a = 0, b = -1, then 20 – a – b = ______
Answer:
21

Question 45.
2x – 3x + 7x – 3 – 4, when simplilied _______
Answer:
6x – 7

Question 46.
If a = 2, b = -3, then a² – b² _______
Answer:
-5

If x = \(\frac { 1 }{ 2 }\), then find the values of the following expressions.

Question 47.
– 4x + 1 = ________
Answer:
3

Question 48.
7 – 2x = __________
Answer:
8

Question 49.
\(5\left(x+\frac{1}{2}\right)\) = _______
Answer:
0

Question 50.
x² – 1 = ______
Answer:
\(\frac { -3 }{ 4 }\)

Question 51.
-x-3 = _______
Answer:
\(\frac { -5 }{ 2 }\)

If a = 2,b = 1, then find the values of the following.

Question 52.
a³ – b = __________
Answer:
7

Question 53.
2a² – 3b = __________
Answer:
5

Question 54.
\(\frac { 3 }{ 2 }\)a – 7b = ______
Answer:
-4

Question 55.
5a – 3b + 1 = __________
Answer:
8

Question 56.
a² + 2ab + b² = ________
Answer:
9

Question 57.
a² + 2ab + b² = ________
Answer:
1

Question 58.
2a – 3b² + 1 = ________
Answer:
2

Question 59.
7a + \(\frac { 4b }{ 3 }\) = ________
Answer:
\(\frac { 46 }{ 3 }\)

Question 60.
a⁴ – b = _______
Answer:
15

Question 61.
a²b, ab²c, 9x²y are the examples of ______ terms.
Answer:
Unlike

Question 62.
The constant in x¹⁵ – x² + 1 is _______
Answer:
1

Question 63.
Number of term in p⁴ + 16 is __________
Answer:
2

Question 64.
Letters like a, b, c x, y, z, ……. etc are used to represent ______
Answer:
Variables

Question 65.
In a rectangle if l = 3a and b = 4k, then area = _______
Answer:
12ak

Question 66.
The side of a square is 4xy, then its perimeter is ________
Answer:
16xy

Question 67.
In the above problem area of square is _______
Answer:
16x²y²

Question 68.
1 + xy + y² is an example of _______
Answer:
Trinomial

Question 69.
In 3. 14rp, the coefficient of p is________
Answer:
3.14 r

Question 70.
Number like 1, 20, 2004, 19 ……. are examples of ________ in algebra.
Answer:
Constants

Question 71.
In 3x – y + z, the coefficient of x is ________
Answer:
3

Question 72.
2x + 2x + 2x + …. 10 times = _______
Answer:
20x

Question 73.
The coefficient of x² in \(\frac { 5 }{ 2 }\)x²y²z is _______
Answer:
\(\frac { 5 }{ 2 }\)y²z

Question 74.
3a + 2b – 2c – 3c – 2b + 2c = _______
Answer:
0

Question 75.
a – [a – (- a – a)] = ______
Answer:
-2a

Question 76.
The terms having the same literal factors are called ______ terms.
Answer:
Like

Question 77.
9ab – 6b – 9ab + 10b = ______
Answer:
4b

Question 78.
Number of variables in -7 is ______
Answer:
0

Question 79.
An algebraic expression containing four terms is called ______
Answer:
Quadrinomial

Question 80.
7xy – 3py + 8x – 1 is an example of trinomial (T/F) _______
Answer:
False

III. Match the following:

Question 81.

i) Binomial	a) a – b – 3c
ii) Monomial	b) a + b2
iii) Trinomial	c) 10
iv) Constant	d) 4xy2

A) i – d, ii – b, iii – c, iv – a
B) i – a, ii – c, iii – b, iv – d
C) i – b, ii – d, iii – a, iv – c
D) i – d, ii – a, iii – b, iv – c
Answer:
C) i – b, ii – d, iii – a, iv – c

Question 82.

i) Quadrinomial	a) p2q
ii) Monomial	b) a + b + c2
iii) Trinomial	C) ax3 + bx2 + cx + d
iv) Variable	d) t

A) i – b, ii – c, iii – a, iv – d
B) i – c, ii – a, iii – b, iv – d
C) i – d, ii – b, iii – a, iv – c
D) i – a, ii – d, iii – c, iv – b
Answer:
B) i – c, ii – a, iii – b, iv – d

Question 83.

i) Like term	a) Monomial
ii) Unlike term ,	b) px, \(\frac { -3 }{ 2 }\) Px
iii) 4a2b2	c) Binomial
iv) a2 – b4	d) xy, l

A) i – b, ii – d, iii – a, iv – c
B) i – c, ii – d, iii – a, iv – b
C) i – a, ii – c, iii – b, iv – d
D) i – d, ii – b, iii – c, iv – a
Answer:
A) i – b, ii – d, iii – a, iv – c

Question 84.

i) \(\frac { 3 }{ 2 }\)x – x	a) -4x
ii) x – x – x – 3x	b) 2ax
iii) -7xy + 3xy + 4xy	c) –\(\frac { x }{ 2 }\)
iv) ax + 4ax – 3ax	d) 0

A) i – a, ii – c, iii – b, iv – d
B) i – c, ii – a, iii – d, iv – b
C) i – d, ii – b, iii – c, iv – a
D) i – a, ii – c, iii – b, iv – d
Answer:
B) i – c, ii – a, iii – d, iv – b

Question 85.

i) 9ab, -b	a) Like term
ii) 6x2, -x2	b) 2024
iii) Constant	c) Monomial
iv) \(\frac { 3 }{ 2 }\)xy2z4	d) Unlike term

A) i – a, ii – d, iii – c, iv – b
B) i – b, ii – c, iii – d, iv – a
C) i – a, ii – c, iii – b, iv – d
D) i – d, ii – a, iii – b, iv – c
Answer:
D) i – d, ii – a, iii – b, iv – c

Question 86.

i) x in 7 pxy	a) 9a
ii) b in 9ab + 6a2b2	b) 1
iii) c2 in 85 pq2c2	c) 7py
iv) y in x +  y + z	d) 85pq2

A) i – d, ii – b, iii – a, iv – c
B) i – c, ii – a, iii – d, iv – b
C) i – c, ii – a, iii – d, iv – b
D) i – d, ii – c, iii – b, iv – a
Answer:
B) i – c, ii – a, iii – d, iv – b

Case study based Questions:

Question 87.
Karan and Areyn are measuring a rectangular field which are represented with the measurement in algebraic expression as follows :

Answer the following question.
i) What is the length of rectangle? ( )
A) x + 1
B) 2x + 1
C) x + 2
D) x – 1
Answer:
B) 2x + 1

ii) The perimeter of rectangle is ______
A) x + 1
B)2x + 1
C)x + 2
D) x – 1
Answer:
A) x + 1

iii) Area of rectangle is ______ ( )
A) \(\frac { lb }{ 2 }\)
B) \(\frac { lb }{ 3 }\)
C) lb
D) l + b
Answer:
C) lb

iv) Half of perimeter of rectangle is _______ ( )
A) 2x + 3x
B) 3 + 3
C) 3 + 4x
D) 3x + 3
Answer:
D) 3x + 3

Question 88.
A square is represented in the following measurements with the help of an algebraic expression.

Answer the following questions.

i) The area of above square is ______ ( )
A) \(\frac { y }{ 3 }\)
B) \(\frac { y }{ 2 }\)
C) 2y
D) y²
Answer:
A) \(\frac { y }{ 3 }\)

ii) The perimeter of square is ______ ( )
A) 4y
B) \(\frac { y }{ 4 }\)
C) 2y
D) y
Answer:
A) 4y

iii) If y = 2 cm, then area of square is ______ cm² ( )
A) 4y
B) 4
C) 3y
D) 7
Answer:
B) 4

iv) If perimeter of square is 64 cm, then its side is _______ cm. ( )
A) 8
B) 16
C) 4
D) 4.5
Answer:
B) 16

Class 7 Maths MCQ