CBSE Class 7 Mathematics Algebraic Expression MCQs

X - ALGEBRAIC EXPRESSION

Question. How many terms are there in the expression 1.2ab – 2.4b + 3.6a?
(a) 1
(b) 2
(c) 3
(d) 4.

Answer : C

Question. What is the coefficient of x in the expression y²x + y?
(a) y²
(b) y 
(c) 1
(d) 0.

Answer : A

Question. Which of the following pairs of terms is a pair of unlike terms?
(a) 3x,2xy
(b) -xy²,-2xy²
(c) -6x²,20x²y
(d) 8x²,7y.

Answer : B

Question. 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

Question. What is the sum of a + b – 1 ,b – a + 1 and 1 – 2b?
(a) 1
(b) -1 
(c) 2
(d) -2.

Answer : A

Question. Simplify: p + (p – q) + q + (q – p) .
(a) p
(b) q
(c) p + q
(d) p – q.

Answer : C

Question. What should be added to x² + 3xy + y² to get x² + y²?
(a) 2xy
(b) -2xy
(c) 3xy
(d) -3xy.

Answer : D

Question. What should be subtracted from1 to get 1 – x + 2x²?
(a) 2x² – 1
(b) x – 2x²
(c) 1 – x
(d) 1 + x.

Answer : B

Question. A term of an expression having no literal factor is called a ______ .
(a) monomial
(b) constant
(c) trinomial
(d) variable.

Answer : B

Question. What is the degree of the polynomial 9xy – 12x²y + 5 – 2x²y³?
(a) 1
(b) 2
(c) 5
(d) 3.

Answer : C

Question. What should be added to x – y to get 2x?
(a) y
(b) x
(c) x + y
(d) x – y.

Answer : C

Question. Find the value of the expression 5n – 3 for n = -1.
(a) 5
(b) -3 
(c) 8
(d) – 8.

Answer : D

Question. What is the value of the expression a² + ab + 1 for a=0, b=1.
(a) 0
(b) 1
(c) -1
(d) 2.

Answer : B

Question. What should be taken away from 3xy – 2x² – 2y² to obtain 5x² – 7xy + 5y²?
(a) 10xy – 7x² – 7y²
(b) -4xy – 7x² – 7y² 
(c) 7x² – 10xy + 7y²
(d) 10xy + 7x² + 7y² .

Answer : A

Question. Subtract -6x² from x².
(a) -7x²
(b) 7x²
(c) 6x²
(d) 5x² .

Answer : B

Question. The sum of t – 5tz ,2tz – z and z – t is _________ .
(a) 2t – 3tz
(b) 2z – 3tz
(c) 3tz
(d) – 3tz.

Answer : D

Question. If A = 2x – y + 3xy, B = x + 2xy and C = 3y + xy, find the value of A+B+C.
(a) – 3xy +2y +6xy
(b) 3x + 2y + 6xy
(c) 3xy – 2y – 6xy
(d) 5xy – 2y.

Answer : B

Question. 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

Question. 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

Question. In (– x) the coefficient of x is ______ .
(a) 1
(b) – 1 
(c) x
(d) – x.

Answer : B

Question. Which of the following expressions is the same as 4a + a + 5 - 3b?
(a) 5a + 2b
(b) 4a2 + 2b
(c) 5a - 3b + 5
(d) 10a - 3b

Answer : C

Question. What is the sum of   8a - 7b   and   8b - 7a?
(a) 2ab
(b) 16ab - 14ba
(c) a + b
(d) a - b

Answer : C

Question. Anne's mother orders N boxes of sweets for Christmas. Each box contains 20 sweets. In one of the boxes, the sweets are found to be spoilt. Also x sweets are found crushed and cannot be offered to guests. How many sweets can Anne's mother give her guests?
(a) 20N - 1 - x
(b) 20(N - 1) - x
(c) 19N - x
(d) (N - 1 - x) . 20

Answer : B

Question. Raghu is making streamers by joining strips of coloured paper as shown. Each of the strips is x" metres long and "y"cm is used up for pasting the ends of the strips together.
The length of each streamer in metres will be?

(a) 3x + 2y
(b) 3x - 2y
(c) 3x - 0.02y
(d) 3x - 0.04y

Answer : C

Question. Krishna has a silk ribbon. If she was to cut it into 'x' equal pieces, the length of each piece would have been 'a' cm. If Krishna wants 'y' pieces, the length (in cm) of each piece would be
(a) ay/x
(b) xy/a
(c) x/ay
(d) ax/y

Answer : D

Question. What is three less than three times an unknown number 'x'?
(a) x - 3
(b) 3x - 3
(c) 3(x - 3)
(d) 3 - 3x

Answer : B

Question. Anita is a door-to-door saleswoman for a company selling bedcovers. The company pays her a fixed salary of Rs W every month and also a bonus of Rs Z for every bedcover sold by her.
In March 2002, Anita sold 46 bedcovers. How much would her total earnings for March be?
(a) (W + Z). 46
(b) W + Z . 46
(c) W + 46) . Z
(d) W .Z . 46  

Answer : B

Question. Aditya gives the following clues while playing 'Guess my Number' with a friend:
What is Aditya's number?

(a) 102
(b) 85
(c) 68 
(d) 52

Answer : C

Question. If x = 2, y = 3, what is the value of 12 - 3 (5x - 4y)?
(a) 6
(b) -9
(c) 18
(d) -18

Answer : C

Question. If 'n' is an even number, the next even number will be
(a) n + 1
(b) n + 2
(c) n + 3
(d) 2n

Answer : B

Question. Which of the following can be written as 4a² 
(a) a²  + a²  + a²  + a² 
(b) 4a  + 4a
(c) 4 x (a + a)
(d) 4   +  a² 

Answer : A

Question. Which of the following is equal to 8a?
(a) 8 + a
(b) a x a x a x a x a x a x a x a
(c) a + a + a + a + a + a + a + a
(d) 7a + 1

Answer : C

Question. 3x - 1 + 5y + 2 is equal to
(a) 2x + 7y
(b) 15xy + 1
(c) 8xy - 3
(d) 3x + 5y + 1

Answer : D

Question. Rupa covers 5x centimetres in one step. How many steps must she take to cover a distance of xy metres?
(a) 5x/2y
(b) Y
(c) 5y
(d) 20y

Answer : D

Question. What must be added to 10xy to get 6y?
(a) 4x
(b) - 4xy
(c) 6y - 10xy
(d) It is not possible.

Answer : C

Question. If P is a negative integer, the integer to its immediate left on the number line is

(a) P - 1
(b) P - 2
(c) P + 1
(d) P + 2

Answer : A

Question. Suppose the pth row has 3 shaded circles. 
Of the following, which row will have 2 shaded circles?

(a) (p - 1) th
(b) (p + 2) th
(c) (p - 2) th
(d) (p + 4) th

Answer : A

Question. 3x - 1 + 5y + 2 is equal to
(a) 2x + 7y
(b) 15xy + 1
(c) 8xy - 3
(d) 3x + 5y + 1

Answer : D

Question. Mallika and Kishore have the same number of marbles. To have 100 marbles, they must pool their marbles together and then get 30 more.Which equation represents the above relationship?
(a) 60x = 100
(b) 30x= 100
(c) 30 + x= 100
(d) 30 + 2x = 100

Answer : D

Question. The difference between (-7)2 and -(7)2
(a) 98
(b) 28
(c) 0
(d) -28

Answer : A

Question. Which word should be inserted in the blank so that the following statement is ALWAYS true? The ____________ of two numbers is 0 if any one of the numbers is 0.
(a) quotient
(b) difference
(c) sum
(d) product

Answer : D

Question. What will be the one's digit in the product
5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 2?
(a) 0
(b) 2
(c) 5
(d) 7

Answer : A

Question. Which of the following is the same as 3a² ?
(a) 3a + 3a
(b) 3 + a²
(c) a² + 2a²
(d) a² x 2a²

Answer : C

Question. The value of 3⁴ is 
(a) 1²
(b) 9²
(c) 6²
(d) 3³

Answer : B

Question. The value of  2³ – (-2)² – 2¹ – (-2)⁰  is 
(a) 0
(b) 1
(c) 2
(d) 10

Answer : B

Question. Which of the following is the coefficient of ‘x’ in 3x³—4x² + 7x –8 ?
(a) 3
(b) --4
(c) 7
(d) –8

Question. What is the sum of (3x—7y +5z) & (--2x + 3y) ?
(a) 5x—4y
(b) x—4y+5z
(c) 5x—4y +5z
(d) x—10y + 5z

Question. What is the value of ( 24ab—10b—18a) – (30ab +12b +14a) ?
(a) –(6ab+22b+32a)
(b) --54ab—12b
(c) 6ab+22b+32a
(d) 6ab—22b

Question. What should be added to –5x + 3y to get 3x – 2y ?
(a) 5x—4y
(b) 8 x—5y
(c) --8x—4y
(d) 2x—10y

Question. What is the value of ( 3x²—5x + 6) at x=1 ?
(a) 3
(b) 4
(c) --8
(d) 14

Question. Which of the following is the exponential form of ‘243’
(a) 3² 
(b) 2³ 
(c) 3⁵ 
(d) 5³

Question. Which of the following is the simplest form of (--3)² x( --4)³
(a) 576
(b) --576
(c) --64
(d) –36

Question. Which of the following is the simplest form of [(2)²⁰ ÷ ( 2)¹⁸]x2³
(a) 8
(b) --8
(c) --32
(d) 32

Question. Which of the following is the standard form of 12700 ?
(a) 1.27x10⁴ 
(b) 12.7x10⁴ 
(c) 127x10² 
(d) 1270x10

Question. Which of the following is the simplest form of 9x10³ + 2x10²?
(a) 9000
(b) 9002
(c) 9200
(d) 209

Question. Which of the following is the value of (–1)¹⁰⁰ x (--1)²⁰⁰ ?
(a) 20000
(b) --1
(c) 1
(d) 2