CBSE Class 7 Mathematics Algebraic Expressions Assignment Set 01

CBSE Assignment on Algebraic Expressions. Prepared by HOD Mathematics of one of the best schools in Delhi

Question. If x + y = S, y + z = 7 and z + x = 12, what is the value of x + y + z?
(A) 12
(B) 2
(C) S
(D) 24
Answer : A

Question. How many auxiliary formulae can be formed from the expression in the box?
A = 1/2 h(a+b) 
(A) 2
(B) 3
(C) 4
(D) 1
Answer : B

Question. What is the difference between 3a + 2b and -2a - Sb?
(A) Sa + 7b
(C) Sa -7b
(B) - Sa -7b
(D) a -3b
Answer : A

Question. The length and breadth of a rectangular plot are l 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

Question. 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) 11 X + 3
(B) 2x + 3
(C) 3 + x
(D) 11x + 30
Answer : B

Question. 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

Question. 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 va lue of 'm'?
(A) 2
(B) 4/3
(C) -1/3
(D) -5/4
Answer : D

Question. 5 added to thrice a number is equal to 12 added to twice the number. What is the number?
(A) √49 x 1/7
(B) 3√343 x 7/7
(C) 7
(D) Both (B) and (C)
Answer : D

Question. In the figure given what is the perimeter, in cm, of the triangle ?

(A) (8y + 4x - 3) cm
(B) (8y - 4x + 3) cm
(C) (14x- 2y - 3) cm
(D) (12xy- 3) cm
Answer : A

Question. If C = x-a/x-b, find the value of x .
(A) bC - a / C - 1
(B) C - a / C - b
(C) C + a / C + a
(D) 1 - C /  a - bC
Answer : A

Question. Match the following.

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

Question. Which of the following is true?
(A) The product of number s p and qsubtracted from 7 is 7 + pq.
(B) y - y³ is a monomial.
(C) The coefficient of y² in 2x2y + 7y² is 7.
(D) 100z³ is a binomial.
Answer : C

Question. If x = 3, a = (-1) and b = (-2), what is the value of 2 - 6x + 4a- 3b?
(A) -22
(B) - 14
(C) 12
(D) 14 CD
Answer : B

Question. For what value of 'm' is 9 - 5m = (-1 )?
(A) -1
(B) -2
(C) 2
(D) 1
Answer : C

Question. Simplify x²y³ - 1.5 x²y³ + 1.4x²y³
(A) 0.9x²y³
(B) -0.9x²y³
(C) 0.9
(D) - 0.9
Answer : A

Question. What is the value of (a³ - 2a² + 4a - 5)- (-a³ - 8a + 2a² + 5)?
(A) 2a³ + 7a² + 6a - 10
(B) 2a³ + 7a² + 12a - 10
(C) 2a³ - 4a² + 12a - 10
(D) 2a³ - 4a² + 6a - 10
Answer : C

Question. By how much is x4 - 4x²y² + y⁴ less than x⁴ + 8x²y² + y⁴?
(A) -12x²y²
(C) -12xy
(B) 12x²y²
(D) 12xy
Answer : B

Question. What is the sum of a²/2 + b³/3 - c³/4

Answer : C

Question. Match the following

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

Question. Simplify the following expression.
x (y - z) - y (z - x) - z (x - y)
(A) 2x (y- z)
(B) 2y (z- x)
(C) 2x (z- y)
(D) 2z (x- y)
Answer : A

Question. What is the 41h term of a pattern described by the expression n² + 1?
(A) 18
(B) 17
(C) 24
(D) 16
Answer : B

Question. The third term of the series 7n + 20 is 41.
What is the 10th term ?
(A) 90
(B) 56
(C) 63
(D) 87
Answer : A

Question. What is the expression related to the pattern 5, 8, 11, ....... ?
(A) 2n - 1
(B) 3n + 2
(C) 4n + 1
(D) n2 - 1
Answer : B

Question. Which expression gives the predecessor of a natural number 'n' ?
(A) 2n-1
(B) n + 1
(C) n-1
(D) 2n + 1
Answer : C

Question. If 'n' denotes a natural number, what does '2n' denote?
(A) A prime number
(B) An even number
(C) An odd number
(D) A composite number
Answer : B

Question. For any natural number n, what does 2n + 1 denote?
(A) An even number
(B) An odd number
(C) A composite number
(D) A prime number
Answer : B

Question. Identify the like terms in 21 p - 32 - 7p + 20p.
(A) 21 p, - 32 and 20p
(B) -32, -7p and 20p
(C) 21p, -7p and 20p
(D) -7p, 21 p, and 32
Answer : C

Question. What is the symbolic form of "one-fourth of the product of m and n"?
(A) 1/4mn
(B) 1/4 (m + n)
(C) 1/4 (m - n)
(D) 1/4 m/n
Answer : A

Question. What do we call the algebraic terms with same literal coefficients?
(A) Equivalent
(B) Unlike terms
(C) Constants
(D) Like terms
Answer : D

Question. What is the coefficient of 'y ' in the expression 3xy - 13?
(A) 3x
(B) 3
(C) -13
(D) Either (A) or (B)
Answer : A

Question. Simpllfy 3/4 x - 2/5 ax - y + 1/3 ax - 1/8 x and find its value when a = 3, x = (-2) and y = (-6).
(A) 5(3/20) 
(B) 3(3/20)
(C) 13/20
(D) 5(1/20)
Answer : A

Question. A rectangle is 3p em long and 2p cm wide. Find the perimeter of the rectangle when p = 12.
(A) 102 cm
(B) 120 cm
(C) 210 cm
(D) 10p cm
Answer : B

Question. From the sum of 7x - 2y - 3z and 3x + 5y - 8z, take away x - 3z.
(A) 9x- 3y + 8z
(B) 9x + 3y- 8z
(C) 9x + 3y + 8z
(D) 9x - 3y- 8z
Answer : B

Question. The angles of a quadrilateral are (p+25)°, 2p°, (2p - 1S)° and (p + 20)° What is the value of the smallest angle?
(A) 105°
(B) 65°
(C) 115°
(D) 65°
Answer : B

Question. The sides of a right angled triangle are 2a cm, (2a + 2) em and (4a - 2) cm long.
What is the length of the shortest side of the triangle if its perimeter is 24 cm?
(A) 8 em
(B) 6 em
(C) 10 em
(D) 3 em
Answer : B