Q 1 – The expression x + 3 is in
(a) one variable
(b) two variables
(c) no variable
(d) none of these
Q 2 – The value of x² + y² when x = 1, y = 2 is
(a) 1
(b) 2
(c) 4
(d) 5
Q 3 – The value of x2 – xy + y2 when x = 0, y = 1 is
(a) 0
(b) –1
(c) 1
(d) none of these
Q 4 – Which of the following is a monomial ?
(a) 4x2
(b) a + 6
(c) a + 6 + c
(d) a + b + c + d
Q 5 – Which of the following is a trinomial ?
(а) –7z
(b) z2 – 4y2
(c) x2y – xy2 + y2
(d) 12a – 9ab + 5b – 3
Q 6 – How many terms are there in the expression 5 – 3xy ?
(a) 1
(b) 2
(c) 3
(d) 5
Q 7 – How many terms are there in the expression 7x2 + 5x – 5 ?
(a) 1
(b) 2
(c) 3
(d) 5
Q 8 – How many terms are there in the expression 5xy + 9yz + 3zx + 5x – 4y ?
(a) 1
(b) 3
(c) 4
(d) 5
Q 9 – The coefficient in the term –5x is
(a) 5
(b) –5
(c) 1
(d) 2
Q 10 – The like terms of the following are
(a) 2x2, 9x2
(b) y2, xy
(c) xy, 9a2
(d) y2, 9x2
Q 11 – The like terms of the following are
(a) x, 3x
(b) x, 2y
(c) 2y, 6xy
(d) 3x, 2y
Q 12 – The like terms of the following are
(a) ab, 9ba
(b) ab, -5b
(c) -5b, 9ba
(d) ab, -3a
Q 13 – (a – b)2 is equal to
(a) a2 + b2 – 2ab
(b) a2 + b2 + 2ab
(c) a2 + b2
(d) 2ab
Q 14 – 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
Q 15 – If we multiply 5x and (–4xyz), then we get:
(a) 20x2yz
(b) –20x2yz
(c) x2yz
(d) –2xyz
Q 16 – 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
Q 17 – The product of 4x and 0 is:
(a) 4x
(b) 4
(c) 0
(d) None of the above
Q 18 – 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
Q 19 – A polynomial contains _______ number of terms:
(a) One
(b) Two
(c) Three
(d) Any
Q 20. 5x + 6y is a:
(a) A. Monomial
(b) Binomial
(c) Trinomial
(d) None of the above
Q 21 – An algebraic expression that contains only one term is called:
(a) Monomial
(b) Binomial
(c) Trinomial
(d) None of the above
Q 22 – (a + b)2 is equal to
(a) a2 + b2 – 2ab
(b) a2 + b2 + 2ab
(c) a2 + b2
(d) 2ab
Q 23 – The product of x2, – x3, – x4 is
(a) x9
(b) x5
(c) x7
(d) x6
Q 24 – The volume of a cube of side 2a is
(a) 4a2
(b) 2a
(c) 8a3
(d) 8
Q 25 – The area of a rectangle whose length and breadth are 9y and 4y2 respectively is
(a) 4y3
(b) 9y3
(c) 36y3
(d) 13y3
Q 26 – The product of 5x and 2y is
(a) xy
(b) 2xy
(c) 5ay
(d) 10ay
Q 27 – What do you get when you subtract -3xy from 5xy?
(a) 3xy
(b) 5xy
(c) 8xy
(d) xy
Q 28 – The sum of 5x2, –7x2, 8x2, 11x2 and – 9x2 is
(a) 2x2
(b) 4x2
(c) 6x2
(d) 8x2
Q 29 – Write two examples of each of
(i) Monomials
(ii) Binomials
(iii) Trinomials
Q 30 – Identify the like expressions.
5x, –14x, 3x2 + 1, x2, –9x2, xy, –3xy
Q 31 – Identify the terms and their coefficients for each of the following expressions:
(i) 3x2y – 5x
(ii) xyz – 2y
(iii) –x – x2
Q 32 – Add:
Q 33 – Add: 8x2 + 7xy – 6y2, 4x2 – 3xy + 2y2 and – 4x2 + xy – y2
Q 34 – Subtract: (4x + 5) from (–3x + 7)
Q 35 – Subtract: 3x2 – 5x + 7 from 5x2 – 7x + 9
Q 36 – Multiply the following expressions:
(a) 3xy2 × (– 5x2y)
(b) 
x2yz × 
xy2z × 
x2yz
Q 37 – Find the area of the rectangle whose length and breadths are 3x2y m and 5xy2 m respectively.
Q 38 – Multiply x2 + 7x – 8 by – 2y.
Q 39 – Simplify the following:
(i) a2 (b2 – c2) + b2 (c2 – a2) + c2 (a2 – b2)
(ii) x2(x – 3y2) – xy(y2 – 2xy) – x(y3 – 5x2)
Q 40 – Multiply (6x2 – 5x + 3) by (3x2 + 7x – 3)