NCERT Exemplar Solutions - Mathematics - class 7 solutions for Chapter 10 Algebraic Expressions

An algebraic expression containing three terms is called a

(a) monomial (b) binomial (c) trinomial (d) All of these

Number of terms in the expression 3x2 y – 2y2 z – z 2 x + 5 is

(a) 2 (b) 3 (c) 4 (d) 5

The terms of expression 4x2 – 3xy are:

(a) 4x2 and –3xy (b) 4x2 and 3xy

(c) 4x2 and –xy (d) x2 and xy

Factors of –5x2 y 2 z are

(a) – 5 × x × y × z (b) – 5 × x2 × y × z

(c) – 5 × x × x × y × y × z (d) – 5 × x × y × z2

Coefficient of x in – 9xy2 z is

(a) 9yz (b) – 9yz (c) 9y2 z (d) – 9y2 z

Which of the following is a pair of like terms?

(a) –7xy2 z, – 7x2 yz (b) – 10xyz2 , 3xyz2

(c) 3xyz, 3x2 y 2 z 2 (d) 4xyz2 , 4x2 yz

Identify the binomial out of the following:

(a) 3xy2 + 5y – x 2 y (b) x2 y – 5y – x 2 y

(c) xy + yz + zx (d) 3xy2 + 5y – xy2

The sum of x4 – xy + 2y2 and –x 4 + xy + 2y2 is

(a) Monomial and polynomial in y (b) Binomial and Polynomial

(c) Trinomial and polynomial (d) Monomial and polynomial in x

The subtraction of 5 times of y from x is

(a) 5x – y (b) y – 5x (c) x – 5y (d) 5y – x

– b – 0 is equal to

(a) –1 × b (b) 1 – b – 0 (c) 0 – (–1) × b (d) – b – 0 – 1

The side length of the top of square table is x. The expression for perimeter is:

(a) 4 + x (b) 2x (c) 4x (d) 8x

The number of scarfs of length half meter that can be made from y meters of cloth is:

(a) 2y (b) y/2 (c) y + 2 (d) y + ½

123x2 y – 138x2 y is a like term of :

(a) 10xy (b) –15xy (c) –15xy2 (d) 10x2 y

The value of 3x2 – 5x + 3 when x = 1 is

(a) 1 (b) 0 (c) –1 (d) 11

The expression for the number of diagonals that we can make from one vertex of a n sided polygon is:

(a) 2n + 1 (b) n – 2 (c) 5n + 2 (d) n – 3

The length of a side of square is given as 2x + 3. Which expression represents the perimeter of the square?

(a) 2x + 16 (b) 6x + 9 (c) 8x + 3 (d) 8x + 12

Sum or difference of two like terms is ________.

In the formula, area of circle = πr2 , the numerical constant of the expression πr2 is ____.

3a2b and –7ba2 are ________ terms.

–5a2b and –5b2a are ________ terms.

In the expression 2πr, the algebraic variable is ________.

Number of terms in a monomial is ________.

Like terms in the expression n(n + 1) + 6 (n – 1) are ___________and ________.

The expression 13 + 90 is a ________.

The speed of car is 55 km/hrs. The distance covered in y hours is ________.

x + y + z is an expression which is neither monomial nor ________.

If (x2 y + y2 + 3) is subtracted from (3x2 y + 2y2 + 5), then coefficient of y in the result is ________.

– a – b – c is same as – a – ( ________ ).

The unlike terms in perimeters of following figures are___ and __.

On adding a monomial _____________ to – 2x + 4y2 + z, the resulting expression becomes a binomial.

3x + 23x2 + 6y2 + 2x + y2 + ____________ = 5x + 7y2 .

If Rohit has 5xy toffees and Shantanu has 20yx toffees, then Shantanu has _____ more toffees.

1 + (x/2) + x3 is a polynomial

(3a – b + 3) – (a + b) is a binomial.

A trinomial can be a polynomial.

A polynomial with more than two terms is a trinomial.

Sum of x and y is x + y.

Sum of 2 and p is 2p.

A binomial has more than two terms.

A trinomial has exactly three terms.

In like terms, variables and their powers are the same.

The expression x + y + 5x is a trinomial.

4p is the numerical coefficient of q2 in – 4pq2 .

5a and 5b are unlike terms

Sum of x2 + x and y + y2 is 2x2 + 2y2 .

Subtracting a term from a given expression is the same as adding its additive inverse to the given expression.

The total number of planets of Sun can be denoted by the variable n.

In like terms, the numerical coefficients should also be the same.

If we add a monomial and binomial, then answer can never be a monomial.

If we subtract a monomial from a binomial, then answer is at least a binomial.

When we subtract a monomial from a trinomial, then answer can be a polynomial.

When we add a monomial and a trinomial, then answer can be a monomial.

Write the following statements in the form of algebraic expressions and write whether it is monomial, binomial or trinomial.

(a) x is multiplied by itself and then added to the product of x and y.

(b) Three times of p and two times of q are multiplied and then subtracted from r.

(c) Product of p, twice of q and thrice of r.

(d) Sum of the products of a and b, b and c and c and a.

(e) Perimeter of an equilateral triangle of side x.

(f) Perimeter of a rectangle with length p and breadth q.

(g) Area of a triangle with base m and height n.

(h) Area of a square with side x.

(i) Cube of s subtracted from cube of t.

(j) Quotient of x and 15 multiplied by x.

(k) The sum of square of x and cube of z.

(l) Two times q subtracted from cube of q.

Write the coefficient of x2 in the following:

(i) x2 – x + 4

(ii) x3 – 2x2 + 3x + 1

(iii) 1 + 2x + 3x2 + 4x3

(iv) y + y2 x + y3 x 2 + y4 x 3

Find the numerical coefficient of each of the terms :

(i) x 3 y 2 z, xy2 z 3 , –3xy2 z 3 , 5x3 y 2 z, –7x2 y 2 z 2

(ii) 10xyz, –7xy2 z, –9xyz, 2xy2 z, 2x2 y 2 z

Ncert exemplar solutions mathematics class 7 Solutions for Chapter 10 algebraic expressions