**NCERT
Solutions for Class 7 Maths Chapter 10 ****Algebraic Expressions**** Ex 10.1 ****(Rationalised Contents)**

NCERT Solutions for Class 7 Maths Chapter 10 Algebraic Expressions Ex 10.1 are the part of NCERT Solutions for Class 7 Maths (Rationalised Contents). Here you can find
the NCERT Solutions for Class 7 Maths Chapter 10 Algebraic Expressions Ex 10.1.

**NCERT Solutions for Class 7 Maths Chapter 10 Algebraic Expressions Ex 10.1****NCERT Solutions for Class 7 Maths Chapter 10 Algebraic Expressions Ex 10.2**

**Ex 10.1 Class 7 Maths Question 1.**

### Get the algebraic expressions in the following cases using variables, constants and arithmetic operations:

(i) Subtraction of z from y.

(ii) One half of the sum of numbers x and y.

(iii) The number z multiplied by itself.

(iv) One-fourth of the product of numbers p and q.

(v) Numbers x and y both squared and added.

(vi) Number 5 added to three times the product of number m and n.

(vii) Product of numbers y and z subtracted from 10.

(viii) Sum of numbers a and b subtracted from their product.

**Solution:**(i) Subtraction of z from y

Algebraic Expression: y – z

(ii) One half of the sum of numbers x and y

Algebraic Expression: ½ (x + y)

(iii) The number z multiplied by itself.

Algebraic Expression: z × z = z^{2}

(iv) One-fourth of the product of numbers p and q

Algebraic Expression: ¼ pq or pq/4

(v) Numbers x and y both squared and added

Algebraic Expression: x^{2} + y^{2}

(vi) Number 5 added to three times the product of number m and n

Algebraic Expression: 3mn + 5

(vii) Product of numbers y and z subtracted from 10

Algebraic Expression: 10 – yz

(viii) Sum of numbers a and b subtracted from their product

Algebraic Expression: ab – (a + b) or ab – a – b

**Ex 10.1 Class 7 Maths Question 2.**

### (i) Identify the terms and their factors in the following expressions. Show the terms and factors by tree diagrams.

(a) x – 3

(b) 1 + x + x^{2}

(c) y – y^{3}

(d) 5xy^{2} + 7x^{2}y

(e) -ab + 2b^{2} – 3a^{2}

**Solution:**

(ii) Identify terms and factors in the expression given below:

(a) -4x + 5

(b) -4x + 5y

(c) 5y + 3y^{2}

(d) xy + 2x^{2}y^{2}

(e) pq + q

(f) 1.2ab – 2.4b + 3.6a

(g) ¾ x + ¼

(h) 0.1p^{2} + 0.2q^{2}

**Solution:**

**Ex 10.1 Class 7 Maths Question 3.**

### Identify the numerical coefficients of terms (other than constants) in the following expressions:

(i) 5 – 3t^{2}

(ii) 1 + t + t^{2} + t^{3}

(iii) x + 2xy + 3y

(iv) 100m + 1000n

(v) -p^{2}q^{2} + 7pq

(vi) 1.2 a + 0.8 b

(vii) 3.14 r^{2}

(viii) 2(l + b)

(ix) 0.1 y + 0.01 y^{2}

**Solution:**

**Ex 10.1 Class 7 Maths Question 4.**

### (a) Identify terms which contain x and give the coefficient of x.

(i) y^{2}x + y

(ii) 13y^{2} – 8yx

(iii) x + y + 2

(iv) 5 + z + zx

(v) 1 + x + xy

(vi) 12xy^{2} + 25

(vii) 7x + xy^{2}

**Solution:**

(b) Identify terms which contain y^{2} and give the coefficient of y^{2}.

(i) 8 – xy^{2}

(ii) 5y^{2} + 7x

(iii) 2x^{2}y – 15xy^{2} + 7y^{2}

**Solution:**

**Ex 10.1 Class 7 Maths Question 5.**

### Classify into monomials, binomials and trinomials:

(i) 4y – 7z

(ii) y^{2}

(iii) x + y – xy

(iv) 100

(v) ab – a – b

(vi) 5 – 3t

(vii) 4p^{2}q – 4pq^{2}

(viii) 7mn

(ix) z^{2} – 3z + 8

(x) a^{2} + b^{2}

(xi) z^{2} + z

(xii) 1 + x + x^{2}

**Solution:**(i) 4y – 7z : Binomial

(ii) y

^{2}: Monomial

(iii) x + y – xy : Trinomial

(iv) 100 : Monomial

(v) ab – a – b : Trinomial

(vi) 5 – 3t : Binomial

(vii) 4p

^{2}q – 4pq

^{2}: Binomial

(viii) 7mn : Monomial

(ix) z

^{2}– 3z + 8 : Trinomial

(x) a

^{2}+ b

^{2}: Binomial

(xi) z

^{2}+ z : Binomial

(xii) 1 + x + x

^{2}: Trinomial

**Ex 10.1 Class 7 Maths Question 6.**

### State whether a given pair of terms is of like or unlike terms.

(i) 1, 100

(ii) -7x, 52x

(iii) -29x, -29y

(iv) 14xy, 42yx

(v) 4m^{2}p, 4mp^{2}

(vi) 12xz, 12 x^{2}y^{2}

**Solution:**(i) 1, 100 : Like terms

(ii) -7x, 5/2 x : Like terms

(iii) -29x, -29y : Unlike terms

(iv) 14xy, 42yx : Like terms

(v) 4m

^{2}p, 4mp

^{2}: Unlike terms

(vi) 12xz, 12x

^{2}z

^{2}: Unlike terms

**Ex 10.1 Class 7 Maths Question 7.**

### Identify like terms in the following:

(a) -xy^{2}, -4yx^{2}, 8x^{2}, 2xy^{2}, 7y, -11x^{2}, -100x, -11yx, 20x^{2}y, -6x^{2}, y, 2xy, 3x

(b) 10pq, 7p, 8q, -p^{2}q^{2}, -7qp, -100q, -23, 12q^{2}p^{2}, -5p^{2}, 41, 2405p, 78qp, 13p^{2}q, qp^{2}, 701p^{2}

**Solution:**(a) Like terms are:

(i) -xy

^{2}, 2xy

^{2}

(ii) -4yx

^{2}, 20x

^{2}y

(iii) 8x

^{2}, -11x

^{2}, -6x

^{2}

(iv) 7y, y

(v) -100x, 3x

(vi) -11yx, 2xy

(b) Like terms are:

(i) 10pq, –7qp, 78qp

(ii) 7p, 2405p

(iii) 8q, -100q

(iv) -p^{2}q^{2}, 12q^{2}p^{2}

(v) -23, 41

(vi) -5p^{2}, 701p^{2}

(vii) 13p^{2}q, qp^{2}

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