# NCERT Solutions | Class 7 Maths Chapter 12 | Algebraic Expressions ## CBSE Solutions | Maths Class 7

Check the below NCERT Solutions for Class 7 Maths Chapter 12 Algebraic Expressions Pdf free download. NCERT Solutions Class 7 Maths  were prepared based on the latest exam pattern. We have Provided Algebraic Expressions Class 7 Maths NCERT Solutions to help students understand the concept very well.

### NCERT | Class 7 Maths

Book: National Council of Educational Research and Training (NCERT) Central Board of Secondary Education (CBSE) 7th Maths 12 Algebraic Expressions English

#### Algebraic Expressions | Class 7 Maths | NCERT Books Solutions

You can refer to MCQ Questions for Class 7 Maths Chapter 12 Algebraic Expressions to revise the concepts in the syllabus effectively and improve your chances of securing high marks in your board exams.

### NCERT Solutions for Class 7 Chapter 12 Question 1.

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

1. Subtraction of z from y.
2. One-half of the sum of numbers x and y.
3. The number z multiplied by itself
4. One-fourth of the product of numbers p and q.
5. Numbers x and y both squared and added.
6. Number 5 added to three times the product of numbers m and n.
7. Product of numbers y and z subtracted from 10.
8. Sum of numbers a and b subtracted from their product.

#### Solution:

1. y – z
2. $$\frac { 1 }{ 2 }$$ ( x + y )
3. z2
4. $$\frac { 1 }{ 4 }$$ pq
5. x2 + y2
6. 3mn + 5
7. 10 – yz
8. ab – ( a + b )

### NCERT Solutions for Class 7 Chapter 12 Question 2.

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

(a) x – 3

#### Solution: (b) 1 + x + x2

#### Solution: (c) y – y3

#### Solution: (d) 5xy2 + 7x2y

#### Solution: (e) – ab + 2b2 – 3a2

#### Solution: (ii) Identify terms and factors in the expressions given below :
(a) -4x + 5
(b) -4x + 5y
(c) 5y + 3y2
(d) xy + 2x2 y2
(e) pq + q
(f) 1.2ab – 2.4b + 3.6a
(g) $$\frac{3}{4}$$ x + $$\frac{1}{4}$$
(h) 0.1p2 + 0.2q2

#### Solution: ### NCERT Solutions for Class 7 Chapter 12 Question 3.

Identify the numerical coefficients terms (other than constants) in the following expressions :
(i) 5 – 3t2
(ii) 1 + t + t2 + f3
(iii) x + 2xy + 3y
(iv) 100m + 1000n
(v) – p2q2 + 7 pq
(vi) 1.2a + 0.8b
(vii) 3.14r2
(viii) 2 (l + b)
(ix) 0.1y + 0.01y2

#### Solution: ### NCERT Solutions for Class 7 Chapter 12 Question 4.

(a) Identify terms that contain x and give the coefficient of x.
(i) y2x + y
(ii) 13y2 – 8yx
(iii) x + y + 2
(iv) 5 + z + zx
(v) 1 + x + xy
(vi) 12xy2 + 25
(vii) 7x + xy2

#### Solution: (b) Identify terms that contain y2 and give the coefficient of y2.
(i) 8 – xy2
(ii) 5y2 + 7x
(iii) 2x2y – 15xy2 + 7y2

#### Solution: ### NCERT Solutions for Class 7 Chapter 12 Question 5.

Classify into monomials, binomials, and 4y trinomials
(i) 4y – 7z
(ii) y2
(iii) x + y – xy
(iv) 100
(v) ab – a – b
(vi) 5 – 3t
(vii) 4p2q – 4pq2
(viii) 7mn
(ix) z2 – 3z + 8
(x) a2 + b2
(xi) z2 + z
(xii) 1 + x + x2

#### Solution:

We know that an algebraic expression containing only one term is called a monomial. So, the monomials are : (ii), (iv), and (viii).

We know that an algebraic expression containing two terms is called a binomial. So, the binomials are : (i), (vi), (vii), (x) and (xi).

We know that an algebraic expression containing three terms is called a trinomial. So, the trinomial are : (iii), (v), (ix) and (xii).

### NCERT Solutions for Class 7 Chapter 12 Question 6.

State whether a given pair of terms j is of like or unlike terms:

1. 1,100
2. -7x, $$\frac { 5 }{ 2 }$$ x
3. -29 x, -29 y
4. 14 xy, 42 yx
5. 4m2p, 4mp2
6. 12xz, 12x2 z2.

1. Like
2. Like
3. Unlike
4. Like
5. Unlike
6. Unlike

### NCERT Solutions for Class 7 Chapter 12 Question 7.

Identify like terms in the following:
(a) – xy2, -4yx2, 8x2, 2xy2, 7y, – 11x2, – 100x, – 11yx, 20x2y, – 6x2, y, 2xy, 3x

#### Solution:

In the given terms, like terms are grouped as under : (b) 10pq, 7p, 8q, – p2q2, – 7qp, – 100q,- 23, 12q2p2, – 5p2, 41, 2405p, 78qp, 13p2q, qp2, 701p2

#### Solution:

In the given terms, like terms are grouped as under : 