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NCERT solutions for Mathematics [English] Class 7 chapter 10 - Algebraic Expressions [Latest edition]

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NCERT solutions for Mathematics [English] Class 7 chapter 10 - Algebraic Expressions - Shaalaa.com
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Solutions for Chapter 10: Algebraic Expressions

Below listed, you can find solutions for Chapter 10 of CBSE NCERT for Mathematics [English] Class 7.


EXERCISE 10.1EXERCISE 10.2
EXERCISE 10.1 [Pages 165 - 166]

NCERT solutions for Mathematics [English] Class 7 10 Algebraic Expressions EXERCISE 10.1 [Pages 165 - 166]

EXERCISE 10.1 | Q 1. (i) | Page 165

Get the algebraic expression in the following case using variables, constants and arithmetic operation.

Subtraction of z from y

EXERCISE 10.1 | Q 1. (ii) | Page 165

Get the algebraic expression in the following case using variables, constants and arithmetic operations.

One-half of the sum of numbers x and y.

EXERCISE 10.1 | Q 1. (iii) | Page 165

Get the algebraic expression in the following case using variables, constants and arithmetic operations.

The number z multiplied by itself.

EXERCISE 10.1 | Q 1. (iv) | Page 165

Get the algebraic expression in the following case using variables, constants and arithmetic operations.

One-fourth of the product of numbers p and q.

EXERCISE 10.1 | Q 1. (v) | Page 165

Get the algebraic expression in the following case using variables, constants and arithmetic operations.

Numbers x and y both squared and added.

EXERCISE 10.1 | Q 1. (vi) | Page 165

Get the algebraic expression in the following case using variables, constants and arithmetic operations.

Number 5 added to three times the product of numbers m and n.

EXERCISE 10.1 | Q 1. (vii) | Page 165

Get the algebraic expression in the following case using variables, constants and arithmetic operations.

Product of numbers y and z subtracted from 10.

EXERCISE 10.1 | Q 1. (viii) | Page 165

Get the algebraic expression in the following case using variables, constants and arithmetic operations.

Sum of numbers a and b subtracted from their product.

EXERCISE 10.1 | Q 2. (i) (a) | Page 165

Identify the term and its factor in the following expression.

Show the term and factor by tree diagram.

x − 3

EXERCISE 10.1 | Q 2. (i) (b) | Page 165

Identify the term and its factor in the following expression.

Show the term and factor by tree diagram.

1 + x + x2

EXERCISE 10.1 | Q 2. (i) (c) | Page 165

Identify the term and its factor in the following expression.

Show the term and factor by tree diagram.

y − y3

EXERCISE 10.1 | Q 2. (i) (d) | Page 165

Identify the term and its factor in the following expression.

Show the term and factor by tree diagram.

5xy2 + 7x2y

EXERCISE 10.1 | Q 2. (i) (e) | Page 165

Identify the term and its factor in the following expression.

Show the term and factor by tree diagram.

− ab + 2b2 − 3a2

EXERCISE 10.1 | Q 2. (ii) (a) | Page 165

Identify term and factor in the expression given below:

− 4x + 5 

EXERCISE 10.1 | Q 2. (ii) (b) | Page 165

Identify term and factor in the expression given below:

− 4x + 5y

EXERCISE 10.1 | Q 2. (ii) (c) | Page 165

Identify term and factor in the expression given below:

5y + 3y2

EXERCISE 10.1 | Q 2. (ii) (d) | Page 165

Identify term and factor in the expression given below:

xy + 2x2y2

EXERCISE 10.1 | Q 2. (ii) (e) | Page 165

Identify term and factor in the expression given below:

pq + q

EXERCISE 10.1 | Q 2. (ii) (f) | Page 165

Identify term and factor in the expression given below:

1.2 ab – 2.4 b + 3.6 a

EXERCISE 10.1 | Q 2. (ii) (g) | Page 166

Identify term and factor in the expression given below:

`3/4 x + 1/4`

EXERCISE 10.1 | Q 2. (ii) (h) | Page 166

Identify term and factor in the expression given below:

0.1 p2 + 0.2 q2

EXERCISE 10.1 | Q 3. (i) | Page 166

Identify the numerical coefficient of term (other than constant) in the following expression:

5 − 3t2

EXERCISE 10.1 | Q 3. (ii) | Page 166

Identify the numerical coefficient of term (other than constant) in the following expression:

1 + t + t2 + t3

EXERCISE 10.1 | Q 3. (iii) | Page 166

Identify the numerical coefficient of term (other than constant) in the following expression:

x + 2xy + 3y

EXERCISE 10.1 | Q 3. (iv) | Page 166

Identify the numerical coefficient of term (other than constant) in the following expression:

100m + 1000n

EXERCISE 10.1 | Q 3. (v) | Page 166

Identify the numerical coefficient of term (other than constant) in the following expression:

− p2q2 + 7pq

EXERCISE 10.1 | Q 3. (vi) | Page 166

Identify the numerical coefficient of term (other than constant) in the following expression:

1.2 a + 0.8 b

EXERCISE 10.1 | Q 3. (vii) | Page 166

Identify the numerical coefficient of term (other than constant) in the following expression:

3.14 r2

EXERCISE 10.1 | Q 3. (viii) | Page 166

Identify the numerical coefficient of term (other than constant) in the following expression:

2(l + b)

EXERCISE 10.1 | Q 3. (ix) | Page 166

Identify the numerical coefficient of term (other than constant) in the following expression:

0.1 y + 0.01 y2

EXERCISE 10.1 | Q 4. (a) (i) | Page 166

Identify term which contain x and give the coefficient of x.

y2x + y

EXERCISE 10.1 | Q 4. (a) (ii) | Page 166

Identify term which contain x and give the coefficient of x.

13y2 − 8yx

EXERCISE 10.1 | Q 4. (a) (iii) | Page 166

Identify term which contain x and give the coefficient of x.

x + y + 2

EXERCISE 10.1 | Q 4. (a) (iv) | Page 166

Identify term which contain x and give the coefficient of x.

5 + z + zx

EXERCISE 10.1 | Q 4. (a) (v) | Page 166

Identify term which contain x and give the coefficient of x.

1 + x + xy

EXERCISE 10.1 | Q 4. (a) (vi) | Page 166

Identify term which contain x and give the coefficient of x.

12xy2 + 25

EXERCISE 10.1 | Q 4. (a) (vii) | Page 166

Identify term which contain x and give the coefficient of x.

7x + xy2

EXERCISE 10.1 | Q 4. (b) (i) | Page 166

Identify term which contain y2 and give the coefficient of y2.

8 - xy2

EXERCISE 10.1 | Q 4. (b) (ii) | Page 166

Identify term which contain y2 and give the coefficient of y2.

5y2 + 7x

EXERCISE 10.1 | Q 4. (b) (iii) | Page 166

Identify term which contain y2 and give the coefficient of y2.

2x2y - 15xy2 + 7y2

EXERCISE 10.1 | Q 5. (i) | Page 166

Classify into monomials, binomials and trinomials.

4y − 7z

EXERCISE 10.1 | Q 5. (ii) | Page 166

Classify into monomials, binomials and trinomials.

y2

EXERCISE 10.1 | Q 5. (iii) | Page 166

Classify into monomials, binomials and trinomials.

x + y − xy

EXERCISE 10.1 | Q 5. (iv) | Page 166

Classify into monomials, binomials and trinomials.

100

EXERCISE 10.1 | Q 5. (v) | Page 166

Classify into monomials, binomials and trinomials.

ab − a − b

EXERCISE 10.1 | Q 5. (vi) | Page 166

Classify into monomials, binomials and trinomials.

5 − 3t

EXERCISE 10.1 | Q 5. (vii) | Page 166

Classify into monomials, binomials and trinomials.

4p2q − 4pq2

EXERCISE 10.1 | Q 5. (viii) | Page 166

Classify into monomials, binomials and trinomials.

7mn

EXERCISE 10.1 | Q 5. (ix) | Page 166

Classify into monomials, binomials and trinomials.

z2 − 3z + 8

EXERCISE 10.1 | Q 5. (x) | Page 166

Classify into monomials, binomials and trinomials.

a2 + b2

EXERCISE 10.1 | Q 5. (xi) | Page 166

Classify into monomials, binomials and trinomials.

z2 + z

EXERCISE 10.1 | Q 5. (xii) | Page 166

Classify into monomials, binomials and trinomials.

1 + x + x2

EXERCISE 10.1 | Q 6. (i) | Page 166

State whether a given pair of term is of like or unlike term.

1,100

  • Like

  • Unlike

EXERCISE 10.1 | Q 6. (ii) | Page 166

State whether a given pair of term is of like or unlike term.

`-7x, 5/2 x`

  • Like

  • Unlike

EXERCISE 10.1 | Q 6. (iii) | Page 166

State whether a given pair of term is of like or unlike term.

−29x, −29y

  • Like

  • Unlike

EXERCISE 10.1 | Q 6. (iv) | Page 166

State whether a given pair of term is of like or unlike term.

14xy, 42yx

  • Like

  • Unlike

EXERCISE 10.1 | Q 6. (v) | Page 166

State whether a given pair of term is of like or unlike term.

4m2p, 4mp2

  • Like

  • Unlike

EXERCISE 10.1 | Q 6. (vi) | Page 166

State whether a given pair of term is of like or unlike term.

12xz, 12x2z2

  • Like

  • Unlike

EXERCISE 10.1 | Q 7. (a) | Page 166

Identify like term in the following:

−xy2, − 4yx2, 8x2, 2xy2, 7y, −11x2, −100x, −11yx, 20x2y, −6x2, y, 2xy, 3x

EXERCISE 10.1 | Q 7. (b) | Page 166

Identify like term in the following:

10pq, 7p, 8q, −p2q2, −7qp, −100q, −23, 12q2p2, −5p2, 41, 2405p, 78qp, 13p2q, qp2, 701p2

EXERCISE 10.2 [Pages 168 - 169]

NCERT solutions for Mathematics [English] Class 7 10 Algebraic Expressions EXERCISE 10.2 [Pages 168 - 169]

EXERCISE 10.2 | Q 1. (i) | Page 168

If m = 2, find the value of m − 2.

EXERCISE 10.2 | Q 1. (ii) | Page 168

If m = 2, find the value of 3m − 5.

EXERCISE 10.2 | Q 1. (iii) | Page 168

If m = 2, find the value of 9 - 5m.

EXERCISE 10.2 | Q 1. (iv) | Page 168

If m = 2, find the value of 3m2 − 2m − 7.

EXERCISE 10.2 | Q 1. (v) | Page 168

If m = 2, find the value of `(5m)/2 - 4`.

EXERCISE 10.2 | Q 2. (i) | Page 168

If p = −2, find the value of 4p + 7.

EXERCISE 10.2 | Q 2. (ii) | Page 168

If p = -2, find the value of −3p2 + 4p + 7.

EXERCISE 10.2 | Q 2. (iii) | Page 168

If p = -2, find the value of -2p3 - 3p2 + 4p + 7.

EXERCISE 10.2 | Q 3. (i) | Page 168

Find the value of the following expression, when x = −1:

2x - 7

EXERCISE 10.2 | Q 3. (ii) | Page 168

Find the value of the following expression, when x = -1:

-x + 2

EXERCISE 10.2 | Q 3. (iii) | Page 168

Find the value of the following expression, when x = -1:

x2 + 2x + 1

EXERCISE 10.2 | Q 3. (iv) | Page 168

Find the value of the following expression, when x = −1:

2x2 − x − 2

EXERCISE 10.2 | Q 4. (i) | Page 168

If a = 2, b = −2, find the value of a2 + b2.

EXERCISE 10.2 | Q 4. (ii) | Page 168

If a = 2, b = −2, find the value of a2 + ab + b2.

EXERCISE 10.2 | Q 4. (iii) | Page 168

If a = 2, b = −2, find the value of a2 − b2.

EXERCISE 10.2 | Q 5. (i) | Page 168

When a = 0, b = −1, find the value of the given expression:

2a + 2b

EXERCISE 10.2 | Q 5. (ii) | Page 168

When a = 0, b = −1, find the value of the given expression:

2a2 + b2 + 1

EXERCISE 10.2 | Q 5. (iii) | Page 168

When a = 0, b = −1, find the value of the given expression:

2a2 b + 2ab2 + ab

EXERCISE 10.2 | Q 5. (iv) | Page 168

When a = 0, b = −1, find the value of the given expression:

a2 + ab + 2

EXERCISE 10.2 | Q 6. (i) | Page 168

Simplify the expression and find the value if x is equal to 2:

x + 7 + 4 (x - 5)

EXERCISE 10.2 | Q 6. (ii) | Page 168

Simplify the expression and find the value if x is equal to 2:

3 (x + 2) + 5x - 7

EXERCISE 10.2 | Q 6. (iii) | Page 168

Simplify the expression and find the value if x is equal to 2.

6x + 5 (x − 2)

EXERCISE 10.2 | Q 6. (iv) | Page 168

Simplify the expression and find the value if x is equal to 2:

4 (2x - 1) + 3x + 11

EXERCISE 10.2 | Q 7. (i) | Page 168

Simplify this expression and find its value if x = 3, a = −1, b = −2.

3x - 5 - x + 9

EXERCISE 10.2 | Q 7. (ii) | Page 168

Simplify this expression and find its value if x = 3, a = -1, b = -2.

2 - 8x + 4x + 4

EXERCISE 10.2 | Q 7. (iii) | Page 169

Simplify this expression and find its value if x = 3, a = −1, b = −2.

3a + 5 - 8a + 1

EXERCISE 10.2 | Q 7. (iv) | Page 169

Simplify this expression and find its value if x = 3, a = −1, b = −2.

10 - 3b - 4 - 5b

EXERCISE 10.2 | Q 7. (v) | Page 169

Simplify this expression and find its value if x = 3, a = −1, b = −2.

2a - 2b - 4 - 5 + a

EXERCISE 10.2 | Q 8. (i) | Page 169

If z = 10, find the value of z3 − 3 (z − 10).

EXERCISE 10.2 | Q 8. (ii) | Page 169

If p = −10, find the value of p2 − 2p − 100.

EXERCISE 10.2 | Q 9. | Page 169

What should be the value of a if the value of 2x2 + x − a equals to 5, when x = 0?

EXERCISE 10.2 | Q 10. | Page 169

Simplify the expression and find its value when a = 5 and b = −3.

2 (a2 + ab) + 3 − ab

Solutions for 10: Algebraic Expressions

EXERCISE 10.1EXERCISE 10.2
NCERT solutions for Mathematics [English] Class 7 chapter 10 - Algebraic Expressions - Shaalaa.com

NCERT solutions for Mathematics [English] Class 7 chapter 10 - Algebraic Expressions

Shaalaa.com has the CBSE Mathematics Mathematics [English] Class 7 CBSE solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. NCERT solutions for Mathematics Mathematics [English] Class 7 CBSE 10 (Algebraic Expressions) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams.

Further, we at Shaalaa.com provide such solutions so students can prepare for written exams. NCERT textbook solutions can be a core help for self-study and provide excellent self-help guidance for students.

Concepts covered in Mathematics [English] Class 7 chapter 10 Algebraic Expressions are Algebraic Expressions, Terms, Factors and Coefficients of Expression, Like and Unlike Terms, Types of Algebraic Expressions as Monomials, Binomials, Trinomials, and Polynomials, Addition of Algebraic Expressions, Evaluation of Algebraic Expressions by Substituting a Value for the Variable., Subtraction of Algebraic Expressions, Use of Variables in Common Rules, Algebraic Expressions, Terms, Factors and Coefficients of Expression, Like and Unlike Terms, Types of Algebraic Expressions as Monomials, Binomials, Trinomials, and Polynomials, Addition of Algebraic Expressions, Evaluation of Algebraic Expressions by Substituting a Value for the Variable., Subtraction of Algebraic Expressions, Use of Variables in Common Rules.

Using NCERT Mathematics [English] Class 7 solutions Algebraic Expressions exercise by students is an easy way to prepare for the exams, as they involve solutions arranged chapter-wise and also page-wise. The questions involved in NCERT Solutions are essential questions that can be asked in the final exam. Maximum CBSE Mathematics [English] Class 7 students prefer NCERT Textbook Solutions to score more in exams.

Get the free view of Chapter 10, Algebraic Expressions Mathematics [English] Class 7 additional questions for Mathematics Mathematics [English] Class 7 CBSE, and you can use Shaalaa.com to keep it handy for your exam preparation.

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