NCERT Solutions for Class 7 Mathematics Chapter 12: Algebraic Expressions

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Algebraic Expressions are provided in the article below. Algebraic Expression, also known as Variable Expression is made up of various terms such as addition, subtraction, multiplication, division, etc. Thus, we can say that 7x + 5 is an example of an algebraic expression. Some of the important topics in the Algebraic Expressions chapter include:

Download PDF: NCERT Solutions for Class 7 Mathematics Chapter 12 pdf

NCERT Solutions for Class 7 Mathematics Chapter 12

NCERT Solutions for Class 7 Mathematics Chapter 12 Algebraic Expressions is given below

NCERT Solutions

NCERT Solutions for Class 7 Mathematics

Algebraic Expression: Algebraic Expression is the combination of constants and variables connected by mathematical operators such as addition, subtraction, multiplication and division. Eg: 5x + 3y = 2

Constants: Constants are terms whose value does not change.

Variables: Variables are terms whose value changes. These are represented in terms of alphabets.

Example 1: Add 5x + 2y + 4 = 0 and 2x + 8y + 2 = 0

Ans. Adding (5x + 2y + 4 = 0) and (2x + 8y + 2 = 0)

we get,

7x + 10y + 6 = 0

Example 2: Expand (6x +2)²

Ans. We know that,

(a + b)² = a² + b² + 2ab

(6x + 2)²= (6x)² + 2² + 2. 6x . 2

= 36x²+24x + 4

NCERT Solutions for Class 7 Maths Chapter 12 Exercises

NCERT Solutions for Class 7 Maths Chapter 12 Algebraic Expressions Exercises are given below.

Read More:

Like and Unlike Terms	Multiplication of algebraic terms	Variables and Constants

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NCERT Solutions for Class 7 Maths	Number System	Geometry
Arithmetics	Basic Maths	Maths Formulas

CBSE X Related Questions

1.
Assertion (A) : H.C.F. $(36 m^{2}, 18 m) = 18 m$, where $m$ is a prime number.
Reason (R) : H.C.F. of two numbers is always less than or equal to the smaller number.
- Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
- Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
- Assertion (A) is true, but Reason (R) is false.
- Assertion (A) is false, but Reason (R) is true.
View Solution
2.
The natural number 1 is :
- a prime number.
- a composite number.
- prime as well as composite.
- neither prime nor composite.
View Solution
3.
The HCF of 960 and 432 is :
- 48
- 54
- 72
- 36
View Solution
4.
Two water taps together can fill a tank in $8\frac{8}{9}$ hours. The tap of larger diameter takes 4 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.
View Solution
5.
In the figure given above, $\triangle ABC \sim \triangle XYZ$, then find the values of $x$ and $y$.
View Solution
6.
Prove that :
$\frac{\tan \theta}{1 - \cot \theta} + \frac{\cot \theta}{1 - \tan \theta} = 1 + \tan \theta + \cot \theta$.
View Solution

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NCERT Solutions for Class 7 Mathematics Chapter 12: Algebraic Expressions

Download PDF: NCERT Solutions for Class 7 Mathematics Chapter 12 pdf

NCERT Solutions for Class 7 Mathematics Chapter 12

NCERT Solutions for Class 7 Mathematics

NCERT Solutions for Class 7 Maths Chapter 12 Exercises

CBSE X Related Questions

1.
Assertion (A) : H.C.F. \((36 m^{2}, 18 m) = 18 m\), where \(m\) is a prime number.
Reason (R) : H.C.F. of two numbers is always less than or equal to the smaller number.

2.
The natural number 1 is :

3.
The HCF of 960 and 432 is :

4.
Two water taps together can fill a tank in $8\frac{8}{9}$ hours. The tap of larger diameter takes 4 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.

5.
In the figure given above, \(\triangle ABC \sim \triangle XYZ\), then find the values of \(x\) and \(y\).

6.
Prove that :
\(\frac{\tan \theta}{1 - \cot \theta} + \frac{\cot \theta}{1 - \tan \theta} = 1 + \tan \theta + \cot \theta\).

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NCERT Solutions for Class 7 Mathematics Chapter 12: Algebraic Expressions

​Download PDF: NCERT Solutions for Class 7 Mathematics Chapter 12 pdf

NCERT Solutions for Class 7 Mathematics Chapter 12

NCERT Solutions for Class 7 Mathematics

NCERT Solutions for Class 7 Maths Chapter 12 Exercises

CBSE X Related Questions

1.Assertion (A) : H.C.F. \((36 m^{2}, 18 m) = 18 m\), where \(m\) is a prime number. Reason (R) : H.C.F. of two numbers is always less than or equal to the smaller number.

2.The natural number 1 is :

3.The HCF of 960 and 432 is :

4.Two water taps together can fill a tank in $8\frac{8}{9}$ hours. The tap of larger diameter takes 4 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.

5.In the figure given above, \(\triangle ABC \sim \triangle XYZ\), then find the values of \(x\) and \(y\).

6.Prove that : \(\frac{\tan \theta}{1 - \cot \theta} + \frac{\cot \theta}{1 - \tan \theta} = 1 + \tan \theta + \cot \theta\).

Comments

SUBSCRIBE TO OUR NEWS LETTER

Download PDF: NCERT Solutions for Class 7 Mathematics Chapter 12 pdf

1.
Assertion (A) : H.C.F. \((36 m^{2}, 18 m) = 18 m\), where \(m\) is a prime number.
Reason (R) : H.C.F. of two numbers is always less than or equal to the smaller number.

2.
The natural number 1 is :

3.
The HCF of 960 and 432 is :

4.
Two water taps together can fill a tank in $8\frac{8}{9}$ hours. The tap of larger diameter takes 4 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.

5.
In the figure given above, \(\triangle ABC \sim \triangle XYZ\), then find the values of \(x\) and \(y\).

6.
Prove that :
\(\frac{\tan \theta}{1 - \cot \theta} + \frac{\cot \theta}{1 - \tan \theta} = 1 + \tan \theta + \cot \theta\).