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

Class 7 Maths Study Guides:

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

CBSE X Related Questions

1.
If \( \alpha, \beta \) are the zeroes of the quadratic polynomial \( px^2 + qx + r \), then find the value of \( \alpha^3\beta + \beta^3\alpha \).
View Solution
2.
A bag contains 25 balls. Some of them are yellow and others are green. One ball is drawn at random. If probability of getting a green ball is \(3/5\), then find the number of yellow balls.
View Solution
3.
In the figure given above, \(\triangle ABC \sim \triangle XYZ\), then find the values of \(x\) and \(y\).
View Solution
4.
In the given figure, \(AB \parallel DE\) and \(AC \parallel DF\). Show that \(\triangle ABC \sim \triangle DEF\). If \(BC = 10\) cm, \(EB = CF = 5\) cm and \(AB = 7\) cm, then find the length DE.
View Solution
5.
The natural number 1 is :
- a prime number.
- a composite number.
- prime as well as composite.
- neither prime nor composite.
View Solution
6.
Prove that : \( \frac{\sec^3 \theta}{\sec^2 \theta - 1} + \frac{\text{cosec}^3 \theta}{\text{cosec}^2 \theta - 1} = \sec \theta \cdot \text{cosec} \theta (\sec \theta + \text{cosec} \theta) \)
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.
If \( \alpha, \beta \) are the zeroes of the quadratic polynomial \( px^2 + qx + r \), then find the value of \( \alpha^3\beta + \beta^3\alpha \).

2.
A bag contains 25 balls. Some of them are yellow and others are green. One ball is drawn at random. If probability of getting a green ball is \(3/5\), then find the number of yellow balls.

3.
In the figure given above, \(\triangle ABC \sim \triangle XYZ\), then find the values of \(x\) and \(y\).

4.
In the given figure, \(AB \parallel DE\) and \(AC \parallel DF\). Show that \(\triangle ABC \sim \triangle DEF\). If \(BC = 10\) cm, \(EB = CF = 5\) cm and \(AB = 7\) cm, then find the length DE.

5.
The natural number 1 is :

6.
Prove that : \( \frac{\sec^3 \theta}{\sec^2 \theta - 1} + \frac{\text{cosec}^3 \theta}{\text{cosec}^2 \theta - 1} = \sec \theta \cdot \text{cosec} \theta (\sec \theta + \text{cosec} \theta) \)

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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.If \( \alpha, \beta \) are the zeroes of the quadratic polynomial \( px^2 + qx + r \), then find the value of \( \alpha^3\beta + \beta^3\alpha \).

2.A bag contains 25 balls. Some of them are yellow and others are green. One ball is drawn at random. If probability of getting a green ball is \(3/5\), then find the number of yellow balls.

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

4.In the given figure, \(AB \parallel DE\) and \(AC \parallel DF\). Show that \(\triangle ABC \sim \triangle DEF\). If \(BC = 10\) cm, \(EB = CF = 5\) cm and \(AB = 7\) cm, then find the length DE.

5.The natural number 1 is :

6.Prove that : \( \frac{\sec^3 \theta}{\sec^2 \theta - 1} + \frac{\text{cosec}^3 \theta}{\text{cosec}^2 \theta - 1} = \sec \theta \cdot \text{cosec} \theta (\sec \theta + \text{cosec} \theta) \)

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

1.
If \( \alpha, \beta \) are the zeroes of the quadratic polynomial \( px^2 + qx + r \), then find the value of \( \alpha^3\beta + \beta^3\alpha \).

2.
A bag contains 25 balls. Some of them are yellow and others are green. One ball is drawn at random. If probability of getting a green ball is \(3/5\), then find the number of yellow balls.

3.
In the figure given above, \(\triangle ABC \sim \triangle XYZ\), then find the values of \(x\) and \(y\).

4.
In the given figure, \(AB \parallel DE\) and \(AC \parallel DF\). Show that \(\triangle ABC \sim \triangle DEF\). If \(BC = 10\) cm, \(EB = CF = 5\) cm and \(AB = 7\) cm, then find the length DE.

5.
The natural number 1 is :

6.
Prove that : \( \frac{\sec^3 \theta}{\sec^2 \theta - 1} + \frac{\text{cosec}^3 \theta}{\text{cosec}^2 \theta - 1} = \sec \theta \cdot \text{cosec} \theta (\sec \theta + \text{cosec} \theta) \)