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:

  1. Bodmas rule
  2. Additive inverse
  3. Addition And Subtraction Of Integers
  4. Number Systems

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

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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)= (6x)2 + 22 + 2. 6x . 2

= 36x+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.

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Class 7 Maths Study Guides:

CBSE X Related Questions

  • 1.
    In the given figure, $AB \parallel DE$ and $AC \parallel DF$. Show that $\Delta ABC \sim \Delta DEF$. If $BC = 10\text{ cm}$, $EB = CF = 5\text{ cm}$ and $AB = 7\text{ cm}$, then find the length $DE$.


      • 2.
        The dimensions of a window are $156\text{ cm} \times 216\text{ cm}$. Arjun wants to put grill on the window creating complete squares of maximum size. Determine the side length of the square and hence find the number of squares formed.


          • 3.
            The natural number 1 is :

              • a prime number.
              • a composite number.
              • prime as well as composite.
              • neither prime nor composite.

            • 4.
              An arc of length $2.2\text{ cm}$ subtends an angle $\theta$ at the centre of the circle with radius $2.8\text{ cm}$. The value of $\theta$ is

                • $50^\circ$
                • $60^\circ$
                • $45^\circ$
                • $30^\circ$

              • 5.
                In the given figure, point D divides the side BC of $\Delta ABC$ in the ratio $1 : 2$. Find length AD.


                  • 6.
                    A chord of a circle, of radius 14 cm, subtends an angle of $60^\circ$ at the centre. Find the area of the smaller sector and perimeter of the smaller segment.

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