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.
    Use graphical method to solve the system of linear equations : $x = -3$ and $5x - 2y = -5$.


      • 2.
        Prove that: $\frac{\tan \theta}{1 - \cot \theta} + \frac{\cot \theta}{1 - \tan \theta} = 1 + \tan \theta + \cot \theta$


          • 3.
            The value of p for which roots of the quadratic equation $x^2 - px + 6 = 0$ are rational, is

              • $1$
              • $-5$
              • $25$
              • $\sqrt{5}$

            • 4.
              Prove that $14 - 2\sqrt{3}$ is an irrational number, given that $\sqrt{3}$ is irrational.


                • 5.
                  Assertion (A) : The system of linear equations $3x - 5y + 7 = 0$ and $-6x + 10y + 14 = 0$ is inconsistent.
                  Reason (R) : When two linear equations don't have unique solution, they always represent parallel lines.

                    • 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.

                  • 6.
                    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.

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