Question

Can we add or subtract constants and variables?
With examples

Answer 1

Answer:

Whether you add or subtract variables, you follow the same rule, even though they have different operations: when adding or subtracting terms that have exactly the same variables, you either add or subtract the coefficients, and let the result stand with the variable.

For example:

+Addition.

In this equation, you can add all of the coefficients (2, 5, and 4) because the variables are the same (a).

2a + 5a + 4a = 11a

--Subtraction. In this equation, you can subtract all of the coefficients (11, 5, and 4) because the variables are the same (a).

11a – 5a – 4a = 2a

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Constants and Variables are the two types of symbols in algebra.

Constants

A symbol which has a fixed numerical value is called a constant.

for examples

2, 5, 0, -3, -7, 2/7, 7/9 etc., are constants.

Number of days in a week represents a constant.

In the expression 5x + 7, the constant term is 7.

Variables:

A quantity which has no fixed value but takes no various numerical values is called a variable.

for example

Temperature at different times of a day represents a variable.

The height of a student in your grade is a variable, as it varies from student to student. A variable is denoted by a letter like x, y, z, u, v etc.

A combination of a constant and a variable is also a variable.

examples on constant and variables

(i) In 2a, 2 is a constant and a is a variable.

(ii) In -7mn, -7 is a constant and m and n are variables.

(iii) In 3x, 3 is constant and x is variable but together 3x is a variable.

(iv) If 3 is a constant and x is a variable, then 3 + x, 3 - x, 3/x, 3x, x/3, etc., are also variables.

So, we conclude that the combination of a constant and a variable is always a variable.