Mathematics
Grade6
Easy

Question

3 + 3x + 4y + 5z

  1. 3    
  2. 3x    
  3. 4y    
  4. None of the above    

hintHint:

This is an algebraic expression. An algebraic expression consists of two components: a variable and a constant. A variable is a quantity that doesn’t have any fixed value. It takes value according to the conditions. It is denoted by the alphabet. A constant is a quantity with a fixed value. In this question, we are given an expression. We have perform the required operations and find the final value.

The correct answer is: None of the above


    The given expression is 3 + 3x + 4y + z
    There are three variable in the above expression. The variables are: ‘x’, ‘y’, and 'z'. There are four terms in the above expression. We have to perform the operations between them and find the right answer.
    If we see, first term is a constant. And the second, third and fourth term have different variables. Such terms with the different variables are called “unlike terms.” And the terms with same variables are called “unlike terms.”
    For like terms, we can perform the operations between their coefficients by keeping the variable constant. It means we can treat each term as a constant and perform operations like normal operations on constants.
    For the above expression, all terms are unlike terms. So no further operation is possible. So the equation remains same.
    Therefore, the value of the equation is 3 + 3x + 4y + z.
    So option which is ’ 3 + 3x + 4y + z’, is the right option.

    We have to be careful about different variables. Only like terms are operated with each other. So terms with different variables will not get added.

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