Mathematics
Grade6
Easy

Question

Use properties of operation to complete the expression: 3(x + 7) = ____ x + ______

  1. 3 and 21    
  2. x and 7    
  3. 7 and 5    
  4. 21 and 3    

Hint:

We are given an algebraic expression. An algebraic expression consists of variables and constants. A variable is a quantity that doesn’t have any fixed value. A constant is a quantity with a fixed value. For this question, we have to perform the operation using the properties and find the missing values.

The correct answer is: 3 and 21


    The given expression is 3(x + 7)
    The above expression has one variable ‘x’.
    The terms inside the bracket are unlike terms. Unlike terms are the terms with different variables or a variable and constant.
    As the terms inside the bracket are unlike term no further operation is possible
    But we can use the distributive property. It states the quantity outside the bracket is distributed equally to the terms inside the bracket.
    So the equation becomes
    3(x + 7) = (3)x + (3)7
    3(x + 7) = 3x + 21
    Therefore, the value of the equation is 3x + 21

    For such questions, we should know different properties of algebraic expressions. We should be careful about different variables too.

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