Mathematics
Grade6
Easy
Question
Write an equivalent expression of 4(m + 3).
- 4m + 6
- 4m + 12
- 12m + 3
- 3m + 12
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 equivalent expression.
The correct answer is: 4m + 12
The given expression is 4(m + 3)
The above expression has one variable ‘m’.
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
4(m + 3) = (4)m + (4)(3)
4(m + 3) = 4m + 12
Therefore, the value of the equation is 4m + 12.
For such questions, we should be familiar with the properties required to solve algebraic expression. We should be careful about the variables present in the expression
