Mathematics
Grade6
Easy
Question
Write the equivalent expressions for the following:
2(x + 5)
- 2x + 10
- 3x + 2
- x + 5
- 2
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: 2x + 10
The given expression is 2(x + 5)
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. Distributive property: It states the quantity outside the bracket is distributed equally to the terms inside the bracket.
So the equation becomes
2(x + 5) = 2x + (2)(5)
2(x + 5) = 2x + 10
Therefore, the equivalent expression is 2x + 10
For such questions, we should know the properties required to solve algebraic expression.
