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.