Mathematics

Grade6

Easy

Question

# Simplify the expression 4x + 5 + 6x.

- 10x + 5
- 11x + 2
- 9x + 6
- 15x

Hint:

### 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 simply the expression.

## The correct answer is: 10x + 5

### The given expression is 4x + 5 + 6x.

There is one variable in the above expression. The variable is: ‘x’. There are three terms in the above expression. We have to perform the operations between them and simplify the expression.

If we see, first and third term contains the same variable. Such terms are called “like terms.” And the terms with different variables are called “unlike terms.”

Second term is a constant.

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, we can perform an operation between the first term and second term as both the terms as they have the same variable ‘x’. We will keep ‘x’ constant and perform addition between the coefficients.

We will rearrange the expression to bring like terms together

4x + 5 + 6x = 4x + 6x + 5

Now we can add first and second term.

4x + 5 + 6x = 10x + 5

Therefore, the value of the equation is 10x + 5

So option which is ‘10x + 5’ , is the right option.

We should see if the variables are same or different. Only like terms gets operated with each other.