Mathematics
Grade6
Easy
Question
2x + 10x + 4x + 3
- 16x + 3
- 3(9x + 1)
- 6x + 3
- 3
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 find the final value.
The correct answer is: 16x + 3
The given expression is 2x + 10x + 4x + 3
There is one variable and 4 constants in the above expression. The variables is : ’x’. There are four terms in the above expression. We have to perform the operations between them and find the right answer.
If we see the first three terms contains a same variable. In such cases we can take x common out and perform the operations on the remaining coefficients.
The fourth term is a constant.
Let’s take x common from first three terms.
2x + 10x + 4x + 3 = x(2 + 10 + 4) + 3
We have to perform the addition of numbers in the bracket.
2x + 10x + 4x + 3 = x(16) + 3
2x + 10x + 4x + 3 = 16x + 3
No further operation is possible.
Therefore, the value of equation is 16x + 3
So option which is ’16x + 3’ is the right option.
The main part of such questions is like and unlike terms. Like terms have same variable or same variable raised to same power. Unlike terms do not have same variable. Operation can be performed between like terms.
