Algebraic Simplification: Combining Like Terms for Students Practice Test

To find the simplified form of the expression 4a + 6 - 2a, you should begin by identifying and combining the like terms. The terms involving the variable 'a' are 4a and -2a.

When you combine these like terms, you subtract 2a from 4a:

4a - 2a = (4 - 2)a = 2a

Next, the constant term in the expression is 6, which remains the same because there are no other constant terms to combine with it.

Putting it all together, after combining the like terms, the expression simplifies to:

2a + 6

This matches the correct answer. The other choices do not represent the correct simplification of the expression. The process of combining like terms ensures that the final expression accurately reflects all components of the original equation while maintaining the rules of algebra.