What is the simplified expression for 6a + 3b - 2a + b?

What is the simplified expression for 6a + 3b - 2a + b?

• A. 8a + 3b
• B. 4a + 4b
• C. 6a + 4b
• D. 4a + 3b

Answer: (B)

To simplify the expression 6a + 3b - 2a + b, start by grouping the like terms. Like terms are those that contain the same variables raised to the same power. First, look at the terms that contain the variable 'a': - The expression includes 6a and -2a. - When you combine these, you perform the operation: 6a - 2a = 4a. Next, look at the terms that contain the variable 'b': - The expression includes 3b and b (which is equivalent to 1b). - When you combine these, you perform the operation: 3b + 1b = 4b. Now, combine the results: - For the variable 'a', you have 4a. - For the variable 'b', you have 4b. Putting these together, the simplified expression becomes 4a + 4b. This matches the option that corresponds to 4a + 4b, which is why it's the correct answer. The key to simplifying expressions is identifying and correctly combining like terms based on their variables, which is exactly what was done here.

To simplify the expression 6a + 3b - 2a + b, start by grouping the like terms. Like terms are those that contain the same variables raised to the same power.

First, look at the terms that contain the variable 'a':

• The expression includes 6a and -2a.

• When you combine these, you perform the operation: 6a - 2a = 4a.

Next, look at the terms that contain the variable 'b':

• The expression includes 3b and b (which is equivalent to 1b).

• When you combine these, you perform the operation: 3b + 1b = 4b.

Now, combine the results:

• For the variable 'a', you have 4a.

• For the variable 'b', you have 4b.

Putting these together, the simplified expression becomes 4a + 4b.

This matches the option that corresponds to 4a + 4b, which is why it's the correct answer. The key to simplifying expressions is identifying and correctly combining like terms based on their variables, which is exactly what was done here.