What is the simplified form of 7a + 5 - 3a?

What is the simplified form of 7a + 5 - 3a?

• A. 4a + 5
• B. 3a + 5
• C. 10a + 5
• D. 4a - 5

Answer: (A)

To simplify the expression 7a + 5 - 3a, begin by identifying and combining the like terms. In this case, the terms 7a and -3a are both coefficients of the variable 'a.' First, combine the coefficients: 7a - 3a = (7 - 3)a = 4a. Next, you still have the constant term, which is +5. Add that to the combined terms: The resulting expression is 4a + 5. This results in the simplified form being 4a + 5, which corresponds to the correct answer. Combining like terms is essential in algebra as it helps to streamline expressions and makes calculations easier. Always make sure to group and manage coefficients of the same variable while keeping constant terms separate.

To simplify the expression 7a + 5 - 3a, begin by identifying and combining the like terms. In this case, the terms 7a and -3a are both coefficients of the variable 'a.'

First, combine the coefficients:

7a - 3a = (7 - 3)a = 4a.

Next, you still have the constant term, which is +5. Add that to the combined terms:

The resulting expression is 4a + 5.

This results in the simplified form being 4a + 5, which corresponds to the correct answer. Combining like terms is essential in algebra as it helps to streamline expressions and makes calculations easier. Always make sure to group and manage coefficients of the same variable while keeping constant terms separate.