What is the simplified form of 8a + 3 - 5a + 7?

What is the simplified form of 8a + 3 - 5a + 7?

• A. 3a + 10
• B. 2a + 10
• C. 8a + 10
• D. 10a + 10

Answer: (A)

To simplify the expression 8a + 3 - 5a + 7, we start by grouping like terms. Like terms are terms that contain the same variable raised to the same power. First, we can combine the terms involving the variable 'a': - We have 8a and -5a. When we combine these, we subtract 5 from 8, which gives us 3a. Next, we combine the constant terms, which are 3 and 7: - Adding these together gives us 3 + 7, resulting in 10. So when we put it all together, the simplified expression becomes 3a + 10. This matches the correct choice, which is why that answer is justified. Having a clear understanding of how to combine coefficients for the same variable and add constants can help with future algebraic simplifications.

To simplify the expression 8a + 3 - 5a + 7, we start by grouping like terms. Like terms are terms that contain the same variable raised to the same power.

First, we can combine the terms involving the variable 'a':

• We have 8a and -5a. When we combine these, we subtract 5 from 8, which gives us 3a.

Next, we combine the constant terms, which are 3 and 7:

• Adding these together gives us 3 + 7, resulting in 10.

So when we put it all together, the simplified expression becomes 3a + 10. This matches the correct choice, which is why that answer is justified. Having a clear understanding of how to combine coefficients for the same variable and add constants can help with future algebraic simplifications.