What is the simplified form of 7a - 2 + 3a?

What is the simplified form of 7a - 2 + 3a?

• A. 10a - 2
• B. 4a + 2
• C. 6a - 2
• D. 10a + 2

Answer: (A)

To simplify the expression 7a - 2 + 3a, you need to focus on combining like terms. Like terms are terms that contain the same variable raised to the same power. In this expression, you have two like terms involving the variable a: 7a and 3a. When you combine these, you simply add their coefficients: - The coefficient of the first term (7a) is 7. - The coefficient of the second term (3a) is 3. Adding these together gives: 7 + 3 = 10. Therefore, when you combine the terms, you get 10a. The remaining term in the expression is the constant -2, which does not combine with any other terms because it does not involve the variable a. Putting it all together, the simplified form of the expression is: 10a - 2. This reasoning confirms that the answer is indeed the first choice, which accurately represents the combination of the like terms and includes the constant correctly.

To simplify the expression 7a - 2 + 3a, you need to focus on combining like terms. Like terms are terms that contain the same variable raised to the same power.

In this expression, you have two like terms involving the variable a: 7a and 3a. When you combine these, you simply add their coefficients:

• The coefficient of the first term (7a) is 7.

• The coefficient of the second term (3a) is 3.

Adding these together gives:

7 + 3 = 10.

Therefore, when you combine the terms, you get 10a.

The remaining term in the expression is the constant -2, which does not combine with any other terms because it does not involve the variable a.

Putting it all together, the simplified form of the expression is:

10a - 2.

This reasoning confirms that the answer is indeed the first choice, which accurately represents the combination of the like terms and includes the constant correctly.