What is the simplified form of 4x + 2 - 3x + 5?

What is the simplified form of 4x + 2 - 3x + 5?

• A. x + 7
• B. 7x + 7
• C. 8x + 5
• D. 4x + 3

Answer: (A)

To simplify the expression 4x + 2 - 3x + 5, you should begin by combining like terms. "Like terms" are those that have the same variable raised to the same power. First, identify the terms with the variable \(x\). In the expression, there are two such terms: 4x and -3x. Combining these involves performing the operation indicated, which is addition in this case: 4x - 3x = 1x, or simply x. Next, look at the constant terms, which are 2 and 5. Again, you combine these by addition: 2 + 5 = 7. Now, combine the results from your simplifications. You have determined that the coefficient of x is 1 (which can be simply written as x), and the sum of the constant terms is 7. Therefore, putting these together gives you: x + 7. This shows that the simplified expression correctly reduces down to x + 7. This is why the provided choice is the correct answer.

To simplify the expression 4x + 2 - 3x + 5, you should begin by combining like terms. "Like terms" are those that have the same variable raised to the same power.

First, identify the terms with the variable (x). In the expression, there are two such terms: 4x and -3x. Combining these involves performing the operation indicated, which is addition in this case:

4x - 3x = 1x, or simply x.

Next, look at the constant terms, which are 2 and 5. Again, you combine these by addition:

2 + 5 = 7.

Now, combine the results from your simplifications. You have determined that the coefficient of x is 1 (which can be simply written as x), and the sum of the constant terms is 7. Therefore, putting these together gives you:

x + 7.

This shows that the simplified expression correctly reduces down to x + 7. This is why the provided choice is the correct answer.