Which expression represents four more than twice a number x?

• A. 2x+4
• B. x^2+4
• C. x+2
• D. 4x+2

Answer: (A)

The main idea is turning a spoken description into an algebraic expression. “Four more than twice a number x” means you first take twice x, which is 2x, and then add four. So the expression is 2x + 4. This directly captures the order of operations implied: multiply, then add. You can also write it as 4 + 2x, since addition is commutative, but it still represents the same idea.

The other forms don’t match the description. x^2 + 4 would be squaring x and then adding four, not doubling. x + 2 would simply add two, not four and not twice x. 4x + 2 would be four times x, then add two, which isn’t the same as four more than twice x.

If you test with a sample number, say x = 3, you get 2x + 4 = 10, while the other expressions give 13, 5, or 14, illustrating why the correct form matches the phrase exactly.