1. The problem asks to translate the phrase "22 increased by twice Gail's age" into an algebraic expression. 2. We use the variable $g$ to represent Gail's age. 3. "Twice Gail's age" means $2 \times g = 2g$. 4. "22 increased by twice Gail's age" means we add 22 to $2g$. 5. Therefore, the algebraic expression is: $$22 + 2g$$ This expression correctly represents the phrase given.