1. **Problem statement:** Tyler thinks of a number $x$. We need to write expressions for the following situations: 2. **Part a:** Doubles the number and subtracts 3. - Doubling a number means multiplying by 2: $2x$. - Then subtract 3: $2x - 3$. 3. **Part b:** Divides the number by 3 and adds 2. - Dividing by 3 means $\frac{x}{3}$. - Then add 2: $\frac{x}{3} + 2$. 4. **Part c:** Adds 2 to the number, then multiplies by 4. - Add 2 to $x$: $x + 2$. - Then multiply the result by 4: $4(x + 2)$. **Final expressions:** - a) $2x - 3$ - b) $\frac{x}{3} + 2$ - c) $4(x + 2)$