Subjects algebra

Distance Expression

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1. **State the problem:** Mateo's home is $x$ miles away from school. Lexi's home is twice as far from school as Mateo's home. We need to find an expression representing the distance from Lexi's home to school. 2. **Understand the relationship:** If Mateo's distance is $x$, then twice as far means multiplying $x$ by 2. 3. **Write the expression:** The distance from Lexi's home to school is $2 \times x = 2x$. 4. **Check the options:** - A: $\frac{x}{2}$ means half the distance, not twice. - B: $x - 2$ means 2 miles less, not twice. - C: $x + 2$ means 2 miles more, not twice. - D: $2x$ means twice the distance, which matches the problem. **Final answer:** The correct expression is $2x$ (option D).