1. **State the problem:** Evaluate each expression given the values of $x$. 2. **Given values:** - For expressions 5 to 10, $x=\frac{1}{3}$. - For expressions 11 to 14, $x=-13$. 3. **Evaluate each expression step-by-step:** **For $x=\frac{1}{3}$:** 5. $2x = 2 \times \frac{1}{3} = \frac{2}{3}$ 6. $-2x = -2 \times \frac{1}{3} = -\frac{2}{3}$ 7. $(-2)(-x) = (-2) \times \left(-\frac{1}{3}\right) = \frac{2}{3}$ 8. $2x = 2 \times \frac{1}{3} = \frac{2}{3}$ (same as 5) 9. $-2x = -2 \times \frac{1}{3} = -\frac{2}{3}$ (same as 6) 10. $-2 - x = -2 - \frac{1}{3} = -\frac{6}{3} - \frac{1}{3} = -\frac{7}{3}$ **For $x=-13$:** 11. $(x)(x) = (-13)(-13) = 169$ 12. $(-x)(x) = (-(-13))(-13) = 13 \times (-13) = -169$ 13. $(-x)(-x) = (-(-13))(-(-13)) = 13 \times 13 = 169$ 14. $x x = (-13)(-13) = 169$ (same as 11) 4. **Final answers:** - 5: $\frac{2}{3}$ - 6: $-\frac{2}{3}$ - 7: $\frac{2}{3}$ - 8: $\frac{2}{3}$ - 9: $-\frac{2}{3}$ - 10: $-\frac{7}{3}$ - 11: $169$ - 12: $-169$ - 13: $169$ - 14: $169$