1. **Statement of the problem:** Solve the given one-step linear equations and verify the solutions where required. 2. **Question 1:** Solve and verify: - Equation 1: $ل - 8 = 9$ Add 8 to both sides: $$ل = 9 + 8 = 17$$ Verification: Substitute $ل=17$ back: $$17 - 8 = 9$$ True. - Equation 2: $30 = ك + 27$ Subtract 27 from both sides: $$ك = 30 - 27 = 3$$ Verification: Substitute $ك=3$ back: $$3 + 27 = 30$$ True. 3. **Question 2:** Choose the correct answer for each: - Solve $12 = ف + 16$ Subtract 16: $$ف = 12 - 16 = -4$$ None of the options match -4, so none is correct. - Solve $ر - 87 = -3$ Add 87: $$ر = -3 + 87 = 84$$ Correct option: (ج) 84 - Solve $5 = ف \, \div \, \frac{3}{1}$ (which means $5 = \frac{ف}{3}$) Multiply both sides by 3: $$ف = 5 \times 3 = 15$$ Correct option: (م) 15 - Solve $300 = ف \times 6$ Divide both sides by 6: $$ف = \frac{300}{6} = 50$$ None of the options match 50, so none is correct. 4. **Question 3:** Solve and verify: - Solve $-4 س = 200$ Divide both sides by -4: $$س = \frac{200}{-4} = -50$$ - Solve $6 = ل \div \frac{5}{3}$ (which means $6 = \frac{ل}{\frac{5}{3}} = ل \times \frac{3}{5}$) Multiply both sides by $\frac{5}{3}$: $$ل = 6 \times \frac{5}{3} = 10$$ 5. **Question 4:** Mark true (✓) or false (✕): 1. Equivalent equations have the same solution. ✓ 2. Solve $-16 - (ت - ) = 20$ solution is -4. ✕ (Not enough info to confirm) 3. Solve $\frac{3}{2} ب = \frac{4}{1}$ solution is -8. ✕ (Correct solution is $ب = \frac{4}{1} \times \frac{2}{3} = \frac{8}{3}$) 4. $2 ن = 24$ means six times a number equals 24. ✕ (It means two times a number equals 24) 6. **Test Questions:** 1) Solve $4 = س - 4$ Add 4: $$س = 4 + 4 = 8$$ None of the options match 8. 2) If $س - 7 = 14$, find $س - 2$ $$س = 14 + 7 = 21$$ Then: $$س - 2 = 21 - 2 = 19$$ Correct option: (ب) 19 3) Solve $\frac{ب}{7} = 11$ Multiply both sides by 7: $$ب = 11 \times 7 = 77$$ Correct option: (ب) 77 4) Solve $-6 = ف \div \frac{3}{1}$ (means $-6 = \frac{ف}{3}$) Multiply both sides by 3: $$ف = -6 \times 3 = -18$$ Correct option: (ج) -18 5) Solve $10 - (ت - ) = 15$ Rearranged: $10 - ت = 15$ Subtract 10: $$-ت = 15 - 10 = 5$$ Multiply both sides by -1: $$ت = -5$$ Correct option: (ج) -5 **Final answers summarized:** - Question 1: $ل=17$, $ك=3$ - Question 2: $ر=84$, $ف=15$ - Question 3: $س=-50$, $ل=10$ - Question 4: True/False as above - Test: $س=8$ (no option), $س-2=19$, $ب=77$, $ف=-18$, $ت=-5$