1. **Problem 1:** Solve for $x$ in the equation $x + 2 = 4$. 2. **Formula:** To isolate $x$, subtract 2 from both sides: $$x + 2 - 2 = 4 - 2$$ 3. **Simplify:** $$x = 2$$ 4. **Answer:** The value of $x$ is 2. 5. **Problem 2:** Find the common denominator for fractions $\frac{1}{3}$ and $\frac{1}{4}$. 6. **Formula:** The common denominator is the least common multiple (LCM) of the denominators 3 and 4. 7. **Calculate LCM:** Multiples of 3: 3, 6, 9, 12, 15... Multiples of 4: 4, 8, 12, 16... The smallest common multiple is 12. 8. **Answer:** The common denominator is 12. 9. **Problem 3:** Find the hypotenuse length of a right triangle with legs 3 and 4 feet. 10. **Formula:** Use the Pythagorean theorem: $$c = \sqrt{a^2 + b^2}$$ where $a=3$, $b=4$. 11. **Calculate:** $$c = \sqrt{3^2 + 4^2} = \sqrt{9 + 16} = \sqrt{25}$$ 12. **Simplify:** $$c = 5$$ 13. **Answer:** The hypotenuse length is 5 feet.