1. Heidi and Micah have 11 more dimes than nickels. 2. The overall average for all 30 days is 783.17 per day. 3. The number of people who did not laugh is 6520. 4. Simplify \(\frac{(0.0016 \times 10^{-7})(3000 \times 10^{5})}{1,200,000}\) = \(4 \times 10^{-10}\). 5. Simplify \(\frac{(0.003 \times 10^{-5})(700 \times 10^{14})}{21,000,000}\) = \(10 \times 10^{-6} = 1 \times 10^{-5}\). 6. Equations of lines: Line A: \(y = x + 2\) Line B: \(y = -x\) 7. Solve by elimination: \(x = 3, y = 1\) 8. Simplify: \(4\sqrt{8} - 5\sqrt{32} + 6\sqrt{18} = 2\sqrt{2}\) 9. \(3 \frac{1}{4}\) of what number is \(15 \frac{1}{2}\)? Answer: 4.77 10. Graph on number line: \(D = \{1, 2\}\) 11. Find \(T_M = 6, T_S = 5\) 12. Find \(T_P = 14, T_M = 6\) 13. Find \(R_P = 47.5, R_G = 2.5\) 14. Solve: \(x = 7\) 15. Solve: \(x = 3\) 16. Solve: \(x = -2\) 17. Add: \(\frac{1}{a^2} + \frac{2b}{a^3} - \frac{3b}{4a^3} = \frac{4a + 5b}{4a^3}\) 18. Add: \(\frac{4}{a+b} + \frac{6}{a^2}\) (cannot simplify further) 19. Evaluate: \(x(x^{-5} - y) - x^2 = 6\) when \(x = -2, y = 6\) 20. Simplify: \(\frac{x + \frac{x}{y}}{\frac{ax}{y} + 1} = \frac{x(1 + \frac{1}{y})}{1 + \frac{ax}{y}}\) 21. Simplify: \(\frac{\frac{ab}{c} - \frac{1}{c^2}}{4 - \frac{a}{c^2}}\) (cannot simplify further) 22. Simplify: \(-4^{-2} = -\frac{1}{16}\) 23. Factor: \(28x + 11x^2 + x^3 = x(x^2 + 11x + 28)\) 24. Factor: \(-xy^2 + 4a^2x = x(-y^2 + 4a^2) = x(-y^2 + (2a)^2)\) 25. Expand: \(x^{-2}/y^2 (x^2 y^2 - 3a^0 x^2 / y^2) = 1 - 3 / y^4\) 26. Simplify: \(\frac{(x^2)^{-3} y^2 p^0 x^4}{[(x^2)^{-3} y]^{-2} x^{-4}} = x^{18} y^{4}\) 27. Simplify: \(\frac{x^2 y y y^3}{(x^2 y)^0} = x^2 y^5\)