I'm doing some extra practice to improve my math skills, and I was wondering if any of you had some challenging high school math problems that I could try to solve. Preferably from subjects like Algebra II or Precalculus. Thanks for the help!
Hi there! I'm glad you're looking to challenge yourself in math. Here are a few problems to get you started in both Algebra II and Precalculus:
1. Algebra II: Quadratic Equations
A ball is thrown upwards from an initial height of 5 meters. Its height h(t) in meters is given by the equation h(t) = -5t^2 + 20t + 5, where t is time in seconds. When does the ball reach its maximum height, and what is that height?
2. Algebra II: Rational Functions
Simplify the following expression: (2x^2 - 3x - 2)/(x^2 - x - 6) + (x - 1)/(x^2 - 4x + 3)
3. Precalculus: Exponents and Logarithms
Solve the following equation for x: 3^(2x) - 7 3^x + 10 = 0
4. Precalculus: Trigonometry
If sin(x) = 3/5 and cos(y) = 24/25, where x and y are both positive acute angles, find the exact value of sin(x + y).
Remember to take your time and think through each problem step by step. Once you've attempted the problems, let me know if you need any guidance or help with verifying your answers. Good luck!
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