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Algebraic Equations and Functions: Intercepts, Solving, and Simplifying

Explore algebraic equations, solving techniques, and simplification methods for functions. Determine intercepts, evaluate expressions, and find inverse equations.

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Algebraic Equations and Functions: Intercepts, Solving, and Simplifying

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  1. Jeopardy X intercepts Algebraic Equations SolvingEquations Function? Pot Luck $100 $100 $100 $100 $100 $200 $200 $200 $200 $200 $300 $300 $300 $300 $300 $400 $400 $400 $400 $400 $500 $500 $500 $500 $500

  2. $100 Factor: • What is (x - 3)(x + 5)?

  3. $200 Simplify: • What is (x + 2)?

  4. $300 Simplify: • What is b – 3 ? 2

  5. $400 Simplify: • What is 2(x + 1) ? x(6x – 1)

  6. $500 Simplify: • What is x2 – 4x – 5?

  7. $100 Solve for t:2t – (t + 4) = 6t + 2(6 – t) • What is t = -16/3?

  8. $200 Solve for w: • What is w = 14?

  9. $300 Solve for x: • What is x = 2.529 or x = -1.779?

  10. $400 Solve for x: • What is x = 9.008?

  11. $500 Solve for x: • What is x = 1/10000?

  12. $100 Does this represent a function?(2, 4) (4, 4) (5, 2) (6, 1) • What is YES?

  13. $200 Does this represent a function?Input Output3 24 54 66 87 9 • What is NO?

  14. TV Shows $300 TV Networks Aired on TV Does this represent a function? • What is NO?

  15. $400 Does this represent a function? • What is NO?

  16. $500 Does this represent a function? • What is NO?

  17. $100 The x intercept of this function: • What is 3?

  18. $200 The zeros of this function: • What are 0 and 2?

  19. $300 The x intercepts of this function: • What is there are no x intercepts?

  20. $400 The x intercepts of this function: • What is –2?

  21. $500 The x intercept of this function: What is –5/3?

  22. $100 The base of the natural log function. • What is e?

  23. $200 The y intercept of this function: • What is –2/3?

  24. $300 Given the functionfind f(-2). • What is 4?

  25. $400 • What is 1?

  26. $500 Find the equation of the inverse of the function • What is f-1(x) = 1/x + 3?

  27. If f(x) = 5, find f(1). • What is 5?

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