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Warm-up 8/24/12:

Warm-up 8/24/12: . Two schools opened in the same year, each with a population of 500 students. Hillsboro High School’s population increased at a rate of 160 students per year. The population of Mountain Ridge High School increased by approximately 20% each year.

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Warm-up 8/24/12:

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  1. Warm-up 8/24/12: Two schools opened in the same year, each with a population of 500 students. Hillsboro High School’s population increased at a rate of 160 students per year. The population of Mountain Ridge High School increased by approximately 20% each year. On the tenth anniversary of the schools’ opening, which school has the greater population?

  2. Properties of ExponentsSolving Exponential Equations Section 2.1.4 Standard: MCC9-12.A.REI.3 Essential Question: How do I use the properties of exponents to simplify expressions? How do I solve exponential equations?

  3. Exponential equation: an equation in which variable expressions occur as exponents. Solving Exponential Equations 1. Rewrite the bases as powers of a common base. 2. Substitute the rewritten bases into the original equation. 3. Simplify exponents. 4. Solve for the variable.

  4. 1. Solve: Can 1024 be rewritten as an exponential with a base of 4? Rewrite both equations so that both sides have a base of 4.

  5. 2. Solve: Can 32 be rewritten as an exponential with a base of 2? Rewrite both equations so that both sides have a base of 2.

  6. Remember the rule for negative exponents: What does this mean?

  7. 3. Solve: Find a common base: The common base is 2:

  8. 4. Solve: Find a common base: The common base is 4:

  9. 5. Solve: Find a common base: The common base is 4:

  10. 6. Solve: Find a common base: The common base is 5:

  11. Solve.7. 8.

  12. 9.10. 11.

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