Lesson 1

# Lesson 1 - continuously)? 7. If m and k are integers, ﬁnd...

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Rules for exponents a x a y = a x + y a x a y = a x - y if a 6 = 0 ( a x ) y = a xy a x · b x = ( ab ) x a x b x = ( a b ) x if b 6 = 0 a 1 /n = n a a 0 = 1 if a 6 = 0 a - x = 1 a x if a 6 = 0 WARNING: 0 0 is not deﬁned and 0 - x for x > 0 has no value. Problem Set 1. A beaker containing bacteria is left to sit in the lab. This bacteria divides once every minute, doubling the volume in the beaker. If the beaker was left out for 60 minutes, when was the beaker 1 / 4 full? 2. Solve 2 30 = n 10 . 3. Solve 2 2 = 8 k . 4. Solve 2 - 3 4 n +5 = 8 2 n - 1 5. Simplify: 6 - a 2 b ± 2 a 3 - b 3 a ² 2 6. Sherri plans to retire in 5 years. She has \$10,000 in a savings account with a 50% interest rate. If the interest compounds yearly, how much will she have? What about if it compounds monthly, weekly, daily, (or

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Unformatted text preview: continuously)? 7. If m and k are integers, ﬁnd all solutions to the equation 9(7 k + 7 k +2 ) = 5 m +3 + 5 m 8. If 2 x +3 + 2 x = 3 y +2-3 y and x and y are integers, determine the values of x and y . 9. Rationalise 1 1+ x 1 / 2 10. The function y = ax r passes through the points (3,1) and (27,3). Calcu-late r . 11. Simplify: x-1 x 3 / 4 + x 1 / 2 · x 1 / 2 + x 1 / 4 x 1 / 2 + 1 · x 1 / 4 + 1 12. Simplify: ± ( z 2 /p + z 2 /q ) 2-4 z 2 /p +2 /q ( z 1 /p-z 1 /q ) 2 + 4 z 1 /p +1 /q ² 1 / 2...
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## This note was uploaded on 03/22/2010 for the course MATH 1104 taught by Professor Unknown during the Fall '10 term at Carleton.

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Lesson 1 - continuously)? 7. If m and k are integers, ﬁnd...

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