Warm-Up #121 3/24/17 Wilder’s Wacky In many classes, a passing test grade is 70. Using the Category: Ancient History formula In 79 AD, the eruption of a volcano, Mount Vesuvius, destroyed a Roman city. What was the name of this city? , where A is the adjusted score and R is the raw score, what raw score would a student need to get a passing grade after his score is adjusted? Pompeii 49 Section 6-1 Handout: Roots & Radical Expressions 1. 15a 9 2. 8 3. 1 12 4. (49x )/y 5. t12/r 6. 4x 3 7. ±15 6 8. No real roots 15. ±10/3 9. ±8/13 16. 4|x| 10. 6 17. 3y2 11. -5 18. |x5y7| 12. ⅓ 19. 2y2 13. ±2 20. 2|c| 14. No real roots 21. a4|b9| 22. V = 80 volts Warm-Up #122 3/27/17 ● Complete the Section 6-1 Entrance Ticket. ○ You may use your notes and/or Section 6-1 handout, but you MUST work by yourself. ○ This will count as a quiz grade. ○ You may use a calculator, but DO NOT simply plug the numbers into your calculator. You need to show work, such as factor trees, to receive full credit. ● When you are finished, raise your hand, and I will collect your paper. Simplify the following expressions. Multiplying and Dividing Radical Expressions Section 6-2 3/24/17 EQ: What is needed to simplify a radical expression? 1. (24)(22) 1. 26 = 64 2. 32 · 33 2. 35 = 243 3. (22)(32) 3. (2 · 3)2 = 36 4. 43 · 53 4. (4 · 5)3 = 8000 Multiplying Radical Expressions Combining Radical Expressions: Products Simplify the following radical expressions. If 5. 6 6. 2 7. 2 8. -2 Multiplying Radical Expressions 2 11. are real numbers, then Simplifying a Radical Expression Simplify the following products if possible. 9. and 13. What is the simplest form of the following expression? 10. Can’t simplify 12. Can’t simplify Simplifying a Product Simplifying a Product 14. What is the simplest form of the following product? 15. Multiply and simplify the following radical expression. Wilder’s Wacky Warm-Up #123 Category: Rap 1. Multiply and simplify the following radical expression. 3/28/17 Born Calvin Broadus, what is the professional/stage name of this rapper? How did he get his nickname? Snoop Dogg 2. Divide and simplify the following. Combining Radical Expressions: Quotients If and are real numbers and b ≠ 0, then Dividing Radical Expressions Simplify the following radical expressions. 16. 17. 18. 19. Rationalizing the Denominator Dividing Rational Expressions When simplifying radical expressions, we sometimes end up with a radical in the denominator. We must then rationalize the denominator. Divide and simplify. Rationalize the denominator if necessary. 22. 24. 26. 23. 25. 27. 20. 21. Applying Radical Quotients The formula shows the time t that any vehicle takes to travel a distance s at a constant acceleration a, starting from rest. 1. What is the time that a car accelerating at 16 m/s2 takes to travel 200 m? 2. What is the time that a car accelerating at 25 m/s2 takes to travel 200 m? 3. What is the difference in time between a car accelerating at 16m/s2 and one accelerating at 25 m/s2 for a distance of 200 m?
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