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8.2.1 Exponents and Scientific Notation #2 Homework Name ____________________________________________________ Period __________ Work through each of the problems below to practice the concepts from today’s lesson and review concepts from previous lessons. Then review AND FIX work your work using the class website: MrsGainesClassWebsite.weebly.com. Be sure to always show all work! 8-53. Which number is greater, 3.56 × 10 or 1.9 × 10 . Show and explain how you know. 4 6 1.9 × 10 is greater 6 8-54. Write the following numbers in scientific notation. a. 370,000,000 3.7 × 10 8 b. 7,600 7.6 × 10 3 8-55. Simplify each expression. a. 6 5 7776 b. 8/27 c. (2 + 3) 4 625 d. 1/32 8-56. Consider the equation 7 = 3x − 5. a. Stanley wants to start solving the equation by adding 5 to both sides, while Terrence first wants to subtract 7 from both sides. Will both strategies work? Is one strategy more efficient than the other? Both strategies will work eventually, but adding five to both sides will isolate the x term b. Solve 7 = 3x − 5. Show your steps. x=4 8-57. Examine the table below. a. What is the rule for the table? y = 3x – 2 b. Explain the strategy you used to find the rule. See video 8-58. Graph the equation y = −2x − 4x. Start by making an x → y table. Be sure to include negative values for x. Is this graph linear or non-linear? 2 non-linear