8.2.1 Exponents and Scientific Notation Homework Name _______________________________________ Date ______________ Period ______
8.2.1 Exponents and Scientific Notation Homework Name _______________________________________ Date ______________ 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. Be sure to always show all work! 8-47. Rewrite each of the expressions below using exponents. a. 4 · 4 · 5 · 5 · 5 b. 3 · 3 · 3 · 3 · 3 · y · y c. (6x)(6x)(6x)(6x) 8-48. Calculate the following products without using a calculator. 8-49. Graph the following points on a coordinate grid: (1,1) , (4,1) , and (3, 4) and connect them. a. Then translate the points three units right and three units up. b. What are the coordinates of the vertices of the new triangle? 8-51. Enrollment in math courses at Kennedy High School in Bloomington, Minnesota is shown in the pie chart at right. If there are 1000 students enrolled in math courses, estimate approximately how many students are enrolled in each class listed below. Be sure to show work AND justify your reasoning for each. a. Algebra b. Geometry c. Calculus 8-52. Determine the compound interest earned on $220 invested at 3.25% compounded annually for 6 years. 8-53. Which number is greater, 3.56 × 104 or 1.9 × 106. Show and explain how you know. 8-54. Write the following numbers in scientific notation. a. 370,000,000 b. 7,600 8-55. Simplify each expression. a. 65 b. c. (2 + 3)4 d. 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? b. Solve 7 = 3x − 5. Show your steps. 8-57. Examine the table below. a. What is the rule for the table? b. Explain the strategy you used to find the rule.