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1 AP Statistics Summer Work 05 due date: third day of class estimated time: 0 hours (for planning purposes only; work until you finish) Dear AP Statistics Students, This assignment is designed to make sure you are well prepared for the start of AP Statistics in the fall. The assignment is in three parts:. Gas Consumption Data Collection. Algebra I and Algebra II Review 3. Writing and Explaining a crucial part of the AP Statistics exam All work is due on the third day of class. We anticipate that the work will take about 0 hours to complete. We are really looking forward to the upcoming school year and hope you are, too! Please any of us if you have questions. Page of 8

2 Part I. Gas Consumption Data Collection. Choose one vehicle for which you will record all gas consumption for the entire summer. a. Each time anyone puts gas in the tank, use this sheet to record the date, the odometer reading, the number of gallons of gas purchased, and the cost per gallon. b. You may need to enlist help from your family to gather this data. c. Print additional pages as needed.. Make a graph or other visual display of the data collected. 3. Write a short paragraph explaining any conclusions you can draw from this data. Vehicle Make, Model, and Year: Date Odometer Reading # Gallons Purchased Cost per Gallon Page of 8

3 Part II. Algebra Review. Complete each problem on the following pages.. Do the problems in order on separate paper. Please show all of your work. Remember: no work, no credit. 3. Transfer your answers to the answer sheet below.. Solve. (a) 4(x ) = 3 x (b) n + 3 = n 3 (c) 9(p + ) 3p > 4p 6 (d) 8 y = 3 7 (e) (q )3 < 5q + (f) m = 6 4. Write equations of the horizontal and vertical lines that pass through the point ( 3, 4). Please label which equation is horizontal and which is vertical. 3. Find the slope and y-intercept of the line. Sketch the line. (a) y = (x 4) 3 (b) 3x + y = 4 (c) y 6x = Find the slope and equation of the line containing the points. (a) (6, -) and (0, 5) (b) (8, -5) and (3, 4) 5. Sketch the graph. (a) y = x (b) y = x + 6 (c) y = 3 x + 6. Solve and graph each inequality. (a) xx 4 < 6 (b) 4x 6 4 (c) 3 3 x + (d) -x + 3y >x + 9 (e) x + y 4 (f) y > 3x Page 3 of 8

4 7. Solve each equation. (a) x 8 0 (b) -7x = 0 (c) x 8x + 7 = 0 8. Plot the data using a scatter plot. Then tell whether the data is linear, exponential, quadratic, or absolute value. (a) (-3, 4) (-, 3.5) (-, 3) (0,.5) (, ) (,.5) (3, ) (b) (-3, 4) (-, 3) (-, ) (0, ) (, ) (, 3) (3, 4) (c) (-3, 4) (-, ) (-, ) (0, ½ ) (, ¼ ) (, /8 ) (3, /6 ) (d) (-3, 4) (-, 7/3) (-, 4/3) (0, ) (, 4/3) (, 7/3) (3, 4) 9. Solve each equation for x. (a) log 3 8 = x (b) log 3 x = 5 (c) log x 56 = 8 (d) log (x +) = (e) log 5 (x 4) = 0 (f) log (x +) + log (x +) = log 0. For the function f(x) = 4x, find the requested values. (a) f(-3) = (b) f(0) = (c) f() =. For the function g(x) = 3x, find the requested values. (a) g(-3) = (b) g(0) = (c) f() =. Evaluate the following for the function f(x) = 3x; g(x) = x + 3. (a) g[f(-)] (b) f[g(3)] 3. Evaluate the following for the function f(x) = -x; g(x) = x + 5. (a) g[f(-)] (b) f[g(3)] Page 4 of 8

5 4. Solve and check. (a) x + 9 = (b) x + 0 = x + 5. Write as the log of one expression: log 4 + log + 3log r log3 6. Evaluate each expression without using a calculator. (a) log5 5 (b) log ( ) (c) log ( ) 8 7. Solve for b: 4b+3 = 8 8. Solve for x: 3 + e 4x = 9. Factor completely: 3x 5 08x 0. Simplify:. Simplify: 4xyz xyz a a a a a. The length of a rectangle is 4 more than 3 times the width. The area of the rectangle is equal to 0 more than twice the perimeter. What is the area of the rectangle? Page 5 of 8

6 AP Statistics Summer Work: Algebra Review Answer Sheet Show your work on separate paper; transfer answers to this sheet. name.a).b).c).d).e).f). horizontal: vertical: 3.a) 3.b) 3.c) 4.a) 4.b) 5.a) 5.b) 6.c) 6.a) 6.b) 6.c) 6.d) 6.e) 6.f) 7.a) 7.b) 7.c) 8.a) 8.b) 8.c) 8.d) Page 6 of 8

7 9.a) 9.b) 9.c) 9.d) 9.e) 9.f) 0.a) 0.b) 0.c).a).b).c).a).b) 3.a) 3.b) 4.a) 4.b) 5. 6.a) 6.b) 6.c) Page 7 of 8

8 Part III: Writing and Explaining Type all answers. Use MLA format, including Times New Roman -pt and double spacing.. Explain how to make a peanut butter and jelly sandwich.. Explain how to multiply two two-digit numbers. 3. Read The Lady Tasting Tea by David Salsburg (Owl Books, 00) and complete the following assignment. a. Think about your perspective on the power of statistics before and after reading the book. b. Type a two-page paper on whatever one or more things gave you an Aha! as you read the book. i. When you refer to specific information in the book, use parenthetical citations with page numbers. ii. Include the following Works Cited List at the end of your paper. Works Cited Salsburg, David. The Lady Tasting Tea: How Statistics Revolutionized Science in the Twentieth Century. New York: Owl Books, 00. Print. Or, if you read the Kindle Edition, use the following: Works Cited Salsburg, David. The Lady Tasting Tea: How Statistics Revolutionized Science in the Twentieth Century. New York: Owl Books, 00. Kindle file. Page 8 of 8

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