AP Statistics
Summer Work 2015• due date: third day of class
• estimated time: 10 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:
1. Gas Consumption Data Collection 2. 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 10 hours to complete.
We are really looking forward to the upcoming school year and hope you are, too! Please email any of us if you have questions.
Barbara.Filler@stewardschool.org Todd.Serr@stewardschool.org
Jennifer.Maitland@stewardschool.org Karen.Hudson@stewardschool.org
Part I. Gas Consumption Data Collection
1. 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.
2. 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 2 of 8
Part II. Algebra Review
1. Complete each problem on the following pages.
2. 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. 1. Solve. (a) 4(x – 2) = 3 2 – x (b) 3 2 3 1 − = + n n (c) 9(2p + 1) – 3p > 4p – 6 (d) 27 8 3 2 = y (e) (q – 12)3 < 5q + 2 (f) 24 5 6 5 12 + = m
2. 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) (2 4) 3 2 − = x y (b) 3x + 2y = 14 (c) 6 4 3 1 = − x y
4. Find the slope and equation of the line containing the points.
(a) (6, -2) and (0, 5) (b) (8, -5) and (3, 4)
5. Sketch the graph.
(a)
y
=
x
−
3
+
4
(b)y
=
x
+
2
−
6
(c)
y
=
3
x
−
2
+
1
6. Solve and graph each inequality.
(a) |𝑥𝑥 − 4| < 6 (b)
4
x
−
6
≤
4
(c) 2 3 2 3 ≥ + x (d) -2x + 3y >x + 9 (e) 2 4 2 1 ≥ + y x (f) – y > 3x – 1 Page 3 of 87. Solve each equation. (a) 8 0 2 1 2 − = x (b) -7x2 + 343 = 0 (c) x 2 – 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) (-2, 3.5) (-1, 3) (0, 2.5) (1, 2) (2, 1.5) (3, 1)
(b) (-3, 4) (-2, 3) (-1, 2) (0, 1) (1, 2) (2, 3) (3, 4)
(c) (-3, 4) (-2, 2) (-1, 1) (0, ½ ) (1, ¼ ) (2, 1/8 ) (3, 1/16 )
(d) (-3, 4) (-2, 7/3) (-1, 4/3) (0, 1) (1, 4/3) (2, 7/3) (3, 4)
9. Solve each equation for x.
(a) log 3 81 = x (b) log 3 x = 5
(c) log x 256 = 8 (d) log 2 (x +1) = 1
(e) log 5 (x − 4) = 0 (f) log (x +1) + log (x +2) = log 12
10. For the function f(x) = 4x – 2, find the requested values.
(a) f(-3) = (b) f(0) =
(c) f(2) =
11. For the function g(x) = 3x2, find the requested values.
(a) g(-3) = (b) g(0) =
(c) f(2) =
12. Evaluate the following for the function f(x) = 3x; g(x) = 2x + 3.
(a) g[f(-2)] (b) f[g(3)]
13. Evaluate the following for the function f(x) = -x; g(x) = x2 + 5.
(a) g[f(-2)] (b) f[g(3)]
14. Solve and check.
(a)
2
x
+
9
=
21
(b)2
x
+
10
=
x
+
1
15. Write as the log of one expression: log 4 + log 2 + 3log r – log3 16. Evaluate each expression without using a calculator.
(a)
log 25
5 (b) 1 2 1 log ( ) 2 (c) 2 1 log ( ) 8 17. Solve for b: 24b+3 = 128 18. Solve for x: 3 + 2e
4x = 11 19. Factor completely: 3x5 – 108x 20. Simplify: 4 2 6 7 24
2
x y z
x y z
−
21. Simplify: 2 3 316
a
−
4
a
−
9
a
+
a
25
a
22. The length of a rectangle is 4 more than 3 times the width. The area of the rectangle is equal to 20 more than twice the perimeter. What is the area of the rectangle?
name __________________________________________________
AP Statistics Summer Work: Algebra Review Answer Sheet
Show your work on separate paper; transfer answers to this sheet.
1.a) ____________________ 1.b) ____________________ 1.c) ____________________ 1.d) ____________________ 1.e) ____________________ 1.f) ____________________ 2. 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
9.a) ____________________ 9.b) ____________________ 9.c) ____________________ 9.d) ____________________ 9.e) ____________________ 9.f) ____________________ 10.a) __________________ 10.b) __________________ 10.c) __________________ 11.a) __________________ 11.b) __________________ 11.c) __________________ 12.a) __________________ 12.b) __________________ 13.a) __________________ 13.b) __________________ 14.a) __________________ 14.b) __________________ 15. ____________________________ 16.a) __________________16.b) __________________ 16.c) __________________ 17. ____________________________ 18. ____________________________ 19. ____________________________ 21. ____________________________ 22. ____________________________ Page 7 of 8
Part III: Writing and Explaining
Type all answers. Use MLA format, including Times New Roman 12-pt and double spacing. 1. Explain how to make a peanut butter and jelly sandwich.
2. Explain how to multiply two two-digit numbers.
3. Read The Lady Tasting Tea by David Salsburg (Owl Books, 2001) 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, 2001. 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, 2001. Kindle file.
