AP Calculus AB Summer Review Packet AWS
AP Calculus AB Summer Review Packet Welcome to AP Calculus AB. To help ensure your success in AP Calculus AB next year, we have created a summer review work packet. This packet contains material that you must have knowledge of on the 1st day of the course. The packet has questions from your previous math courses. You will be tested on these questions during the first week of school. I’ll give you a few days to ask me questions and then you’ll have a test on this background material. This packet is to be completed in the following manner: Work must be clearly enumerated and in consecutive order on separate paper. Each problem with work counts toward the total grade. Each problem must have WORK! NO WORK! NO CREDIT! The packet with work is due on the first day of school. NO EXCUSES will be accepted.
Resources you may want to use: Your notes from previous math courses khanacademy.org mathkanection.com Below is a list of supplies you will NEED for AP Calculus. Shop for the items when they are on sale and be prepared the first day of school. AP Calculus Supplies Needed: Pencils/Erasers
Binder
Paper
Graphing Calculator (TI-84 Plus or Silver Edition)
I look forward to having you in class and working together to accomplish your goals. I think you’ll find this course challenging but enjoyable at the same time.
************** YOU MUST HAVE A GRAPHING CALCULATOR **************** *******************EVERY DAY, IN CLASS AND AT HOME ********************
This entire section is for AB students. NO CALCULATOR
Using the point-slope form y-y1=m(x-x1) write an equation for the line: 1. with slope -2, containing the point (4, 1) 2. through (2, -3) and (-5, 6) 3. paralled to 5x-2y=7 and passing through (3, 2) 4. perpendicular to the line 2x-3y+5=0 and passing through (3, 2) 5. through (3, -5) and (-4, 2) 6. perpendicular to the line 4x+2y=5 and passing through (-1, -6) 7. perpendicular to the y-axis and passing through the point (4, -7)
Solve the following equations for the indicated variable: 8. A=p+ rp , for p (Hint: A=p(1+
p=
)
9. 2x-2yd=y+xd , for d 10. A=2
+2
for h
11. 2x+8ym=0, for m 12. V=
, for h
Simplify: 13.
14.
15.
18. (8x-3y3z6)1/3
19. (x3y-1)(x4y2)
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31. 2 33.
16. (Hint: =
)
32. 34.
17.
Solve for x. 35. 10x2+13x 3=0
36. 16x2 8x+1=0
37. 4x2+4x+1=0
38. x2 7=2x+8
39. 3x2+10x=8
40.
41.
42.
43.
44.
45. –
46. ln(3x 5)=2a+6 (a is a constant)
Follow the directions for each problem. Show all computations that lead to your answer. 47. Given f(x) = 2
+5, find f (0) f (3)
48. Let f(x) = {
find f(-3) and f(5)
49. Let f(x) = {
find f(4) and f(e3)
50. Let f(x) = {
find f(-3) , f(0) and f(-1)
51. Let f(x)=x2 and g(x)=2x+5. Find f(g(x)) , g(f(x)) and g(f(-2))
Find the inverse of the function. 52. y=9 x2 53 y=16x 3 54. y= 55. y=
Resources you may want to use: Your notes from previous math courses khanacademy.org mathkanection.com Below is a list of supplies you will NEED for AP Calculus. Shop for the items when they are on sale and be prepared the first day of school. AP Calculus Supplies Needed: Pencils/Erasers
Binder
Paper
Graphing Calculator (TI-84 Plus or Silver Edition)
I look forward to having you in class and working together to accomplish your goals. I think you’ll find this course challenging but enjoyable at the same time.
************** YOU MUST HAVE A GRAPHING CALCULATOR **************** *******************EVERY DAY, IN CLASS AND AT HOME ********************
This entire section is for AB students. NO CALCULATOR
Using the point-slope form y-y1=m(x-x1) write an equation for the line: 1. with slope -2, containing the point (4, 1) 2. through (2, -3) and (-5, 6) 3. paralled to 5x-2y=7 and passing through (3, 2) 4. perpendicular to the line 2x-3y+5=0 and passing through (3, 2) 5. through (3, -5) and (-4, 2) 6. perpendicular to the line 4x+2y=5 and passing through (-1, -6) 7. perpendicular to the y-axis and passing through the point (4, -7)
Solve the following equations for the indicated variable: 8. A=p+ rp , for p (Hint: A=p(1+
p=
)
9. 2x-2yd=y+xd , for d 10. A=2
+2
for h
11. 2x+8ym=0, for m 12. V=
, for h
Simplify: 13.
14.
15.
18. (8x-3y3z6)1/3
19. (x3y-1)(x4y2)
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31. 2 33.
16. (Hint: =
)
32. 34.
17.
Solve for x. 35. 10x2+13x 3=0
36. 16x2 8x+1=0
37. 4x2+4x+1=0
38. x2 7=2x+8
39. 3x2+10x=8
40.
41.
42.
43.
44.
45. –
46. ln(3x 5)=2a+6 (a is a constant)
Follow the directions for each problem. Show all computations that lead to your answer. 47. Given f(x) = 2
+5, find f (0) f (3)
48. Let f(x) = {
find f(-3) and f(5)
49. Let f(x) = {
find f(4) and f(e3)
50. Let f(x) = {
find f(-3) , f(0) and f(-1)
51. Let f(x)=x2 and g(x)=2x+5. Find f(g(x)) , g(f(x)) and g(f(-2))
Find the inverse of the function. 52. y=9 x2 53 y=16x 3 54. y= 55. y=
