AP Calculus AB Summer Packet Name______________________ This is a packet intended to help you over the summer to prepare for AP Calculus for the 2015‐2016 school year. Upon returning to school in the fall, this packet will be collected and graded for completion AND for accuracy. (So make sure you are actually trying to correctly solve all problems) All work should be shown for full credit. Feel free to work with others on this assignment, but the final product should be individually turned in and be a representation of your own knowledge coming into the course. The packet should not be completed on here, but instead turned in on a separate sheet (or sheets) of paper. Good luck and see you in August! 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. The area of an equilateral triangle is given by √
. (a) Find the length of the side s of an equilateral triangle with an area of √12
(b) Find the area of an equilateral triangle with a side length of 6.
16. 17. 18. Evaluate the expression without a calculator. Simplify your answer. 2
3
( 32) 19. Simplify the expressions without a calculator. Assume all variables are positive. A. 27 x 3
D. a 5b2c

2
5
3

a b c
3
4
B. 16  4 E.  13 41 
3  3  

1
2
3
2
1
8

1
6
 7x
C. 6x
F.  105 
 5
 13 
12
100
64 6
C. 5
2
A. B. 
3
4
5


2
3
 y0 1
5
20. Solve the equation. Simplify your answer. A. 7x3 + 1 = 449 B. ‐4x4 + 5 = ‐ 319 C. 2(x + 1)2 = 50