Name _______________________
Pre Calculus Honors
Summer Assignment
NO CALCULATOR SECTION
Factor each expression completely. (3 pts each)
1. 26x4 + 13x5 2. 6abc – 7ac
3. m2 + 5m – 14 4. 2x2 + 7x – 4
5. 6 + 5x – 6x2 6. 16y2 – 8yz + z2
7. 25 – 4S2 8. 9t2 – 36w2
9. (a2 + 2a)2 – 2(a2 + 2a) – 3
10. 5(x2 + 4)4(2x)(x-2)4 + (x2 + 4)5(4)(x – 2)3
Simplify each expression. (4 pts each)
11. 
12. 
13. 
14. 
Cont. Simplify each expression. (4 pts each)
15. 
16. 
17. 
Evaluate the expression. (2 pts each)
18. 
19.
20. 
21. 
22. 
23.
24. ln e 25. ln e3
26. ln 1
Find the value of x. (3 pts each)
27. 
28. 
29. 
30. 
CALCULATOR SECTION.
Solve each. (3 pts each)
31. Find four consecutive odd integers whose sum is 272.
32. A father is four times as old as his daughter. In 6 years, he will be three times as old as she is. How old is the daughter now?
33. Mary has $3.00 in nickels, dimes and quarters. If she has twice as many dimes as quarters and five more nickels than dimes, how many coins of each type does she have?
34. A pasture is twice as long as it is wide. Its area is 115,200 ft2. How wide is the pasture?
35. A farmer has a rectangular garden plot surrounded by 200 ft of fence. Find the length and width of the garden if its area is 2400 ft2.