Download This packet contains the topics that you have learned in your

Summer work for Trigonometry and Pre- Calculus
Name_______________________
This packet contains the topics that you have learned in your previous courses that are most
important to Trigonometry and Pre- Calculus. Please read the directions, do the problems, and
be prepared to turn this in on September 1, 2015.
Show your work for credit. Do not use a calculator.
1. Place the correct symbol ( < or > )between −
10
3
and - | - 4 |.
2. Find the distance between the real numbers -17 and 39.
Evaluate each quantity.
3.
a)
4.
a)
5.
a)
2
3
27 (− )
(−
3 3
)
5
5  125
b)
5
18
b)
 32 
 
2
b)
72
2
÷
15
8
3
Simplify the expressions.
a)
3z2(2z3)2
7.
a)
 x 2 y 2 


 3 
8.
a)
5 16 y  10 y
6.
b)
(u – 2)- 4 (u – 2) – 3
b)
9 z 8z  3 2 z 3
b)
3
b)
( x  5)( x  5)
b)
2   4 
2
 
  2 
 x x 1   x 1 
1
16
v5
Perform the operations and simplify.
9.
a)
10.
a)
(x2 + 3) – [ 3x + (8 – x2)]
8x
24

x 3 3 x
Factor the expression completely.
11.
2x4 – 3x3 -2x2
12.
x3 + 2x2 - 4x – 8
13.
8x3 – 27
14. Rationalize the denominators.
a)
16
3
16
b)
6
1 3
15. Plot the points (-2,5) and (6,0). Find the coordinates of the midpoint of the line segment joining the
points and the distance between the points.
16. The area of a rectangle of length L is 45L – L2. Factor then expression to determine the width of the
rectangle.