1. Simplify: a)
b)
c) ![]()
2. Simplify: a)
b)
c) ![]()
3. Simplify
the radicals and then find the sum or difference:
a) ![]()
b) ![]()
c) ![]()
4. Multiply
the conjugates:
a)
d) ![]()
b)
e) ![]()
c)
f) ![]()
5. Solve:
a) ![]()
b) ![]()
6. Solve
the problem:
a)
The diagonal of a square has length
in. Find the exact length of a side of the
square.
b) A diagonal of a rectangle is 10 cm and the rectangle’s width is 5. Find the length of the rectangle.
c) The diagonal of a square is 24 in. Find the exact length of a side of the square.
7. Express
in terms of i:
a)
c) ![]()
b)
d) ![]()
8. Simplify:
a)
c) ![]()
b)
d) ![]()
9. Solve:
a)
c) ![]()
b)
d) ![]()
10. Solve:
a)
c)
b)
d) ![]()
11. Without
graphing, find the vertex:
a)
b) ![]()
d) ![]()
12. Find the
vertex:
a) ![]()
b) ![]()
c) ![]()
13. Graph:
a)
c) ![]()
b)
d) ![]()
14. Solve. Provide answers in interval notation:
a)
d)
b)
e) ![]()
c)
f) ![]()