Name
.
Math 152B Final
Please do all
of the following problems. All work
and all answers must be done on your own paper.
Credit earned will be based on the steps that you show that lead to the
final solution. Good Luck!
Problem
1: Factor the following
A)
x5y2 - x3y4
B)
6x2 + 5x - 6
C)
x3 + x2 - 4x - 4
Problem
2: Perform the indicated operations and simplify
A)
x3 + 3x2 + 2x
÷ (x2 + 2x)
x -
1
B)
10
5
-
h -
10
h -
5
Problem
3: Solve
A)
B)
x3 + 2x2 + x = 0
Problem
4:
A motorboat travels 10 mi/hr in still water.
If the boat takes the same amount of time to travel 2 miles upstream as
it does to travel 3 miles downstream, find the speed of the current.
Problem 5:
Find the point of intersection of the two lines
4x - 3y = 15
and 5x - 6y = 21
Problem
6:
Simplify. Write your answer
without negative exponents.
Problem
7: Simplify
Problem
8: Solve. Any
complex solutions should be written in the form a + bi.
A)
x2 - 3x
-15 = 0
B)
2x2 + 4 = x
C)
3x2
- x - 1 = 0
Problem 9 Complete the square
Problem
10 Determine whether there are two real roots,
two complex roots, or one real root.
Do not find the roots.
A.
2x2 + 16x + 32
B.
2x2 - 5x - 10
C. 12341234234x2 - 3x + 12341324123123523
Problem 11 Answer the following true or false. Please explain your reasoning.
-
If x = 2 and x = 4 is a solution of |ax + b| < c , then x = 3 is also a solution.
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