CHALLENGE EXAM FOR THE COLLEGE ALGEBRA PLACEMENT TEST
 
1. Evaluate – x2 3x + 9 for x = 1 Answer
2.
Multiply and simplify:
Answer
3. Simplify and factor: 5x– 2(y – x) x Answer
4.
Simplify:
Answer
5.
Simplify and write as a single fraction:
Answer
6.
Simplify as much as possible:
Answer
7.
Simplify by rationalizing the denominator:
Answer
8. Multiply: (8x3 y)(–3x2y7) Answer
     
9. Find the slope of the line: 2x – 3y +10 = 0 Answer
10.
Write as a single fraction in terms of
Answer
11.
Solve for all values of x:
Answer
12.
Solve for all values of x: = 5
Answer
13.
Multiply and simplify:
Answer
14. Find the solution set for x: 2x + 1 > 3x + 7 Answer
15. Solve for x: 2x2 + 3x – 2 = 0 Answer
16. Solve for x: 2x2 – 3x – 4 = 0 Answer
17. Solve for x: 2x2 – 6x + 5 = 0 Answer
18.
Evaluate:
Answer
19.
Solve for x and y:
Answer
20.
Find the solution set for x:
Answer
21.
Write as a single fraction.
Answer
22. Factor completely: x4 – 81. Answer
23.
Add and simplify:
Answer
24. The graphs of the system of equation consists of lines that Answer
a) intersect b) meet in one point c) are parallel
25.
Simplify:
Answer
26. Find the solution set for x: x2 + 6 > 5x Answer
27. If f(x) = x3 + 1, find f(3) Answer
28. Graph: y = 1 Answer
29. Graph: x = – 3 Answer
30. Graph: 2x + 3y = 2 Answer