Download n n+5 6 n+2 x+5 x 4 3

Math 111
Practice Final Exam
1. Simplify
x2 − 9
x2 − 2x − 15
2. Add
n
n+5
6
+ n+2
3. Subtract
(9x4 + 5x3 + 3x2 − 1) − (7x4 − 3x3 + 11x2 − 15x + 8)
4. Determine whether the set of ordered pairs is a function or not (provide your reasoning) and find the
domain and range.
{(−1, 1), (−2. − 8), (0, 0), (2, −8), (1, 1)}
Domain:
Range:
5. Solve
x+5
x
=
4
3
Function: Yes or No (Circle one and explain why.)
6. Solve
x
10
= 45 + x2
7. Simplify
8. Solve
9. Solve
√
p
50y 6
2x + 4 = 6
5(5x + 9) = 3 − (x + 10)
10. Solve by factoring
2x2 − 15x − 8 = 0
11. Solve the following inequality and write your solution using interval notation.
4n − 5 − n < 7n + 23
12. Find the slope intercept form of
2x + 5y = 20
13. An appliance store decreases the price of TV 27% to a sale price $405.15. What was the origianl
price of the TV? (Round to the nearest cent if necessary.)
2
14. Simplify
125 3
15. Simplify
5 + 4[x − 3(x − 7)]
16. Solve the linear system
−5x + 4y = 29
7x + 2y = 5
17. Solve for y:
|2y + 31| = 15
18. Simplify
−2x3
y7
3
19. Factor by grouping
20. Graph
4xy + 14y − 10x − 35
3x − 4y = 12
21. Solve the following system using the graphical method. What is the solution of the system?
22. Which property of addition (commutative, associative or distributive) is used in
the following equation?
8 + (c + a) = (8 + c) + a
Property:
23. Find the degree of the polynomial:
2n6 + 5n4 − n2 + 3
Degree:
24. Simplify the expression. Write your answer with positive exponents only.
23x11
x−9
Answer:
25. Use Quadratic Formula to solve
3x2 − 7x = 5.
Hint: x =
√
−b± b2 −4ac
2a
26. Factor
2x2 − 50
27. The length of a rectangular pool is 3 meters more than its width. The perimeter of the pool is 46
meters. Find the length and width of the pool.
28. Find an equation for the line that passes through the points (0,5) and (8,-3).
29. Graph the line.
y = − 54 x + 3
30. Given f (x) = 4x2 + 2x − 9, find f (−2).
31. Perform the indicated operations and simplify.
(5y + 2)2
32. Multiply
(x + 3)(x2 − 2x + 1)