Kerzmann
Alg 1H
Name
Final Exam Review Packet
Solve the following systems of equations.
 x  y  26
 x  3 y  17
1.
2.


 y  x  9
 y  3x  10
3.
3x  4 y  8

 x  6 y  12
4.
Tickets to a school dance were sold at $3.50 for Pennfield students and $5.00 for
non-Pennfield students. If 120 tickets were sold for a total of $457.50, how many
Pennfield tickets were sold?
Graph each of the following.
5. y   x  1
6. x  4
 y  7 x  3
7. 
y  x  2
8. y  x 2  6
Simplify.
9.
108
10.
1.21
11.
49
169
Solve.
x 2  64
12.
13.
25 x 2  16  0
Evaluate.
14.
f ( x)  2  x3 for x = 4
15.
5 x0  7 y 2 for y = 1
16. A certain bacteria of 2500 cells
doubles in size every hour. Write an
equation rule to represent the number of
the bacteria cells y to the number hours
x. Then, determine the number of
bacteria cells after 12 hours.
Simplify.
q r
18.
s 5
4 9
19. 151
20.
17. The projected value (in thousands of
dollars) of a house is modeled by the
equation y  285(1.17) x . The variable x
represents the number of years since
2001. What is the projected increase in
value per year of the house?
 7 x y 8 yx 
2
3
4
21.
 3mn   mn 
5
3
4
22.
Given the right triangle with legs of
7 mm and 6 mm, what is the length
of the hypotenuse?
6 mm
7 mm
23.
Find the distance between the
points (-2, 3) and (-1, 5).
24.
Find the midpoint of (-7, 1) and
(-15, 12).
25.
A rope 35 feet long runs from halfway
up a tree to a point on the ground 20 feet
from the base of the tree. How tall is the tree?
Simplify.
105
26.
15
Solve.
2x  3  4x  2
29.
27. 3 5  5 5  2 5
30.
x  10  5
28.
4 2 8
6
31. 2 x  5  3
Perform the indicated operation.
32.  7 x 4  3x 2  5    5 x 4  9 x 2  6 
34. 3b3  2b3  7b 2  b  4 
33.
x
2
 
 7 x  2  3x 2  x  7
36. ( x  2)( x 2  5 x  3)
35. (3 x  7)(4 x  8)
Factor.
37. 35 x5  15 x3
38. x 2  16 x  28
39. 8 x 2  41x  5
40. 32 x 2  50
Solve.
41. x 2  x  12  0
42. x 2  49 x

43. 3 x 2  14 x  5