MATH MODELS
REVIEW #1 SEMESTER ONE EXAM
1. The following chart shows the beginning depth of the
Edward’s Aquifer on Sunday and the resulting depth on
Saturday after the daily fluctuations Monday through
Friday. Find the fluctuation for the missing entry.
Sunday
628.9 ft
Monday
+1.2 ft
Tuesday
+ .7 ft.
Wednesday + .1 ft
Thursday
______
Friday
-.9 ft
Saturday
629.6 ft.
2. The following chart shows the resulting depth of the
Edward’s Aquifer on Saturday after the daily fluctuations
Monday through Friday. Find the beginning depth of the
aquifer on Sunday before the weekly fluctuations had
occurred.
Sunday
_______ ft
Monday
-1.3 ft
Tuesday
- .5 ft.
Wednesday + .3 ft
Thursday
+.1 ft.
Friday
-.4 ft
Saturday
641.0 ft.
3. The following chart shows the beginning depth of the
Edward’s Aquifer on Sunday and the daily fluctuations
Monday through Friday. Find the resulting depth of the
aquifer on Saturday.
Sunday
635.9 ft
Monday
+1.1 ft
Tuesday
+ .4 ft.
Wednesday - .1 ft
Thursday
- .8 ft.
Friday
-1.3 ft
Saturday
_____ ft.
4. The current level of the aquifer is 635.4 feet.
How does the current level of the aquifer
compare to the 650 ft. level which is used to
denote stage two of the drought measures?
5. How does the current price of Prudential compare to
the low for the day?
6. The current price of Prudential stock is 89.14. How
does this compare to the five year high of 91.83?
7. Evaluate: [40/(-8)(2)]2(18 – 4*5)3
8. Evaluate:
- 8 + 4(8 – 2X5)4 – (-2)3(-1)8
9.
Evaluate: 4[24 / (4 * 2)]3 – ( -5 )2(-3 ) - 24 / 8 * 4
10. Evaluate: 3 ( 2a – c )2 – 5ab7
If a = -3, c = -2, and b = -1.
11. Evaluate:
a 3b 2 
40
ac
If a = -2, b= 5, and c= -4.
12. Simplify:
3 – 6 (5a3 – 4a2 + 8a – 9) – (3a3 + 6a2 – 8a – 12)
13. Simplify:
9
8
45c3  25c 2  20    24c3  12c 2  3c  15 

5
3
14. Simplify: 7w2 ( 3w – 5 ) – 6w3 ( 4w2 – 7w – 12 )
15. Simplify: 5a2(3b – c ) – 7a(ab – c )
16. Simplify: 9 – 6( 4w2 – 7w – 9 ) – ( w3 – 8w2 + 9w – 16 )
17. Evaluate: - 5 + 12 /(-3)(2) – (-3)2(-2)3 – (-1)9(-5)2
18. a. What was the price of Valero stock as of 7:55
P.M., December 5th?
b. How does the current price compare to the high
for the day?
c. How does the 52 week low compare to the
current price?
d. How does the 52 week high compare to the
current price?
e. How does the current price compare to the
52 week high?
19. Simplify: 3a3b2(4a2b – 3ab – 5 ) – 4a2b(5ab – 6 )
20. Simplify: - 4a6 + 5a2 – 12 + 7a – 5a4 + 7a2 – 4a – 8a5
21. Simplify: - 9 + 4c3 – 8c + 5c2 – 4c – 9c2 – 4 + c3 + 5c4