Exam #2
MA 101
Name:
INSTRUCTIONS: You have the whole class period to complete the followiong problems. Please be sure to
follow any specific instructions given in the problem, and show all your work for full credit. You are only
allowed to use a scinetific calculator. Notes or other written materials are not permitted.
I. Solve using the substitution method.
5x − 4y = 9
x − 2y = −3
II.Solve by any method.
3
3
x− y =3
2
5
1
1
8
− x+ y =
9
3
3
III. Solve the system.
2x + 5y + z = 3
x + y + 5z = 42
4x + 2y = 14
IV. Chris and John-Mark went to the Hamilton House of Pizza each week to pick up the food for college club
night. The Frirst week they got 5 pepperoni pizzas, 3 saussage pizzas, and 4 cheese pizzas and paid $61. The
next week they got 4 pepperoni pizzas, 5 saussage pizzas, and 5 cheese pizzas and paid $69. The Last week
they got 6 pepperoni pizzas, 2 saussage pizzas, and 3 cheese pizzas and paid $58. How does each kind of pizza
cost.
V. What is the domain and range of the relation. Is the relation a function?
Tallest Mountain Peaks
Country
Height in Meters
Nepal/Tibet
8850
VI. Graph
10
f (x) = −
x
VII. Divide.
(10x3 − 13x2 + x − 4) ÷ (2x − 3)
Pakistan/China
8611
India/Nepal
8586
Nepal/Tibet
8516
Nepal/Tibet
8463
VIII. Factor completely
1. x2 − xy − 6y 2
2. 10x3 − 5x2 − 30x
3. 2x4 − 2x2 − 24
4. 27x3 − 8y 3