Math 112 Test 1 10 pts each Jan. 27,
2005
Solve for x:
1. 5x + (3x - 4 ) + 2 = 5 - 2(3x + 2)
2.
3.
4. Solve for d
an = a1 + (n-1)d
Solve the system of equations
5. 2x - y = 16
x + 3y = 1
6. 2x - y = 4
6x - 12 = 3y
7.
Let A = {1, 2, 3, 4 }
Let
B = {2, 4, 6,8}
Let U = Universe = {1,2,3,4,5,6,7,8,9,10}
Write the indicated set.
a.
A ² B
b. AĠ ³ B
8.
Solve the linear inequality. Leave the answer in inequality notation.
3x - 2 ² 4(x + 2) - 5
9.
Solve the linear inequality.
Put the answer in Interval notation.
6 ³ 2(1 - 3x) > 0
10. Solve the absolute value inequality. Leave the answer in algebraic notation.
| 3 - 2x | ² 4
Bonus: 5 points !
If a and b are negative numbers and b/a is
greater than 1, then is a-b positive or negative?
(You must prove your answer!)