Math 96 Mid-Semester Review
Friday: 12 - 1 p.m.
Room: MS211
1. Solve: 3x2 – 8x – 6 = 0.
2. Graph: y  3( x4)  2
Plot 5 points and label the asymptote.
3. Graph: y = log5(x)
Plot 3 points.
4. Solve: |
3
1
x- |=2
5
2
5. Solve: |5x – 1|  11
Write the solution in interval notation!
6. Solve: (2x – 3)2 = 25
7. Solve: log2(x-12) + log2(x) = 6
Simplify
8. 8x 5 y12
9.
10.
11. - 16 4 (First convert to radical form)
12.
3
 16 x 8 y 10
12 x 3
3
3x 2
3
 27 x 9 y 6

3
13. Multiply ( 6  3 )( 6  2 )
14. Condense: 2log3(6x2) + 3log3(2x3) – log3(32x13)
15. Solve: (2x-6)2 = 18
16. Solve by quadratic formula:
4x2 – 8x – 5 = 0
17. Sketch the graph: y = -2(x+1)2 +4
Plot 5 points.
18. Write in Vertex form by completing the square:
y = -4x2+ 16x + 8
19. Simplify:
6i
6i
20. Solve the system using a matrix:
2x + 2y + z = 7
x + 2y + z = 6
x - 3y + z = 1