College Algebra - Fall Midterm Review
Solve. If applicable, leave answers as reduced, improper fractions…no decimals or
mixed numbers.
1.
4( x  2) 3
3
 
x3
x xx  3
2.
x 1
x4
3
 2
 2
x  2 x x  x x  3x  2
2
Solve by completing the square.
3. x 2  3 x  6  0
Solve
4. 3x  4 x  27 x  36
3
5. 2 x 3  4  x 2  8 x
2
6. 4 x 2  12  3 x
7. Determine the equation of the line in slope intercept form that is perpendicular
to 3x  8 y  4 and contains the point (-2, 6). Use reduced improper fractions
in your answer…no decimals or mixed numbers.
8. Determine the general form of the equation of a circle with endpoints of a
diameter at (-5, -7) and (-4, 3).
Simplify
4i
9.
3  2i
 5 2

10. 
 3  3


2
Solve. Use interval notation for your answer and graph the solution set
11. 4 x  1  13
12. 2  3x  12  8