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In MATH 1314, one learns how to use basic algebraic techniques to develop methods of analyzing more complicated problems, such as graphing third and fourth degree equations, working with exponential and logarithmic functions, and using matrices to solve systems and equations. To work with such problems it is necessary that you recall how to use the basic algebraic techniques you have already learned. We realize that you may have forgotten some of this algebra, but you must review and relearn it very quickly in MATH 1314. It is briefly explained at the beginning of the book, but we cover that rather quickly-much too quickly to provide you with a thorough review unless you remember most of it before you start the course.
The following problems provide a quick review of this algebra. The answers are listed at the end. If you find that you cannot do at least 12 of these right now, you need to do one of two things before you attempt to take MATH 1314:
Get an algebra book and review these topics.
If you are unable (or don't have time) to learn these
topics by reviewing on your own, you need to take an algebra course
to refresh your algebra skills. At ACC, this would be MATD 0390
(Intermediate Algebra) or both MATD 0370 (Elementary Algebra) and
MATD 0390.
In 1-7, solve for x.
1.
2. 
3. 
4. 
5. 
6. 
7. 
8. Tell whether this system has none, only one, or
many solutions. If it has only one, solve it: 
9. Simplify: 
10. Simplify: 
11. Multiply: 
12. Divide: 
by 
13. Divide and reduce: 
14. Simplify: 
15. If 
, find 
and 
16. Add: 
17. Find the slope of this line and graph it: 
18. Simplify: 
ANSWERS: 1)
2)
3) 
4) 
5)
6) 
7) 
8)
9) 
10) 
11) 
12) 
13) 1 14) 
15) 
and 
16) 
17) slope =
,
graph is a straight line going up (diagonally) and passing through
and 
18) 