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Review Guide for MAT187 TEST #5 SPRING 2011
NO CALCULATORS
NO SCRATCH PAPER
Q1 (10 points) Solve an exponential equation by making the bases the same. See the examples I did in class
and your homework in section 4.5 # 1 – 10.
Q2 (10 points) Solve an exponential equation by taking the natural log ( Ln ) of both sides. See class notes and
homework section 4.5 #’s 19, 20 and 55
Q3 (10 points) Solve a logarithmic equation. See 4.5 homework # 37 – 49 and of course your class notes.
Q4 (2 parts worth 5 points each). In this question you will be given the graph of a particle that is undergoing
radioactive decay and a second graph demonstrating how money is growing in a savings account. You will be
asked some basic questions about what we covered in section 4.6 pertaining to these graphs. If you took good
notes in class and understood what we discussed in class in section 4.6 this question will be the easiest and
quickest problem on your test. No significant math is involved here. You may want to review pg 416 of your
text if you did not take good notes on section 4.6. There are no specific homework problems to refer to here. I
am just testing your comprehension of what we discussed in class as it pertains to exponential growth and
radioactive decay.
Q5 (10 points) Solve a given system by graphing. (8.1)
Q6 (10 points) Solve a given system by EITHER substitution or elimination (your choice). (8.1)
Q7 (15 points) Solve a system of 3 equations in 3 unknowns by FIRST setting up an augmented matrix and
then using EITHER Gaussian Elimination with back substitution OR Gauss Jordan Elimination. Either way, be
sure to show your row operations “on top of your arrows” just like I taught you in class. (8.3….although we
first discussed Gaussian Elimination with back substitution in 8.2 so you can look back in 8.2 notes for the row
operations etc.)
Q8 ( 3 parts worth 5 points each) Here you will tested to see if you can do matrix multiplication, matrix
addition (subtraction) and scalar multiplication. (8.4)