Exam 1 review
for Math 1180 on , well check the Syllabus. The exam will tentatively cover
•
Solving linear equations
•
Simple interest
•
Exponential basics and Logarithmic basics
•
Compound interest
•
Future Value of an Annuity
•
Present Value of an Annuity
•
Graphing, generally
•
All about lines
•
Finding points of intersection for two lines
•
Systems of linear equations
•
Linear Inequalities
. Double check in class to be sure.
The review is broken up into 3 sample exams. For best results:
1. Take the first sample exam with no notes in a setting similar to your classroom environment.
2. Grade yourself with the attached key. Review the problems you missed, review related material in your notes
and get questions you still have answered.
3. Take the next sample exam(s) and then repeat steps 1 and 2. Repeatedly reviewing this material will go a long
way toward helping you understand the material.
Of note, some problems may be of a different form on the exam to make them more appropriate for time considerations
or to adapt them to a multiple choice format. Be sure to focus on learning and understanding when going through
the review, not just memorizing how to do these problems.
The length of this review is not intended to be a good gauge as to the length of the exam. You will have the normal
class time for the exam and I will write the exam with that in mind.
Also, this review is not intended to cover absolutely everything possible that may be on the exam. Be sure to also
review your notes and your homework notebook.
* - A key is attached, but there may be errors. If you see a problem, please ask!
1

Sample Exam A:
1. Determine if
x
=
−
1 is a solution of 5
x
−
8 =
−
15
−
2
x
.
2. Solve
S
=
F
+ (
M
−
F
)
b
for
F
.
3. Solve
x
16
−
5
8
=
x
+ 6
8
for
x
.
4. Give an example of a conditional equation.
5. Maricela wants to have $12,000. If she invests $3,600 and can earn 12% simple interest, how many years would
she have to wait?
6. A bank offers Sammie a discounted loan for $1,200 at 10% for 11 months.
A)
How much did Sammie receive?
B)
What was the effective rate ?
7. Suppose a brokerage firm charges $10 per trade. You buy 20 shares of a stock for $50 per share and sell them
for $75 per share 6 months later.
A)
Find the annual simple interest rate you would have earned if there were no brokerage fee.
B)
Find the annual simple interest rate you would have earned including the brokerage fee.
8. Convert the following to exponential or log form:
a
=
x
w
.
9. Solve 12 = 4(1 +
x
)
12
for
x
.
10. Sehraa purchase a car for $15,000 by making a 10% down payment and taking out a loan at 4.9% interest
compounded monthly for 4 years. Her monthly payments were set at $310.28. How much interest would Sehraa
owe total?
11. The Smiths purchased a home for $170,000. They made a 15% down payment and borrowed the rest at 7.2%
interest compounded monthly on a 30-year loan.
Their monthly payments are $980.85.
How much of the
Smith’s first payment goes toward paying interest? Hint: Make the first line of an amortization table to help
answer this question.

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- Winter '20