MATH 002
FINAL EXAM REVIEW
Intermediate Algebra
The Final Exam is cumulative. The Final Exam is worth 120 points. Problems will be similar to those you have seen on
previous exams. You should review material from ALL Exams.
Part I. Multiple Choice. The exam will have 15 multiple choice questions. Review Skills Test questions and questions
from previous exams.
Part II. There will be 18 short answer questions. Analytical (algebraic) solutions are expected for partial credit. Graphs
should be clearly labeled.
The following questions represent important concepts covered in Math 002. You are responsible for all material
contained on previous exams and skills tests.
1. Given the graph of
a)
, assume that endpoints are included and determine each of the following:
;
b) the domain;
c) the range.
2. Write the equation of the line with the following conditions. Express your answer in slope-intercept form.
a)
Passes through the points
b)
Passes through
c)
Passes through
.
and parallel to the line
.
and perpendicular to the line
.
3. For each, find the slope and y-intercept, and then graph the line.
a)
b)
4. For each, find the x- and y- intercepts algebraically and then graph the line.
a)
b)
5. If
a)
and
b)
, find the following:
c)
d)
e)
6. Solve. Write solutions to inequalities in interval notation and graph on a number line.
a)
b)
c)
d)
e)
f)
g)
7. Solve, graph your answer on a number line, and write your answer in interval notation.
a)
b)
c)
8. A vendor sells a tool chest at a flea market for $65. She makes a profit of 30% on each tool chest sold. What
does she pay the manufacturer for each tool set?
9. A man has a 52-foot roll of fencing to make a rectangular shaped kennel. If he wants the kennel to be 6 feet
longer than it is wide, find its dimensions.
10. Set up an inequality that describes the following situation. Bank A charges $3.35 per month plus 7 cents per
check. Bank B charges $4.50 per month. For what number of checks per month will Bank B’s plan cost less per
month?
11. Graph the intersection of the following system. Label each boundary line.
12. Solve the following systems of equations using each method: graphing, substitution, and elimination.
a)
b)
c)
13. A movie theater charges $9.00 for adults and $7.00 for senior citizens. On a day when 325 people paid for
admission, the total receipts were $2495. How many of each ticket were sold?
14. Solve by factoring.
a)
b)
c)
d)
e)
f)
15. Divide.
a)
b)
16. Perform the indicated operation. Simplify if possible.
a)
d)
b)
c)
e)
17. JoAnn can wallpaper a bathroom in 3 hours. Bonnie can wallpaper the same bathroom in 5 hours. How long
would it take them if they worked together?
18. The current in a stream is 2 mph. Find the speed of the boat in still water if it goes 26 miles downstream in the
same amount of time it takes to go 18 miles upstream.
19. Simplify. Do not leave negative exponents in your final answer.
a)
b)
20. Perform the indicated operations. Simplify if possible. If complex, write answers in
a)
b)
c)
d)
e)
f)
g)
h)
i)
form.
21. Solve the equations for the variable. Identify any extraneous solutions.
a)
b)
c)
22. Find the distance between the given points.
a)
b)
c)
23. Use the Quadratic Formula to solve the equations.
a)
b)
c)
24. If one leg of a right triangle is 5 in. and the hypotenuse is 13 in., find the length of the other side.
25. One leg of a right triangle is 3 cm more than the second leg. If the hypotenuse is 6 cm, find the length of the
other leg.
26. Find the domain of the function.
a)