Try our Free Online Math Solver!

Example Problems for the College Algebra Challenge Exam
Rules For All Challenge Exams
• All students may take a Challenge Exam to place out of College Algebra
or Algebra & Trigonometry.
Students who receive a grade of 70% or better on the Challenge Exam will receive
a waiver (no credit
given) for College Algebra or Algebra & Trigonometry.
• Time allotment: Students will have 90 minutes to complete the actual
challenge exam.
• A student may take only one of the exams at a time. For example, if your
program requires you to
take MTH 120 (College Algebra) and MTH 220 (Algebra & Trigonometry) you may take
only one of
these exams during orientation. If you pass the Algebra & Trigonometry Challenge
Exam then you
are waived from taking both courses. If you take and pass the College Algebra
Challenge Exam then
you are waived from taking College Algebra but not Algebra & Trigonometry. You
can then arrange
to take the Algebra & Trigonometry Challenge Exam at a later date.
• Calculator Restrictions : Only certain types of calculators may be used
during the test. Most
fourfunction, scientific or graphing calculators are permitted. Devices that
include calculators among
their functionscell phones, laptops, PDAsare forbidden, as are calculators
with builtin algebra
capabilities or QWERTY keyboard buttons. Also, certain specific models of
calculators are forbidden,
including the following: all Texas Instruments model numbers that begin with
TI89 and TI92, as
well as the TINspire CAS (the nonCAS TINspire is allowed); the
HewlettPackard hp 48GII model
and all model numbers that begin with hp 40G, hp 49G, or hp 50G; the Casio
Algebra fx 2.0,
ClassPad 300, and all model numbers that begin with CFX9970G; and all
electronic writing pads or
peninput devices, except for the Sharp EL 9600.
• The review sheets provide examples from the topics that you will
encounter on the actual exams.
They are not specific examples from the exam.
Example Problems for the College Algebra Challenge Exam
1. Topic: Order of Operations
Evaluate:
Answer:
2. Topic: Simplifying Algebraic Expressions
Simplify:
Answer:
3. Topic: Exponents
Simplify:
Answer:
4. Topic: Solving Linear Equations
Solve for x:
Answers:
5. Topic: Solving Word Problems Algebraically
Example: The three books atop the best seller list have a combined total
of 1200 pages. Book #2
has 24 less than twice the number of pages in Book #1, while Book #3 has 176
more pages than Book
#1. How many pages does each book have?
Answer: Book #1 has 262 pages, Book #2 has 500 pages, and Book #3 has 438
pages.
6. Topic: Solving Linear Inequalities
Solve for x:
Answers:
7. Topic: Lines
Find the equation of the line which
(a) passes through (1,5) and (6,9).
Answer:
(b) is parallel to the line and has a y intercept of 11.
Answer:
8. Topic: Multiplying Polynomials
Multiply:
Answers:
9. Topic: Factoring Polynomials
Factor completely:
Answers:
10. Topic: Solving Quadratic Equations
Solve for x:
Answer:
11. Topic: Simplifying Rational Expressions
Simplify:
Answer:
12. Topic: Multiplying and Dividing Rational Expressions
Perform the operations and simplify:
Answer:
13. Topic: Adding and Subtracting Rational Expressions
Perform the operations and simplify:
Answer:
14. Topic: Simplifying Complex Fractions
Simplify:
Answer:
15. Topic: Solving Rational Equations
Solve for x:
Answer: No Solutions (x = 3 is extraneous).
16. Topic: Simplifying, Adding, and Subtracting Radicals
Simplify:
Answer:
17. Topic: Operations with Complex Numbers
a) Multiply:
b) Divide:
Answers:
Prev  Next 