# 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

four-function, scientific or graphing calculators are permitted. Devices that
include calculators among

their functions-cell phones, laptops, PDAs-are forbidden, as are calculators
with built-in 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
TI-89 and TI-92, as

well as the TI-Nspire CAS (the non-CAS TI-Nspire is allowed); the
Hewlett-Packard 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 CFX-9970G; and all
electronic writing pads or

pen-input 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 **

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:

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