  # Math233 Final Exam Review

Due 5/19/09 before the final. The following questions are similar to some of those you will
encounter on the final. Complete and show your work on a seperate sheet of paper.

REMARK 1. This review sheet is a guideline and a starting point, it is expected that you also
review all past exams and exam reviews.

1. Chapter 1 - Order of operations , rules of exponents, simplifying exponents, scientific notation.
See also review for exam 1.

(a) Evaluate the following:  when x = 9, y = -3.

(b) Simplify and write the answer without a negative exponent : 2. Chapter 2 - Solve linear equations , problem solving (word problems), linear inequalities, abso-
lute values.

(a) Solve the linear equations or inequalities: 3. Chapter 3 - Understand functions and graphing, graphing lines, slope, slope-intercept form,
point- slope form , graphing linear inequalities.

(a) Know how to use the vertical line test. (See problem 1 from exam 2 review).
(b) For the functions , evaluate (f/g)(2)
(c) Equations of lines :
i. Find the x- and y-intercept of 2x - 3y = 12, graph the line.
ii. Find the slope and y-intercept of 5x + 15y = 30, graph the line.
iii. Find an equation of the line that passes through the points (1, 3) and (2, -1).
(d) Linear Inequalities : Graph 3x - 4y≤ 12

4. Chapter 4 - Solving systems of linear equations in two variables, matrix notation, Cramer's
Rule

(a) Solve systems of equations: (b) Solve the system of equations using Cramer' s rule : 5. Chapter 5 - Polynomials : addition, subtraction, multiplication, division, factoring.
(a) Multiply and simplify completely: (b) Divide using long division: (c) Factor : 6. Chapter 6 - Domains of rational functions, multiplication, division, addition and subtraction
of rational functions, finding LCD, solving rational equations.

(a) Multiply or divide, simplify completely: (b) Find the LCD and add or subtract, simplify completely: (c) Solve, remember to check your solutions: 7. Chapter 7 - Rational exponents, simplifying radicals, add, subtract, multiply, and divide rad-
icals, solve radical equations.

(a) Simplify: (b) Solve: 8. Chapter 8 - Completing the square , quadratic formula, quadratic form (substitution), graph
quadratic functions.

(a) Solve by completing the square: x2 + 10x = 11
(b) Solve using the quadratic formula : (2a + 3)(3a - 1) = 2
(c) Graph, label the vertex , y-intercept, and x-intercepts if any: f(x) = -x2 - 2x + 24

9. Chapter 9 - Composition and inverse of functions, graph exponential functions , definition and
properties of logarithm , common logarithms, solving exponential equations.

(a) If f(x) = 3x + 3 and g(x) = 2x + 5, find (f o g)(x)
(b) If find (c) Graph (d) Write in logarithmic form
(e) Write in exponential form.
(f) Solve the equation for x.
(g) Expand using the properties of logarithms: (h) Write as a single logarithm: (i) Solve 10. Word Problems - Know how to set up and solve the following application problems: Section
2.3 # 29; Section 2.4 # 1, 11; Section 4.3 # 5; Section 8.5 # 73, 99

 Prev Next

Start solving your Algebra Problems in next 5 minutes!   Algebra Helper Download (and optional CD) Only \$39.99 Click to Buy Now: OR   2Checkout.com is an authorized reseller
of goods provided by Sofmath

Attention: We are currently running a special promotional offer for Algebra-Answer.com visitors -- if you order Algebra Helper by midnight of June 22nd you will pay only \$39.99 instead of our regular price of \$74.99 -- this is \$35 in savings ! In order to take advantage of this offer, you need to order by clicking on one of the buttons on the left, not through our regular order page.

If you order now you will also receive 30 minute live session from tutor.com for a 1\$!

You Will Learn Algebra Better - Guaranteed!

Just take a look how incredibly simple Algebra Helper is:

Step 1 : Enter your homework problem in an easy WYSIWYG (What you see is what you get) algebra editor: Step 2 : Let Algebra Helper solve it: Step 3 : Ask for an explanation for the steps you don't understand: Algebra Helper can solve problems in all the following areas:

• simplification of algebraic expressions (operations with polynomials (simplifying, degree, synthetic division...), exponential expressions, fractions and roots (radicals), absolute values)
• factoring and expanding expressions
• finding LCM and GCF
• (simplifying, rationalizing complex denominators...)
• solving linear, quadratic and many other equations and inequalities (including basic logarithmic and exponential equations)
• solving a system of two and three linear equations (including Cramer's rule)
• graphing curves (lines, parabolas, hyperbolas, circles, ellipses, equation and inequality solutions)
• graphing general functions
• operations with functions (composition, inverse, range, domain...)
• simplifying logarithms
• basic geometry and trigonometry (similarity, calculating trig functions, right triangle...)
• arithmetic and other pre-algebra topics (ratios, proportions, measurements...)

ORDER NOW!   Algebra Helper Download (and optional CD) Only \$39.99 Click to Buy Now: OR   2Checkout.com is an authorized reseller
of goods provided by Sofmath "It really helped me with my homework.  I was stuck on some problems and your software walked me step by step through the process..." C. Sievert, KY Sofmath 19179 Blanco #105-234San Antonio, TX 78258 Phone: (512) 788-5675Fax: (512) 519-1805 Home   : :   Features   : :   Demo   : :   FAQ   : :   Order Copyright © 2004-2021, Algebra-Answer.Com.  All rights reserved.