Math 40 Final Exam Review
Notice that topics here are arranged a little bit differently
than the order in which you learned them. This is to help you to see the
similarities and contrasts between all the different topics you have learned
over the semester. Example problems are listed with each topic; all chosen
problems are those that have solutions in the back of the textbook.
Suggested study plan: Plan on studying for seven days. Each
day, practice the problems in one category and work through a couple of problems
in the “Applications” category. In this manner, you can prepare for your final
exam over one week. Certainly, if you are having trouble with a topic, you will
want to do more than the suggested problems to gain a mastery of the topic.
Simplifying |
Simplify a numeric expression using the order of
operations and simplify absolute values. |
1.7 #67, 77, 87 |
Convert between decimal and scientific
notation. |
5.3 #15, 27, 31, 35 |
Simplify signed numbers and fractions raised to
exponents. |
1.7 #27, 28, 31,
5.2 #15, 65 |
Simplify an exponential expression using the
various rules of exponents. |
5.1 #39, 51, 75 |
Simplify terms with negative and zero
exponents. |
5.2 #19, 33, 43, 55, 57, 65 |
Completely factor a polynomial.
|
547 #3-18 |
Simplify a rational expression . |
7.1 #45, 47, 81, 83 |
Simplify complex fractions .
|
7.5 #29, 33, 57, 61 |
Evaluate |
Evaluate an algebraic expression for given
variable values . |
1.8 #87, 91
5.5 #57 6.1 #21 |
Determine whether a number is a solution to a
given equation.
|
2.1 #19, 29, 31 |
Determine whether a point is a solution to a linear
equation.
|
3.2 #19, 27 |
Construct a table of values for a given linear
equation and graph the equation . |
3.2 #49, 55 |
Construct a table of values for a given simple
nonlinear equation and graph the equation. |
5.4 #69, 75 |
Solve |
Solve linear equations in one variable, including
those with parentheses. |
2.2 #27, 39, 47, 61, 87 |
Solve a linear inequality. Use interval
notation |
2.7 #37, 45, 53, 67 |
Solve literal equations. |
2.4 #39, 45, 53, 61, 71
7.6 #59, 67 |
Clear fractions from linear equations. |
2.2 #67, 69, 79 |
Solve a quadratic equation that can be solved by
factoring. |
6.7 #23, 33, 39, 49, 63, 65 |
Solve a proportion |
7.8 # 35, 39, 47 |
Solve a rational equation |
7.6 #25, 37, 51, 53 |
Add or Subtract |
Add or subtract signed
numbers and fractions |
1.4 #35, 53 1.5 #37, 53 |
Add or subtract variable
expressions using like
terms. |
5.5 #21, 33 |
Add or subtract polynomials |
5.5 #39, 61, 65, 81, 93 |
Add or subtract rational expressions with like or
unlike denominators . |
7.3 #41, 43, 51
7.4 #39, 45, 53, 55 |
Multiply |
Multiply signed numbers |
1.6 #41, 43 |
Multiply fractions |
1.2 #87, 93 1.6 #85 |
Multiply numbers written in
scientific notation. |
5.3 #61, 63, 71 |
Multiply two exponential expressions and apply
the correct exponent rules. |
5.1 #41
5.6 #19, 21, 23 |
Multiply polynomials of
various sizes. |
5.6 #29, 53, 59, 71 |
Multiply rational
expressions and simplify. |
7.2 #21, 27, 31 |
Simplify an exponential expression that is raised
to a power. |
5.1 #79, 109, 115
5.2 #87, 97 |
Simplify a squared
binomial. |
5.7 #15, 23, 27 |
Divide |
Divide signed numbers. Evaluate zero in
quotients. |
1.6 #63, 73, 75 |
Divide fractions |
1.2 #77, 91 1.6 #77 |
Divide two exponential
expressions |
5.1 #57, 97 5.2 #91, 107,115 |
Divide numbers written in
scientific notation. |
5.3 #67, 69 |
Divide a polynomial by a
monomial. |
5.8 #35, 47 |
Divide a polynomial by a binomial using
polynomial long division. |
5.8 #49, 71, 77, 95 |
Divide rational expressions
and simplify. |
7.2 #49, 53, 59 |
Lines |
Calculate the slope between two points or from
the graph of a line. |
3.4 #23, 25, 35, 41, 47 |
Understand the equations and slopes of horizontal
and vertical lines. |
3.2 #69, 71
3.4 #45, 61, 67 |
Rearrange and interpret the equation of a line to
find the slope and y-intercept. |
3.5 #13, 37, 43 |
Find the intercepts of a line . Use intercepts to
graph. |
3.2 #21, 37 |
Find the equations of a line in various
circumstances. |
3.6 #13, 21, 25, 35, 43, 47 |
Given the slope and y-intercept, write the
equation for the line and graph it. |
3.5 #51, 57 |
Graph a line given its
equations. |
3.5 #67, 73 |
Graph a linear inequality. |
3.7 #39, 49, 63 |
Applications |
Translate words into an algebraic equation and
solve. |
2.5 #13, 15, 41 2.7 #99 |
Plot data and interpret the meaning of a specific
point. |
3.1 #37, 39 |
Solve percent problems.
|
2.3 #31, 39, 45 |
Given a mathematical equation that models a
real -world situation, evaluate the equation for
specific data and interpret the result. Note: You
will be given the appropriate equation to use. |
2.4 #15, 23
3.2 #77, 79 3.3 #81
5.4 #83
7.1 #97 |
Solve problems that involve area and perimeter of
simple geometric figures. |
2.4 #81, 85 |
Translate words describing a linear relationship
into a linear equation. |
3.5 #95, 97
3.6 #77 |
Solve work-rate problems. |
7.7 #35, 39 |
Solve distance, rate, time
problems. |
2.4 #19
7.7 #23, 29 |
Solve proportion problems
|
7.8 #53, 79, 85, 87 |
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
November 21st
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 #105-234 San Antonio, TX 78258
|
Phone:
(512) 788-5675 Fax: (512) 519-1805
| | |