  # 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
 Prev Next

Start solving your Algebra Problems in next 5 minutes!      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 September 17th 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!         