Lial m. hornsby j. mcginnis t.pdf free download

About the Author s. Layers of covers on corners are moderately split. His love for both teaching and for mathematics is evident in his passion for working with students and fellow teachers as well. Share a link to All Resources. Intermediate Algebra 9th Edition Margaret L. Accessories such as CD, codes, toys, may not be included. Rips and tears to cover and pages. Your Brain Can Alfebra Mathematics.

Choose expedited shipping if available for much faster delivery. Binding and cover solidly connected. Instructor resource file download The work is protected by local and international copyright laws and is provided solely for the use of instructors in teaching their courses and assessing student learning.

Ample Opportunity for Review One of the most admired features of Lial textbooks is the extensive and well-thought-out end-of-chapter material. Analyzing Your Test Results.

A built-in solutions manual in the back of the text offers solutions for select exercises. The new Chapter Test Prep Video CD provides step-by-step solutions to every problem in the chapter tests, and is included with every copy of the book. Terry has intermediatee involved in college mginnis publishing for over 15 years, working with a variety of authors on textbooks in developmental and precalculus mathematics.

Another way to begin is to divide by the coefficient 2. We can show that this result is equivalent to our result in Example 2 by rewriting L as 22 L. The final line agrees with the result in Example 2. In Example 4, we solve an equation with two variables for one of these variables. This process will be useful when we work with linear equations in two variables in Chapter 4. Our goal is to isolate y on one side of the equation.

What is her average rate? Finding Average Rate Phyllis Koenig found that on average it took her 34 hr each day to drive a distance of 15 mi to work. What was her average rate or speed? Now find the rate by substituting the given values of d and t into this formula. Multiply by the reciprocal of That is, at times she may have traveled a little faster or slower than 20 mph, but overall her rate was 20 mph.

An important everyday use of mathematics involves the concept of percent. Then the following equation can be used to solve a percent problem. What is the percent of antifreeze in the mixture? What is the percent of acid in the mixture? The given amount of the mixture is 50 L, and the part that is acid is 10 L. Let x represent the percent of acid in the mixture. Let x represent the amount of interest earned that is, the part of the whole amount invested. How much was spent on vet care?

Round your answer to the nearest tenth of a billion dollars. Percent is often used to express a change in some quantity. Buying an item that has been marked up and getting a raise at a job are applications of percent increase. Buying an item on sale and finding population decline are applications of percent decrease. To solve problems of this type, we use the following form of the percent equation.

What was the percent markup? Use the original cost. What was the percent markdown? What was the percent increase? Find the percent decrease to the nearest tenth. CAUTION When calculating a percent increase or decrease, be sure that you use the original number before the increase or decrease as the base.

A common error is to use the final number after the increase or decrease in the denominator of the fraction. Concept Check When a formula is solved for a particular variable, several different equivalent forms may be possible.

Which one of D. See Example 4. See Example 5. Ryan Newman won the Daytona mile In , rain shortened the Indianapolis race to mi. It was won by Dario race with a rate of Franchitti, who averaged Find his time to the nearest thousandth. Nora Demosthenes traveled from Kansas City to Louisville, a distance of mi, in 10 hr.

Find her rate in miles per hour. The distance from Melbourne to London is 10, mi. If a jet averages mph between the two cities, what is its travel time in hours? Find the corresponding Fahrenheit temperature. Source: National Climatic Data Center. Find the corresponding Celsius temperature. Source: National Climate Data Center.

The base of the Great Pyramid of Cheops is a square whose perimeter is m. What is the length of each side of this square?

Source: Atlas of Ancient Archaeology. Marina City in Chicago is a complex of two residential towers that resemble corncobs. Each tower has a concrete cylindrical core with a ft diameter and is ft tall.

Find the volume of the core of one of the towers to the nearest whole number. Hint: Use the p key on your calculator. The circumference of a circle is p in.

What is the radius? What is the diameter? The radius of a circle is 2. What is the circumference? A sheet of standard-size copy paper measures 8. If a ream sheets of this paper has a volume of in. Copy paper Exercise 31 also comes in legal size, which has the same width, but is longer than standard size. If a ream of legalsize paper has the same thickness as standard-size paper and a volume of in.

Solve each problem. See Example 6. A mixture of alcohol and water contains a total of 36 oz of liquid. There are 9 oz of pure alcohol in the mixture.

What percent of the mixture is water? What percent is alcohol? If the mixture contains a total of 40 L, how many liters of pure acid are in the mixture? How many liters of pure water are in the mixture? What is her rate of commission? What is the interest rate being paid on this deposit?

When a consumer loan is paid off ahead of schedule, the finance charge is less than if the loan were paid off over its scheduled life. Use the formula for the rule of 78 to work Exercises 37— Sondra Braeseker bought a new car and agreed to pay it off in 36 monthly payments.

Find the unearned interest if she paid the loan off 4 payments ahead of schedule. Donnell Boles bought a truck and agreed to pay it off in 36 monthly payments. With 12 payments remaining, he decided to pay the loan in full. Find the amount of unearned interest. If 24 equal monthly installments were needed to repay the loan, and the loan is paid in full with 8 months remaining, find the amount of unearned interest.

Maky Manchola is scheduled to repay a loan in 24 equal monthly installments. With 9 payments remaining, he decides to repay the loan in full. In baseball, winning percentage Pct. The final standings of the Eastern Division of the American League are shown in the table. Find the winning percentage of each team. As mentioned in the chapter introduction, Use this information to work Exercises 43— Round answers to the nearest percent in Exercises 43—44, and to the nearest tenth million in Exercises 45— About What percent of those owning at least one TV set was this?

How many households received basic cable? How many households received premium cable? The graph shows the percents spent for various categories. Use the graph to answer Exercises 47— See Example 7.

To the nearest dollar, how much will be spent to provide housing for the child? To the nearest dollar, how much will be spent for health care? Use your answer from Exercise 48 to find how much will be spent for child care and education.

Department of Agriculture. To the nearest percent, what percent of the cost of raising a child from birth through age 17 is this? Does your answer agree with the percent shown in the graph? Solve each problem about percent increase or percent decrease. See Example 8. What was the percent increase in his hourly wage? Clayton bought a ticket to a rock concert at a discount.

What was the percent discount? Between and , the estimated population of Pittsfield, Massachusetts, declined from , to , What was the percent decrease to the nearest tenth? Source: U. Between and , the estimated population of Anchorage, Alaska, grew from , to , What was the percent increase to the nearest tenth?

To the nearest tenth, what was the percent discount? See Section 2. The product of - 3 and 5, divided by 1 less than 6 Half of - 18, added to the reciprocal of 1 5 The sum of 6 and - 9, multiplied by the additive inverse of 2 The product of - 2 and 4, added to the product of - 9 and - 3 2. Write equations from given information. Distinguish between simplifying expressions and solving equations. Use the six steps in solving an applied problem.

Solve investment problems. Solve mixture problems. Translations of some commonly used expressions follow. For division, the number by which we are dividing is the denominator, and the number into which we are dividing is the numerator. Verbal Sentence Equation Twice a number, decreased by 3, is The quotient of a number and the number plus 4 is The quotient of a number and 4, plus the number, is An expression translates as a phrase.

Simplify any expressions, and solve any equations. The solution set is While there is no one method that allows us to solve all types of applied problems, the following six steps are helpful. What information is given? What is to be found? Step 2 Assign a variable to represent the unknown value. Use a sketch, diagram, or table, as needed. Write down what the variable represents. If necessary, express any other unknown values in terms of the variable.

Step 3 Write an equation using the variable expression s. Step 4 Solve the equation. Step 5 State the answer. Label it appropriately. Does it seem reasonable? Step 6 Check the answer in the words of the original problem.

The perimeter of the rectangle is cm. Find the length and the width of the rectangle. Step 1 Read the problem. What must be found? The length and width of the rectangle. What is given? The length is 1 cm more than twice the width and the perimeter is cm.

Step 2 Assign a variable. Use the formula for the perimeter of a rectangle. Step 4 Solve the equation obtained in Step 3. We also need to find the length. Divide by 6. The perimeter is 34 ft. Find the length and width of the rectangle.

Together, these two quarterbacks completed a total of 64 touchdown passes. How many touchdown passes did each player complete? The length, 37 cm, is 1 cm more than cm twice the width. The two pitchers had a total of strikeouts. Verlander had 8 more strikeouts than Lincecum. How many strikeouts did each pitcher have? We are asked to find the number of strikeouts each pitcher had.

Step 2 Assign a variable to represent the number of strikeouts for one of the men. We must also find the number of strikeouts for Justin Verlander.

Step 3 Write an equation. The sum of the numbers of strikeouts is Subtract 8. We let s represent the number of strikeouts for Lincecum, so Lincecum had The conditions of the problem are satisfied, and our answer checks.

Recall from Section 2. How many Introductory Statistics students were there in the fall of ? What were the approximate total health expenditures in billions of dollars in the United States in ? We must find the expenditures in Let x represent the total health expenditures for Step 3 Write an equation from the given information.

Divide by 2. Incorrect The percent must be multiplied by some number. In this case, the number is the amount spent in , giving 1. The investment problems in this chapter deal with simple interest. In most real-world applications, compound interest covered in a later chapter is used. How much should he invest at each rate? Step 1 Read the problem again. We must find the two amounts. Here the time t is 1 yr. Use a table to organize the given information.

Rate as a decimal Principal Interest x 0. Total Step 3 Write an equation. The last column of the table gives the equation. Find the annual interest at each rate. The equation will be different, but in the end the answers will be the same. Divide by 0. For a standard fuel, the octane rating is the percent of isooctane. The problem asks for the amount of pure isooctane. Complete a table.

The equation comes from the last column of the table. Subtract 0. Use x to represent the number. Use x to represent the unknown number.

Twice a number, decreased by 13 9. The product of 6 and a number, decreased by 14 The product of 8 and 16 less than a number The product of 8 more than a number and 5 less than the number The quotient of three times a number and 10 The quotient of 9 and five times a nonzero number Use the variable x for the unknown, and write an equation representing the verbal sentence.

Then solve the problem. The sum of a number and 6 is - Find the number. The sum of a number and - 4 is If the product of a number and - 4 is subtracted from the number, the result is 9 more than the number.

If the quotient of a number and 6 is added to twice the number, the result is 8 less than the number. When 23 of a number is subtracted from 14, the result is Decide whether each is an expression or an equation.

See Example 2. In , the corporations securing the most U. Together, the two corporations secured a total of patents, with Samsung receiving fewer patents than IBM. How many patents did each corporation secure? Patent and Trademark Office. Step 1 Read the problem carefully.

We are asked to find. IBM secured patents. In , 7. There was a total of How many traveled to each country? Department of Commerce. Then x - 7. There were to Canada. The number of was more than the number of and the total number of these travelers was See Examples 3 and 4. The John Hancock Center in Chicago has a rectangular base. The length of the base measures 65 ft less than twice the width. The perimeter of the base is ft.

What are the dimensions of the base? The John Hancock Center Exercise 29 tapers as it rises. The top floor is rectangular and has perimeter ft. The width of the top floor measures 20 ft more than one-half its length.

What are the dimensions of the top floor? The perimeter of the L top floor is ft. Grant Wood painted his most famous work, American Gothic, in on composition board with perimeter If the painting is 5. Source: The Gazette. The perimeter of a certain rectangle is 16 times the width.

The length is 12 cm more than the width. The Bermuda Triangle supposedly causes trouble for aircraft pilots. It has a perimeter of mi. The shortest side measures 75 mi less than the middle side, and the longest side measures mi more than the middle side. Find the lengths of the three sides. If the two walls of equal length were joined by a straight line of ft, the perimeter of the resulting triangle would be Find the lengths of the two walls.

Source: Pamphlet obtained at Vietnam Veterans Memorial. What were the revenues of each corporation? Together, there were 14, performances of these two shows during their Broadway runs. How many performances were there of each show? Source: The Broadway League. The two towers have a total height of ft.

How tall is each tower? What was the payroll for each team? Source: Associated Press. In the presidential election, Barack Obama and John McCain together received electoral votes. Obama received more votes than McCain. How many votes did each candidate receive? Together, they got hits in their careers. Hornsby got more hits than Williams. How many base hits did each get? Source: Neft, D.

Martins Griffin; New York, Solve each percent problem. In , the number of graduating seniors taking the ACT exam was 1,, In , a total of 1,, graduating seniors took the exam. By what percent did the number increase over this period of time, to the nearest tenth of a percent? Source: ACT. Composite scores on the ACT exam rose from What percent increase was this, to the nearest tenth of a percent? To the nearest dollar, what was the approximate cost in ?

Source: The College Board. By , it had risen approximately What was the cost, to the nearest cent, in ? Source: American Farm Bureau. Refer to Exercise Find the amount of the tax. What amount did he have after the agent was paid?

Solve each investment problem. How much did he invest at each rate? Principal Rate as a decimal x 0. How much was invested at each rate? Jennifer Siegel invested some money at 4. Piotr Galkowski invested some money at 3. Solve each problem involving rates of concentration and mixtures.

See Examples 7 and 8. Liters of Solution Percent as a decimal 10 0. Liters of Solution Percent as a decimal x 0. How much does he have invested at each rate? Problem B Jill has L of acid solution. Her final mixture of L is 8.

Work Exercises 65—68 in order. Write an equation representing this fact. N Skip lines and write neatly to make reading easier. N Include cautions and warnings to emphasize common errors to avoid. N Mark important concepts with stars, underlining, circling, boxes, etc.

End of chapter material offers ample opportunity for review. Test Your Word Power exercises in each Chapter Summary help students master mathematical vocabulary, so often a hurdle at this level. Chapter Tests include a fully worked out video solution for every exercise in the Chapter Test. Resources to support any classroom Updated - The extensive video program is updated to be as current as possible: An updated section lecture program covers every section of the text.

The majority of these videos have been re-filmed for the revision for a visually modern presentation sty. Additionally, shorter solution clip videos, Chapter Test Prep videos, and Quick Review section summary videos are part of the Lial video program, providing a video type for any need. A Guided Notebook helps students develop organized notes as they work through the course, establishing a good habit while also emphasizing the importance of writing and keeping mathematical work.

The Guided Notebook includes Guided Examples with Now Try exercises, extra practice, and key vocabulary terms with vocab practice, for every section from the text. Options for underprepared students To ensure students are caught up on prior skills, every Lial MyLab course now includes Integrated Review. Integrated Review provides embedded and personalized review of prerequisite topics within relevant chapters.

Students can check their prerequisite skills, and receive personalized practice on the topics they need to focus on, with study aids like worksheets and videos also available to help. Integrated Review assignments - including a Skills Check and personalized homework for the review topics - are premade and available to assign in the Assignment Manager. The review homework includes videos and worksheets as learning aids for relevant exercises to give students remediation right where they need it.

Integrated Review can support a corequisite course model, or any course where students would benefit from review. New - Learning Catalytics questions have been premade for every section of the text, giving instructors an easy starting point to take advantage of this learning tool. Updated - Study Skills support has been moved up to the front of each text in this revision.

These short activities provide helpful information, tips, and strategies on a variety of essential skills, and include ways for students to try out the strategy on their own. New - Extra review resources on the most difficult prerequisite topics such as fractions, decimals, and percents have been added, with an added emphasis on these topics in the Cumulative Reviews.

New - A Mindset module is available in the course, with growth mindset-focused videos and exercises that encourage students to maintain a positive attitude about learning, value their own ability to grow, and view mistakes as a learning opportunity. Preparedness - Options for addressing student preparedness include Integrated Review content, Learning Catalytics questions, and study skills materials. Deliver trusted content Author-specific MyLab content - Every exercise in the MyLab is created based on the Lial texts, ensuring that students have a consistent experience.

Conceptual understanding - Expanded Relating Concepts and Concept Check exercises in the text are assignable in MyLab Math to encourage students to connect ideas and see the bigger picture.

New to This Edition. Relating Concepts exercises have been increased in the revision. Relating Concepts exercise setstie the topics together and highlight the relationships among various concepts and skills.

What Went Wrong exercises have more than doubled in this revision. New figures and diagrams more than 50 added to Beginning Algebra support visual learners. These include new hand-drawn style graphs to give students a sense of what their own work should look like. Study Skills support has been moved up to the front of each text in this revision.

Content changes in Beginning Algebra, 13th Edition : Exercise sets have been scrutinized and updated with a renewed focus on conceptual understanding and skill development. Even and odd pairing of the exercises, an important feature of the text, has been carefully reviewed. Real-world data in all examples and exercises and in their accompanying graphs has been updated. An increased emphasis on the most difficult prerequisite topics - fractions, decimals, and percents - appears throughout the text.

Chapter R is expanded to include new figures and revised explanations and examples on converting among fractions, decimals, and percents. And an all-new set of Cumulative Review Exercises, many of which focus on fractions, decimals, and percents, is added at the end of Chapter 1. Sets of Cumulative Review Exercises in subsequent chapters now begin with new exercises that review skills related to these topics. A new Section 2. Two new examples have been included, and the number of exercises has been doubled.

Solution sets of linear inequalities in Section 2. Expanded Mid-Chapter Summary Exercises in Chapter 2 continue our emphasis on the difference between simplifying an expression and solving an equation. New examples in the Summary Exercises in Chapters 4, 6, and 9 illustrate and distinguish between solution methods. Presentations of the following topics have been enhanced and expanded, often including new examples and exercises: Order of operations involving absolute value expressions Section 1.

The extensive video program is updated to be as current as possible: A revised section lecture program covers every section of the text, and the majority of these videos have been re-filmed for a more visually appealing and modern presentation style. Additionally, shorter solution clip videos, Chapter Test Prep videos, and Quick Review section summary videos are part of the Lial video program, providing a video type for any need!

New Learning Catalytics questions have been premade for every section of the text, giving instructors an easy starting point to take advantage of this learning tool.

A new Mindset module is available in the course, with growth mindset-focused videos and exercises that encourage students to maintain a positive attitude about learning, value their own ability to grow, and view mistakes as a learning opportunity. Share a link to All Resources. Instructor Resources.