See solution: In Exercises 120, let x represent the number. Use the given conditions to

Fill in each blank so that the resulting statement is true. If x represents a number, six subtracted from four times the number can be represented by ______________.

Fill in each blank so that the resulting statement is true. According to Forbes magazine, the top-earning dead celebrities in 2010 were Michael Jackson and Elvis Presley. Jacksons earnings exceeded Presleys earnings by 215 million. If x represents Presleys earnings, in millions of dollars, Jacksons earnings can be represented by ______________.

Fill in each blank so that the resulting statement is true. If the number of any left-hand page in this book is represented by x, the number on the facing page can be represented by ______________.

Fill in each blank so that the resulting statement is true. I can rent a car for 125 per week plus 0.15 for each mile driven. If I drive x miles in a week, the cost for the rental can be represented by ______________.

Fill in each blank so that the resulting statement is true. If x represents a rectangles width and 4x represents its length, the perimeter of the rectangle can be represented by _____________________.

Fill in each blank so that the resulting statement is true. I purchased a computer after a 35 price reduction. If x represents the computers original price, the reduced price can be represented by ________________.

In Exercises 120, let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number. A number increased by 60 is equal to 410. Find the number.

In Exercises 120, let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number. The sum of a number and 43 is 107. Find the number.

In Exercises 120, let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number. A number decreased by 23 is equal to 214. Find the number.

In Exercises 120, let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number. The difference between a number and 17 is 96. Find the number.

In Exercises 120, let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number. The product of 7 and a number is 126. Find the number.

In Exercises 120, let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number. The product of 8 and a number is 272. Find the number.

In Exercises 120, let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number. The quotient of a number and 19 is 5. Find the number.

In Exercises 120, let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number. The quotient of a number and 14 is 8. Find the number.

In Exercises 120, let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number. The sum of four and twice a number is 56. Find the number.

In Exercises 120, let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number. The sum of five and three times a number is 59. Find the number.

In Exercises 120, let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number. Seven subtracted from five times a number is 178. Find the number.

In Exercises 120, let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number. Eight subtracted from six times a number is 298. Find the number.

In Exercises 120, let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number. A number increased by 5 is two times the number. Find the number.

In Exercises 120, let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number. A number increased by 12 is four times the number. Find the number.

In Exercises 120, let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number. Twice the sum of four and a number is 36. Find the number.

In Exercises 120, let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number. Three times the sum of five and a number is 48. Find the number.

In Exercises 120, let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number. Nine times a number is 30 more than three times that number. Find the number.

In Exercises 120, let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number. Five more than four times a number is that number increased by 35. Find the number.

In Exercises 120, let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number. If the quotient of three times a number and five is increased by four, the result is 34. Find the number.

In Exercises 120, let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number. If the quotient of three times a number and four is decreased by three, the result is nine. Find the number.

In Exercises 2146, use the five-step strategy to solve each problem. How will you spend your average life expectancy of 78 years? The bar graph shows the average number of years you will devote to each of your most time-consuming activities. Exercises 2122 are based on the data displayed by the graph. According to the American Bureau of Labor Statistics, you will devote 37 years to sleeping and watching TV. The number of years sleeping will exceed the number of years watching TV by 19. Over your lifetime, how many years will you spend on each of these activities?

In Exercises 2146, use the five-step strategy to solve each problem. How will you spend your average life expectancy of 78 years? The bar graph shows the average number of years you will devote to each of your most time-consuming activities. Exercises 2122 are based on the data displayed by the graph. According to the American Bureau of Labor Statistics, you will devote 32 years to sleeping and eating. The number of years sleeping will exceed the number of years eating by 24. Over your lifetime, how many years will you spend on each of these activities?

In Exercises 2146, use the five-step strategy to solve each problem. How will you spend your average life expectancy of 78 years? The bar graph shows the average number of years you will devote to each of your most time-consuming activities. The average yearly salary of an American whose final degree is a masters is 49 thousand less than twice that of an American whose final degree is a bachelors. Combined, two people with each of these educational attainments earn 116 thousand. Find the average yearly salary of Americans with each of these final degrees.

In Exercises 2146, use the five-step strategy to solve each problem. How will you spend your average life expectancy of 78 years? The bar graph shows the average number of years you will devote to each of your most time-consuming activities. The average yearly salary of an American whose final degree is a doctorate is 39 thousand less than twice that of an American whose final degree is a bachelors. Combined, two people with each of these educational attainments earn 126 thousand. Find the average yearly salary of Americans with each of these final degrees.

In Exercises 2146, use the five-step strategy to solve each problem. How will you spend your average life expectancy of 78 years? The bar graph shows the average number of years you will devote to each of your most time-consuming activities. The sum of the page numbers on the facing pages of a book is 629. What are the page numbers?

In Exercises 2146, use the five-step strategy to solve each problem. How will you spend your average life expectancy of 78 years? The bar graph shows the average number of years you will devote to each of your most time-consuming activities. The sum of the page numbers on the facing pages of a book is 525. What are the page numbers?

In Exercises 2146, use the five-step strategy to solve each problem. How will you spend your average life expectancy of 78 years? The bar graph shows the average number of years you will devote to each of your most time-consuming activities. Roger Maris and Babe Ruth are among the ten baseball players with the most home runs in a major league baseball season. The number of home runs by these players for the seasons shown are consecutive odd integers whose sum is 120. Determine the number of homers hit by Ruth and by Maris.

In Exercises 2146, use the five-step strategy to solve each problem. How will you spend your average life expectancy of 78 years? The bar graph shows the average number of years you will devote to each of your most time-consuming activities. Babe Ruth and Hank Greenberg are among the ten baseball players with the most home runs in a major league baseball season. The number of home runs by these players for the seasons shown are consecutive even integers whose sum is 118. Determine the number of homers hit by Greenberg and by Ruth.

In Exercises 2146, use the five-step strategy to solve each problem. How will you spend your average life expectancy of 78 years? The bar graph shows the average number of years you will devote to each of your most time-consuming activities. A car rental agency charges 200 per week plus 0.15 per mile to rent a car. How many miles can you travel in one week for 320?

In Exercises 2146, use the five-step strategy to solve each problem. How will you spend your average life expectancy of 78 years? The bar graph shows the average number of years you will devote to each of your most time-consuming activities. A car rental agency charges 180 per week plus 0.25 per mile to rent a car. How many miles can you travel in one week for 395?

In Exercises 2146, use the five-step strategy to solve each problem. How will you spend your average life expectancy of 78 years? The bar graph shows the average number of years you will devote to each of your most time-consuming activities. In 2008, mortgage payments averaged 1514 per month. For the period shown, monthly mortgage payments increased by approximately 20 per year. If this trend continues, how many years after 2008 will mortgage payments average 1714? In which year will this occur?

In Exercises 2146, use the five-step strategy to solve each problem. How will you spend your average life expectancy of 78 years? The bar graph shows the average number of years you will devote to each of your most time-consuming activities. In 2008, rent payments averaged 824 per month. For the period shown, monthly rent payments increased by approximately 7 per year. If this trend continues, how many years after 2008 will rent payments average 929? In which year will this occur?

In Exercises 2146, use the five-step strategy to solve each problem. How will you spend your average life expectancy of 78 years? The bar graph shows the average number of years you will devote to each of your most time-consuming activities. A rectangular field is four times as long as it is wide. If the perimeter of the field is 500 yards, what are the fields dimensions?

In Exercises 2146, use the five-step strategy to solve each problem. How will you spend your average life expectancy of 78 years? The bar graph shows the average number of years you will devote to each of your most time-consuming activities. A rectangular field is five times as long as it is wide. If the perimeter of the field is 288 yards, what are the fields dimensions?

In Exercises 2146, use the five-step strategy to solve each problem. How will you spend your average life expectancy of 78 years? The bar graph shows the average number of years you will devote to each of your most time-consuming activities. An American football field is a rectangle with a perimeter of 1040 feet. The length is 200 feet more than the width. Find the width and length of the rectangular field.

In Exercises 2146, use the five-step strategy to solve each problem. How will you spend your average life expectancy of 78 years? The bar graph shows the average number of years you will devote to each of your most time-consuming activities. A basketball court is a rectangle with a perimeter of 86 meters. The length is 13 meters more than the width. Find the width and length of the basketball court.

In Exercises 2146, use the five-step strategy to solve each problem. How will you spend your average life expectancy of 78 years? The bar graph shows the average number of years you will devote to each of your most time-consuming activities. A bookcase is to be constructed as shown in the figure. The length is to be 3 times the height. If 60 feet of lumber is available for the entire unit, find the length and height of the bookcase.

In Exercises 2146, use the five-step strategy to solve each problem. How will you spend your average life expectancy of 78 years? The bar graph shows the average number of years you will devote to each of your most time-consuming activities. The height of the bookcase in the figure is 3 feet longer than the length of a shelf. If 18 feet of lumber is available for the entire unit, find the length and height of the unit. length height

In Exercises 2146, use the five-step strategy to solve each problem. How will you spend your average life expectancy of 78 years? The bar graph shows the average number of years you will devote to each of your most time-consuming activities. After a 20 reduction, you purchase a television for 320. What was the televisions price before the reduction?

In Exercises 2146, use the five-step strategy to solve each problem. How will you spend your average life expectancy of 78 years? The bar graph shows the average number of years you will devote to each of your most time-consuming activities. After a 30 reduction, you purchase a DVD player for 98. What was the price before the reduction?

In Exercises 2146, use the five-step strategy to solve each problem. How will you spend your average life expectancy of 78 years? The bar graph shows the average number of years you will devote to each of your most time-consuming activities. This years salary, 50,220, is an 8 increase over last years salary. What was last years salary?

In Exercises 2146, use the five-step strategy to solve each problem. How will you spend your average life expectancy of 78 years? The bar graph shows the average number of years you will devote to each of your most time-consuming activities. This years salary, 42,074, is a 9 increase over last years salary. What was last years salary?

In Exercises 2146, use the five-step strategy to solve each problem. How will you spend your average life expectancy of 78 years? The bar graph shows the average number of years you will devote to each of your most time-consuming activities. Including 6 sales tax, a car sold for 23,850. Find the price of the car before the tax was added.

In Exercises 2146, use the five-step strategy to solve each problem. How will you spend your average life expectancy of 78 years? The bar graph shows the average number of years you will devote to each of your most time-consuming activities. Including 8 sales tax, a bed-and-breakfast inn charges 172.80 per night. Find the inns nightly cost before the tax is added.

In Exercises 2146, use the five-step strategy to solve each problem. How will you spend your average life expectancy of 78 years? The bar graph shows the average number of years you will devote to each of your most time-consuming activities. An automobile repair shop charged a customer 448, listing 63 for parts and the remainder for labor. If the cost of labor is 35 per hour, how many hours of labor did it take to repair the car?

In Exercises 2146, use the five-step strategy to solve each problem. How will you spend your average life expectancy of 78 years? The bar graph shows the average number of years you will devote to each of your most time-consuming activities. A repair bill on a sailboat came to 1603, including 532 for parts and the remainder for labor. If the cost of labor is 63 per hour, how many hours of labor did it take to repair the sailboat?

In your own words, describe a step-by-step approach for solving algebraic word problems.

Many students find solving linear equations much easier than solving algebraic word problems. Discuss some of the reasons why this is the case.

Did you have some difficulties solving some of the problems that were assigned in this Exercise Set? Discuss what you did if this happened to you. Did your course of action enhance your ability to solve algebraic word problems?

Write an original word problem that can be solved using a linear equation. Then solve the problem.

Rather than struggling with the assigned word problems, Ill ask my instructor to solve them all in class and then study the solutions.

By reasoning through word problems, I can increase my problem-solving skills in general.

I find the hardest part in solving a word problem is writing the equation that models the verbal conditions.

I made a mistake when I used x and x 2 to represent two consecutive odd integers, because 2 is even.

In Exercises 5558, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. Ten pounds less than Bills weight, x, equals 160 pounds is modeled by 10 x 160.

In Exercises 5558, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. After a 35 reduction, a computers price is 780, so its original price, x, can be found by solving x 0.35 780.

In Exercises 5558, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. If the length of a rectangle is 6 inches more than its width, and its perimeter is 24 inches, the distributive property must be used to solve the equation that determines the length.

In Exercises 5558, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. On a number line, consecutive integers do not have any other integers between them.

An HMO pamphlet contains the following recommended weight for women: Give yourself 100 pounds for the first 5 feet plus 5 pounds for every inch over 5 feet tall. Using this description, which height corresponds to an ideal weight of 135 pounds?

The rate for a particular international telephone call is 0.55 for the first minute and 0.40 for each additional minute. Determine the length of a call that costs 6.95.

In a film, the actor Charles Coburn played an elderly uncle character criticized for marrying a woman when he is 3 times her age. He wittily replies, Ah, but in 20 years time I shall only be twice her age. How old is the uncle and the woman?

Answer the question in the following Peanuts cartoon strip. (Note: You may not use the answer given in the cartoon!)

Solve and check: 4 5 x 16. (Section 2.2, Example 3)

Solve and check: 6(y 1) 7 9y y 1. (Section 2.3, Example 3)

Solve for : V 1 3 lh. (Section 2.4, Example 4)

Exercises 6668 will help you prepare for the material covered in the next section. Use A 12 bh to find h if A 30 and b 12.

Exercises 6668 will help you prepare for the material covered in the next section. Evaluate A 1 2 h(a b) for a 10, b 16, and h 7.

Exercises 6668 will help you prepare for the material covered in the next section. Solve: x 4(90 x) 40.

In Exercises 4653, use the five-step strategy to solve each problem. Six times a number, decreased by 20, is four times the number. Find the number.

In Exercises 4653, use the five-step strategy to solve each problem. In 2010, the wealthiest Americans were Bill Gates and Warren Buffett. At that time, Gatess net worth exceeded that of Buffetts by $9 billion. Combined, the two men were worth $99 billion. Determine each mans net worth in 2010. (Source: Forbes)

In Exercises 4653, use the five-step strategy to solve each problem. Two pages that face each other in a book have 93 as the sum of their page numbers. What are the page numbers?

In Exercises 4653, use the five-step strategy to solve each problem. population at each end of the age spectrum. For Americans under 20, the percentage of males is greater than the percentage of females and these percents are consecutive odd integers. What percentage of Americans younger than 20 are females and what percentage are males?

In Exercises 4653, use the five-step strategy to solve each problem. by approximately $42 billion per year for the period shown by the bar graph. If this trend continues, in how many years after 2001 will the defense budget be $904 billion? In which year will that be?

In Exercises 4653, use the five-step strategy to solve each problem. A banks total monthly charge for a checking account is $6 plus $0.05 per check. If your total monthly charge is $6.90, how many checks did you write during that month?

In Exercises 4653, use the five-step strategy to solve each problem. A rectangular field is three times as long as it is wide. If the perimeter of the field is 400 yards, what are the fields dimensions?

In Exercises 4653, use the five-step strategy to solve each problem. After a 25% reduction, you purchase a table for $180. What was the tables price before the reduction?