Solve equations and word problems - Speech or Presentation Example

Solving equations and word problems Jennifer Reed Blaker College Algebra Tuesday, 06 September Problem # Work Answer Feedback pts. Section 2.114-12x = 721610x + 3 = 15243(4 - y) = 5(y + 2)Open the brackets then collect the like terms.32Solve the following exercises. You may leave answers in either decimal or fraction form.48Solve each of the followingSection 2.22Solve for x10Solve for the variable specified solve for w14 Solve for h 24Cancer deaths: The cancer death rate (number of deaths per 100,000 people) in the United states can be approximated by the equation where x is the number of years since 1990.

Solve this for x. solutionUse this new equation to determine in which year the approximate cancer death rate will be 150. Since , and then; The number of years x will be calculated as; 26Patient appointments: Some doctors use the formula ND=1.08T to relate the variables N(the number of patient appointment the doctor schedules in one day),D(the duration of each patient appointment, and T (the total number of minutes the doctor can use to see patients in one day)(a)Solve the formula for N.

solution(b) Use this result to find the number of patient appointments N a doctor should make if she has 6 hours available for patients and each appointment is 15 minutes long .(Round your answer to the nearest whole number.) Substitute for the variables,PatientsSection 2.42Five-sixths of a number is -60. What is the number? 6Parking Garage Fees: The Greenville city Garage charges $5 for the first hour and then $2.75for each additional hour. How long has a car been parked at this garage if the parking charge is $29.75?solution; Let x be the number of additional hours.

8Personal banking: Winchesters Community Bank charges its customers $6 per month plus 15¢ per check for the use of standard checking account. Thomas had a checking account there for 8 months and was charged $53.10 in service charges. How many checks did he write during that period?Let c be the total number of checks;12Geometry; Dave and Jane wells have a new rectangular driveway. The perimeter of the driveway is 168 feet. The length is 12 feet longer than three times the width. What are the dimensions of the driveway?

Since the Width then; The length Solving this equation gives feetThe dimensions are;feet14Geometry; a leather coin purse has the shape of a triangle Two sides are equal in length and the third side is 3 centimeters shorter than one and one-half times the length of the equal sides. The perimeter is 28.5 centimeters. Find the lengths of the sidesLet the length of the equal sides be l then the shorter side will be expressed as;Its perimeter is can be calculated using the expression;cmThe shorter side will then be calculated using the formula;Where s represents the shorter side.

Substituting l gives;Each length l measures cmThe shorter side s =10.5 cmSection 2.54Health Club Memberships: In 2006, the number of Americans who were members of a health club was 42.7 million. This was an increase of 106% from the number of health club members in 1990. How many Americans were health club members in 1990?(Source: www.emaxhealt h.com)Let the number be x in 1990 which is 100%In 2006, 100% +106% of xThis translates to;of xHence, 14Interest on a loan: Juanita and Carlos borrowed $4800 at a simple interest rate of 11 % for a period of 2 years.

What was the interest?Simple interest expressed as a percentage.Where;T is timeP the principle and R the rate in percentage,The interest can then be calculated as; 16Earned Interest: David had $4000 invested for one fourth of a year at a simple interest rate of 6.1%. How much interest did he earnInterest earnedThe principle in this case is The rate is 6.1% and The time is Years.Interest 20Investment Income: Tori invested $8000 in money market funds. Part was invested at 5% simple interest, and the rest was invested at 7% simple interest.

At the end of 1 year, Tori had earned $496 in interest.How much did she invest in each fund?Solution Let the amount invested at 5% simple interest be x then the amount invested at 7% will be expressed as; $ 8000 less x the interest earned at 7% will be expressed asWhile the interest earned at 5% can be expressed as;But total interest is therefore from the two expressions;This is the amount invested at 5% simple interest.Therefore the amount invested at 7% should be At 7% =At 5% =30Boating on a Lake: The Clarke family went sailing on a lake.

Their boat averaged 6 kilometres per hour. The Rourke family took their outboard runabout for a trip on the lake for the same amount of time. Their boat averaged 14 kilometres per hour. The Rourke family travelled 20 kilometres farther than the Clarke Family. How many hours did each family spend on their boat trip.Solution Let the dist covered by the Clarke family be x.Since distance is 15 km then; The time taken= speed ÷ distancehoursSection 2.61018The negative signs are ignored and therefore read as;Hence; 305x - I > 29 solve for x3438Find the LCM,References:Solomon, P. G. (2007).

The Math We Need to know and Do in Grades 6-9: Concepts, Skills, Standards, and Assessments, 2nd edition, New York, NY: Corwin PressSterling, M. J. (2010). Algebra I for Dummies: Algebra 1 for Dummies: Algebra Workbook for Dummies, 2nd Ed. Hoboken, NJ: John Wiley & Sons.Tobey, J. & Slater, J (2010) Intermediate Algebra, 6th ed. Upper Saddle River, NJ: Pearson Prentice Hall