Tip: Read the problem several times before starting and try to understand the question.
Number Problem: The sum of two integers is 18. The larger number is 2 less than 3 times the smaller. Find the integers.
Tip: For full credit your instructor will insist that you use algebra to solve the word problems. Don't fight it, just identify the variables and use them to set up an algebraic equation.
Number Problem: One number is 3 more than another number. When two times the larger number is subtracted from 3 times the smaller number, the result is 6. Find the numbers.
Consecutive Odd Integers: The sum of two consecutive odd integers is 36. Find the integers.
Consecutive Integers: The sum of three consecutive integers is 24. Find the integers.
You will need to ask your instructor if you will be able to use a calculator. In either case, you should be able to work with decimals by hand. When money is involved be sure to round off to two decimal places.
Tax Problem: If a pair of Nike shoes cost $48.95 plus a 7 1/4% sales tax, what will the total be at the register?
Taxicab Problem: A taxicab charges $5.00 for the ride plus $1.25 per mile. How much will a 53 mile trip cost?
Basic Guidelines for Solving Word Problems:
- Read the problem several times and organize the given information.
- Identify the variables by assigning a letter to the unknown quantity.
- Set up an algebraic equation.
- Solve the equation.
- Finally, answer the question and make sure it makes sense.
Geometry Problem: A rectangle has a perimeter measuring 64 feet. The length is 4 feet more than 3 times the width. Find the dimensions of the rectangle.
Some perimeter formulas you are expected to know: ( π = 3.14)
Perimeter of a Circle: C = 2πr
Perimeter of a Triangle: P = a + b + c
Perimeter of a Square: P = 4s
Video Example: Find the Area of a Rectangle Given the Perimeter
Percent Problem: A $215,000 house requires a 20% down payment. How much will the down payment be for this home?
Percent Increase: A discount store paid $35.50 for a dress they are selling for $49.99. What is the store markup on this item?
Whenever setting up a percent problem always use the decimal or fractional equivalent of the percent. Generally, we wish to use real numbers in algebra. For example, instead of using 50 for 50% we will need to use 0.50 or 1/2. Also, if the question asks for a percentage then do not forget to convert your answer to percent.Distance Problem: The 375 mile drive to Las Vegas took 5 hours. What was the average speed?
Distance Problem: Joe and Bill are traveling across the country. Joe leaves one hour earlier than Bill at a rate of 60 miles per hour. If Bill leaves at a rate of 70 miles per hour, how long will it take him to catch up to Bill?
Video Examples on YouTube:
J. Redden on G+