The Math Forum - Math Library - Basic Algebra

Drexel dragonThe Math ForumDonate to the Math Forum

The Math Forum Problems Library

Browse the Library
Home : Math Topics : Algebra : Basic Algebra

_____________________________________
Library Home || Primary || Math Fundamentals || Pre-Algebra ||
Algebra || Geometry || Discrete Math || Trig/Calc
_____________________________________

(membership required) || Become a Member || Learn about Membership
_____________________________________


  Subcategories   (see also All Sites in this category)
 
  All Sites - 206 items found, showing 1 to 50

  1. A 2-for-1 Lunch - Marsha Hurwitz
    Algebra, difficulty level 2. Two boys had lunch on a two-for-one coupon, plus taxes and tips. What was their percent of savings on the transaction? ...more>>

  2. Accounting for Age - Suzanne Alejandre
    Pre-Algebra, difficulty level 3. Given a number trick, explain why the result is always the original number followed by your age. ...more>>

  3. 'Ace' Trotter - Terry Trotter
    Algebra, difficulty level 1. A problem from the sports world regarding free-throw percentages. ...more>>

  4. Adrienne's Axel - Leslie Hogben
    Algebra, difficulty level 2. Adrienne, an algebraically inclined figure skater, figures an interesting problem for us. ...more>>

  5. The Ages of Sigma - Terry Trotter
    Algebra, difficulty level 1. Find the ages of the three artists who make up the latest singing sensation: Sigma. ...more>>

  6. All Wet - Linda Benton
    Algebra, difficulty level 3. Solve simultaneous equations, find area, and use the Pythagorean theorem and percentages to find the spraying distance needed for a circular sprinkler in a rectangular yard. ...more>>

  7. Alvin's Theorem - Terry Trotter
    Algebra, difficulty level 2. Alvin notices that the difference between any two consecutive square numbers can also be expressed as the sum of consecutive integers. Can you use algebra to show that this pattern is always true? ...more>>

  8. Ancestors - Steve Risberg
    Algebra, difficulty level 2. Find how many ancestors Gene had from various generations going back in time. ...more>>

  9. Apple Orchard - Steve Risberg
    Algebra, difficulty level 2. How many of each kind of apple did the Nomial family pick? ...more>>

  10. Approval Method of Voting - Ethel Breuche
    Algebra, difficulty level 3. In the country of Algpoweria, eligible voters can cast their votes for two candidates. Based on the clues given, find how many votes each candidate received and the number of eligible voters. ...more>>

  11. Are We There Yet? - Terry Trotter
    Algebra, difficulty level 1. Given what fractions of a car trip have been completed at two different times, can you predict when the trip will end? ...more>>

  12. Are You Positive? - Steve Risberg
    Algebra, difficulty level 3. Find all values of x that make a rational expression have a positive value. ...more>>

  13. As the Crow Flies - Terry Trotter
    Algebra, difficulty level 1. A percentage of crows sitting on a telephone line leaves, then returns. Find how many crows are present at the end. ...more>>

  14. At Least This Many - Terry Trotter
    Algebra, difficulty level 2. Using two data points from the NBA statistics chart, form an equation (y = mx + b style), then use it to predict other data points. ...more>>

  15. An "Average" Problem - Terry Trotter
    Algebra, difficulty level 2. Three test grades are removed from a set of scores. You are given the new set's average and a ratio involving the scores removed. What scores have been removed? ...more>>

  16. Baffling Brother - Steve Risberg
    Algebra, difficulty level 2. Brandon wows his sister by having her choose a secret number and make a series of calculations, then telling her what her final answer is. Can you use variables and algebra to explain how Brandon did it? ...more>>

  17. A Barrel of Fun - Lisa Lavelle
    Elementary, difficulty level 3. How much apple juice did the man keep? ...more>>

  18. Battle of the Bands - Terry Trotter
    Algebra, difficulty level 3. Students at Rahkenrole High School vote to decide which band should play at the end-of-year dance. After some students change their minds about which band to vote for, the result is a tie. Can you figure out how many ...more>>

  19. Blowin' in the Wind - Steve Weimar Steve Risberg
    Algebra, difficulty level 3. A plane flies a round-trip on a calm day and then flies the same trip on a windy day. How do the flying times compare? ...more>>

  20. Borrowed Books - Teaching the Young Learner Group
    Elementary, difficulty level 2. Determine the number of books in the borrowing library created by three friends. ...more>>

  21. The Bouncing Ball - Steve Risberg
    Algebra, difficulty level 1. A ball is dropped from 27 feet and bounces back to 2/3 of the height from which it fell. Find and use a formula to calculate the height of the nth bounce. ...more>>

  22. Bowling Buddies - Steve Risberg
    Algebra, difficulty level 2. Four friends go bowling and have a small contest. From the clues given about their scores, can you determine who won the contest? ...more>>

  23. The Box Supper - Terry Trotter
    Algebra, difficulty level 3. Find the amount of money that Judy Ann's "beau" paid at the box supper auction for her box of delicious food. ...more>>

  24. Bugs Bunny's Money - Terry Trotter
    Algebra, difficulty level 2. Find how much Mr. Bugs Bunny is carrying in a money bag, given clues such as the ratio of coins that are pennies and the percentage of coins that are dimes. ...more>>

  25. Building a Bakery - Steve Risberg
    Algebra, difficulty level 3. Find the best place to build the bakery so that the delivery miles to the stores are minimized. ...more>>

  26. Building Bouquets - Amanda Knott and the Western Oregon University Mentors
    Math Fundamentals, difficulty level 2. Help Jana determine how to divide her extra flowers for the flower shop special. ...more>>

  27. Bull's-eye Probability - Ethel Breuche
    Algebra, difficulty level 3. Find the probability of hitting a circular target board closer to the center. ...more>>

  28. Burger Inflation? - Annie Fetter, Terry Trotter, Steve Risberg, and Steve Weimar
    Algebra, difficulty level 2. Given the affect of inflation, is a national-chain hamburger cheaper or more costly than it was in 1970? ...more>>

  29. Buying Cola - Leon Roland & class
    Pre-Algebra, difficulty level 3. Where should Chuck shop to get the most cola? Is this the best buy? ...more>>

  30. Calendar Calculations - Steve Risberg
    Algebra, difficulty level 1. Write variable expressions for dates in a calendar pattern and use your expressions to explore a numeric relationship among those dates. ...more>>

  31. Calling Long Distance - Terry Trotter
    Algebra, difficulty level 1. Use simple equations to compare two telephone calling plans. ...more>>

  32. Card Covers - Claire Mead, Annie Fetter
    Pre-Algebra, difficulty level 1. Help Ellen, Lora, and Mai determine which purchase will cost them the least amount of money. ...more>>

  33. Carlita's CD Collection - Terry Trotter, Steve Risberg
    Algebra, difficulty level 2. Carlita describes how many CD's are in her collection in a rather mathematical way. Can you figure out how many there are? ...more>>

  34. Cherokee Creek Checkers Club - Terry Trotter
    Algebra, difficulty level 1. Until one month ago, the Checkers Club had won 40 of 90 matches so far this year. But last month they won 3 of every 5 games they played. How many games did they play last month if their overall winning percentage is ...more>>

  35. The Chip Swap Game - Ethel Breuche
    Algebra, difficulty level 4. The object of this game is to swap the positions of the different colored chips. Count the number of moves and, as you increase the number of chips, find the general formula. ...more>>

  36. Chirp! Chirp! - Annie Fetter
    Pre-Algebra, difficulty level 3. Find the temperature when a cricket chirps a certain number of times a minute. ...more>>

  37. The Christmas Gifts - Terry Trotter
    Algebra, difficulty level 2. A grandfather doles out his annual Christmas gifts to his beloved grandchildren in a most unusual way - mathematical, of course. ...more>>

  38. A Coat of Golden Angels - Terry Trotter
    Algebra, difficulty level 1. Show how to do scientific notation problems on an 8-digit, four-function calculator. ...more>>

  39. The Continued Fraction - Ethel Breuche
    Algebra, difficulty level 4. Find the value of a given continued fraction. ...more>>

  40. Copying Conundrum - Annie Fetter
    Algebra, difficulty level 1. Using a copy machine, copy an 8 x 10 inch picture at 80%. Then copy the copy at 80%, and repeat this until you have 5 copies of the original. What's the largest dimension now? What's a formula you could use? ...more>>

  41. Count Your Change - Steve Risberg & Terry Trotter
    Algebra, difficulty level 3. I have three times as many nickels as dimes in my pocket. If the number of coins is reversed, by what percent will the value of the money in my pocket increase? ...more>>

  42. A Cranberry Craving - Claire Mead, Suzanne Alejandre
    Pre-Algebra, difficulty level 2. Use the pattern to find out how many cranberries Carissa ate on Thanksgiving Thursday. ...more>>

  43. Crossing the River with Ogres - Claire Mead
    Math Fundamentals, difficulty level 2. Find out how many times the boat must cross the river to get all the gnomes and ogres to the other side. ...more>>

  44. The Custom of Customs - Ethel Breuche
    Algebra, difficulty level 2. Two wine merchants enter Paris with their merchandise. They need to pay custom duties. Each pays with francs and with some casks of wine. What is each cask of wine worth and what is the duty on each cask? ...more>>

  45. A Day at the Fairs - Terry Trotter via Kraitchik & Chuquet
    Algebra, difficulty level 2. A merchant went selling and buying at three city fairs. Did he make a profit or take a loss? ...more>>

  46. Diego's Building Block - Terry Trotter
    Algebra, difficulty level 3. Find the surface area of a rectangular prism, given the volume and information about the dimensions. ...more>>

  47. A Dog, a Hog, and a Frog - Redwood Empire Mathematics Tournament
    Algebra, difficulty level 2. Three animal friends want to cross a big swamp. How wide is that swamp? ...more>>

  48. Dollar Dealing - Suzanne Alejandre and Lillian Ray
    Pre-Algebra, difficulty level 2. How much money did Hector and Larissa each have? ...more>>

  49. Donald Duck's Trip - Terry Trotter
    Algebra, difficulty level 2. What fractional part of Donald's trip had he traveled by 4:00 P.M.? ...more>>

  50. Don't Be Square - Ethel Breuche
    Algebra, difficulty level 1. Use pattern recognition and square roots to find the sum of two numbers. ...more>>


 
Page:  1  2  3  4  5 [next>]


[Privacy Policy] [Terms of Use]

_____________________________________
Home || The Math Library || Quick Reference || Search || Help
_____________________________________

© 1994-2012 Drexel University. All rights reserved.
http://mathforum.org/
The Math Forum is a research and educational enterprise of the Drexel University School of Education.The Math Forum is a research and educational enterprise of the Drexel University School of Education.