Math Forum - Problems Library - Pre-Algebra, Algebra: Expressions

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Pre-Algebra
operations with numbers
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Expressions
The problems included here often can be solved using multiple methods, but students can be encouraged to try an algebraic approach which includes algebraic expressions.

Related Resources
Interactive resources from our Math Tools project:
   Math 7: Algebra and Expressions
The closest match in our Ask Dr. Math archives:
   Middle School: Algebra
NCTM Standards:
   Algebra Standard for Grades 6-8

Access to these problems requires a Membership.

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>>

Anh's Code - Annie Fetter
Pre-Algebra, difficulty level 2. Decode the five mathematical operations symbolized in three equations, then evaluate an expression. ... more>>

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>>

Choosing Cs - Lisa Lavelle, Suzanne Alejandre
Pre-Algebra, difficulty level 3. Given the expression c^2 - 2, what is the probability that the result is composite for integers -10 through -2? ... more>>

Club Competition - Suzanne Alejandre
Pre-Algebra, difficulty level 2. Determine how many teams the Fibonacci Middle School Math Club can enter in their first competition. ... more>>

The Complex Apartment Complex - Judy Ann Brown
Pre-Algebra, difficulty level 2. Find the number of apartments in a new building if each floor has twice as many apartments as the floor above. ... more>>

Distance Driving - Judy Ann Brown
Pre-Algebra, difficulty level 3. Write an expression that will help you determine how long it will take the car to travel any given number of kilometers. ... more>>

Election Day in Prealgpoweria - Steve Risberg, Suzanne Alejandre
Pre-Algebra, difficulty level 3. How many votes does each candidate in Prealgpoweria receive and how many eligible voters are there? ... more>>

Exploring Area - Judy Ann Brown
Pre-Algebra, difficulty level 4. Find information about Pick's theorem and solve an area problem using this method. ... more>>

Falling into Sequences - Judy Ann Brown
Pre-Algebra, difficulty level 3. Find the 20th term in a sequence using both a recursive method and an explicit formula. ... more>>

Gearing Up - Suzanne Alejandre
Pre-Algebra, difficulty level 3. Think about and explain the relationship between three different-sized gears. ... more>>

How Old is Ms. Nelson? - Judy Ann Brown
Pre-Algebra, difficulty level 2. Ms. Nelson claims that she is three times as old as her little sister. However, six years ago she was five times as old as her sister was. How old is Ms. Nelson? ... more>>

Lucky Lollipops - Suzanne Alejandre & Maria Fung and her students
Pre-Algebra, difficulty level 3. Find the number of lollipops Logan the Leprechaun gives away using his "lucky" method. ... more>>

Prime Probability - Lisa Lavelle
Pre-Algebra, difficulty level 3. Given the expression n^2 - 5, what is the probability that the result is prime for integers between 2 and 12? ... more>>

Quilting Squares - Suzanne Alejandre
Pre-Algebra, difficulty level 2. Help with some quick calculations of the amount of fabric needed for this quilt design. ... more>>

Riz's Route - Richard Tchen & Steve Risberg
Pre-Algebra, difficulty level 3. Where is Riz standing when he realizes it would be the same distance to continue walking on the longer path as it would be to turn around and take the shortcut? ... more>>

Santa's Little Helpers - Judy Ann Brown
Pre-Algebra, difficulty level 3. Help Santa to solve the puzzle created by the clever elves. ... more>>

Seesaw - Suzanne Alejandre
Pre-Algebra, difficulty level 3. How did the four friends balance on the seesaw? ... more>>

The Tower of Hanoi Puzzle - Roya Salehi
Pre-Algebra, difficulty level 4. Tower of Hanoi: What is the minimum number of moves it will take to transfer 25 disks from one post to another? ... more>>

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