TOPICS
This page:
algebra
distanceratetime
equations
expressions
linear relationships
variables
About Levels
of Difficulty
PreAlgebra
operations with numbers
number sense
number theory
fractions, decimals,
percentages
integers
algebra
ratio & proportion
geometry in the plane
geometry in space
measurement
statistics
probability
logic & set theory
discrete math
Browse all
PreAlgebra
Problems
PreAlgebra
Home
About the
PoW Library


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 68
Access to these problems requires a Membership.

Accounting for Age
 Suzanne Alejandre

PreAlgebra, 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

PreAlgebra, difficulty level 2. Decode the five mathematical operations symbolized in three equations, then evaluate an expression.
... more>>

Card Covers
 Claire Mead, Annie Fetter

PreAlgebra, 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

PreAlgebra, 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

PreAlgebra, 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

PreAlgebra, 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

PreAlgebra, 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

PreAlgebra, 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

PreAlgebra, difficulty level 4. Find information about Pick's theorem and solve an area problem using this method.
... more>>

Falling into Sequences
 Judy Ann Brown

PreAlgebra, difficulty level 3. Find the 20th term in a sequence using both a recursive method and an explicit formula.
... more>>

Gearing Up
 Suzanne Alejandre

PreAlgebra, difficulty level 3. Think about and explain the relationship between three differentsized gears.
... more>>

How Old is Ms. Nelson?
 Judy Ann Brown

PreAlgebra, 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

PreAlgebra, difficulty level 3. Find the number of lollipops Logan the Leprechaun gives away using his "lucky" method.
... more>>

Prime Probability
 Lisa Lavelle

PreAlgebra, 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

PreAlgebra, 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

PreAlgebra, 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

PreAlgebra, difficulty level 3. Help Santa to solve the puzzle created by the clever elves.
... more>>

Seesaw
 Suzanne Alejandre

PreAlgebra, difficulty level 3. How did the four friends balance on the seesaw?
... more>>

The Tower of Hanoi Puzzle
 Roya Salehi

PreAlgebra, 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>>
Page: 1
