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This page:
algebra
 distance-rate-time
 equations
 expressions
 linear relationships
 variables

About Levels
of Difficulty
Pre-Algebra
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
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Pre-Algebra
Problems
Pre-Algebra
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Linear Relationships
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Pre-Algebra students are introduced to linear relationships by plotting points that satisfy the equation on a coordinate grid and seeing how the points can be connected to form a
line. Concepts of slope, equation of the line, and intersections of two lines (solving simultaneous equations) are covered at an introductory level.
- Related Resources
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Interactive resources from our Math Tools project:

Math 7: Algebra and Expressions
The closest match in our Ask Dr. Math archives:

Middle School: Graphing Equations
NCTM Standards:

Algebra Standard for Grades 6-8
Access to these problems requires a Membership.
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Account Balances
- Suzanne Alejandre
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Pre-Algebra, difficulty level 3. Will Tarak's and Nicholas's bank balances ever be exactly the same?
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Bank Balances
- Stephen Weimar
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Pre-Algebra, difficulty level 3. Will Tamil and Nydiyah bank balances ever be exactly the same?
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Chirp! Chirp!
- Annie Fetter
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Pre-Algebra, difficulty level 3. Find the temperature when a cricket chirps a certain number of times a minute.
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Distance Driving
- Judy Ann Brown
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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.
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Graphs
- Suzanne Alejandre, Annie Fetter
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Pre-Algebra, difficulty level 3. Match the descriptions to the graphs. Explain how to find one of the points on each graph and give the labels for the x- and y-axes.
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Mirror Musing
- Suzanne Alejandre
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Pre-Algebra, difficulty level 3. Using the information given in a picture of Hagrid and Baby Norbert, find out how tall each of them is.
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Saturday Bike Ride
- Judy Ann Brown
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Pre-Algebra, difficulty level 2. Now that spring has arrived, Ali and Maya decide to dust off their bikes and go for a Saturday ride. Help find what time they will meet.
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