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Integer Operations

These problems are based on operations with integers, including exponents, order of operations, and absolute value. The problems should be suitable for the beginning algebra student and don't
require later algebra knowledge.
 Related Resources

Interactive resources from our Math Tools project:
Algebra: Integer Operations
The closest match in our Ask Dr. Math archives:
High School: Algebra
NCTM Standards:
Algebra Standard for Grades 912
Access to these problems requires a Membership.

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>>

Eduardo's Equations
 Steve Risberg Annie Fetter

Algebra, difficulty level 1. Find all possible integer solutions to a system of four equations in
two variables.
... more>>

Examining an Equation
 Steve Risberg

Algebra, difficulty level 2. Find integer solutions to an equation in two variables.
... more>>

Kristina's Code
 Suzanne Alejandre & Steve Weimar

Algebra, difficulty level 1. Use the four equations that Kristina wrote to figure out her two unknown numbers.
... more>>

Math on the Midway
 Steve Risberg

Algebra, difficulty level 1. Can you win the carnival midway math game by finding a pattern in
the numbers?
... more>>

Operation Warmup
 Annie Fetter

Algebra, difficulty level 2. Find all possible ordered pairs that are solutions to four given equations.
... more>>

Powerfull Fractions
 Terry Trotter

Algebra, difficulty level 1. Given the expression (A/B)^C + (D/E)^F + (G/H)^I, substitute the digits 1 through 9 for the variables so that the simplified value of the expression is an integer.
... more>>
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