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## Robert Kaplinsky ## Parallel Lines and Transversals

Directions: Using the digits 1 to 9 at most one time each, fill in the boxes so that 2 of the lines are parallel and the third line is a transversal. Source: Shelli Foust

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## Adding Two-Digit Numbers Given One

Directions: Using the digits 0 to 9 at most one time each, fill in the boxes to make a true equation. Source: Robert Kaplinsky

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## Quadratics with Defined Roots in Standard Form

Directions: Create three equations for quadratics in standard form that have roots at 3 and 5. Source: Robert Kaplinsky

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## Quadratics with Defined Roots in Vertex Form

Directions: Create three equations for quadratics in vertex form that have roots at 3 and 5 but have different maximum and/or minimum values. Source: Robert Kaplinsky

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## Subtracting Mixed Numbers

Directions: Create three different mixed numbers that will make the equation true by using the digits 1 to 9 at most one time each. You may reuse the same numbers for each of the three mixed numbers. Source: Robert Kaplinsky

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## Mean, Median, and Range

Directions: Create a set of five whole numbers from 1 to 20 that have the same mean, median, and range. Source: Eric Berchtold and Melissa Minnix

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## Systems of Equations – One Solution

Directions: Using the integers from -9 to 9, at most one time each, create a system of three-equations such that the solution is (1,1). Source: Audrey Mendivil, Daniel Luevanos, and Robert Kaplinsky

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## Systems of Three Equations – Multiple Solutions

Directions: Using the digits 1 through 9, at most one time each, create a system of equations that has as many solutions as possible. Source: Audrey Mendivil, Daniel Luevanos, and Robert Kaplinsky

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## Mean Absolute Deviation

Directions: Give an example of two sets of numbers that form identical box plots (also called box-and-whisker plots) but have different mean absolute deviation values. Source: Robert Kaplinsky with help from Pamela Franklin

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## Adding Decimals (Middle School)

Directions: Using the digits 1 to 9 at most one time each, fill in the boxes to make the smallest (or largest) sum. Note: This problem’s difficulty can be adjusted by altering the number of digits (boxes), picking smallest or largest, or by picking either a positive, negative, or both. Source: Robert Kaplinsky

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