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## Nanette Johnson ## Create a Quadratic Equation, Given Constraints

Directions: Write a quadratic equation that has a y-intercept of 24 and the distance between the x-intercepts is 10. Bonus: find more than 2 quadratic equations. Source: Daniel Luevanos

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## Adding Fractions 3

Directions: Using the digits 1 to 9 at most one time each, fill in the boxes so that the sum is as close to 1/2 as possible. Source: Daniel Luevanos

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## Create an Equation with a Given Solution

Directions: Using the digits 0 to 9 at most one time each, fill in the boxes to write three equations whose solution is -1/2. Source: Daniel Luevanos

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## Pythagorean Theorem

Directions: What could the lengths of the legs be such that the lengths of the legs are integers and x is an irrational number between 5 and 7? Source: Daniel Luevanos

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## Slope

Directions: Write a linear equation that has a slope of -100. Source: Kara Colley

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## X-Intercept

Directions: Write a linear equation that has an x-intercept of (-100, 0). Source: Kara Colley

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## Y-Intercept

Directions: Write a linear equation with a y-intercept of (0, -100). Source: Kara Colley

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## Product of Distributive Property

Directions: Decide if 30x – 12 could be a result of using the distributive property. If it is, find the possible combinations of factors whose product would be 30x – 12 (using integer coefficients and constants). Source: adapted from Nathan Charlton

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## Inequality with No Solution

Directions: Create an inequality that has no solution. Source: Kara Colley

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## Greatest Difference of Two Rounded Numbers

Directions: Using the digits 0 through 9, find the two numbers that, when rounded to 500 have the greatest possible difference. Each digit can only be used once. Source: Michael Wiernicki and Graham Fletcher

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