Directions: Use non-zero whole numbers 1 to 30, at most once time each, to create a system of two linear equations where (3, 2) is the solution to the system. Source: Daniel Luevanos

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## Finding the Length of a Right Triangle’s Altitude

Directions: The black triangle is a right triangle with legs 8 and 6. The vertices are at the points (0,0), (0,8), and (6,0). The red line segment is perpendicular to hypotenuse. Find the length of the red line segment. Source: Kate Nerdypoo

Read More »## Create a System of Equations, Given 1 Equation and the Solution

Directions: Write at least two linear equations so that the solution of the system of equations of that line and 4x + y = 8 is (3, -4) Source: Nanette Johnson

Read More »## 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

Read More »## 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

Read More »## Systems of Three Equations – No Solution

Directions: Using the digits 1 through 9, at most one time each, create a system of equations that has no solutions. Source: Nanette Johnson and Robert Kaplinsky

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