# Tag Archives: A-REI.6

## Infinitely Many Solutions System of Equations

Directions: Using the digits 1 to 9 at most one time each, place a digit in each box to create a a system of equations with infinitely many solutions. Source: Mike

## Systems of Equations 4

Directions: Using the integers −9 to 9 at most one time each, place an integer in each box to create a system of equations whose solution is as close to the origin as possible. Source: Robert Kaplinsky

## Systems of Equations 3

Directions: Using the integers −9 to 9 at most one time each, place an integer in each box to create a system of equations and its solution. Source: Robert Kaplinsky

## Create a System of Two Equations

Directions: Using the digits 1 to 30, at most one time each, fill in the boxes to create a system of two linear equations where (3, 2) is the solution to the system. Source: Daniel Luevanos

## 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

## 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

## 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