Grade 8

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

Directions: Using the integers -9 to 9 at most one time each, fill in the boxes to create the strongest possible linear association. Source: Robert Kaplinsky

Directions: Using the integers -9 to 9 at most one time each, fill in the boxes to create two sets of six points: one that has a positive association and one that has a negative association. You may reuse all the integers for each equation. Source: Robert Kaplinsky

Directions: Using the digits 1 to 9 at most one time each, place a digit in each box to create an equation with a solution that’s as close to zero as possible. Source: Robert Kaplinsky

Directions: Using the digits 1 to 9 at most one time each, place a digit in each box to create two equations: one where x has a positive value and one where x has a negative value. Source: Robert Kaplinsky

Directions: Using the integers -9 to 9 at most one time each, fill in the boxes to make a linear equation which goes through (5, 4) and has a slope that’s as close to 0 as possible without being horizontal. Source: Robert Kaplinsky

Directions: Using the integers -9 to 9 at most one time each, fill in the boxes to make two linear equations which go through (5, 4): one with a negative slope and one with a positive slope. You may reuse all the integers for each equation. Source: Robert Kaplinsky

Directions: Using the integers -9 to 9 at most one time each, fill in the boxes to make a product that is as close to zero as possible without being exactly zero. Source: Robert Kaplinsky

Directions: Using the integers -9 to 9 at most one time each, fill in the boxes twice to make a positive product and a negative product. You may reuse all the integers each product. Source: Robert Kaplinsky

Directions: Using the digits 0 to 9 at most one time each, fill in the boxes twice to make the greatest possible irrational number. Source: Robert Kaplinsky