High School: Algebra

Directions: Place an integer in the blank to find the largest and smallest value that will make the quadratic expression factorable. Source: Robert Kaplinsky

Directions: Fill in the boxes with any numbers that make the equation true. Source: Dane Ehlert

Directions: Determine values to place in the missing spots to solve the equation below. You may use integer values: Source: Sandra Crawford

Directions: Create an absolute value equation such that x = – 2 is an extraneous solution. Source: Daniel Luevanos

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

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

Directions: Using the digits 0 to 9 at most one time each, fill in the boxes to create an inequality whose solution set is x < -1/2. Source: Daniel Luevanos

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

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

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