Home > High School: Algebra > Reasoning with Equations and Inequalities (page 2)

Reasoning with Equations and Inequalities

Create an Inequality, Given a Solution Set

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

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

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

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

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

Factoring Quadratics 2 – Fraction Solution

Directions: Using the digits 0 to 9 at most one time each, fill in the boxes to so that at least one of the solutions is a fraction. Source: Daniel Luevanos

Directions: Using the digits 0 to 9 at most one time each, fill in the boxes to so that at least one of the solutions is a fraction. Source: Daniel Luevanos

Factoring Quadratics 2 – Integer Solutions

Directions: Using the digits 0 to 9 at most one time each, fill in the boxes to so that the solutions are integers. Note that you can use a 05 to make a 5. Source: Daniel Luevanos