Directions: Using whole numbers 1 through 9 at most once, create an equation such that the solution is closest to zero. Source: Daniel Luevanos

Read More »# Reasoning with Equations and Inequalities

## Absolute Value Equation

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

Read More »## 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 »## Create an Inequality, Given a Solution Set

Directions: Write an inequality whose solution set is x < -1/2 by filling in the boxes with whole numbers 0 through 9, using each number at most once. Source: Daniel Luevanos

Read More »## 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

Read More »## Create an Equation with a Given Solution

Directions: Write three equations whose solution is -1/2 by filling in the boxes with whole numbers 0 through 9, using each number at most once for each equation. Source: Daniel Luevanos

Read More »## Systems of Equations – One Solution

Directions: Using the integers from -9 to 9 only 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 whole numbers 1 through 9 only 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 »## Factoring Quadratics 2 – Fraction Solution

Directions: Fill in the empty boxes with whole numbers 0 through 9, using each number at most once, so that at least one of the solutions is a fraction. Source: Daniel Luevanos

Read More »