Home > High School: Algebra > Reasoning with Equations and Inequalities

Reasoning with Equations and Inequalities

Compound Inequalities 2

Directions: Using the digits 1 to 9, at most one time each, make two compound inequalities that are equivalent to 2 ≤ x < 4. Source: Robert Kaplinsky

Read More »

Compound Inequalities 1

Directions: Using the digits 1 to 9, at most one time each, make a compound inequality that has the largest interval. Source: Robert Kaplinsky

Read More »

Create a System of Two Equations

Directions: Use non-zero whole numbers 1 to 30, at most once time each, to create a system of two linear equations where (3, 2) is the solution to the system. Source: Daniel Luevanos

Read More »

Linear Inequalities in Two Variables

Directions: Create 5 ordered pairs using the whole digits 0 – 9 exactly one time each. Then, create a linear inequality such that: 1. Two of the ordered pairs are solutions to the linear inequality. 2. Two of the ordered pairs are not solutions to the linear inequality. 3. One of the ordered pairs is on the boundary line but …

Read More »

System of Inequalities

Directions: Fill each blank with a different integer such that the point (4,4) is within the solution region created by the constraints. Source: Erick Lee

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 »