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 »# Reasoning with Equations and Inequalities

## 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 »## Solving Equations with Variables on Both Sides

Directions: Use the digits 1 to 9, at most TWO times each, to fill in the boxes to make an equation with no solutions. Source: Robert Kaplinsky

Read More »## System of Inequalities 2

Directions: Fill each blank with a different integer such that the point (4,4) is in the region created by the constraints has the least amount of area. Source: Erick Lee

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 »## Create an Equation with a Solution Closest to Zero

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 »## 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

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