Formula Sheet: Algebra Play

Here, x is the original number, and y is the result after adding 2. This represents a simple algebraic operation.

In this, 2x indicates doubling the original number x, followed by adding 4 to it. Useful for understanding basic manipulation.

This formula calculates the average of two numbers x and y, resulting in z. Helpful for mean calculations.

Here, y is a derived number based on month M. This relationship helps in number puzzles involving dates.

This equation connects two unknowns a and b in a number pyramid puzzle where the top number is formed by their sum.

This represents that the number a is derived by adding 12 to another unknown c in a pyramid context.

b is determined by adding 8 to another number c. This shows relationships in the structure of a number pyramid.

This equation helps to find the original number a in a grid trick situation based on the sum of its terms.

Derived from the previous equation, it isolates x, allowing students to understand the concept of solving for variables.

This formula relates energy E to mass m and the speed of light c squared, illustrating the conversion of mass to energy.

This demonstrates that regardless of the starting number x, the algebraic manipulation leads to the result 2.

This derives the date M and day D from a formula that records additions and manipulations based on date puzzles.

From the grid puzzle, this equation shows how to calculate the original number x based on the total provided.

This equation connects M, the month, to z, illustrating how to derive results from a simple manipulation.

An equation relating the month M and day D that leads to a derived total, useful in the context of date puzzles.

This represents a simplification step in solving for c in the structure of the number pyramid.

This is the conclusion derived from the previous equation, showing how to find a variable in a pyramid context.

This expresses the relationship derived from solving the date puzzle, isolating month M and day D.

It expresses a relationship in number puzzles, where the relationship showcases the total from two variables.

This expression shows a generic formula for calculating products when three different digits are chosen.