Algebraic Reasoning: Determining Solutions [TEKS Tools Grade 8]

This post specifically looks at how algebraic reasoning can be used to solve two-step equations and inequalities. Read more about TEKS Tools and their rationale here.

Algebraic Reasoning

Algebraic reasoning accounts for around 27% of each 8th grade STAAR test. This thinking does not use a visible tool but instead relies on applying algebraic concepts to expressions, equations, and inequalities.

The main function of algebraic reasoning is to identify algebraic relationships in problem situations, perform rigid transformations and dilations, identify similar figures, and solve equations and inequalities.

Determining Solutions

Algebraic reasoning can be used to model and solve one-variable equations.

8.8C - model and solve one-variable equations with variables on both sides of the equal sign that represent mathematical and real-world problems using rational number coefficients and constants

2023-10: an algebra tiles model was given, students had to solve for x

2023-36: a problem situation was given, students had to set up an equation with the variable on both sides of the equal sign and solve

2024-18: an algebra tiles model was given, students had to solve for x

2024-38: an equation with the variable on both sides of the equal sign was given, students had to solve

2025-10: an equation with the variable on both sides of the equal sign was given, students had to apply the distributive property and solve

2025-22: a problem situation was given, students had to set up an equation with the variable on both sides of the equal sign and solve