---
title: "6.PAR.7: One-Step Equations and Inequalities (Georgia Mathematics standard)"
code: 6.PAR.7
cite_as: Georgia Standards of Excellence, Mathematics, 6.PAR.7
subject: math
grades:
  - grade-6
language: en
canonical_url: https://georgiahomeroom.org/standards/code/6.PAR.7
md_url: https://georgiahomeroom.org/standards/code/6.PAR.7.md
alternate_language_url: https://georgiahomeroom.org/es/standards/code/6.PAR.7.md
source_url: https://case.georgiastandards.org/ims/case/v1p1/CFDocuments/e9dd7229-3558-4df2-85c6-57b8938f6180
source_last_changed: 2024-10-09
data_built: 2026-09-18
publisher: Georgia Homeroom, a free public-interest project of Georgia Civic Data. Not affiliated with or endorsed by the Georgia Department of Education or any school district.
up: https://georgiahomeroom.org/standards/math/grade-6.md
index: https://georgiahomeroom.org/standards/index.md
---

# 6.PAR.7: One-Step Equations and Inequalities

Write and solve one-step equations and inequalities as mathematical models to explain authentic, realistic situations.

- Subject: Mathematics
- Appears in: Grade 6, https://georgiahomeroom.org/standards/math/grade-6.md

## Expectations

- **6.PAR.7.1**: Solve one-step equations and inequalities involving variables when values for the variables are given. Determine whether an equation and inequality involving a variable is true or false for a given value of the variable.
- **6.PAR.7.2**: Write one-step equations and inequalities to represent and solve problems; explain that a variable can represent an unknown number or any number in a specified set.
- **6.PAR.7.3**: Solve problems by writing and solving equations of the form x + p = q, px = q and $\frac{x}{p}$ = q for cases in which p, q and x are all nonnegative rational numbers.
- **6.PAR.7.4**: Recognize and generate inequalities of the form x > c, x ≥ c, x ≤ c, or x < c to explain situations that have infinitely many solutions; represent solutions of such inequalities on a number line.

## Georgia Milestones coverage

- Mathematics Grade 6 (EOG). Patterning & Algebraic Reasoning. Write and solve one-step equations and inequalities as mathematical models to explain authentic, realistic situations. (about 12% of the test; 7 points)

## What mastery looks like

Georgia's Achievement Level Descriptors. The levels are cumulative: each includes the ones before it. Proficient is on grade level.

- **Beginning**: Use substitution to determine whether a given value for a variable is a solution to an equation.
- **Developing**: Use substitution to determine whether a given value for a variable is a solution to an inequality. Write a one-step, one-variable equation to represent a realistic problem. Solve mathematical problems of the form x ± p = q, px = q, and x/p = q. Match an inequality of the form x > c, x ≥ c, x < c, or x ≤ c to a solution graphed on a number line.
- **Proficient**: Write a one-step, one-variable inequality to represent a realistic problem. Solve real-life problems that can be modeled by equations of the form x ± p = q, px = q, and x/p = q. Describe the solution to a realistic problem that can be modeled by an inequality in the form x > c, x ≥ c, x < c, or x ≤ c in the context of the problem.
- **Distinguished**: Create and solve one-step equations and inequalities and describe the solutions in the context of the problems.

Source: Georgia Standards of Excellence, published by the Georgia Department of Education at case.georgiastandards.org.