---
title: "7.PAR.3: Equations and Inequalities (Georgia Mathematics standard)"
code: 7.PAR.3
cite_as: Georgia Standards of Excellence, Mathematics, 7.PAR.3
subject: math
grades:
  - grade-7
language: en
canonical_url: https://georgiahomeroom.org/standards/code/7.PAR.3
md_url: https://georgiahomeroom.org/standards/code/7.PAR.3.md
alternate_language_url: https://georgiahomeroom.org/es/standards/code/7.PAR.3.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-7.md
index: https://georgiahomeroom.org/standards/index.md
---

# 7.PAR.3: Equations and Inequalities

Represent authentic situations using equations and inequalities with variables; solve equations and inequalities symbolically, using the properties of equality.

- Subject: Mathematics
- Appears in: Grade 7, https://georgiahomeroom.org/standards/math/grade-7.md

## Expectations

- **7.PAR.3.1**: Construct algebraic equations to solve practical problems leading to equations of the form $px + q = r$ and $p(x + q) = r$, where $p$, $q$, and $r$ are specific rational numbers. Interpret the solution based on the situation.
- **7.PAR.3.2**: Construct algebraic inequalities to solve problems, leading to inequalities of the form $px ± q \gt r$, $px ± q \lt r$, $px ± q \le r$, or $px ± q \ge r$, where $p$, $q$, and $r$ are specific rational numbers. Graph and interpret the solution based on the realistic situation that the inequalities represent.

## Georgia Milestones coverage

- Mathematics Grade 7 (EOG). Patterning & Algebraic Reasoning. Represent authentic situations using equations and inequalities with variables; solve equations and inequalities symbolically, using the properties of equality. (about 21% of the test; 12 points; shared with other standards, so count these points once and never add them up per standard)

## 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**: Solve problems of the form px + q = r and p(x + q) = r. Solve problems of the form px ± q > r, px ± q < r, px ± q ≤ r, and px ± q ≥ r.
- **Developing**: Solve practical problems of the form px + q = r and p(x + q) = r and interpret the solutions based on the situations. Solve problems of the form px ± q > r, px ± q < r, px ± q ≤ r, and px ± q ≥ r and interpret the solutions based on realistic situations.
- **Proficient**: Create and solve algebraic equations and inequalities to represent realistic problems. Graph algebraic inequalities on a number line and interpret the solutions based on realistic situations.
- **Distinguished**: Create linear equations and inequalities to solve complex, realistic problems, and graph and/or interpret the solutions.

## The same standard across grades

- Grade 1, 1.PAR.3: Identify, describe, extend, and create repeating patterns, growing patterns, and shrinking patterns found in real-life situations. https://georgiahomeroom.org/standards/code/1.PAR.3.md
- Grade 3, 3.PAR.3: Use part-whole strategies to solve real-life, mathematical problems involving multiplication and division with whole numbers within 100. https://georgiahomeroom.org/standards/code/3.PAR.3.md
- Grade 4, 4.PAR.3: Generate and analyze patterns, including those involving shapes, input/output diagrams, factors, multiples, prime numbers, and composite numbers. https://georgiahomeroom.org/standards/code/4.PAR.3.md
- **Grade 7, 7.PAR.3 (this standard)**: Represent authentic situations using equations and inequalities with variables; solve equations and inequalities symbolically, using the properties of equality.
- Grade 8, 8.PAR.3: Create and interpret expressions within relevant situations. Create, interpret, and solve linear equations and linear inequalities in one variable to model and explain real phenomena. https://georgiahomeroom.org/standards/code/8.PAR.3.md

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