OGM.9.ALG
Open Global Math Standards 2026™ · 8th Grade
Expressions, Equations, and Inequalities
Grade8th Grade
SubjectMath
Levelstrand
Child standards (6)
- OGM.9.ALG.1Construct, expand, factorize, simplify, and evaluate algebraic polynomial expressions; apply special product formulas (difference of squares, perfect square trinomials) and common factor extraction.
- OGM.9.ALG.2Simplify, reduce, add, subtract, multiply, and divide rational algebraic expressions (algebraic fractions).
- OGM.9.ALG.3Formulate and solve one-variable linear equations (including variables on both sides, rational coefficients, and fractional equations transformable to linear) and categorize equations with one solution, infinitely many solutions, or no solution.
- OGM.9.ALG.4Solve one-variable linear inequalities and compound inequality systems with rational coefficients algebraically and represent their solution sets on a number line.
- OGM.9.ALG.5Solve systems of simultaneous linear equations in two variables (and elementary 3-variable systems) using substitution, elimination, and graphical intersection methods, and interpret real-world problem contexts.
- OGM.9.ALG.6Solve quadratic equations using factoring, completing the square, and the quadratic formula; use the discriminant to determine the number and nature of real roots, and relate roots to coefficients (Vieta's relations).