North Carolina Standard Course of Study (NCSCOS) — North Carolina
NC EOG/EOC NC Math 1 Number and Quantity and Algebra. Practice it free.
EOC NC Math 1 domain (36-40% of the test, Table 1). Rewrite expressions with radicals and rational exponents (N-RN.2); interpret and create expressions, equations, and inequalities (A-SSE, A-CED); add, subtract, and multiply polynomials (A-APR.1); and understand and solve equations and inequalities, including systems (A-REI). This NC Math 1 reporting domain maps to 42 practice skills and 8 representative questions from the playable bank.
What the test measuresStandards basis How the NC EOG/EOC reports it Blueprint & weighting Official sources
Number and Quantity and Algebra skills
Rewrite algebraic expressions with integer and rational exponents using the properties of exponents (NC.M1.N-RN.2)
Interpret the structure of and create equivalent linear, quadratic, and exponential expressions (NC.M1.A-SSE.1, NC.M1.A-SSE.3)
Build and add, subtract, and multiply polynomial expressions (NC.M1.A-APR.1)
Create equations and inequalities in one and two variables and use them to solve and model problems (NC.M1.A-CED.1, NC.M1.A-CED.2, NC.M1.A-CED.3, NC.M1.A-CED.4)
Understand solving equations as a reasoning process and solve linear equations and inequalities (NC.M1.A-REI.1, NC.M1.A-REI.3)
Solve quadratic equations in one variable (NC.M1.A-REI.4)
Solve systems of linear equations exactly and approximately (NC.M1.A-REI.5, NC.M1.A-REI.6)
Represent and interpret solutions of equations and inequalities graphically (NC.M1.A-REI.10, NC.M1.A-REI.11, NC.M1.A-REI.12)
North Carolina’s math assessments are state-developed EOG/EOC tests aligned to the North Carolina Standard Course of Study (NCSCOS) for Mathematics, adopted June 2016, rather than a shared multistate framework. The EOG Grades 3-8 Mathematics Test Specifications and the EOC NC Math 1 and NC Math 3 Test Specifications publish, in Table 1/Table 2, the range of total items by domain (the official domain weight distributions). The NCSCOS K-8 domains carry CCSS domain codes (NC.3.OA, NC.8.F, …) and are CCSS-derived; NC Math 1 and NC Math 3 are integrated high-school EOC courses whose standards carry NC.M1/NC.M3 conceptual-category codes (Number and Quantity, Algebra, Functions, Geometry, Statistics and Probability).
Published per-domain weight ranges come from the NC DPI EOG/EOC Mathematics Test Specifications (April 2026), Table 1/Table 2 (range of total items by domain). EOG grades 3-5 (Table 1): Operations and Algebraic Thinking 32-36% (g3) / 14-18% (g4) / 9-13% (g5); Number and Operations in Base Ten 9-13% / 25-29% / 25-29%; Number and Operations – Fractions 28-32% / 30-34% / 39-43%; Measurement and Data, Geometry 23-27% / 23-27% / 19-23%. EOG grades 6-8 (Table 2): Ratios and Proportional Relationships 24-28% (g6) / 24-28% (g7) / — (g8); The Number System 20-24% / 8-12% / —; Expressions and Equations 22-26% / 20-24% / —; The Number System, Expressions and Equations (combined) — / — / 24-28%; Functions — / — / 28-32%; Geometry 12-16% / 16-20% / 24-28%; Statistics and Probability 12-16% / 22-26% / 16-20%. EOC (Table 1): NC Math 1 — Number and Quantity and Algebra 36-40%, Functions 32-36%, Geometry 8-12%, Statistics and Probability 18-20%; NC Math 3 — Number and Quantity and Algebra 32-36%, Functions 32-36%, Geometry 20-24%, Statistics and Probability 8-12%.
NC DPI End-of-Grade (EOG)
NC DPI 2025-26 EOC Assessment Brief
NC DPI EOG Mathematics Grades 3-8 Test Specifications (April 2026)
Practice by skill
Topics mapped to this domain
Factoring quadratic expressions (ACT)
Quadratic expression values from equations
Linear inequality system solutions
Discriminant analysis
The discriminant and quadratic formula
Monomial expression multiplication (SAT)
Polynomial combining like terms (ACT/SAT)
Polynomial expression multiplication (SAT)
Quadratic distinct real solutions count
Solving quadratics (leading coefficient not 1)
Square and cube binomials
Absolute value equation solutions
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8 free questions · 0/0 correct
Which is a factored form of ?
Find two numbers with product and sum : and . So .
If , what is the value of
Divide both sides by : .
The point is a solution to the system of inequalities in the coordinate plane. If , which of the following could be a value of ?
Substitute . From , , so . From , , so . The value satisfies .
How many distinct real roots does have?
Here , , and . Substituting into gives so there is exactly distinct real root.
What is the discriminant of ?
Here , , and . Substituting into gives .
Which expression is equivalent to
Multiply the coefficients: Add the exponents on : The factor appears once, so the product is
Simplify:
Combine terms: The terms cancel: Combine constants: Result:
Which expression is equivalent to ?
Expand: . Then add : .
Keep practicing
Turn number and quantity and algebra into game time.
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Related Common Core standards
Number and Quantity and Algebra in other NC EOG/EOC grades
Source and test overview
Reporting categories
More NC Math 1 domains
FunctionsEOC NC Math 1 domain (32-36% of the test, Table 1). Understand the concept of a function and use function notation (F-IF.1, F-IF.2); build, interpret, and analyze linear, quadratic, and exponential functions (F-IF, F-BF); and construct and compare linear and exponential models (F-LE).8 QsPractice →GeometryEOC NC Math 1 domain (8-12% of the test, Table 1). Use coordinates to prove simple geometric theorems algebraically and to solve problems involving slope, parallel and perpendicular lines, distance, and partitioning of segments (G-GPE).8 QsPractice →Statistics and ProbabilityEOC NC Math 1 domain (18-20% of the test, Table 1). Summarize, represent, and interpret data on a single count or measurement variable and on two categorical and quantitative variables, and interpret linear models (S-ID).8 QsPractice →