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 44 practice skills and 8 representative questions from the playable bank.

NC Math 1N,A44 mapped skills
What the test measures

Number and Quantity and Algebra skills

  1. Rewrite algebraic expressions with integer and rational exponents using the properties of exponents (NC.M1.N-RN.2)

  2. Interpret the structure of and create equivalent linear, quadratic, and exponential expressions (NC.M1.A-SSE.1, NC.M1.A-SSE.3)

  3. Build and add, subtract, and multiply polynomial expressions (NC.M1.A-APR.1)

  4. 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)

  5. Understand solving equations as a reasoning process and solve linear equations and inequalities (NC.M1.A-REI.1, NC.M1.A-REI.3)

  6. Solve quadratic equations in one variable (NC.M1.A-REI.4)

  7. Solve systems of linear equations exactly and approximately (NC.M1.A-REI.5, NC.M1.A-REI.6)

  8. Represent and interpret solutions of equations and inequalities graphically (NC.M1.A-REI.10, NC.M1.A-REI.11, NC.M1.A-REI.12)

Standards basis

North Carolina Standard Course of Study (NCSCOS) — North Carolina

How the NC EOG/EOC reports it

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).

Blueprint & weighting

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%.

Practice by skill

Topics mapped to this domain

Factoring quadratic expressions (ACT)

Grade 910 questions

Quadratic expression values from equations

Grade 910 questions

Standard form to vertex form (ACT/SAT)

Grade 915 questions

Linear inequality system solutions

Grade 910 questions

Discriminant analysis

Grade 915 questions

The discriminant and quadratic formula

Grade 920 questions

Monomial expression multiplication (SAT)

Grade 920 questions

Polynomial combining like terms (ACT/SAT)

Grade 910 questions

Polynomial expression multiplication (SAT)

Grade 910 questions

Quadratic distinct real solutions count

Grade 910 questions

Solving quadratics (leading coefficient not 1)

Grade 910 questions

Square and cube binomials

Grade 910 questions
Try it now

8 free questions · 0/0 correct

Practice playeasy

Which is a factored form of x2−8x+15x^2 - 8x + 15?

Find two numbers with product 1515 and sum −8-8: −3-3 and −5-5. So x2−8x+15=(x−3)(x−5)x^2 - 8x + 15 = (x-3)(x-5).

Practice playmedium

If 3x2−12x=93x^{2} - 12x = 9, what is the value of x2−4x?x^{2} - 4x\textsf{?}

Divide both sides by 33: x2−4x=3x^{2} - 4x = 3.

Practice playeasy

Use completing the square to rewrite the equation in vertex form.

y=−x2+6x−5y = -x^{2} + 6x - 5

Select the vertex form of the equation.

Factor out −1-1 from the xx terms, then complete the square: y=−(x2−6x+9−9)−5=−((x−3)2−9)−5=−(x−3)2+4.y = -(x^{2} - 6x + 9 - 9) - 5 = -((x - 3)^{2} - 9) - 5 = -(x - 3)^{2} + 4\textsf{.} The constant 44 is the maximum value of y.y\textsf{.}

Practice playmedium

{x−2y<−3x+y>6\begin{cases} x - 2y < -3 \\ x + y > 6 \end{cases}
The point (x,y)(x, y) is a solution to the system of inequalities in the coordinate plane. If y=5y = 5, which of the following could be a value of xx?

Substitute y=5y = 5. From x−2y<−3x - 2y < -3, x−10<−3x - 10 < -3, so x<7x < 7. From x+y>6x + y > 6, x+5>6x + 5 > 6, so x>1x > 1. The value x=4x = 4 satisfies 1<4<71 < 4 < 7.

Practice playeasy

How many distinct real roots does x2−10x+25=0x^{2} - 10x + 25 = 0 have?

Here a=1a = 1, b=−10b = -10, and c=25c = 25. Substituting into b2−4acb^{2} - 4ac gives (−10)2−4(1)(25)=0,(-10)^{2} - 4(1)(25) = 0\textsf{,} so there is exactly 11 distinct real root.

Practice playeasy

What is the discriminant of 2x2−7x+3=02x^{2} - 7x + 3 = 0?

Here a=2a = 2, b=−7b = -7, and c=3c = 3. Substituting into b2−4acb^{2} - 4ac gives (−7)2−4(2)(3)=49−24=25(-7)^{2} - 4(2)(3) = 49 - 24 = 25.

Practice playeasy

Which expression is equivalent to (4ab)(2a)?(4ab)(2a)\textsf{?}

Multiply the coefficients: 4⋅2=8.4 \cdot 2 = 8\textsf{.} Add the exponents on aa: a1+1=a2.a^{1+1} = a^{2}\textsf{.} The factor bb appears once, so the product is 8a2b.8a^{2}b\textsf{.}

Practice playeasy

Simplify: (x2+4x−5)+(2x2−4x+9).(x^2 + 4x - 5) + (2x^2 - 4x + 9)\textsf{.}

Combine x2x^2 terms: x2+2x2=3x2.x^2 + 2x^2 = 3x^2\textsf{.} The xx terms cancel: 4x−4x=0.4x - 4x = 0\textsf{.} Combine constants: −5+9=4.-5 + 9 = 4\textsf{.} Result: 3x2+4.3x^2 + 4\textsf{.}

Keep practicing

Turn number and quantity and algebra into game time.

The NC EOG/EOC placement starts with this test's real coverage map and finds the right difficulty.

Batting Cage game coverBatting CagePlay →Blossom Leap game coverBlossom LeapPlay →Buzzer Beater game coverBuzzer BeaterPlay →Minecart Junction game coverMinecart JunctionPlay →
Related Common Core standards
HSA.REI.D.12HSA.REI.B.4HSA.APR.A.1HSA.REI.B.3HSN.RN.A.2HSN.RN.A.1HSA.CED.A.3HSA.CED.A.2
Number and Quantity and Algebra in other NC EOG/EOC grades
NC Math 3
Source and test overview
All NC EOG/EOC prepOfficial test source
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 →