NC EOG/EOC Grade 6 Expressions and Equations. Practice it free.

EOG grade 6 domain (22-26% of the test, Table 2). Apply and extend previous understandings of arithmetic to algebraic expressions, reason about and solve one-variable equations and inequalities, and represent and analyze quantitative relationships between dependent and independent variables. This Grade 6 reporting domain maps to 6 practice skills and 8 representative questions from the playable bank.

Grade 6EE6 mapped skills
What the test measures

Expressions and Equations skills

  1. Apply and extend previous understandings of arithmetic to algebraic expressions

  2. Reason about and solve one-variable equations and inequalities

  3. Represent and analyze quantitative relationships between dependent and independent variables

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

Combining like terms

Grade 610 questions

Combining like terms and distributing

Grade 668 questions

Evaluating powers

Grade 636 questions

Write products as powers

Grade 624 questions

Order of operations

Grade 6119 questions

Perfect squares and cubes

Grade 660 questions
Try it now

8 free questions · 0/0 correct

Practice playeasy

Which expression is equivalent to 2y+6+3y2y + 6 + 3y?

The terms 2y2y and 3y3y are like terms: 2y+3y=5y2y + 3y = 5y. The constant 66 stays the same, so the expression is equivalent to 5y+6.5y + 6\textsf{.}

Practice playeasy

Simplify: 1x+6+2x−81x + 6 + 2x - 8.

Combine xx-terms: 1x+2x=3x1x + 2x = 3x. Combine constants: 6−8=−26 - 8 = -2. Result: 3x−23x - 2.

Practice playeasy

What is 31?3^{1}\textsf{?}

Any base to the first power equals itself: 31=3.3^{1} = 3\textsf{.}

Practice playeasy

Write 7×7×7×77 \times 7 \times 7 \times 7 using an exponent.

The base 77 appears 44 times as a factor, so 7×7×7×7=747 \times 7 \times 7 \times 7 = 7^{4}.

Practice playeasy

Evaluate: 2+3⋅9−52 + 3 \cdot 9 - 5.

Multiply first: 3⋅9=273 \cdot 9 = 27. Then 2+27−5=242 + 27 - 5 = 24.

Practice playeasy

What is 232^3?

 23=2⋅2⋅2=8\,2^3 = 2 \cdot 2 \cdot 2 = 8.

Practice playeasy

Which expression is equivalent to 4x+9+x4x + 9 + x?

The terms 4x4x and xx are like terms: 4x+x=5x4x + x = 5x. The constant 99 stays the same, so the expression is equivalent to 5x+9.5x + 9\textsf{.}

Practice playeasy

Simplify: 2x−7−4x+32x - 7 - 4x + 3.

Combine: 2x+−4x=−2x2x + -4x = -2x, −7+3=−4-7 + 3 = -4. Result: −2x−4-2x - 4.

Keep practicing

Turn expressions and equations into game time.

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

Blaster Gate game coverBlaster GatePlay →Blitz Tanks game coverBlitz TanksPlay →Blossom Leap game coverBlossom LeapPlay →Bullseye Blitz game coverBullseye BlitzPlay →
Related Common Core standards
6.EE.A.1
Expressions and Equations in other NC EOG/EOC grades
Grade 7
The same skills on other tests
i-ReadyAASAACAPATLAS
Source and test overview
All NC EOG/EOC prepOfficial test source
Reporting categories

More Grade 6 domains

Ratios and Proportional RelationshipsEOG grade 6 domain (24-28% of the test, Table 2). Understand ratio concepts and use ratio reasoning to solve problems, including unit rates and percent.8 QsPractice →The Number SystemEOG grade 6 domain (20-24% of the test, Table 2). Apply and extend previous understandings of multiplication and division to divide fractions by fractions, compute fluently with multi-digit numbers and find common factors and multiples, and apply and extend previous understandings of numbers to the system of rational numbers.8 QsPractice →GeometryEOG grade 6 domain (12-16% of the test, Table 2). Solve real-world and mathematical problems involving area, surface area, and volume.8 QsPractice →Statistics and ProbabilityEOG grade 6 domain (12-16% of the test, Table 2). Develop understanding of statistical variability and summarize and describe distributions.8 QsPractice →