NC EOG/EOC Grade 8 Functions Practice

What the test measures

Functions skills

Define, evaluate, and compare functions
Use functions to model relationships between quantities

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%.

Official sources

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

Try it now

8 free questions · 0/0 correct

Practice playeasy

What is the $y$ -intercept of the line $y = \dfrac{3}{4}x - 5$ ?

In $y = mx + b$ , the $y$ -intercept is $b = -5$ .

Practice playmedium

The linear function $h$ is defined by $h(x) = mx + 45$ , where $m$ is a constant. Given that $h(9) = 0$ , evaluate $h(4)$ .

Substitute $x = 9$ : $9m + 45 = 0$ , so $9m = -45$ and $m = -5$ . The rule is $h(x) = -5x + 45$ , so $h(4) = -5(4) + 45 = -20 + 45 = 25$ .

Practice playeasy

A school club starts a fundraiser with $\text{\char36}50$ already collected and earns $\text{\char36}8$ for each cake sold. Let $x$ be the number of cakes sold and $y$ be the total money raised in dollars. Which equation models the situation?

The club begins at $\text{\char36}50$ and gains $\text{\char36}8$ per cake, so $y = 8x + 50\textsf{.}$

Practice playeasy

What is the slope of the line through $(-4, 3)$ and $(2, 3)$ ?

The $y$ -values are equal, so the line is horizontal: slope $= \dfrac{3 - 3}{2 - (-4)} = \dfrac{0}{6} = 0\textsf{.}$

Practice playeasy

What is the slope of the line $y = \dfrac{1}{2}x - 2$ ?

In $y = mx + b$ , the slope is $m = \dfrac{1}{2}$ .

Practice playhard

The rule $r(x) = -4x + d$ describes a linear function, and $d$ is a constant. If $r(3) = 5$ , what is $r(-2)\textsf{?}$

Substitute $x = 3$ : $-4(3) + d = 5$ , so $-12 + d = 5$ and $d = 17$ . The rule is $r(x) = -4x + 17$ , so $r(-2) = -4(-2) + 17 = 8 + 17 = 25$ .

Practice playeasy

A kayak rental shop charges $\text{\char36}18$ per hour with no upfront fee. Let $x$ be the number of hours rented and $y$ be the total cost in dollars. Which equation models the situation?