NDSA Grade 8 Functions Practice — Sports Academy Games

What the test measures

Functions skills

Define, evaluate, and compare functions.
Use functions to model relationships between quantities.
Interpret the rate of change and initial value of a function from its graph or table.

Standards basis

North Dakota State Content Standards for Mathematics — North Dakota

How the NDSA reports it

North Dakota administered its own state assessment program (the NDSA, a Cambium computer-adaptive test in grades 3-8 and 10; replaced by ND A+ beginning spring 2025). An official NDSA mathematics public-facing CAT blueprint (Cambium/NDDPI, Oct 2020) does exist and lists per-grade reporting categories with percentage ranges, but its full per-grade table could not be retrieved character-for-character from a citable primary source for transcription here (the Cambium content CDN blocks programmatic access). The NDSA reporting categories are the CCSS-M grade-level domains: the assessment was built on North Dakota's 2017 math standards, which are verbatim CCSS-M organized by grade-level domains. The coverage map below uses North Dakota's 2023-standards-style domain/standard codes (e.g. 3.AR.OA) but the skill content is CCSS-M.

Blueprint & weighting

An official NDSA mathematics CAT blueprint (Cambium/NDDPI public-facing CAT version, Oct 2020) publishes per-grade reporting-category percentage ranges (e.g. grade 3 Operations and Algebraic Thinking ~31-34%, Number and Operations in Base Ten ~22-24%; grade 6 groups Ratios & Proportional Relationships and The Number System ~28-34% and Expressions and Equations ~25-29%). The complete per-grade table could not be retrieved verbatim from a citable primary source (the Cambium content CDN returns HTTP 403 to programmatic fetches), so domain weights in the mapping are left null rather than transcribing partial/uncertain figures or splitting blueprint percentages across the grade-6+ domain groupings.

Official sources

North Dakota DPI – State Assessment page
North Dakota DPI – Home
North Dakota Department of Agriculture – Ag Mag teacher guide with ND math standards references

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playeasy

What is the slope of the line $y = x - 7$ ?

In $y = mx + b$ , the slope is $m = 1$ .

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?

With no starting fee, the cost is only the hourly rate times hours: $y = 18x\textsf{.}$

Practice playeasy

What is the slope of the line through $(1, 5)$ and $(6, 3)$ ?

Slope $= \dfrac{3 - 5}{6 - 1} = \dfrac{-2}{5} = -\dfrac{2}{5}\textsf{.}$

Practice playeasy

What is the $y$ -intercept of the line $y = \dfrac{1}{2}x - 4$ ?

In $y = mx + b$ , the $y$ -intercept is $b = -4$ .

Practice playhard

Suppose $z(x) = -2x + b$ , where $b$ is a constant. If $z(8) = 3$ , what is the value of $z(1)\textsf{?}$

Substitute $x = 8$ : $-2(8) + b = 3$ , so $-16 + b = 3$ and $b = 19$ . The rule is $z(x) = -2x + 19$ , so $z(1) = -2(1) + 19 = -2 + 19 = 17$ .

Practice playeasy

A tutor charges $\text{\char36}35$ per session and no registration fee. Let $x$ be the number of sessions and $y$ be the total cost in dollars. Which equation models the situation?