NJSLA Grade 8 Functions Practice — Sports Academy Games

What the test measures

Functions skills

8.F.A.1 Understand that a function is a rule that assigns to each input exactly one output
8.F.A.2 Compare properties of two functions each represented in a different way
8.F.A.3 Interpret the equation y = mx + b as defining a linear function whose graph is a straight line
8.F.B.4 Construct a function to model a linear relationship between two quantities
8.F.B.5 Describe qualitatively the functional relationship between two quantities by analyzing a graph

Standards basis

New Jersey Student Learning Standards for Mathematics (NJSLS-M), aligned to Common Core State Standards for Mathematics (CCSS-M) — New Jersey

How the NJSLA reports it

NJSLA math is built on the New Jersey Student Learning Standards for Mathematics, which closely follow the Common Core domain structure and progressions. The assessment is organized by grade-level and end-of-course reporting aligned to those standards rather than by a separate proprietary framework.

Blueprint & weighting

NJDOE publishes statewide assessment administration information and grade/course coverage, but no official public math-domain weighting blueprint was located in the retrieved primary materials.

Official sources

New Jersey Department of Education - Assessment
New Jersey Department of Education - 2023 NJSLS-Mathematics
NJDOE - Statewide Assessment Testing Schedule 2026-27

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 $y = \dfrac{1}{2}x - 2$ ?

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

Practice playmedium

Here $c$ is a constant in the rule $w(x) = cx - 15$ . Because $w(4) = 5$ , what must $w(9)$ be?

Substitute $x = 4$ : $4c - 15 = 5$ , so $4c = 20$ and $c = 5$ . The rule is $w(x) = 5x - 15$ , so $w(9) = 5(9) - 15 = 45 - 15 = 30$ .

Practice playeasy

A phone plan costs $\text{\char36}25$ per month plus $\text{\char36}0.08$ for each text message. Let $x$ be the number of texts and $y$ be the monthly bill in dollars. Which equation models the situation?

The monthly base cost is $\text{\char36}25$ (intercept) and each text adds $\text{\char36}0.08$ (slope), so $y = 0.08x + 25\textsf{.}$

Practice playeasy

What is the slope of the line through $(2, 7)$ and $(5, 7)$ ?

Slope $= \dfrac{7 - 7}{5 - 2} = \dfrac{0}{3} = 0\textsf{.}$

Practice playeasy

What is the $y$ -intercept of the line $y = \dfrac{3}{4}x - 7$ ?

In $y = mx + b$ , the $y$ -intercept is $b = -7$ .

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?