NH SAS Grade 8 Functions. Practice it free.

Defines, evaluates, and compares functions and their representations. This Grade 8 reporting domain maps to 4 practice skills and 8 representative questions from the playable bank.

Grade 84 mapped skills

What the test measures

Functions skills

Define, evaluate, and compare functions
Use functions to model relationships between quantities
Interpret functions given in different representations
Construct a function to model a linear relationship between two quantities

Standards basis

Common Core State Standards for Mathematics (CCSS-M) / New Hampshire mathematics standards — New Hampshire

How the NH SAS reports it

New Hampshire SAS is the state assessment system, but the official math reporting structure was not accessible from the state page in this session. In practice, New Hampshire’s math assessments are aligned to the state’s K-12 mathematics standards, which closely mirror Common Core grade-level domains and clusters.

Blueprint & weighting

Not published in the accessible source set used here.

Official sources

New Hampshire Department of Education – Assessments
Common Core State Standards for Mathematics
CCSS-M Grade 3 (Oregon ODE reprint)

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?