AASA Grade 8 Functions. Practice it free.

Define, evaluate, and compare functions, and use functions to model relationships between quantities. 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

Standards basis

Arizona 2016 Mathematics Standards — Arizona

How the AASA reports it

AASA is Arizona’s statewide achievement test for Grades 3-8, and its math item specifications are aligned to Arizona’s 2016 Mathematics Standards rather than a national framework like SBAC or SAT. The public AASA page does not show a fixed common-core-style domain blueprint; instead, the official math coverage is embedded in grade-level item specifications and scoring guides.

Blueprint & weighting

AASA uses the Independent / state-specific framework (by grade domains structure).

Official sources

Arizona Department of Education AASA
Arizona Department of Education Mathematics Standards

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?