AK STAR Grades 6-8 Functions Practice

What the test measures

Functions skills

8.F.1–8.F.5

Standards basis

Alaska Mathematics Standards — Alaska

How the AK STAR reports it

AK STAR is Alaska’s state summative assessment, built around Alaska’s own mathematics standards rather than a national consortium framework. Its math blueprint is organized into grade-level content strands/instructional areas and an adaptive growth component aligned to MAP Growth instructional areas.

Blueprint & weighting

The blueprint gives target item counts and point ranges by grade and strand, rather than fixed percentage weights. Grades 3-5 and 6-9 each include summative item counts plus additional growth items; grade 9 has no summative Geometry strand, with Geometry reported only through growth items.

Official sources

Alaska Department of Education and Early Development
Alaska Department of Education and Early Development
Alaska Department of Education and Early Development

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 $y = \dfrac{3}{4}x - 7$ ?

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

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?

Each session costs $\text{\char36}35$ with no upfront charge, so $y = 35x\textsf{.}$

Practice playeasy

What is the slope of the line through $(3, -2)$ and $(5, 8)$ ?

Slope $= \dfrac{8 - (-2)}{5 - 3} = \dfrac{10}{2} = 5\textsf{.}$

Practice playeasy

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

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

Practice playmedium

In the rule $g(x) = 8x + c$ , the value of $c$ is a constant. Given that $g(3) = 10$ , find $g(5)$ .

Substitute $x = 3$ : $8(3) + c = 10$ , so $24 + c = 10$ and $c = -14$ . The rule is $g(x) = 8x - 14$ , so $g(5) = 8(5) - 14 = 40 - 14 = 26$ .

Practice playeasy

A print shop already has $64$ posters ready for an event and prints an average of $3.5$ more posters each hour. Let $x$ be the number of hours of printing and $y$ be the total number of posters ready. Which equation models the situation?