AK STAR Grade 9 Functions Practice — Sports Academy Games

Functions skills

F-IF.1–F-IF.9

F-BF.1–F-BF.4

F-LE.1–F-LE.3, F-LE.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

8 free questions · 0/0 correct

Practice playmedium

The first five terms of an arithmetic sequence are $8, 14, 20, 26, 32$ . What is the $18$ th term?

The common difference is $d = 6$ . With $a_1 = 8$ , the $18$ th term is $a_{18} = 8 + 17(6) = 110$ .

Practice playeasy

The function $f$ is defined by $f(x) = 7x - 4$ . What is the value of $f(x)$ when $x = 3$ ?

Substitute $x = 3$ : $f(3) = 7(3) - 4 = 21 - 4 = 17$ .

Practice playeasy

The function $f$ is defined by $f(x) = \sqrt{2x + 1}$ . What is the value of $f(x)$ when $x = 4$ ?

Substitute $x = 4$ : $f(4) = \sqrt{2(4) + 1} = \sqrt{9} = 3$ .

Practice playeasy

For the function $p$ , $p(0) = 200$ . For each increase in $x$ by $1$ , the value of $p(x)$ decreases by $10\%$ . What is the value of $p(2)$ ?

Each step multiplies by $0.90$ . So $p(2) = 200 \cdot 0.90^2 = 200 \cdot 0.81 = 162$ .

Practice playeasy

$g = 9 - \dfrac{m}{4}$

The equation shown gives the estimated amount of paint $g\textsf{,}$ in gallons, remaining after covering $m$ square meters of wall, where $0 \le m \le 36\textsf{.}$ What is the estimated amount of paint, in gallons, remaining after covering $12$ square meters of wall?

Substitute $m = 12\textsf{:}$ $g = 9 - \dfrac{12}{4} = 9 - 3 = 6\textsf{.}$ The estimated amount remaining is $6$ gallons.

Practice playeasy

What is the value of $\log_{4}16\textsf{?}$

$4^{2} = 16\textsf{,}$ so $\log_{4}16 = 2\textsf{.}$

Practice playmedium

A charity drive starts with $80$ donors. Each day after the first day, a model estimates that the number of donors increases by $25\%$ of the number of donors the previous day. Which equation defines this model, where $d(n)$ is the estimated number of donors $n$ days after the drive begins?

The starting number is $80$ , and a $25\%$ daily increase means multiplying by $1.25$ each day, so $d(n) = 80(1.25)^n$ .

Practice playeasy

A $32$ -milligram sample of a radioactive isotope has a half-life of $1$ year.

Choose the function model that correctly calculates the amount remaining after $4$ years.

The remaining amount after $t$ years is $A(t) = 32\left(\dfrac{1}{2}\right)^{\textstyle\frac{t}{h}}\textsf{,}$ where $h$ is the half-life. Here $t = 4$ and $h = 1\textsf{,}$ so $A(4) = 32\left(\dfrac{1}{2}\right)^{\textstyle\frac{4}{1}} = 32\left(\dfrac{1}{2}\right)^{4} = 2\textsf{.}$

AK STAR Grade 9 Functions. Practice it free.

Functions skills

F-IF.1–F-IF.9

F-BF.1–F-BF.4

F-LE.1–F-LE.3, F-LE.5

Topics mapped to this domain

Arithmetic sequence nth term

Evaluating functions

Evaluating functions at a value

Evaluating functions from percent change

Evaluating functions in context

Evaluating logarithms (ACT)

Writing exponential equations from context (SAT)

Exponential functions

Exponential functions in context (SAT)

Exponential and log formulas

Factored polynomial x-intercepts (SAT)

Finding inverse functions (ACT)

8 free questions · 0/0 correct

Turn functions into game time.

More Grade 9 domains