ISAT Grade 11 Functions Practice — Sports Academy Games

Functions skills

Interpret functions that arise in applications in terms of the context

Build a function that models a relationship between two quantities

Analyze functions using different representations

Construct and compare linear, quadratic, and exponential models

Standards basis

Idaho Content Standards (Mathematics) — Idaho

How the ISAT reports it

Idaho ISAT is a state assessment administered to grades 3–8 and 11 and reported against Idaho grade-level content standards rather than a separate national testing framework. The public ISAT page points to summative blueprints and math specifications, while the Idaho Content Standards page shows the math program is organized by grade-band/domain progressions aligned to Idaho standards.

Blueprint & weighting

The public Idaho ISAT page references summative blueprints and item specifications, but the accessible official page content did not expose a published domain-by-domain percentage blueprint for math.

Official sources

Idaho Department of Education — Idaho Standards Achievement Test (ISAT)
Idaho Department of Education — Idaho Content Standards

8 free questions · 0/0 correct

Practice playmedium

The first five terms of an arithmetic sequence are $25, 22, 19, 16, 13$ . What is the $15$ th term?

The common difference is $d = -3$ . With $a_1 = 25$ , the $15$ th term is $a_{15} = 25 + 14(-3) = -17$ .

Practice playeasy

The function $S$ is defined by $S(t) = 450(0.85)^{t/3}$ . The function $S$ models the height, in centimeters, of a snowpack, where $t$ is the number of days after a winter storm. According to the model, what is the estimated height, in centimeters, of the snowpack $3$ days after the storm?

When $t = 3$ , the exponent is $3/3 = 1$ . So $S(3) = 450(0.85)^1 = 382.5$ centimeters.

Practice playeasy

A substance has a half-life of $1$ years. What fraction remains after $2$ years?

$2 \div 1 = 2$ half-lives. Remaining: $\left(\dfrac{1}{2}\right)^{2} = \dfrac{1}{4}$ .

Practice playeasy

For what value of $x$ does the graph of $f(x) = 6(x + 9)(x - 13)$ meet the $x$ -axis?

Set $f(x) = 0$ : $6(x + 9)(x - 13) = 0$ . The constant $6 \neq 0$ , so the zeros are $x = -9$ and $x = 13$ . Of the choices, $-9$ is an x-coordinate of an x-intercept.

Practice playmedium

The table defines functions for positive integers $x \leq 5$ .
$\begin{array}{c|c|c|c} x & m(x) & n(x) & k(x) \\ \hline 1 & 5 & 2 & 4 \\ 2 & 3 & 4 & 1 \\ 3 & 1 & 3 & 5 \\ 4 & 4 & 5 & 2 \\ 5 & 2 & 1 & 3 \end{array}$
If $m(n(k(x))) = 1$ , what is the value of $x$ ?

Work from the outside in. Since $m(3) = 1$ , we need $n(k(x)) = 3$ . Since $n(3) = 3$ , we need $k(x) = 3$ . From the table, $k(5) = 3$ , so $x = 5$ .

Practice playeasy

The first term of a sequence is $10$ . Each term after the first is $2$ times the preceding term. If $a_n$ represents the $n$ th term, which equation gives $a_n$ in terms of $n$ ?

Following the pattern:
1st term, or $n = 1\textsf{:}$ $10 \cdot 2^{0}$
2nd term, or $n = 2\textsf{:}$ $10 \cdot 2^{1}$
3rd term, or $n = 3\textsf{:}$ $10 \cdot 2^{2}$
4th term, or $n = 4\textsf{:}$ $10 \cdot 2^{3}$
Since each term has an exponent that is $1$ less than the term number, the $n$ th term is $a_n = 10 \cdot 2^{n-1}$ .

Practice playeasy

Tree height, in feet, after $x$ years:
$\begin{array}{c|c} x & f(x) \\ \hline 1 & 20 \\ 2 & 28 \\ 3 & 36 \\ 4 & 44 \end{array}$
The height is $f(x)=mx+12\textsf{.}$ What is $m\textsf{?}$

Slope-intercept form is $f(x) = mx + b\textsf{.}$ The height increases by $8$ feet each year, so $m = 8\textsf{.}$

Practice playeasy

Plant height, in centimeters, after $x$ weeks:
$\begin{array}{c|cccc} x & 0 & 1 & 2 & 3 \\ \hline k(x) & 8 & 11 & 14 & 17 \end{array}$
Which of the following is $k(x)\textsf{?}$

The height increases by $3$ centimeters each week, and the starting height is $8$ centimeters. So $k(x) = 3x + 8\textsf{.}$

ISAT Grade 11 Functions. Practice it free.

Functions skills

Interpret functions that arise in applications in terms of the context

Build a function that models a relationship between two quantities

Analyze functions using different representations

Construct and compare linear, quadratic, and exponential models

Topics mapped to this domain

Arithmetic sequence nth term

Exponential functions in context (SAT)

Exponential and log formulas

Factored polynomial x-intercepts (SAT)

Function table composition (ACT)

Geometric sequence equations

Linear functions from tables (ACT/SAT)

Linear rule from a function table (ACT)

Piecewise function composition (ACT)

Quadratic minimum from vertex form

Quadratic minimum x-value

Sequences and series

8 free questions · 0/0 correct

Turn functions into game time.

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