Maine MTA High School (grade 10) Functions Practice

Functions skills

Interpreting Functions

Building Functions

Linear, Quadratic, and Exponential Models

Trigonometric Functions

Standards basis

Common Core State Standards (CCSS-M) — Maine

How the Maine MTA reports it

Maine Through-Year Assessment is Maine’s state assessment program delivered with NWEA MAP Growth item pools and through-year administration. The public sources identify it as a Maine DOE assessment aligned to Common Core State Standards in math, but Maine uses its own through-year blueprint rather than a separate national framework.

Blueprint & weighting

No official per-domain item weighting was located in the Maine DOE public assessment posts or the cited pages. The public Maine DOE materials emphasize a through-year model with fall-to-spring growth measurement rather than a published domain-by-domain blueprint.

Official sources

Maine DOE Newsroom – Assessment category
Maine DOE Newsroom – Media Releases

8 free questions · 0/0 correct

Practice playmedium

The first five terms of an arithmetic sequence are $40, 35, 30, 25, 20$ . What is the $12$ th term?

The common difference is $d = -5$ . With $a_1 = 40$ , the $12$ th term is $a_{12} = 40 + 11(-5) = -15$ .

Practice playeasy

Convert $\dfrac{\pi}{6}$ to degrees.

$\dfrac{\pi}{6} \times \dfrac{180°}{\pi} = 30°$ .

Practice playeasy

The function $f$ is defined by $f(x) = \sqrt{x + 21}$ . What is the value of $f(x)$ when $x = 4$ ?

Substitute $x = 4$ : $f(4) = \sqrt{4 + 21} = \sqrt{25} = 5$ .

Practice playeasy

The function $f$ is defined by $f(x) = -2x + 15$ . What is the value of $f(x)$ when $x = 3$ ?

Substitute $x = 3$ : $f(3) = -2(3) + 15 = -6 + 15 = 9$ .

Practice playeasy

For the function $g$ , $g(0) = 100$ . For each increase in $x$ by $1$ , the value of $g(x)$ increases by $50\%$ . What is the value of $g(2)$ ?

Each step multiplies by $1 + 0.50 = 1.5$ . So $g(2) = 100 \cdot 1.5^2 = 100 \cdot 2.25 = 225$ .

Practice playeasy

$r = 120 - 8s$

The equation shown gives the estimated number of raffle tickets $r$ remaining after $s$ sales periods at a festival booth, where $0 \le s \le 15\textsf{.}$ What is the estimated number of raffle tickets remaining after $7$ sales periods?

Substitute $s = 7\textsf{:}$ $r = 120 - 8(7) = 120 - 56 = 64\textsf{.}$ The estimated number remaining is $64\textsf{.}$

Practice playeasy

What is the value of $\log_{2}4 + \log_{2}2\textsf{?}$

$\log_{2}4 = 2$ and $\log_{2}2 = 1\textsf{.}$ Adding gives $2 + 1 = 3\textsf{.}$

Practice playmedium

A forest preserve had $4{,}000$ acres of woodland in $2010$ . Each year from $2010$ through $2020$ , a model estimates that the woodland area decreased by $5\%$ of the area the previous year. Which equation defines this model, where $a(t)$ is the estimated woodland area, in acres, $t$ years after $2010$ ?

The starting area is $4{,}000$ acres, and a $5\%$ yearly decrease means multiplying by $0.95$ each year, so $a(t) = 4{,}000(0.95)^t$ .

Maine MTA High School (grade 10) Functions. Practice it free.

Functions skills

Interpreting Functions

Building Functions

Linear, Quadratic, and Exponential Models

Trigonometric Functions

Topics mapped to this domain

Arithmetic sequence nth term

Degree-radian conversion

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)

8 free questions · 0/0 correct

Turn functions into game time.

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