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

Interprets, builds, and compares functions and uses them to model relationships. This High School (grade 10) reporting domain maps to 35 practice skills and 8 representative questions from the playable bank.

High School (grade 10)35 mapped skills
What the test measures

Functions skills

  1. Interpreting Functions

  2. Building Functions

  3. Linear, Quadratic, and Exponential Models

  4. 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.

Try it now

8 free questions · 0/0 correct

Practice playmedium

The first five terms of an arithmetic sequence are 40,35,30,25,2040, 35, 30, 25, 20. What is the 1212th term?

The common difference is d=5d = -5. With a1=40a_1 = 40, the 1212th term is a12=40+11(5)=15a_{12} = 40 + 11(-5) = -15.

Practice playeasy

Convert 2π3\dfrac{2\pi}{3} to degrees.

2π3×180°π=120°\dfrac{2\pi}{3} \times \dfrac{180°}{\pi} = 120°.

Practice playeasy

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

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

Practice playeasy

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

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

Practice playeasy

For the function gg, g(0)=100g(0) = 100. For each increase in xx by 11, the value of g(x)g(x) increases by 50%50\%. What is the value of g(2)g(2)?

Each step multiplies by 1+0.50=1.51 + 0.50 = 1.5. So g(2)=1001.52=1002.25=225g(2) = 100 \cdot 1.5^2 = 100 \cdot 2.25 = 225.

Practice playeasy

r=1208sr = 120 - 8s

The equation shown gives the estimated number of raffle tickets
rr remaining after ss sales periods at a festival booth, where 0s15.0 \le s \le 15\textsf{.} What is the estimated number of raffle tickets remaining after 77 sales periods?

Substitute s=7:s = 7\textsf{:} r=1208(7)=12056=64.r = 120 - 8(7) = 120 - 56 = 64\textsf{.} The estimated number remaining is 64.64\textsf{.}

Practice playmedium

A forest preserve had 4,0004{,}000 acres of woodland in 20102010. Each year from 20102010 through 20202020, a model estimates that the woodland area decreased by 5%5\% of the area the previous year. Which equation defines this model, where a(t)a(t) is the estimated woodland area, in acres, tt years after 20102010?

The starting area is 4,0004{,}000 acres, and a 5%5\% yearly decrease means multiplying by 0.950.95 each year, so a(t)=4,000(0.95)ta(t) = 4{,}000(0.95)^t.

Practice playeasy

The function hh is defined by h(t)=125(1.18)th(t) = 125(1.18)^t. The function hh models the number of members in a club, where tt is the number of years after the club was founded. According to the model, what is the estimated number of members when the club was founded?

When the club was founded, t=0t = 0. So h(0)=125(1.18)0=125h(0) = 125(1.18)^0 = 125 members.

Keep practicing

Turn functions into game time.

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