The function B is defined by B(y) = 2,500(1.06)^y. The function models the balance, in dollars, of a savings account y years after it was opened. The domain of the function is 0 ≤ y ≤ 12. Which of the following is the best interpretation of the statement "B(4) is approximately equal to 3,156" in this context?

When the balance is approximately 3,156 dollars, about 3,156 years have passed since the account was opened

When the balance is approximately 3,156 dollars, that amount is 4 times the balance from the previous year

4 years after the account was opened, the balance has increased by a total of approximately 3,156 dollars

MCAS Grade 10 Functions Practice — Sports Academy Games

Functions skills

Understand the concept of a function

Interpret functions that arise in applications in terms of the context

Analyze functions using different representations

Standards basis

Massachusetts Curriculum Frameworks / Massachusetts learning standards (CCSS-aligned math standards as adopted by Massachusetts) — Massachusetts

How the MCAS reports it

MCAS is Massachusetts’ statewide assessment program, and its math design is built on Massachusetts Curriculum Frameworks rather than a separate multi-state framework. The official MCAS pages state that MCAS assessments are based on the state’s learning standards and that the math tests are organized by Massachusetts grade-band domains/reporting categories.

Blueprint & weighting

The official MCAS math blueprint/test-design materials were not successfully retrievable in this session, so published domain weightings could not be verified from a primary PDF/page.

Official sources

Massachusetts DESE MCAS overview
Massachusetts DESE MCAS released item documents
Massachusetts DESE release of spring 2025 test items

8 free questions · 0/0 correct

Practice playeasy

The function $f$ is defined by $f(x) = x^{2} + 4x$ . What is the value of $f(x)$ when $x = 5$ ?

Substitute $x = 5$ : $f(5) = 5^{2} + 4(5) = 25 + 20 = 45$ .

Practice playeasy

The function $f$ is defined by $f(x) = \dfrac{x}{2} + 6$ . What is the value of $f(x)$ when $x = 4$ ?

Substitute $x = 4$ : $f(4) = \dfrac{4}{2} + 6 = 2 + 6 = 8$ .

Practice playeasy

For the function $f$ , $f(0) = 125$ . For each increase in $x$ by $1$ , the value of $f(x)$ increases by $20\%$ . What is the value of $f(2)$ ?

Each step multiplies by $1.20$ . So $f(2) = 125 \cdot 1.20^2 = 125 \cdot 1.44 = 180$ .

Practice playeasy

$T = 72 + 3c$

The equation shown gives the estimated oven temperature $T\textsf{,}$ in degrees Fahrenheit, after $c$ heating cycles during a warm-up, where $0 \le c \le 10\textsf{.}$ What is the estimated oven temperature, in degrees Fahrenheit, after $5$ heating cycles?

Substitute $c = 5\textsf{:}$ $T = 72 + 3(5) = 72 + 15 = 87\textsf{.}$ The estimated temperature is $87$ degrees Fahrenheit.

Practice playeasy

For what value of $x$ does the graph of $y = -5(x - 11)(x + 4)$ intercept the $x$ -axis?

Set $y = 0$ : $-5(x - 11)(x + 4) = 0$ . The constant $-5 \neq 0$ , so the zeros are $x = 11$ and $x = -4$ . Of the choices, $-4$ is an x-coordinate of an x-intercept.

Practice playmedium

The function $B$ is defined by $B(y) = 2{,}500(1.06)^{y}$ . The function models the balance, in dollars, of a savings account $y$ years after it was opened. The domain of the function is $0 \le y \le 12$ . Which of the following is the best interpretation of the statement " $B(4)$ is approximately equal to $3{,}156$ " in this context?

Here $y$ is years after the account was opened and $B(y)$ is the balance in dollars. So $B(4) \approx 3{,}156$ means that about $4$ years after the account was opened, the balance is approximately $3{,}156$ dollars.

Practice playeasy

A decorative fountain shoots water straight up. The water's height $f$ , in feet, above the nozzle $t$ seconds after leaving the nozzle is modeled by $f(t) = -2t^2 + 12t + 20$ . What is the height of the water, in feet, $3$ seconds after it leaves the nozzle?

Substitute $t = 3$ : $f(3) = -2(3^2) + 12(3) + 20 = -18 + 36 + 20 = 38$ feet.

Practice playeasy

$f(x) = (x + 3)^2 - 6$

The function $f$ is defined by the given equation. For what value of $x$ does $f(x)$ reach its minimum?

The equation is in vertex form $f(x) = a(x - h)^2 + k$ with $a = 1 > 0$ , so the graph opens upward and the minimum occurs at the vertex. Rewrite $(x + 3)^2$ as $(x - (-3))^2$ : the vertex is at $x = -3$ . Therefore, $f(x)$ reaches its minimum when $x = -3$ .

MCAS Grade 10 Functions. Practice it free.

Functions skills

Understand the concept of a function

Interpret functions that arise in applications in terms of the context

Analyze functions using different representations

Topics mapped to this domain

Evaluating functions

Evaluating functions at a value

Evaluating functions from percent change

Evaluating functions in context

Factored polynomial x-intercepts (SAT)

Interpreting function values in context

Quadratic function word problems (ACT)

Quadratic minimum from vertex form

Quadratic minimum x-value

Recursive sequence nth term (ACT)

Slope-intercept intercepts (SAT/PSAT 8/9/10)

8 free questions · 0/0 correct

Turn functions into game time.

More Grade 10 domains