MCA High School / MCA EOC Functions Practice

Functions skills

Understand the concept of a function and use function notation

Interpret functions that arise in applications in terms of the context

Analyze functions using different representations

Build new functions from existing functions

Construct and compare linear, quadratic, and exponential models and solve problems

Standards basis

Minnesota Academic Standards in Mathematics (2007; assessed by MCA-III in grades 3-8 and 11 through 2026-27. 2022 standards phase in with MCA-IV beginning 2027-28) — Minnesota

How the MCA reports it

Minnesota’s MCA math is a state assessment tied to Minnesota Academic Standards in Mathematics rather than a separate national framework. The official public resources available here point to Minnesota-specific standards implementation, and absent a test blueprint, the coverage map should be organized by the state’s grade-level math domains that closely parallel CCSS-M. Note: the current MCA-III assesses the 2007 Minnesota standards in grades 3-8 and 11; Minnesota administers a single comprehensive high-school (grade 11) math test, NOT Algebra I / Geometry / Algebra II end-of-course exams — the 'High School / MCA EOC' band below is the grade-11 HS administration. (MCA-IV on the 2022 standards begins 2027-28.)

Blueprint & weighting

MCA uses the Independent / state-specific framework (by grade domains structure).

Official sources

Minnesota Department of Education MCA page
Minnesota Academic Standards in Mathematics implementation reference
MCA-III Mathematics Test Specifications, Grades 3-8 and 11

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 playmedium

The function $R$ is defined by $R(t) = 900(0.5)^{t/12}$ . The function $R$ models the intensity of background radiation, in millisieverts, measured $t$ months after a person enters an underground shelter. Which statement best describes what the $12$ in the expression $t/12$ represents?

The exponent is $t/12$ , so when $t$ increases by $12$ , the exponent increases by $1$ and the intensity is multiplied by $0.5$ . The $12$ is the number of months for one full application of the factor $0.5$ .

Practice playeasy

A substance has a half-life of $2$ years. What fraction remains after $6$ years?

$6 \div 2 = 3$ half-lives. Remaining: $\left(\dfrac{1}{2}\right)^{3} = \dfrac{1}{8}$ .

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

What is $f^{-1}(x)$ when $f(x)=7-x$ ?

Set $y=7-x$ . Swap: $x=7-y$ . Solve for $y$ : $y=7-x$ . So $f^{-1}(x)=7-x\textsf{.}$

MCA High School / MCA EOC Functions. Practice it free.

Functions skills

Understand the concept of a function and use function notation

Interpret functions that arise in applications in terms of the context

Analyze functions using different representations

Build new functions from existing functions

Construct and compare linear, quadratic, and exponential models and solve problems

Topics mapped to this domain

Evaluating functions

Evaluating functions at a value

Evaluating functions from percent change

Evaluating functions in context

Exponential functions in context (SAT)

Exponential and log formulas

Factored polynomial x-intercepts (SAT)

Finding inverse functions (ACT)

Function transformation descriptions

Function transformations

Interpreting function values in context

Linear functions from tables (ACT/SAT)

8 free questions · 0/0 correct

Turn functions into game time.

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