MCA Grade 8 Functions Practice — Sports Academy Games

Functions skills

Define, evaluate, and compare functions

Use functions to model relationships between quantities

Interpret functions from equations, tables, and graphs

Compare properties of two functions each represented in a different way

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

What is the $y$ -intercept of the line $y = \dfrac{1}{4}x - 6$ ?

In $y = mx + b$ , the $y$ -intercept is $b = -6$ .

Practice playmedium

For the function $v(x) = 6x + k$ with constant $k$ , it is known that $v(7) = 30$ . What number does $v(4)$ equal?

Substitute $x = 7$ : $6(7) + k = 30$ , so $42 + k = 30$ and $k = -12$ . The rule is $v(x) = 6x - 12$ , so $v(4) = 6(4) - 12 = 24 - 12 = 12$ .

Practice playeasy

Elena already has $\text{\char36}75$ in her savings account and deposits $\text{\char36}20$ each week. Let $x$ be the number of weeks and $y$ be the account balance in dollars. Which equation models the situation?

She starts at $\text{\char36}75$ (intercept) and gains $\text{\char36}20$ per week (slope), so $y = 20x + 75\textsf{.}$

Practice playeasy

What is the slope of the line through $(-1, 4)$ and $(2, -5)$ ?

Slope $= \dfrac{-5 - 4}{2 - (-1)} = \dfrac{-9}{3} = -3\textsf{.}$

Practice playeasy

What is the slope of the line $y = \dfrac{3}{2}x + 2$ ?

In $y = mx + b$ , the slope is $m = \dfrac{3}{2}$ .

Practice playmedium

Here $c$ is a constant in the rule $w(x) = cx - 15$ . Because $w(4) = 5$ , what must $w(9)$ be?

Substitute $x = 4$ : $4c - 15 = 5$ , so $4c = 20$ and $c = 5$ . The rule is $w(x) = 5x - 15$ , so $w(9) = 5(9) - 15 = 45 - 15 = 30$ .

Practice playeasy

A phone plan costs $\text{\char36}25$ per month plus $\text{\char36}0.08$ for each text message. Let $x$ be the number of texts and $y$ be the monthly bill in dollars. Which equation models the situation?

The monthly base cost is $\text{\char36}25$ (intercept) and each text adds $\text{\char36}0.08$ (slope), so $y = 0.08x + 25\textsf{.}$

Practice playeasy

What is the slope of the line through $(1, 5)$ and $(6, 3)$ ?

Slope $= \dfrac{3 - 5}{6 - 1} = \dfrac{-2}{5} = -\dfrac{2}{5}\textsf{.}$

MCA Grade 8 Functions. Practice it free.

Functions skills

Define, evaluate, and compare functions

Use functions to model relationships between quantities

Interpret functions from equations, tables, and graphs

Compare properties of two functions each represented in a different way

Topics mapped to this domain

Graphing linear equations

Linear functions with an unknown constant

Modeling linear situations (ACT/SAT/PSAT 8/9/10)

Slope formula

8 free questions · 0/0 correct

Turn functions into game time.

More Grade 8 domains