MCAP Grade 8 Functions Practice — Sports Academy Games

Functions skills

8.F.A Define, evaluate, and compare functions.

8.F.B Build a function that models a relationship between two quantities.

Standards basis

Maryland College and Career Ready Standards for Mathematics (MCCRSM) — Maryland

How the MCAP reports it

MCAP is Maryland's statewide successor to PARCC, built on the Maryland College and Career Ready Standards for Mathematics (which mirror CCSS-M) — it is not a Smarter Balanced administration despite the claims-style family resemblance. Each grade/course High Level Blueprint (September 2022) organizes the assessment into three subclaims: Content (23-24 one-point machine-scored items, listed per domain/conceptual category as MCCRSM cluster headings), Reasoning (6 items), and Modeling (6 items), the latter two defined by per-grade evidence statements and including constructed-response items. Cluster headings are transcribed verbatim from the blueprints, including their minor typographical deviations from the parallel CCSS-M headings; two evident misprints are normalized (a duplicated sentence fragment on 4.OA.C, and the domain codes printed as G.P.E / T.TF for G.GPE / F.TF). Since March 2025, grade 6-7 students enrolled in a high-school mathematics course may take the corresponding MCAP course assessment instead of the grade-level test.

Blueprint & weighting

Each High Level Blueprint (September 2022) publishes per-domain operational item counts. Content Subclaim (1-point machine-scored items): Grade 3 — OA 7, NBT 2, NF 7, Measurement 5, Geometry 2 (23 items); Grade 4 — OA 4, NBT 5, NF 10, Measurement 3, Geometry 1 (23); Grade 5 — OA 2, NBT 6, NF 9, Measurement 4, Geometry 2 (23); Grade 6 — RP 3, NS 8, EE 8, Geometry 2, SP 2 (23); Grade 7 — RP 8, NS 4, EE 5, Geometry 3, SP 3 (23); Grade 8 — NS 2, EE 10, Functions 5, Geometry 4, SP 2 (23); Algebra I — Number and Quantity 1, Algebra 12, Functions 9, Statistics 2 (24); Geometry — G.CO 7, G.SRT 8, G.C 3, G.GPE 3, G.GMD 1, G.MG 1 (23); Algebra II — Number and Quantity 3, Algebra 8, Functions 11, Statistics 1 (23). Every assessment adds 6 Reasoning Subclaim and 6 Modeling Subclaim operational items — four 1-point machine-scored each, plus two constructed-response items (two 3-point in grades 3-4; one 3-point and one 4-point in grades 5-8; two 4-point in Algebra I, Geometry, and Algebra II) — so a form carries 35 operational items (36 for Algebra I).

Official sources

MSDE — MCAP Mathematics (current program page: grades 3-8, Algebra I, Geometry, Algebra II)
MSDE — MCAP Overview / High Level Blueprints summary
MSDE — MCAP Grade 3 Mathematics High Level Blueprint (September 2022)

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

MCAP Grade 8 Functions. Practice it free.

Functions skills

8.F.A Define, evaluate, and compare functions.

8.F.B Build a function that models a relationship between two quantities.

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