TCAP Grade 8 Functions Practice — Sports Academy Games

What the test measures

Functions skills

8.F.A.1 Understand that a function is a rule that assigns to each input exactly one output
8.F.A.2 Compare properties of two functions represented in different ways
8.F.B.3 Interpret the equation y = mx + b as defining a linear function
8.F.B.4 Construct a function to model a linear relationship between two quantities

Standards basis

Tennessee Academic Standards for Mathematics — Tennessee

How the TCAP reports it

TCAP math is Tennessee’s state assessment program and its blueprints are aligned to Tennessee Academic Standards, which closely mirror the Common Core content structure in grades 3-8 and the CCSS-style high school conceptual categories. The blueprint page lists the current 2025-26 assessment overviews, including Math Grade 2, Grades 3-5, Grades 6-8, and Math EOC. [Tennessee Department of Education](https://www.tn.gov/education/districts/lea-operations/assessment/tcap-blueprints.html)

Blueprint & weighting

Published TCAP math blueprints assign content emphasis by grade/course, but the exact percentage table was not recoverable from the accessible blueprint page in this session. The state blueprint landing page confirms the math overviews but did not expose the PDF links in the fetched page content. [Tennessee Department of Education](https://www.tn.gov/education/districts/lea-operations/assessment/tcap-blueprints.html)

Official sources

Tennessee Department of Education TCAP Blueprints
Tennessee Education Glossary (academic standards entry)

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playeasy

What is the slope of the line $y = \dfrac{1}{2}x - 1$ ?

In $y = mx + b$ , the slope is $m = \dfrac{1}{2}$ .

Practice playmedium

In the rule $g(x) = 8x + c$ , the value of $c$ is a constant. Given that $g(3) = 10$ , find $g(5)$ .

Substitute $x = 3$ : $8(3) + c = 10$ , so $24 + c = 10$ and $c = -14$ . The rule is $g(x) = 8x - 14$ , so $g(5) = 8(5) - 14 = 40 - 14 = 26$ .

Practice playeasy

A print shop already has $64$ posters ready for an event and prints an average of $3.5$ more posters each hour. Let $x$ be the number of hours of printing and $y$ be the total number of posters ready. Which equation models the situation?

The shop starts with $64$ posters (intercept) and adds $3.5$ posters each hour (slope), so $y = 3.5x + 64\textsf{.}$

Practice playeasy

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

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

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

Let $p(x) = kx - 6$ for some constant $k$ . If $p(2) = 10$ , what is the value of $p(5)$ ?

Substitute $x = 2$ : $2k - 6 = 10$ , so $2k = 16$ and $k = 8$ . The rule is $p(x) = 8x - 6$ , so $p(5) = 8(5) - 6 = 40 - 6 = 34$ .

Practice playeasy

A gym charges a $\text{\char36}30$ monthly membership plus $\text{\char36}5$ for each fitness class. Let $x$ be the number of classes and $y$ be the total monthly cost in dollars. Which equation models the situation?