RISE Grade 8 Functions Practice — Sports Academy Games

What the test measures

Functions skills

Define, evaluate, and compare functions
Use functions to model relationships between quantities

Standards basis

Utah Core Standards for Mathematics (CCSS-aligned Utah math standards) — Utah

How the RISE reports it

Utah’s RISE mathematics assessment is a state assessment aligned to Utah Core Standards rather than a separately branded national framework. The official Utah pages point to Utah Core standards resources and the RISE administration guidance, with no separate public math blueprint published on the assessment page itself.

Blueprint & weighting

RISE mathematics weighting by domain was not located on the official Utah assessment page; the official page only points to the RISE assessment overview/administration resources and the Utah Core Standards resources. Grade 6 administration guidance notes a two-segment math test with Segment 1 no calculator and Segment 2 calculator allowed, and the proctor guide states Mathematics has an expected testing time of 90 minutes for most students and 135 minutes for all students.

Official sources

Utah State Board of Education Assessments
Utah State Board of Education Learning Resources for Families
Utah State Board of Education Assessment Contacts PDF

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playeasy

What is the $y$ -intercept of the line $y = \dfrac{1}{2}x - 4$ ?

In $y = mx + b$ , the $y$ -intercept is $b = -4$ .

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?

Each class adds $\text{\char36}5$ (slope) on top of the $\text{\char36}30$ membership (intercept), so $y = 5x + 30\textsf{.}$

Practice playeasy

What is the slope of the line through $(0, 5)$ and $(4, -3)$ ?

Slope $= \dfrac{-3 - 5}{4 - 0} = \dfrac{-8}{4} = -2\textsf{.}$

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

Consider the linear function $t$ given by $t(x) = nx + 150$ , where $n$ is a constant. Knowing that $t(10) = 80$ , determine $t(20)$ .

Substitute $x = 10$ : $10n + 150 = 80$ , so $10n = -70$ and $n = -7$ . The rule is $t(x) = -7x + 150$ , so $t(20) = -7(20) + 150 = -140 + 150 = 10$ .

Practice playeasy

An amusement park charges $\text{\char36}12$ for admission and $\text{\char36}3$ for each ride. Let $x$ be the number of rides and $y$ be the total cost in dollars. Which equation models the situation?