KSA Grade 8 Functions Practice — Sports Academy Games

What the test measures

Functions skills

Define a function as a rule that assigns to each input exactly one output
Compare properties of two functions represented in different ways
Interpret and construct functions to model relationships
Use functions to describe quantitative relationships

Standards basis

Kentucky Academic Standards (KAS) for Mathematics — Kentucky

How the KSA reports it

Kentucky KSA is a state summative assessment built on Kentucky Academic Standards (KAS) rather than a separate national framework. For mathematics, the assessed content closely follows Common Core–style grade-band domains in grades 3-8 and uses Kentucky high-school conceptual categories in grade 10.

Blueprint & weighting

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

Official sources

Kentucky Department of Education — Kentucky Summative Assessment
Kentucky Department of Education — Mathematics
Kentucky Department of Education — Kentucky Laws and Regulations

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?