KAP 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
Interpret the equation y = mx + b as defining a linear function
Construct a function to model a linear relationship
Determine the rate of change and initial value from a graph, table, or description

Standards basis

Kansas College and Career Ready Standards for Mathematics (CCRS-M), closely aligned to Common Core State Standards for Mathematics (CCSS-M) — Kansas

How the KAP reports it

Kansas Assessment Program appears to be a state assessment program rather than a vendor framework like Smarter Balanced or PARCC. The public KAP site did not expose a math blueprint or reporting-category document in the pages I could access, so the safest official mapping is to the state's adopted mathematics standards structure that the assessment is built to.

Blueprint & weighting

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

Official sources

Kansas Assessment Program
KAP — About Our Tests (2017 Kansas Mathematics Standards; domains & clusters; reporting categories)
KSDE — Kansas Standards for Mathematics (KCCRS-M standards documents)

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 $y = \dfrac{3}{2}x + 2$ ?

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

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?

Admission is the starting cost ( $\text{\char36}12$ ) and each ride adds $\text{\char36}3$ , so $y = 3x + 12\textsf{.}$

Practice playeasy

What is the slope of the line through $(1, 2)$ and $(3, 8)$ ?

Slope $= \dfrac{8 - 2}{3 - 1} = \dfrac{6}{2} = 3\textsf{.}$

Practice playeasy

What is the $y$ -intercept of the line $y = \dfrac{3}{4}x - 5$ ?

In $y = mx + b$ , the $y$ -intercept is $b = -5$ .

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?