ACAP 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

Alabama Course of Study: Mathematics — Alabama

How the ACAP reports it

Alabama’s ACAP Summative is a state assessment tied to Alabama’s own K-12 mathematics standards and reporting structure rather than a national consortium blueprint. The publicly accessible assessment page does not expose a separate ACAP math blueprint in the fetched content, so the safest official coverage basis is Alabama’s mathematics standards organization into grade-level domains.

Blueprint & weighting

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

Official sources

Alabama Department of Education - Assessment
Alabama Office of Mathematics Improvement

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 $y = \dfrac{3}{4}x - 7$ ?

In $y = mx + b$ , the $y$ -intercept is $b = -7$ .

Practice playhard

Suppose $z(x) = -2x + b$ , where $b$ is a constant. If $z(8) = 3$ , what is the value of $z(1)\textsf{?}$

Substitute $x = 8$ : $-2(8) + b = 3$ , so $-16 + b = 3$ and $b = 19$ . The rule is $z(x) = -2x + 19$ , so $z(1) = -2(1) + 19 = -2 + 19 = 17$ .

Practice playeasy

A tutor charges $\text{\char36}35$ per session and no registration fee. Let $x$ be the number of sessions and $y$ be the total cost in dollars. Which equation models the situation?

Each session costs $\text{\char36}35$ with no upfront charge, so $y = 35x\textsf{.}$

Practice playeasy

What is the slope of the line through $(3, -2)$ and $(5, 8)$ ?

Slope $= \dfrac{8 - (-2)}{5 - 3} = \dfrac{10}{2} = 5\textsf{.}$

Practice playeasy

What is the slope of the line $y = x - 7$ ?

In $y = mx + b$ , the slope is $m = 1$ .

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?