WVGSA Grade 8 Functions Practice — Sports Academy Games

What the test measures

Functions skills

Understand a function as a rule with exactly one output per input.
Compare functions represented in different ways.
Interpret y = mx + b as a linear function.
Construct a linear function from data or descriptions.
Describe qualitative function behavior from graphs.

Standards basis

West Virginia College- and Career-Readiness Standards for Mathematics (WVBE Policy 2520.2B) — West Virginia

How the WVGSA reports it

West Virginia’s General Summative Assessment is a state assessment aligned to the West Virginia College- and Career-Readiness Standards rather than a separate national assessment framework. The math blueprint follows CCSS-style grade-band domains and clusters, but the standards are the state’s own West Virginia College- and Career-Readiness Standards.

Blueprint & weighting

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

Official sources

West Virginia Department of Education: General Summative Assessment
West Virginia Department of Education: Grade 3 Mathematics Standards
West Virginia Department of Education: Grade 4 Mathematics Standards

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?