Forward Grade 8 Functions. Practice it free.

Defines, evaluates, and compares functions and uses functions to model relationships. This Grade 8 reporting domain maps to 4 practice skills and 8 representative questions from the playable bank.

Grade 84 mapped skills

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 each represented in a different way
Interpret the equation y = mx + b as defining a linear function whose graph is a straight line
Use functions to model relationships between quantities
Construct a function to model a linear relationship between two quantities

Standards basis

Wisconsin Standards for Mathematics — Wisconsin

How the Forward reports it

Wisconsin’s Forward Exam is a state assessment designed to measure students against the recently updated Wisconsin Academic Standards, rather than a separate national framework. The official Forward Exam page confirms the math assessment is administered in grades 3-8 and is aligned to the Wisconsin Academic Standards, but it does not publish a math-specific blueprint on the page itself.

Blueprint & weighting

Not published in the official Forward Exam page content available here. The page confirms alignment to Wisconsin Academic Standards and administration in grades 3-8, but no math blueprint percentages or reporting-category weights are provided on the page content retrieved.

Official sources

Wisconsin DPI Forward Exam
Wisconsin DPI Mathematics in Wisconsin

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 $y = \dfrac{3}{4}x - 5$ ?

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

Practice playmedium

The linear function $h$ is defined by $h(x) = mx + 45$ , where $m$ is a constant. Given that $h(9) = 0$ , evaluate $h(4)$ .

Substitute $x = 9$ : $9m + 45 = 0$ , so $9m = -45$ and $m = -5$ . The rule is $h(x) = -5x + 45$ , so $h(4) = -5(4) + 45 = -20 + 45 = 25$ .

Practice playeasy

A school club starts a fundraiser with $\text{\char36}50$ already collected and earns $\text{\char36}8$ for each cake sold. Let $x$ be the number of cakes sold and $y$ be the total money raised in dollars. Which equation models the situation?

The club begins at $\text{\char36}50$ and gains $\text{\char36}8$ per cake, so $y = 8x + 50\textsf{.}$

Practice playeasy

What is the slope of the line through $(-4, 3)$ and $(2, 3)$ ?

The $y$ -values are equal, so the line is horizontal: slope $= \dfrac{3 - 3}{2 - (-4)} = \dfrac{0}{6} = 0\textsf{.}$

Practice playeasy

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

In $y = mx + b$ , the slope is $m = \dfrac{1}{2}$ .

Practice playhard

The rule $r(x) = -4x + d$ describes a linear function, and $d$ is a constant. If $r(3) = 5$ , what is $r(-2)\textsf{?}$

Substitute $x = 3$ : $-4(3) + d = 5$ , so $-12 + d = 5$ and $d = 17$ . The rule is $r(x) = -4x + 17$ , so $r(-2) = -4(-2) + 17 = 8 + 17 = 25$ .

Practice playeasy

A kayak rental shop charges $\text{\char36}18$ per hour with no upfront fee. Let $x$ be the number of hours rented and $y$ be the total cost in dollars. Which equation models the situation?