ILEARN 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

  1. Define, evaluate, and compare functions

  2. Understand that a function is a rule that assigns to each input exactly one output

  3. Compare properties of two functions each represented in a different way

  4. Interpret the rate of change and initial value of a function

  5. Use functions to model relationships between quantities

Standards basis

Indiana Academic Standards for Mathematics — Indiana

How the ILEARN reports it

Indiana iLEARN is a state assessment system aligned to Indiana’s Academic Standards rather than a shared national testing framework. The public iLEARN page says the math assessment is a computer-adaptive test measuring Indiana mathematics standards, and the through-year summative measures the full set of skills expected by year end ([Indiana DOE iLEARN](https://www.in.gov/doe/students/assessment/ilearn/)).

Blueprint & weighting

The iLEARN public page states that each Checkpoint measures a subset of skills and the summative measures the full set of skills by the end of the school year, but the official page and accessible sources retrieved here do not publish per-domain item percentages or weightings for math ([Indiana DOE iLEARN](https://www.in.gov/doe/students/assessment/ilearn/), [Indiana DOE Formative (Interim) Assessment Grant Guidance](https://www.in.gov/doe/files/2026-2027-Formative-Interim-Assessment-Grant-Guidance.pdf)).

Try it now

8 free questions · 0/0 correct

Practice playeasy

What is the yy-intercept of the line y=34x5y = \dfrac{3}{4}x - 5?

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

Practice playmedium

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

Substitute x=9x = 9: 9m+45=09m + 45 = 0, so 9m=459m = -45 and m=5m = -5. The rule is h(x)=5x+45h(x) = -5x + 45, so h(4)=5(4)+45=20+45=25h(4) = -5(4) + 45 = -20 + 45 = 25.

Practice playeasy

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

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

Practice playeasy

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

The yy-values are equal, so the line is horizontal: slope =332(4)=06=0.= \dfrac{3 - 3}{2 - (-4)} = \dfrac{0}{6} = 0\textsf{.}

Practice playeasy

What is the slope of the line y=12x2y = \dfrac{1}{2}x - 2?

In y=mx+by = mx + b, the slope is m=12m = \dfrac{1}{2}.

Practice playhard

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

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

Practice playeasy

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

With no starting fee, the cost is only the hourly rate times hours: y=18x.y = 18x\textsf{.}

Practice playeasy

What is the slope of the line through (2,1)(-2, -1) and (2,1)(2, 1)?

Slope =1(1)2(2)=24=12.= \dfrac{1 - (-1)}{2 - (-2)} = \dfrac{2}{4} = \dfrac{1}{2}\textsf{.}

Keep practicing

Turn functions into game time.

The ILEARN placement starts with this test's real coverage map and finds the right difficulty.