ILEARN Grade 7 Expressions and Equations Practice

What the test measures

Expressions and Equations skills

Use properties of operations to generate equivalent expressions
Solve multistep real-life and mathematical problems posed with positive and negative rational numbers
Solve word problems leading to equations of the form px + q = r and p(x + q) = r
Solve and graph inequalities in one variable
Use variables to represent quantities and solve problems involving area, surface area, and volume
Understand that rewriting expressions in different forms can reveal how quantities are related

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the full set of skills by the end of the school year, but the official page and accessible sources retrieved here do not publish per-domain item percentages or weightings for math ([Indiana DOE iLEARN](https://www.in.gov/doe/students/assessment/ilearn/), [Indiana DOE Formative (Interim)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)).

Official sources

Indiana DOE iLEARN
Indiana DOE Formative (Interim) Assessment Grant Guidance

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playeasy

Solve for $x$ : $6x - 1 = 17$ .

Subtract $-1$ from both sides: $6x = 18$ . Divide by $6$ : $x = 3$ .

Practice playeasy

A cylinder has radius $1$ and height $5$ . Using $\pi = 3$ , what is its volume?

$V = \pi r^2 h = 3 \times 1 \times 5 = 15$ .

Practice playhard

A rectangular prism has volume $160$ cubic inches and height $5$ inches. The length is twice the width. What is the length, in inches?

$V = \ell w h$ and $\ell = 2w$ , so $160 = (2w)(w)(5) = 10w^2$ . Then $w^2 = 16$ , so $w = 4$ and $\ell = 8\text{ in}\textsf{.}$

Practice playmedium

A factory seals soup in closed cylindrical cans with radius $3$ centimeters and height $5$ centimeters. What is the total exterior surface area, in square centimeters, of one closed can?

A closed cylinder has two circular bases and a lateral surface: $SA = 2\pi r^2 + 2\pi rh$ . With $r = 3$ and $h = 5$ , $SA = 2\pi(9) + 2\pi(3)(5) = 18\pi + 30\pi = 48\pi$ square centimeters.

Practice playeasy

Find the volume of a sphere with radius $3$ . Use $\pi = 3$ .

$V = \dfrac{4}{3} \pi r^{3} = \dfrac{4}{3} \times 3 \times 27 = 108$ .

Practice playeasy

A shipping company accepts a package only if its mass is at least $2.50$ kilograms. A package has a mass of $2.15$ kilograms. What is the minimum increase needed in the package's mass, in kilograms, so that it can be accepted?