Ohio State Tests Algebra I Functions Practice

Ohio State Tests Algebra I Functions. Practice it free.

Ohio's State Test Algebra I end-of-course math subscore covering functions — understanding functions and function notation, interpreting key features, analyzing functions across representations, building functions, and constructing and comparing linear, quadratic, and exponential models (Ohio's Learning Standards high-school Functions conceptual category). This Algebra I reporting domain maps to 26 practice skills and 8 representative questions from the playable bank.

Algebra I26 mapped skills

Functions skills

Interpret and analyze functions using different representations and build and compare linear, quadratic, and exponential functions and models

Standards basis

Ohio's Learning Standards (mathematics) — Common Core-derived (CCSS-M) — Ohio

How the Ohio State Tests reports it

Ohio's State Tests are Ohio-specific assessments built around Ohio's Learning Standards for Mathematics, which are CCSS-derived and retain the Common Core grade-level domains and (at high school) conceptual categories nearly verbatim. Math is tested in grades 3-8 and via end-of-course exams; the high-school graduation pathway uses Algebra I and Geometry, but students in an integrated sequence take Integrated Mathematics I and II in their place (these integrated courses are not given their own bands here — Integrated Math I draws on the same Algebra/Functions/Number & Quantity/Geometry/Statistics content as Algebra I plus early Geometry, and Integrated Math II adds the remaining Geometry/Functions/Probability content). The reporting categories below are the official math subscore categories Ohio publishes per test; because no public item-percentage blueprint was retrievable, the cluster-level Common Core domains those subscores cover are used (the standards' grade-level domains, which the reporting categories mirror).

Blueprint & weighting

Ohio publishes per-test math subscore (reporting) categories in its Subscore Definitions chart and raw-score subscale ranges, but no public per-category item-percentage blueprint was retrievable; the statistical summaries report the number of items per subscore by administration rather than a fixed blueprint weighting.

Official sources

Ohio Department of Education and Workforce — Ohio's State Tests Subscore Definitions (OSTSubscoreChart.pdf)
Ohio Department of Education and Workforce — Ohio's State Tests Spring 2025 Statistical Summary
Ohio Department of Education and Workforce — Ohio's State Tests in ELA, Mathematics, Science and Social Studies

8 free questions · 0/0 correct

Practice playmedium

The first five terms of an arithmetic sequence are $40, 35, 30, 25, 20$ . What is the $12$ th term?

The common difference is $d = -5$ . With $a_1 = 40$ , the $12$ th term is $a_{12} = 40 + 11(-5) = -15$ .

Practice playeasy

The function $f$ is defined by $f(x) = \sqrt{x + 21}$ . What is the value of $f(x)$ when $x = 4$ ?

Substitute $x = 4$ : $f(4) = \sqrt{4 + 21} = \sqrt{25} = 5$ .

Practice playeasy

The function $f$ is defined by $f(x) = -2x + 15$ . What is the value of $f(x)$ when $x = 3$ ?

Substitute $x = 3$ : $f(3) = -2(3) + 15 = -6 + 15 = 9$ .

Practice playeasy

For the function $g$ , $g(0) = 100$ . For each increase in $x$ by $1$ , the value of $g(x)$ increases by $50\%$ . What is the value of $g(2)$ ?

Each step multiplies by $1 + 0.50 = 1.5$ . So $g(2) = 100 \cdot 1.5^2 = 100 \cdot 2.25 = 225$ .

Practice playeasy

$r = 120 - 8s$

The equation shown gives the estimated number of raffle tickets $r$ remaining after $s$ sales periods at a festival booth, where $0 \le s \le 15\textsf{.}$ What is the estimated number of raffle tickets remaining after $7$ sales periods?

Substitute $s = 7\textsf{:}$ $r = 120 - 8(7) = 120 - 56 = 64\textsf{.}$ The estimated number remaining is $64\textsf{.}$

Practice playmedium

A forest preserve had $4{,}000$ acres of woodland in $2010$ . Each year from $2010$ through $2020$ , a model estimates that the woodland area decreased by $5\%$ of the area the previous year. Which equation defines this model, where $a(t)$ is the estimated woodland area, in acres, $t$ years after $2010$ ?

The starting area is $4{,}000$ acres, and a $5\%$ yearly decrease means multiplying by $0.95$ each year, so $a(t) = 4{,}000(0.95)^t$ .

Practice playeasy

The function $h$ is defined by $h(t) = 125(1.18)^t$ . The function $h$ models the number of members in a club, where $t$ is the number of years after the club was founded. According to the model, what is the estimated number of members when the club was founded?

When the club was founded, $t = 0$ . So $h(0) = 125(1.18)^0 = 125$ members.

Practice playeasy

A substance has a half-life of $4$ years. What fraction remains after $12$ years?

$12 \div 4 = 3$ half-lives. Remaining: $\left(\dfrac{1}{2}\right)^{3} = \dfrac{1}{8}$ .

Ohio State Tests Algebra I Functions. Practice it free.

Functions skills

Interpret and analyze functions using different representations and build and compare linear, quadratic, and exponential functions and models

Topics mapped to this domain

Arithmetic sequence nth term

Evaluating functions

Evaluating functions at a value

Evaluating functions from percent change

Evaluating functions in context

Writing exponential equations from context (SAT)

Exponential functions in context (SAT)

Exponential and log formulas

Factored polynomial x-intercepts (SAT)

Function table composition (ACT)

Geometric sequence equations

Interpreting exponential parameters

8 free questions · 0/0 correct

Turn functions into game time.

More Algebra I domains