Ohio State Tests Algebra I Number, Quantities, Equations and Expressions Practice

Ohio State Tests Algebra I Number, Quantities, Equations and Expressions. Practice it free.

Ohio's State Test Algebra I end-of-course math subscore covering number/quantity, expressions, and equations — quantitative reasoning and units, structure of expressions, polynomial arithmetic, creating equations and inequalities, and solving equations, inequalities, and systems algebraically and graphically (Ohio's Learning Standards high-school Number and Quantity and Algebra conceptual categories). This Algebra I reporting domain maps to 52 practice skills and 8 representative questions from the playable bank.

Algebra INQEE52 mapped skills

Number, Quantities, Equations and Expressions skills

Reason quantitatively and use units, and interpret and rewrite the structure of expressions

Create equations and inequalities and solve equations, inequalities, and systems algebraically and graphically

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 playeasy

$|x + 8| = 21$

Which of the following gives both solutions to the given equation?

The equation means $x + 8 = 21$ or $x + 8 = -21$ . So $x = 13$ or $x = -29$ . Both solutions are $-29$ and $13\textsf{.}$

Practice playeasy

If $|2x + 10| = 26$ , what is the positive value of $x + 5$ ?

Rewrite $|2x + 10| = |2(x + 5)| = |2|\,|x + 5| = 2|x + 5|$ . Since $2|x + 5| = 26$ , divide by $2$ to get $|x + 5| = 13$ . The expression $x + 5$ equals $13$ or $-13$ ; the positive value is $13\textsf{.}$

Practice playeasy

Which is the completely factored form of $5x^{2} + 10x$ ?

The greatest common factor of $5x^{2}$ and $10x$ is $5x\textsf{.}$ Factoring gives $5x(x + 2)$ .

Practice playmedium

A robotics team ordered identical battery packs and connector cables for each member. Every member received the same number of battery packs and the same number of cables. The shipment contained $50$ battery packs and $75$ cables in all. Which could be the number of members on the robotics team?

The number of team members must divide both totals evenly. The common factors of $50$ and $75$ greater than $1$ are $5$ and $25$ . Only $25$ is listed: $50 \div 25 = 2$ packs and $75 \div 25 = 3$ cables per member.

Practice playmedium

A pass/fail exam awards credit when the score $s$ is more than $70$ points but at most $100$ points. Which inequality represents the possible passing scores?

More than $70$ means $s > 70$ . At most $100$ means $s \le 100$ , so $70 < s \le 100$ .

Practice playeasy

A student can spend at most $\text{\char36}48$ on adult tickets at $\text{\char36}12$ each and child tickets at $\text{\char36}8$ each. She wants at least $2$ child tickets. Let $a$ be the number of adult tickets and $c$ the number of child tickets. Which pair $(a, c)$ is a possible purchase?

Check both constraints: $12a + 8c \le 48$ and $c \ge 2\textsf{.}$ The pair $(2, 3)$ costs $12(2) + 8(3) = 48$ and has $3$ child tickets, so both constraints are met.

Practice playeasy

Which expression is equivalent to $81 - x^{2}$ ?

$81 - x^{2} = 9^{2} - x^{2} = (9 - x)(9 + x)$ .

Practice playeasy

How many distinct real roots does $x^{2} - 25 = 0$ have?

Here $a = 1$ , $b = 0$ , and $c = -25$ . Substituting into $b^{2} - 4ac$ gives $0^{2} - 4(1)(-25) = 100\textsf{,}$ so there are $2$ distinct real roots.

Ohio State Tests Algebra I Number, Quantities, Equations and Expressions. Practice it free.

Number, Quantities, Equations and Expressions skills

Reason quantitatively and use units, and interpret and rewrite the structure of expressions

Create equations and inequalities and solve equations, inequalities, and systems algebraically and graphically

Topics mapped to this domain

Absolute value equation solutions

Absolute value equations (ACT/SAT)

Common factor factoring (SAT)

Common factor group size (ACT)

Compound inequality situations

Constraints and viable solutions (SAT)

Difference of squares factoring

Discriminant analysis

The discriminant and quadratic formula

Equivalent rational expressions (SAT)

Factoring quadratic expressions (ACT)

Factoring patterns

8 free questions · 0/0 correct

Turn number, quantities, equations and expressions into game time.

More Algebra I domains