Ohio's Learning Standards (mathematics) — Common Core-derived (CCSS-M) — Ohio
Ohio State Tests Grade 6 Expressions and Equations. Practice it free.
Ohio's State Test grade 6 math subscore covering expressions and equations — algebraic expressions, one-variable equations and inequalities, and relationships between dependent and independent variables (Ohio's Learning Standards Expressions and Equations domain). This Grade 6 reporting domain maps to 6 practice skills and 8 representative questions from the playable bank.
What the test measuresStandards basis How the Ohio State Tests reports it Blueprint & weighting Official sources
Expressions and Equations skills
Apply and extend previous understandings of arithmetic to algebraic expressions, and reason about and solve one-variable equations and inequalities
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).
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.
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
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8 free questions · 0/0 correct
Which expression is equivalent to ?
The terms and are like terms: . The constant stays the same, so the expression is equivalent to
Simplify: .
Combine -terms: . Combine constants: . Result: .
What is
Any base to the first power equals itself:
Write using an exponent.
The base appears times as a factor, so .
Evaluate: .
Multiply first: . Then .
What is ?
.
Which expression is equivalent to ?
The terms and are like terms: . The constant stays the same, so the expression is equivalent to
Simplify: .
Combine: , . Result: .
Keep practicing
Turn expressions and equations into game time.
The Ohio State Tests placement starts with this test's real coverage map and finds the right difficulty.
Related Common Core standards
Expressions and Equations in other Ohio State Tests grades
Source and test overview
Reporting categories
More Grade 6 domains
Ratios and ProportionsOhio's State Test grade 6 math subscore covering ratios and proportional relationships — ratio concepts, unit rates, and percent (Ohio's Learning Standards Ratios and Proportional Relationships domain).8 QsPractice →Geometry and StatisticsOhio's State Test grade 6 math subscore combining geometry and statistics — area, surface area, and volume problems and polygons in the coordinate plane, with statistical variability and summarizing distributions (Ohio's Learning Standards Geometry and Statistics and Probability domains).8 QsPractice →The Number SystemOhio's State Test grade 6 math subscore covering the number system — dividing fractions, fluent multi-digit computation and common factors/multiples, and extending to rational numbers and the coordinate plane (Ohio's Learning Standards The Number System domain).8 QsPractice →