North Dakota State Content Standards for Mathematics — North Dakota
NDSA Grade 6 Expressions and Equations. Practice it free.
Works with expressions, variables, and equations to represent and solve problems. This Grade 6 reporting domain maps to 2 practice skills and 8 representative questions from the playable bank.
What the test measuresStandards basis How the NDSA reports it Blueprint & weighting Official sources
Expressions and Equations skills
Apply properties of operations to generate equivalent expressions.
Reason about and solve one-variable equations and inequalities.
Represent and analyze quantitative relationships between dependent and independent variables.
North Dakota administered its own state assessment program (the NDSA, a Cambium computer-adaptive test in grades 3-8 and 10; replaced by ND A+ beginning spring 2025). An official NDSA mathematics public-facing CAT blueprint (Cambium/NDDPI, Oct 2020) does exist and lists per-grade reporting categories with percentage ranges, but its full per-grade table could not be retrieved character-for-character from a citable primary source for transcription here (the Cambium content CDN blocks programmatic access). The NDSA reporting categories are the CCSS-M grade-level domains: the assessment was built on North Dakota's 2017 math standards, which are verbatim CCSS-M organized by grade-level domains. The coverage map below uses North Dakota's 2023-standards-style domain/standard codes (e.g. 3.AR.OA) but the skill content is CCSS-M.
An official NDSA mathematics CAT blueprint (Cambium/NDDPI public-facing CAT version, Oct 2020) publishes per-grade reporting-category percentage ranges (e.g. grade 3 Operations and Algebraic Thinking ~31-34%, Number and Operations in Base Ten ~22-24%; grade 6 groups Ratios & Proportional Relationships and The Number System ~28-34% and Expressions and Equations ~25-29%). The complete per-grade table could not be retrieved verbatim from a citable primary source (the Cambium content CDN returns HTTP 403 to programmatic fetches), so domain weights in the mapping are left null rather than transcribing partial/uncertain figures or splitting blueprint percentages across the grade-6+ domain groupings.
North Dakota DPI – State Assessment page
North Dakota DPI – Home
North Dakota Department of Agriculture – Ag Mag teacher guide with ND math standards references
Practice by skill
Topics mapped to this domain
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8 free questions · 0/0 correct
Which expression is equivalent to ?
The constants and are like terms: . The term stays the same, so the expression is equivalent to
Simplify: .
Distribute 2: .
Which expression is equivalent to ?
The constants and are like terms: . The term stays the same, so the expression is equivalent to
Simplify: .
Combine: , . Result: .
Which expression is equivalent to ?
The constants and are like terms: . The term stays the same, so the expression is equivalent to
Simplify: .
Distribute 5: .
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: .
Keep practicing
Turn expressions and equations into game time.
The NDSA placement starts with this test's real coverage map and finds the right difficulty.
Source and test overview
Reporting categories
More Grade 6 domains
Ratios and Proportional RelationshipsUnderstands and uses ratio and rate reasoning to solve problems.8 QsPractice →The Number SystemExtends number sense to integers, rational numbers, and arithmetic with them.8 QsPractice →GeometrySolves area, surface area, and coordinate geometry problems.8 QsPractice →Statistics and ProbabilityDevelops statistical thinking about distributions and data displays.8 QsPractice →