NY State Math Grades 3–8 Expressions and Equations. Practice it free.

The test asks students to apply and extend arithmetic, reason about expressions and equations, and solve linear equations and inequalities. This Grades 3–8 reporting domain maps to 6 practice skills and 8 representative questions from the playable bank.

Grades 3–86 mapped skills
What the test measures

Expressions and Equations skills

  1. Apply and extend previous understandings of arithmetic to algebraic expressions

  2. Reason about and solve one-variable equations and inequalities

  3. Represent and analyze quantitative relationships between dependent and independent variables

  4. Use properties of operations to generate equivalent expressions

Standards basis

New York State Learning Standards / New York State Next Generation Learning Standards (NGLS) — New York

How the NY State Math reports it

New York’s Grades 3–8 math tests and Regents math exams are state-developed assessments rather than a shared national framework. The grades 3–8 exams are aligned to New York State learning standards, and the Regents math sequence includes Algebra I, Geometry, and Algebra II, with the June 2026 Algebra II exam explicitly based on the New York State Next Generation Learning Standards.

Blueprint & weighting

Grades 3–8: the official page and the retrieved administration guide describe item/credit structure and timing, but no published domain-by-domain blueprint weighting was located in the primary sources used here. Regents (high school): NYSED publishes a per-conceptual-category 'percent of test by credit' blueprint for each course in its Educator Guides. Algebra I — Number & Quantity 4%–10%, Algebra 48%–61%, Functions 24%–32%, Statistics & Probability 7%–15%. Geometry (single conceptual category, by domain) — Congruence (G-CO) 27%–34%, Similarity, Right Triangles, & Trigonometry (G-SRT) 29%–37%, Circles (G-C) 2%–8%, Expressing Geometric Properties with Equations (G-GPE) 12%–18%, Geometric Measurement & Dimensions (G-GMD) 2%–8%, Modeling with Geometry (G-MG) 8%–15%. Algebra II — Number & Quantity 4%–8%, Algebra 30%–39%, Functions 38%–45%, Statistics & Probability 14%–22%.

Try it now

8 free questions · 0/0 correct

Practice playeasy

Which expression is equivalent to 10+t2410 + t^{2} - 4?

The constants 1010 and 4-4 are like terms: 104=610 - 4 = 6. The term t2t^{2} stays the same, so the expression is equivalent to t2+6.t^{2} + 6\textsf{.}

Practice playeasy

Simplify: 3x10+5x+2-3x - 10 + 5x + 2.

Combine: 3x+5x=2x-3x + 5x = 2x, 10+2=8-10 + 2 = -8. Result: 2x82x - 8.

Practice playeasy

What is 25?2^{5}\textsf{?}

25=22222=32.2^{5} = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 = 32\textsf{.}

Practice playeasy

Write 2×2×2×2×22 \times 2 \times 2 \times 2 \times 2 using an exponent.

The base 22 appears 55 times as a factor, so 2×2×2×2×2=252 \times 2 \times 2 \times 2 \times 2 = 2^{5}.

Practice playeasy

Evaluate: 9+5449 + 5 \cdot 4 - 4.

Multiply first: 54=205 \cdot 4 = 20. Then 9+204=259 + 20 - 4 = 25.

Practice playeasy

What is 131^3?

13=111=1\,1^3 = 1 \cdot 1 \cdot 1 = 1.

Practice playeasy

Which expression is equivalent to 157+r215 - 7 + r^{2}?

The constants 1515 and 7-7 are like terms: 157=815 - 7 = 8. The term r2r^{2} stays the same, so the expression is equivalent to r2+8.r^{2} + 8\textsf{.}

Practice playeasy

Simplify: 5(9x5)5(9x - 5).

Distribute 5: 59x+55=45x255 \cdot 9x + 5 \cdot -5 = 45x - 25.

Keep practicing

Turn expressions and equations into game time.

The NY State Math placement starts with this test's real coverage map and finds the right difficulty.