NY State Math Algebra II Number & Quantity Practice

What the test measures

Number & Quantity skills

Extend the properties of exponents to rational exponents
Perform arithmetic operations with complex numbers

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%.

Official sources

NYSED Grades 3–8 ELA and Math Test Manuals
NYSED Directions for Administering Regents Examinations
NYSED High School Regents Examinations

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playhard

Multiply: $(5-3i)(-2+i)$ .

Expand: $(5-3i)(-2+i)=-10+5i+6i-3i^{2}$ . Since $i^{2}=-1$ , this is $-10+11i+3=-7+11i\textsf{.}$

Practice playeasy

What is $(4i)^2$ ?

$(4i)^2 = 16i^2 = 16(-1) = -16$ .

Practice playeasy

Given $i = \sqrt{-1}$ , what is $\sqrt{4} + \sqrt{-16}$ ?

$\sqrt{4} = 2$ and $\sqrt{-16} = 4i$ . So $\sqrt{4} + \sqrt{-16} = 2 + 4i$ .

Practice playeasy

Which expression is equivalent to $\sqrt{54}+\sqrt{24}$ ?

$\sqrt{54}=\sqrt{9 \cdot 6}=3\sqrt{6}$ and $\sqrt{24}=\sqrt{4 \cdot 6}=2\sqrt{6}$ . Adding like radical terms gives $3\sqrt{6}+2\sqrt{6}=5\sqrt{6}$ .

Practice playmedium

If $\Large p$ and $\Large q$ are positive, which expression is equivalent to $\Large \sqrt[6]{p^{18} q^{12}}$ ?

Divide each exponent by $\Large 6$ : $\Large p^{\tfrac{18}{6}} q^{\tfrac{12}{6}} = p^3 q^2$ .

Practice playmedium

The safe descent speed, in miles per hour, on a certain ramp can be estimated by multiplying the height of the ramp, in feet, by $50$ and then taking the square root of the product. According to this method, what is the estimated safe descent speed, in miles per hour, on a ramp that is $28$ feet high?

The product is $28 \cdot 50 = 1400$ . Factor $1400 = 100 \cdot 14$ , where $100$ is the largest perfect-square factor. So $\sqrt{1400} = \sqrt{100 \cdot 14} = 10\sqrt{14}$ , and $14 = 2 \cdot 7$ is square-free.