SOL Algebra I Expressions and Operations. Practice it free.

Students simplify, evaluate, and transform algebraic expressions and use properties of real numbers. This Algebra I reporting domain maps to 16 practice skills and 8 representative questions from the playable bank.

Algebra I16 mapped skills

What the test measures

Expressions and Operations skills

exponents and radicals
polynomials and factoring
properties of operations
simplifying expressions

Standards basis

Virginia Mathematics Standards of Learning — Virginia

How the SOL reports it

Virginia SOL math is a state-specific assessment program built around the Virginia Mathematics Standards of Learning rather than a shared national test framework. It is aligned to Virginia grade-level and course standards, which are generally CCSS-like in organization but are published as Virginia-specific standards.

Blueprint & weighting

SOL uses the Independent / state-specific framework (by grade domains structure).

Official sources

Virginia Department of Education
VDOE — Standards of Learning for Mathematics (2023 SOL grade/course standards and assessment blueprints)
VDOE — SOL Test Blueprints (per-reporting-category item counts live inside the individual grade/EOC blueprint PDFs)

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playeasy

Which expression is equivalent to $\sqrt{80}+\sqrt{45}$ ?

$\sqrt{80}=\sqrt{16 \cdot 5}=4\sqrt{5}$ and $\sqrt{45}=\sqrt{9 \cdot 5}=3\sqrt{5}$ . Adding like radical terms gives $4\sqrt{5}+3\sqrt{5}=7\sqrt{5}$ .

Practice playmedium

Which is the completely factored form of $16x^{3} + 24x^{2} - 8x$ ?

The greatest common factor of $16x^{3}$ , $24x^{2}$ , and $8x$ is $8x\textsf{.}$ Factoring gives $8x(2x^{2} + 3x - 1)$ .

Practice playeasy

Which expression is equivalent to $25x^{2} - 36$ ?

$25x^{2} - 36 = (5x)^{2} - 6^{2} = (5x - 6)(5x + 6)$ .

Practice playmedium

Which expression is equivalent to $\dfrac{35v}{k} + 70v$ , where $k > 0$ ?

Write $70v$ with denominator $k$ : $\dfrac{35v}{k} + \dfrac{70vk}{k} = \dfrac{35v + 70vk}{k} = \dfrac{35v(1 + 2k)}{k}$ .

Practice playeasy

$x^{3} + 27 = (x + 3)(x^{2} - 3x + c)$ . What is $c$ ?

Sum of cubes: $x^{3} + 27 = (x + 3)(x^{2} - 3x + 9)$ , so $c = 3^{2} = 9$ .

Practice playeasy

Factor: $x^{2} - x - 12$ .

Two numbers that multiply to $-12$ and add to $-1$ are $3$ and $-4$ . So $x^{2} - x - 12 = (x + 3)(x - 4)$ .

Practice playeasy

Which expression is equivalent to $(2yz)(5y)(4)\textsf{?}$

Multiply the coefficients: $2 \cdot 5 \cdot 4 = 40\textsf{.}$ Add the exponents on $y$ : $y^{1+1} = y^{2}\textsf{.}$ The factor $z$ appears once, so the product is $40y^{2}z\textsf{.}$

Practice playmedium

Simplify: $(2x^2 + 7x + 1) + (-x^2 + 2x - 4)\textsf{.}$

Combine $x^2$ terms: $2x^2 - x^2 = x^2\textsf{.}$ Combine $x$ terms: $7x + 2x = 9x\textsf{.}$ Combine constants: $1 - 4 = -3\textsf{.}$ Result: $x^2 + 9x - 3\textsf{.}$