SOL Grades 6-8 Patterns, Functions, and Algebra Practice

What the test measures

Patterns, Functions, and Algebra skills

patterns and sequences
expressions, equations, and inequalities
functions and graphing
proportional and linear relationships

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

What is $3^{4}\textsf{?}$

$3^{4} = 3 \cdot 3 \cdot 3 \cdot 3 = 81\textsf{.}$

Practice playeasy

Write $6 \times 6 \times 6$ using an exponent.

The base $6$ appears $3$ times as a factor, so $6 \times 6 \times 6 = 6^{3}$ .

Practice playeasy

Evaluate: $4 + 7 \cdot 9 - 3$ .

Multiply first: $7 \cdot 9 = 63$ . Then $4 + 63 - 3 = 64$ .

Practice playeasy

What is $3^2$ ?

$\,3^2 = 3 \cdot 3 = 9$ .

Practice playeasy

What is the slope of the line $y = \dfrac{3}{2}x + 2$ ?

In $y = mx + b$ , the slope is $m = \dfrac{3}{2}$ .

Practice playmedium

Consider the linear function $t$ given by $t(x) = nx + 150$ , where $n$ is a constant. Knowing that $t(10) = 80$ , determine $t(20)$ .

Substitute $x = 10$ : $10n + 150 = 80$ , so $10n = -70$ and $n = -7$ . The rule is $t(x) = -7x + 150$ , so $t(20) = -7(20) + 150 = -140 + 150 = 10$ .

Practice playeasy

An amusement park charges $\text{\char36}12$ for admission and $\text{\char36}3$ for each ride. Let $x$ be the number of rides and $y$ be the total cost in dollars. Which equation models the situation?