Georgia Milestones Algebra II Seeing Structure in Expressions. Practice it free.

Students interpret and rewrite expressions to reveal structure and create equivalent forms. This Algebra II reporting domain maps to 7 practice skills and 8 representative questions from the playable bank.

Algebra II7 mapped skills

What the test measures

Seeing Structure in Expressions skills

Interpret the structure of expressions
Write expressions in equivalent forms to solve problems

Standards basis

Georgia Standards of Excellence (state-adopted content standards) — Georgia

How the Georgia Milestones reports it

Georgia Milestones is Georgia’s own statewide assessment system, aligned to Georgia’s state-adopted content standards rather than a shared national test framework. The official page says it measures knowledge and skills in the state-adopted standards for mathematics across grades 3 through high school ([Georgia Department of Education](https://gadoe.org/assessment-accountability/georgia-milestones/)).

Blueprint & weighting

Not published on the official Georgia Milestones overview page reviewed here.

Official sources

Georgia Department of Education

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playeasy

Which is the completely factored form of $10x^{2} - 15x$ ?

The greatest common factor of $10x^{2}$ and $15x$ is $5x\textsf{.}$ Factoring gives $5x(2x - 3)$ .

Practice playeasy

Which expression is equivalent to $16x^{2} - 49$ ?

$16x^{2} - 49 = (4x)^{2} - 7^{2} = (4x - 7)(4x + 7)$ .

Practice playmedium

Which expression is equivalent to $\dfrac{18m}{t} + 36m$ , where $t > 0$ ?

Write $36m$ with denominator $t$ : $\dfrac{18m}{t} + \dfrac{36mt}{t} = \dfrac{18m + 36mt}{t} = \dfrac{18m(1 + 2t)}{t}$ .

Practice playmedium

Which expression is equivalent to $2x^2 + 4x - 6$ ?

Factor out $2$ first: $2x^2 + 4x - 6 = 2(x^2 + 2x - 3)$ . Then find two numbers with product $-3$ and sum $2$ : $3$ and $-1$ . So $2x^2 + 4x - 6 = 2(x+3)(x-1)$ .

Practice playeasy

$x^{2} + 10x + 25 = (x + a)^{2}$ with $a > 0$ . What is $a$ ?

Half of $10$ is $5$ and $5^{2} = 25$ , so $x^{2} + 10x + 25 = (x + 5)^{2}$ and $a = 5$ .

Practice playeasy

Factor: $x^{2} + 7x + 12$ .

Two numbers that multiply to $12$ and add to $7$ are $3$ and $4$ . So $x^{2} + 7x + 12 = (x + 3)(x + 4)$ .

Practice playmedium

The equation $7x^{2} + 14x - 21 = 0$ holds. What is the value of $x^{2} + 2x\textsf{?}$

Factoring out the GCF $7$ gives $7(x^{2} + 2x - 3) = 0$ . Since $7(0) = 0$ , $x^{2} + 2x - 3 = 0$ . Isolate the desired expression by adding $3$ to both sides: $x^{2} + 2x = 3$ .