NJSLA Algebra I Seeing Structure in Expressions. Practice it free.

Interpret the structure of expressions and write expressions in equivalent forms to solve problems. This Algebra I reporting domain maps to 7 practice skills and 8 representative questions from the playable bank.

Algebra IA-SSE7 mapped skills

What the test measures

Seeing Structure in Expressions skills

A-SSE.A.1 Interpret expressions that represent a quantity in terms of its context
A-SSE.A.2 Use the structure of an expression to identify ways to rewrite it
A-SSE.B.3 Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression
A-SSE.B.3a Factor a quadratic expression to reveal the zeros of the function it defines
A-SSE.B.3b Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines
A-SSE.B.4 Derive the formula for the sum of a finite geometric series

Standards basis

New Jersey Student Learning Standards for Mathematics (NJSLS-M), aligned to Common Core State Standards for Mathematics (CCSS-M) — New Jersey

How the NJSLA reports it

NJSLA math is built on the New Jersey Student Learning Standards for Mathematics, which closely follow the Common Core domain structure and progressions. The assessment is organized by grade-level and end-of-course reporting aligned to those standards rather than by a separate proprietary framework.

Blueprint & weighting

NJDOE publishes statewide assessment administration information and grade/course coverage, but no official public math-domain weighting blueprint was located in the retrieved primary materials.

Official sources

New Jersey Department of Education - Assessment
New Jersey Department of Education - 2023 NJSLS-Mathematics
NJDOE - Statewide Assessment Testing Schedule 2026-27

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playeasy

Which is a factored form of $x^2 - 8x + 15$ ?

Find two numbers with product $15$ and sum $-8$ : $-3$ and $-5$ . So $x^2 - 8x + 15 = (x-3)(x-5)$ .

Practice playmedium

Which is the completely factored form of $12x^{2} + 8x$ ?

The greatest common factor of $12x^{2}$ and $8x$ is $4x\textsf{.}$ Factoring gives $4x(3x + 2)$ .

Practice playeasy

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

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

Practice playeasy

Which expression is equivalent to $\dfrac{28z}{f} + 28z$ , where $f > 0$ ?

Write $28z$ with denominator $f$ : $\dfrac{28z}{f} + \dfrac{28zf}{f} = \dfrac{28z + 28zf}{f} = \dfrac{28z(f + 1)}{f}$ .

Practice playeasy

In the factorization $x^{3} - 125 = (x - 5)(x^{2} + 5x + c)$ , what is $c$ ?

Difference of cubes: $x^{3} - 125 = (x - 5)(x^{2} + 5x + 25)$ , so $c = 5^{2} = 25$ .

Practice playeasy

Factor: $x^{2} - 25$ .

$x^{2} - 25$ is a difference of squares: $x^{2} - 5^{2}$ . So $x^{2} - 25 = (x + 5)(x - 5)$ .

Practice playmedium

If $3x^{2} - 12x = 9$ , what is the value of $x^{2} - 4x\textsf{?}$

Divide both sides by $3$ : $x^{2} - 4x = 3$ .

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 $2x^2 + 4x - 6 = 2(x+3)(x-1)$ .