NJSLA Algebra II Seeing Structure in Expressions Practice

Seeing Structure in Expressions skills

A.SSE.A.1-2 Structure and rewriting

A.SSE.B.3-4 Quadratic form, completing the square, and 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

8 free questions · 0/0 correct

Practice playeasy

Which expression is equivalent to $x^2 + 7x + 12$ ?

Find two numbers with product $12$ and sum $7$ : $3$ and $4$ . So $x^2 + 7x + 12 = (x+3)(x+4)$ .

Practice playmedium

Which is the completely factored form of $14x^{2} + 21x$ ?

The greatest common factor of $14x^{2}$ and $21x$ is $7x\textsf{.}$ Factoring gives $7x(2x + 3)$ .

Practice playeasy

Which expression is equivalent to $x^{2} - 64$ ?

$x^{2} - 64 = x^{2} - 8^{2} = (x - 8)(x + 8)$ .

Practice playeasy

Which expression is equivalent to $\dfrac{15p}{r} + 15p$ , where $r > 0$ ?

Write $15p$ with denominator $r$ : $\dfrac{15p}{r} + \dfrac{15pr}{r} = \dfrac{15p + 15pr}{r} = \dfrac{15p(r + 1)}{r}$ .

Practice playeasy

If $x^{2} - 14x + 49 = (x - a)^{2}$ with $a > 0$ , find $a$ .

Half of $14$ is $7$ and $7^{2} = 49$ , so $x^{2} - 14x + 49 = (x - 7)^{2}$ and $a = 7$ .

Practice playeasy

Factor: $x^{2} - 3x + 2$ .

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

Practice playmedium

The equation $5x^{2} - 20x + 15 = 0$ is true. What is $x^{2} - 4x\textsf{?}$

Factoring out the GCF $5$ gives $5(x^{2} - 4x + 3) = 0$ . Since $5(0) = 0$ , $x^{2} - 4x + 3 = 0$ . Isolate the desired expression by subtracting $3$ from both sides: $x^{2} - 4x = -3$ .

Practice playeasy

Which is a factored form of $x^2 - x - 20$ ?

Find two numbers with product $-20$ and sum $-1$ : $4$ and $-5$ . So $x^2 - x - 20 = (x+4)(x-5)$ .

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

Seeing Structure in Expressions skills

A.SSE.A.1-2 Structure and rewriting

A.SSE.B.3-4 Quadratic form, completing the square, and geometric series

Topics mapped to this domain

Factoring quadratic expressions (ACT)

Common factor factoring (SAT)

Difference of squares factoring

Equivalent rational expressions (SAT)

Factoring patterns

Factoring quadratics

Quadratic expression values from equations

8 free questions · 0/0 correct

Turn seeing structure in expressions into game time.

More Algebra II domains