PARCC Algebra II Seeing Structure in Expressions Practice

Seeing Structure in Expressions skills

Interpret the structure of expressions

Write expressions in equivalent forms to solve problems

Standards basis

Common Core State Standards for Mathematics (CCSS-M) / PARCC Model Content Frameworks — national

How the PARCC reports it

PARCC was a multistate assessment system built around the Common Core-era PARCC mathematics model content frameworks rather than a separate proprietary standards set. Its math structure is organized by grade/course and aligned to CCSS-M content categories and model content frameworks.

Blueprint & weighting

No single published PARCC weighting table was located in the accessible sources used here.

Official sources

PARCC Assessment
Common Core State Standards Initiative

8 free questions · 0/0 correct

Practice playmedium

Which is the completely factored form of $18x^{3} + 12x^{2}$ ?

The greatest common factor of $18x^{3}$ and $12x^{2}$ is $6x^{2}\textsf{.}$ Factoring gives $6x^{2}(3x + 2)$ .

Practice playeasy

Which expression is equivalent to $9x^{2} - 25$ ?

$9x^{2} - 25 = (3x)^{2} - 5^{2} = (3x - 5)(3x + 5)$ .

Practice playeasy

Which expression is equivalent to $\dfrac{24n}{w} + 24n$ , where $w > 0$ ?

Write $24n$ with denominator $w$ : $\dfrac{24n}{w} + \dfrac{24nw}{w} = \dfrac{24n + 24nw}{w} = \dfrac{24n(w + 1)}{w}$ .

Practice playeasy

$x^2 - 49 = 0$ . What is the positive root?

$x^2 - 49 = (x - 7)(x + 7) = 0$ , so $x = 7$ or $x = -7$ . The positive root is $7$ .

Practice playeasy

Factor: $x^{2} - 5x - 14$ .

Two numbers that multiply to $-14$ and add to $-5$ are $-7$ and $2$ . So $x^{2} - 5x - 14 = (x - 7)(x + 2)$ .

Practice playmedium

If $4x^{2} - 16x + 8 = 0$ , what is $x^{2} - 4x\textsf{?}$

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

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 $x^2 - x - 20 = (x+4)(x-5)$ .

Practice playmedium

Which is the completely factored form of $20x^{2} - 30x$ ?

The greatest common factor of $20x^{2}$ and $30x$ is $10x\textsf{.}$ Factoring gives $10x(2x - 3)$ .

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

Seeing Structure in Expressions skills

Interpret the structure of expressions

Write expressions in equivalent forms to solve problems

Topics mapped to this domain

Common factor factoring (SAT)

Difference of squares factoring

Equivalent rational expressions (SAT)

Factoring patterns

Factoring quadratics

Quadratic expression values from equations

Factoring quadratic expressions (ACT)

8 free questions · 0/0 correct

Turn seeing structure in expressions into game time.

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