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 9 practice skills and 8 representative questions from the playable bank.

Algebra IA-SSE9 mapped skills
What the test measures

Seeing Structure in Expressions skills

  1. A-SSE.A.1 Interpret expressions that represent a quantity in terms of its context

  2. A-SSE.A.2 Use the structure of an expression to identify ways to rewrite it

  3. 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

  4. A-SSE.B.3a Factor a quadratic expression to reveal the zeros of the function it defines

  5. A-SSE.B.3b Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines

  6. 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.

Practice by skill

Topics mapped to this domain

Factoring quadratic expressions (ACT)

Grade 910 questions

Standard form to vertex form (ACT/SAT)

Grade 915 questions

Common factor factoring (SAT)

Grade 910 questions

Difference of squares factoring

Grade 910 questions

Equivalent rational expressions (SAT)

Grade 910 questions

Factoring patterns

Grade 915 questions

Factoring quadratics

Grade 930 questions

Quadratic expression values from equations

Grade 910 questions

Quadratic factoring patterns (ACT/SAT)

Grade 910 questions
Try it now

8 free questions · 0/0 correct

Practice playeasy

Which is a factored form of x2−8x+15x^2 - 8x + 15?

Find two numbers with product 1515 and sum −8-8: −3-3 and −5-5. So x2−8x+15=(x−3)(x−5)x^2 - 8x + 15 = (x-3)(x-5).

Practice playeasy

Use completing the square to rewrite the equation in vertex form.

y=−x2+6x−5y = -x^{2} + 6x - 5

Select the vertex form of the equation.

Factor out −1-1 from the xx terms, then complete the square: y=−(x2−6x+9−9)−5=−((x−3)2−9)−5=−(x−3)2+4.y = -(x^{2} - 6x + 9 - 9) - 5 = -((x - 3)^{2} - 9) - 5 = -(x - 3)^{2} + 4\textsf{.} The constant 44 is the maximum value of y.y\textsf{.}

Practice playmedium

Which is the completely factored form of 12x2+8x12x^{2} + 8x?

The greatest common factor of 12x212x^{2} and 8x8x is 4x.4x\textsf{.} Factoring gives 4x(3x+2)4x(3x + 2).

Practice playeasy

Which expression is equivalent to 49−x249 - x^{2}?

49−x2=72−x2=(7−x)(7+x)49 - x^{2} = 7^{2} - x^{2} = (7 - x)(7 + x).

Practice playeasy

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

Write 28z28z with denominator ff: 28zf+28zff=28z+28zff=28z(f+1)f\dfrac{28z}{f} + \dfrac{28zf}{f} = \dfrac{28z + 28zf}{f} = \dfrac{28z(f + 1)}{f}.

Practice playeasy

In the factorization x3−125=(x−5)(x2+5x+c)x^{3} - 125 = (x - 5)(x^{2} + 5x + c), what is cc?

Difference of cubes: x3−125=(x−5)(x2+5x+25)x^{3} - 125 = (x - 5)(x^{2} + 5x + 25), so c=52=25c = 5^{2} = 25.

Practice playeasy

Factor: x2−25x^{2} - 25.

x2−25x^{2} - 25 is a difference of squares: x2−52x^{2} - 5^{2}. So x2−25=(x+5)(x−5)x^{2} - 25 = (x + 5)(x - 5).

Practice playmedium

If 3x2−12x=93x^{2} - 12x = 9, what is the value of x2−4x?x^{2} - 4x\textsf{?}

Divide both sides by 33: x2−4x=3x^{2} - 4x = 3.

Keep practicing

Turn seeing structure in expressions into game time.

The NJSLA placement starts with this test's real coverage map and finds the right difficulty.

Batting Cage game coverBatting CagePlay →Blossom Leap game coverBlossom LeapPlay →Buzzer Beater game coverBuzzer BeaterPlay →Minecart Junction game coverMinecart JunctionPlay →
Related Common Core standards
HSA.SSE.A.2
Seeing Structure in Expressions in other NJSLA grades
Algebra II
The same skills on other tests
DC CAPEGeorgia MilestonesPARCC
Source and test overview
All NJSLA prepOfficial test source
Reporting categories

More Algebra I domains

The Real Number SystemExtend the properties of exponents to rational exponents and use properties of radicals and integer exponents.8 QsPractice →QuantitiesReason quantitatively and use units to solve problems.8 QsPractice →Arithmetic with Polynomials and Rational ExpressionsPerform arithmetic operations on polynomials and understand the relationship between zeros and factors.8 QsPractice →Creating EquationsCreate equations that describe numbers or relationships.8 QsPractice →Reasoning with Equations and InequalitiesUnderstand solving equations as a process of reasoning and explain the reasoning; solve equations and inequalities in one variable; solve systems of equations; represent and solve equations and inequalities graphically.8 QsPractice →Interpreting FunctionsUnderstand the concept of a function and use function notation; interpret functions that arise in applications in terms of the context; analyze functions using different representations.8 QsPractice →