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100+ Free New Jersey NJSLA-Adaptive Math Algebra II Practice Questions

Prepare for the New Jersey Student Learning Assessments-Adaptive Mathematics — Algebra II exam with instant access — no signup required.

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Key Facts: New Jersey NJSLA-Adaptive Math Algebra II Exam

NJDOE

State Agency

New Jersey Department of Education, Office of Assessments

Cambium Assessment, Inc.

Test Provider

NJDOE, NJSLA-Adaptive and NJGPA-Adaptive FAQ

150 min (2 sessions)

Math Time

NJGPA-A and NJSLA-A Units Testing Times

Graphing (Desmos/TI84+)

Calculator

NJDOE Calculator Policy for Mathematics and Science

English and Spanish

Languages

NJDOE NJSLA-Adaptive and NJGPA-Adaptive FAQ

100 practice questions

Practice Bank Size

OpenExamPrep

Prepare for the NJSLA-Adaptive Algebra II test with 100 practice questions covering polynomials, rational and radical expressions, functions, and statistics, with worked calculations and detailed explanations.

Sample New Jersey NJSLA-Adaptive Math Algebra II Practice Questions

Try these sample questions to test your New Jersey NJSLA-Adaptive Math Algebra II exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1A company's profit from selling x items is modeled by P(x) = -0.5(x - 20)(x - 100). Which statement best interprets the factors (x - 20) and (x - 100)?
A.The company breaks even (zero profit) at 20 and 100 items sold.
B.The maximum profit is $0.50 per item sold.
C.The company earns profit only when fewer than 20 items are sold.
D.The profit is $0.50 multiplied by the number of items.
Explanation: Setting each factor equal to zero gives x = 20 and x = 100, the break-even quantities where profit is zero; the -0.5 only scales the parabola's height.
2Which expression is equivalent to 4x² - 49?
A.(2x - 7)(2x + 7)
B.(2x - 7)²
C.(4x - 7)(x + 7)
D.(2x² - 7)(2x² + 7)
Explanation: 4x² - 49 = (2x)² - 7² is a difference of squares, which factors as (2x - 7)(2x + 7).
3The area of a rectangular garden is A(x) = x(30 - 2x), where x is the width in feet. What does the factor (30 - 2x) represent in this context?
A.The length of the garden in feet
B.The perimeter of the garden in feet
C.The width of the garden in feet
D.The area of the garden in square feet
Explanation: Area equals width times length, so with width x the other factor (30 - 2x) must represent the length of the garden in feet.
4Which expression is a perfect-square trinomial?
A.x² + 10x + 25
B.x² + 10x + 10
C.x² - 10x - 25
D.x² + 25
Explanation: x² + 10x + 25 = (x + 5)² because the middle term 10x = 2·x·5 and the last term 25 = 5², satisfying the perfect-square pattern a² + 2ab + b².
5A concert sells x tickets at a price of $(20 - 0.05x) each, so total revenue is R(x) = x(20 - 0.05x). What does the expression (20 - 0.05x) represent?
A.The price per ticket as a function of tickets sold
B.The total revenue from all ticket sales
C.The number of tickets sold
D.The maximum revenue possible
Explanation: Revenue equals number of tickets times price, so the factor (20 - 0.05x) paired with x represents the price per ticket, which decreases as more tickets are sold.
6Which factoring technique applies to x³ - 8?
A.Difference of cubes
B.Difference of squares
C.Perfect square trinomial
D.Factoring by grouping
Explanation: x³ - 8 = x³ - 2³ matches the difference-of-cubes form a³ - b³, since 8 is the cube of 2.
7Factor completely: x³ + 3x² - 4x - 12.
A.(x + 3)(x - 2)(x + 2)
B.(x - 3)(x + 2)(x - 2)
C.(x + 3)(x² - 4)
D.(x - 3)(x² + 4)
Explanation: Grouping gives x²(x + 3) - 4(x + 3) = (x + 3)(x² - 4), and x² - 4 factors further into (x - 2)(x + 2), yielding (x + 3)(x - 2)(x + 2).
8The expression V(t) = 1000(1.05)^t models a bank balance after t years. What does the factor 1.05 represent?
A.The account grows by 5% each year.
B.The account grows by 105% each year.
C.The account earns $1.05 in interest each year.
D.The initial deposit was $1.05.
Explanation: The base 1.05 = 1 + 0.05 means each year the balance retains 100% of itself and grows by an additional 5%, so the account grows by 5% per year.
9Which expression is equivalent to (3x + 5)² - (2x - 1)²?
A.(x + 6)(5x + 4)
B.(x + 4)(5x + 6)
C.(x + 6)(5x - 4)
D.(x - 6)(5x + 4)
Explanation: Using a² - b² = (a - b)(a + b) with a = 3x + 5 and b = 2x - 1 gives (3x + 5 - (2x - 1))(3x + 5 + (2x - 1)) = (x + 6)(5x + 4).
10Which equivalent form of f(x) = 2x² - 12x + 16 most directly reveals the zeros of the function?
A.2(x - 2)(x - 4)
B.2(x - 3)² - 2
C.2x(x - 6) + 16
D.2(x² - 6x + 8)
Explanation: The factored form 2(x - 2)(x - 4) sets each binomial factor to zero to reveal the zeros x = 2 and x = 4 directly.

About the New Jersey NJSLA-Adaptive Math Algebra II Exam

The New Jersey Student Learning Assessments-Adaptive (NJSLA-Adaptive) Mathematics end-of-course Algebra II assessment measures expressions, polynomials and rational expressions, equations and inequalities, functions (including logarithmic and trigonometric), and statistical inference on the 2023 New Jersey Student Learning Standards (NJSLS). It is administered online through the New Jersey Assessments Portal (Cambium Assessment, Inc.) each spring in two adaptive 75-minute sessions, and the Mathematics test is available in English and Spanish. This 100-question practice bank uses four-option MCQs, including worked calculations, as an English-language study adaptation.

Assessment

One Mathematics unit administered in two adaptive 75-minute sessions (150 minutes total) with selected-response, multi-select, and technology-enhanced machine-scorable items only. Delivered online through the New Jersey Assessments Portal (Cambium Assessment, Inc.). Graphing calculators (Desmos graphing and TI84+) are embedded. This local bank contains 100 English four-option practice MCQs.

Time Limit

Mathematics 150 minutes (two 75-minute sessions)

Passing Score

No pass/fail mark. Five performance levels are reported (Level 1 through Level 5). Cut scores are being established through standard setting in 2026 and adopted by the State Board of Education.

Exam Fee

No fee to students (New Jersey Department of Education (NJDOE))

New Jersey NJSLA-Adaptive Math Algebra II Exam Content Outline

NJSLS A.SSE strand

Seeing Structure in Expressions

Interpreting and rewriting complex expressions in equivalent forms.

NJSLS A.APR strand

Arithmetic with Polynomials & Rational Expressions

Zeros and factors, Remainder Theorem, polynomial identities, and rational expressions.

NJSLS A.CED and A.REI strands

Creating & Reasoning with Equations & Inequalities

Creating and solving linear, quadratic, rational, and nonlinear systems.

NJSLS F.IF, F.BF, F.LE, F.TF strands

Functions

Interpreting, building, transforming, and comparing functions incl. logarithms and trig.

NJSLS S.ID, S.IC, S.MD strands

Statistics & Probability

Data interpretation, statistical inference, and probability-based decisions.

How to Pass the New Jersey NJSLA-Adaptive Math Algebra II Exam

What You Need to Know

  • Passing score: No pass/fail mark. Five performance levels are reported (Level 1 through Level 5). Cut scores are being established through standard setting in 2026 and adopted by the State Board of Education.
  • Assessment: One Mathematics unit administered in two adaptive 75-minute sessions (150 minutes total) with selected-response, multi-select, and technology-enhanced machine-scorable items only. Delivered online through the New Jersey Assessments Portal (Cambium Assessment, Inc.). Graphing calculators (Desmos graphing and TI84+) are embedded. This local bank contains 100 English four-option practice MCQs.
  • Time limit: Mathematics 150 minutes (two 75-minute sessions)
  • Exam fee: No fee to students

Keys to Passing

  • Work through all 100 available questions
  • Review every answer and explanation
  • Track weak areas and revisit them
  • Use our AI tutor for tough concepts

New Jersey NJSLA-Adaptive Math Algebra II Study Tips from Top Performers

1Factor out the GCF before attempting other factoring strategies on polynomials.
2Find the domain of a rational function by setting the denominator equal to zero before solving.
3Convert between exponential and logarithmic forms using b^y = x iff log_b(x) = y.
4Check inverse functions by confirming f(g(x)) = x and g(f(x)) = x.
5Match a residual plot's pattern to whether a linear model is an appropriate fit.

Frequently Asked Questions

What is the NJSLA-Adaptive Algebra II test?

It is the New Jersey Student Learning Assessments-Adaptive Mathematics end-of-course assessment for Algebra II, administered online through the New Jersey Assessments Portal (Cambium Assessment, Inc.) each spring in two 75-minute adaptive sessions of machine-scorable items.

Are calculators allowed on the NJSLA-Adaptive Algebra II test?

Yes. For all end-of-course assessments, students have access to graphing calculators (Desmos graphing and TI84+) embedded in the testing platform.

How many questions are on the real NJSLA-Adaptive Algebra II test?

Because the test is computer-adaptive, the exact items vary by student. The assessment is one Mathematics unit in two 75-minute sessions of machine-scorable selected-response, multi-select, and technology-enhanced items, with no extended-response items. Official blueprint item counts are set during standard setting in 2026.

Is the NJSLA-Adaptive Algebra II test available in Spanish?

Yes. The mathematics assessment is available in English and Spanish. The ELA assessment is English only.

Is this practice bank affiliated with NJDOE?

No. This is an independent study resource aligned to the public 2023 NJSLS. It uses four-option MCQs as a study adaptation; it is not an official NJSLA-Adaptive product or format simulation.