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

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

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Key Facts: New Jersey NJSLA-Adaptive Math Algebra I 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 I test with 100 practice questions covering expressions, polynomials, equations, functions, and data, with worked calculations and detailed explanations.

Sample New Jersey NJSLA-Adaptive Math Algebra I Practice Questions

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

1The expression 5p + 3 represents the total cost, in dollars, of buying p pens at $5 each plus a $3 shipping fee. What does the 3 represent in this context?
A.The cost per pen
B.The fixed shipping fee
C.The number of pens
D.The total cost
Explanation: In 5p + 3, the term 5p varies with the number of pens (variable cost) while 3 is a constant added regardless of p. It is the fixed $3 shipping fee that does not depend on how many pens are bought.
2Which expression is equivalent to 3(x - 2) + 4x?
A.7x - 6
B.7x - 2
C.7x + 2
D.3x - 6
Explanation: Distribute first: 3(x - 2) = 3x - 6. Then combine the x-terms: 3x + 4x = 7x. The simplified expression is 7x - 6.
3Which expression is equivalent to x^2 - 49?
A.(x - 7)^2
B.(x - 7)(x + 7)
C.(x - 7)(x - 7)
D.(x + 7)^2
Explanation: x^2 - 49 is a difference of squares of the form a^2 - b^2 = (a - b)(a + b), with a = x and b = 7. So x^2 - 49 = (x - 7)(x + 7).
4Which expression is equivalent to x^4 - y^4?
A.(x^2 - y^2)(x^2 + y^2)
B.(x - y)^4
C.(x^2 - y^2)^2
D.(x + y)^2(x - y)^2
Explanation: Viewing x^4 - y^4 as (x^2)^2 - (y^2)^2, it is a difference of squares: (x^2 - y^2)(x^2 + y^2). The first factor can factor further into (x - y)(x + y), but the listed form is already a valid equivalent.
5The function f(x) = x^2 - 5x + 6 is written in factored form as (x - 2)(x - 3). What are the zeros of f?
A.x = 2 and x = 3
B.x = -2 and x = -3
C.x = 5 and x = 6
D.x = 6 and x = -1
Explanation: In factored form (x - 2)(x - 3), the function equals zero when either factor is zero: x - 2 = 0 gives x = 2, and x - 3 = 0 gives x = 3. So the zeros are x = 2 and x = 3.
6Which equivalent form of f(x) = x^2 - 6x + 10 reveals the minimum value of the function?
A.(x - 3)^2 + 1
B.(x + 3)^2 + 1
C.(x - 3)^2 + 19
D.(x - 6)^2 - 26
Explanation: Complete the square: x^2 - 6x + 10 = (x^2 - 6x + 9) - 9 + 10 = (x - 3)^2 + 1. Since a square is never negative, the minimum occurs at x = 3 with value 1, so the vertex form (x - 3)^2 + 1 reveals the minimum.
7Which expression is equivalent to (x^3)^4?
A.x^7
B.x^12
C.x^81
D.4x^3
Explanation: When a power is raised to another power, multiply the exponents: (x^3)^4 = x^(3*4) = x^12.
8An amount grows according to P(t) = 500(1.04)^t. Which equivalent expression most directly shows the annual percent increase?
A.500(1 + 0.04)^t
B.500(0.04)^t
C.500 + 500(0.04)^t
D.500(1.04t)
Explanation: Writing the base 1.04 as 1 + 0.04 makes the 4% growth rate explicit: each year the amount is 104% of the previous year, i.e., 4% more. So 500(1.04)^t = 500(1 + 0.04)^t.
9Which expression is equivalent to 6x^2 + 9x?
A.3x(2x + 3)
B.3(2x^2 + 3x)
C.3x(2x + 9)
D.6x(x + 9)
Explanation: The greatest common factor of 6x^2 and 9x is 3x. Factoring it out gives 3x(2x + 3), since 3x * 2x = 6x^2 and 3x * 3 = 9x.
10Which expression is equivalent to x^2 + 10x + 25?
A.(x + 5)^2
B.(x - 5)^2
C.(x + 10)^2
D.(x + 5)(x - 5)
Explanation: x^2 + 10x + 25 is a perfect square trinomial: the first and last terms are x^2 and 5^2, and the middle term 10x equals 2 * x * 5. So it factors as (x + 5)^2.

About the New Jersey NJSLA-Adaptive Math Algebra I Exam

The New Jersey Student Learning Assessments-Adaptive (NJSLA-Adaptive) Mathematics end-of-course Algebra I assessment measures expressions, polynomials, equations and inequalities, functions, and data proficiency 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 I Exam Content Outline

NJSLS A.SSE strand

Seeing Structure in Expressions

Interpreting expressions and writing equivalent forms to solve problems.

NJSLS A.APR strand

Arithmetic with Polynomials & Rational Expressions

Operations on polynomials and the zeros-and-factors relationship.

NJSLS A.CED and A.REI strands

Creating & Reasoning with Equations & Inequalities

Creating equations/inequalities and solving linear, system, and quadratic equations.

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

Functions

Interpreting, building, and comparing linear, quadratic, and exponential functions.

NJSLS S.ID strand

Statistics & Probability

Summarizing and interpreting bivariate data and linear models.

How to Pass the New Jersey NJSLA-Adaptive Math Algebra I 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 I Study Tips from Top Performers

1Distribute the negative sign carefully when subtracting polynomials term by term.
2Factor quadratics by first multiplying the leading coefficient by the constant, then find the factor pair that sums to the middle term.
3Check a proposed solution by substituting it back into the original equation.
4Identify a function's key features (intercepts, max/min, end behavior) from its graph before calculating.
5Tell linear from exponential growth by checking whether the graph curves upward or grows by a constant slope.

Frequently Asked Questions

What is the NJSLA-Adaptive Algebra I test?

It is the New Jersey Student Learning Assessments-Adaptive Mathematics end-of-course assessment for Algebra I, 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 I 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 I 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 I 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.