NJSLA – New Jersey Student Learning Assessment — Questions and Answers

Question 1: On a number line, which value is closest to √50?

8
25
6
7 (Correct answer)

Correct answer: 7

Since 7² = 49 and 8² = 64, √50 ≈ 7.07, making 7 the closest whole number.

Question 2: A taxi service charges a flat fee of $3.00 plus an additional $2.50 per mile. Which expression represents the total cost, in dollars, for a ride of m miles?

3 + 2.50m (Correct answer)
3m + 2.50
(3 + 2.50)m
5.50m

Correct answer: 3 + 2.50m

The total cost is the sum of the one-time flat fee and the variable cost that depends on the miles traveled. The flat fee is a constant $3.00. The per-mile cost is $2.50 multiplied by the number of miles, *m*, which is written as 2.50m. Therefore, the correct expression is 3 + 2.50m.

Question 3: On a coordinate plane, Point A is at (−3, 4) and Point B is at (2, 4). What is the distance between them?

5 units (Correct answer)
8 units
7 units
1 unit

Correct answer: 5 units

Both points share the same y-coordinate, so distance = |2 − (−3)| = 5 units.

Question 4: A store sells notebooks for $3.75 each and pens for $1.25 each. Maria buys 4 notebooks and 6 pens. If she pays with a $25 bill, how much change does she receive?

$3.25
$2.50 (Correct answer)
$5.00
$7.50

Correct answer: $2.50

4 × $3.75 = $15.00 and 6 × $1.25 = $7.50, so total = $22.50 and change = $25.00 − $22.50 = $2.50.

Question 5: What is the NJSLS-VPA's primary objective?

Emphasizing the process-oriented nature of arts and arts learning (Correct answer)
Emphasizing theoretical understanding of arts discipline
Limiting creativity in the arts
Promoting memorization-based learning

Correct answer: Emphasizing the process-oriented nature of arts and arts learning

The primary objective of the NJSLS-VPA is to foster a deep understanding and engagement with the arts through active participation and exploration. These standards emphasize the creative process, encouraging students to experiment, create, and reflect on their artistic journey rather than solely focusing on memorization or theoretical knowledge. This approach develops critical thinking, problem-solving, and self-expression through hands-on learning.

Question 6: On a dot plot, several dots are stacked at the value 7, and the rest are spread between 1 and 5. What does the cluster at 7 suggest?

7 is the only value recorded.
7 is an outlier far from the rest of the data.
7 is the most frequent value in the data set. (Correct answer)
7 is the mean of the data set.

Correct answer: 7 is the most frequent value in the data set.

A stack of dots at a single value on a dot plot shows that value was observed multiple times, making it the most frequent.

Question 7: What is the greatest common factor (GCF) of 12x³ and 8x²?

4x² (Correct answer)
2x
8x²
4x³

Correct answer: 4x²

GCF of 12 and 8 is 4; GCF of x³ and x² is x²; so GCF = 4x².

Question 8: In narrative writing, what is the function of internal monologue?

To summarize the events that occurred before the story begins.
To provide factual background information about the setting.
To describe other characters from a neutral perspective.
To reveal a character's private thoughts and feelings directly to the reader. (Correct answer)

Correct answer: To reveal a character's private thoughts and feelings directly to the reader.

Internal monologue gives readers direct access to a character's inner world, deepening characterization and emotional engagement.

Question 9: Which of the following best describes 'pacing' in a narrative?

The use of rhyme and rhythm in descriptive sentences.
The speed at which events unfold and how time is controlled throughout the story. (Correct answer)
The order in which events are presented from beginning to end.
The number of characters introduced in each chapter.

Correct answer: The speed at which events unfold and how time is controlled throughout the story.

Pacing refers to how quickly or slowly a narrative moves through events, controlled through detail, sentence length, and scene selection.

Question 10: In the algebraic expression 7y - 4z + 12, which statement is true?

y is a constant.
-4 is a variable.
12 is a coefficient.
The expression contains three terms. (Correct answer)

Correct answer: The expression contains three terms.

Terms in an algebraic expression are separated by addition or subtraction signs. The expression 7y - 4z + 12 has three distinct parts separated by these signs: 7y, -4z, and 12. Therefore, it has three terms. A coefficient is a number multiplied by a variable (like 7 and -4), a constant is a number by itself (12), and a variable is a letter representing an unknown value (y and z).

Question 11: A character in a novel holds rigid, traditional beliefs but gradually opens her mind after befriending someone from a different background. This character is best classified as:

An antagonist
A dynamic character (Correct answer)
A static character
A flat character

Correct answer: A dynamic character

A dynamic character undergoes significant internal change during the course of the story.

Question 12: Two parallel lines are intersected by a transversal line. If the measure of one of the alternate interior angles is 55°, what is the measure of its consecutive interior angle?

55°
125° (Correct answer)
35°
90°

Correct answer: 125°

When two parallel lines are cut by a transversal, consecutive interior angles are supplementary, meaning their sum is 180°. If one angle is 55°, its consecutive interior angle is 180° - 55° = 125°. Alternate interior angles are congruent, but the question asks for the consecutive interior angle.

Question 13: What is the surface area of a cube with edge length 5 cm?

150 cm² (Correct answer)
100 cm²
25 cm²
125 cm²

Correct answer: 150 cm²

A cube has 6 faces, each with area 5² = 25 cm², so total surface area = 6 × 25 = 150 cm².

Question 14: The manual stated, 'Before assembling the bookcase, it is imperative to read all instructions carefully. Unlike optional steps that can be skipped, this first step is absolutely essential.' Based on the context, what does the word 'imperative' mean?

Suggested
Complicated
Unimportant
Vital (Correct answer)

Correct answer: Vital

The sentence provides a contrast clue. It states that reading the instructions is 'imperative' and then contrasts this with 'optional steps that can be skipped'. The phrase 'absolutely essential' acts as a synonym or restatement, directly clarifying that 'imperative' means something is required and vital.

Question 15: What is the value of the expression 4x² - 3x + 1 when x = -2?

19
3
23 (Correct answer)
11

Correct answer: 23

Substitute x = -2: 4(4) - 3(-2) + 1 = 16 + 6 + 1 = 23.

Question 16: Which property is used when rewriting 5(x + 3) as 5x + 15?

Distributive property (Correct answer)
Identity property
Associative property
Commutative property

Correct answer: Distributive property

The distributive property states that a(b + c) = ab + ac.

Question 17: A student is tasked with writing a research report and finds two articles on the same topic. Article A is a peer-reviewed study published in a scientific journal. Article B is a blog post written by an anonymous author. Which of the following is the most important factor for the student to consider when evaluating the credibility of these sources?

The length of each article.
The number of comments on the blog post.
The author's expertise and the publication's reputation. (Correct answer)
The visual design and layout of the web pages.

Correct answer: The author's expertise and the publication's reputation.

When comprehending and using informational texts, especially for research, evaluating the source's credibility is crucial. A peer-reviewed scientific journal has a rigorous review process by experts in the field, making it a highly credible source. An anonymous blog post lacks accountability and verifiable expertise. Therefore, the author's credentials and the publisher's reputation are the most critical factors.

Question 18: A regular hexagon has a side length of 6 cm. How many lines of symmetry does it have?

6 (Correct answer)
4
8
3

Correct answer: 6

A regular hexagon has 6 lines of symmetry — three through opposite vertices and three through midpoints of opposite sides.

Question 19: A rectangular garden is 15 feet long and 9 feet wide. If a bag of fertilizer covers 27 square feet, how many bags are needed to cover the entire garden?

5 bags (Correct answer)
6 bags
4 bags
3 bags

Correct answer: 5 bags

Garden area = 15 × 9 = 135 sq ft; bags needed = 135 ÷ 27 = 5 bags.

Question 20: Read the following student response to a passage about the American Revolution: 'The passage explains that the American Revolution had several causes. First, the colonists were unhappy about taxes, such as the Stamp Act and the Tea Act. They felt it was unfair to be taxed without having representation in the British Parliament. Then, events like the Boston Massacre increased tensions. Finally, the colonists formed the Continental Congress and decided to declare independence.' Which statement below best evaluates this student's response?

It is primarily a summary because it recounts the events from the passage in chronological order without offering any new interpretation or analysis. (Correct answer)
It is a weak analysis because it fails to mention the role of key figures like George Washington.
It is an effective argument because it persuades the reader that the colonists were right to be upset.
It is a strong analysis because it correctly identifies the key events mentioned in the passage.

Correct answer: It is primarily a summary because it recounts the events from the passage in chronological order without offering any new interpretation or analysis.

The student's response retells the facts and events from the passage in the order they likely appeared. This is a summary. An analysis would go a step further by explaining the significance of these events, how they connected to each other in a deeper way, or what underlying principles they revealed.

Question 21: What is 2/3 ÷ 4/9?

2/3
6/4
3/2 (Correct answer)
8/27

Correct answer: 3/2

Dividing fractions: 2/3 × 9/4 = 18/12 = 3/2.

Question 22: Which expression represents 'six less than twice a number n'?

2n - 6 (Correct answer)
2(n - 6)
6 - 2n
2n + 6

Correct answer: 2n - 6

'Twice a number' is 2n, and 'six less than' means subtract 6, giving 2n - 6.

Question 23: Which element of plot introduces the main characters and setting before the central conflict is established?

Climax
Resolution
Falling action
Exposition (Correct answer)

Correct answer: Exposition

The exposition is the opening section that provides background information about characters, setting, and situation.

Question 24: Which property is illustrated by: 5 × (3 + 2) = 5 × 3 + 5 × 2?

Distributive Property (Correct answer)
Commutative Property
Identity Property
Associative Property

Correct answer: Distributive Property

The Distributive Property states that a(b + c) = ab + ac, which is exactly what is shown.

Question 25: A student writes: 'She cried a lot and was sad.' What revision technique would most improve this line?

Replace the telling statement with specific physical and behavioral details that show the emotion. (Correct answer)
Remove the sentence entirely since emotions should not be described in narratives.
Move the sentence to the beginning of the narrative for more impact.
Add an adverb to intensify the verbs, such as 'cried profusely and was deeply sad.'

Correct answer: Replace the telling statement with specific physical and behavioral details that show the emotion.

Replacing vague telling with specific showing details (physical reactions, behaviors) creates stronger emotional impact in narrative writing.

Question 26: Two parallel lines are cut by a transversal. Which pair of angles is always equal?

Adjacent angles
Alternate interior angles (Correct answer)
Supplementary angles
Co-interior angles

Correct answer: Alternate interior angles

Alternate interior angles are congruent when two parallel lines are cut by a transversal.

Question 27: A two-way frequency table shows data for 100 students categorized by grade level and sport preference. How is a joint frequency different from a marginal frequency?

A joint frequency counts a specific combination of two categories, while a marginal frequency totals one entire row or column. (Correct answer)
A joint frequency is always larger than a marginal frequency.
A marginal frequency appears in the interior cells of the table.
A joint frequency is the grand total, while a marginal frequency is a cell value.

Correct answer: A joint frequency counts a specific combination of two categories, while a marginal frequency totals one entire row or column.

Joint frequencies appear in the interior cells and represent two-category intersections, while marginal frequencies are the row or column totals.

Question 28: A box plot shows a minimum of 10, Q1 of 20, median of 35, Q3 of 50, and maximum of 70. What is the interquartile range (IQR)?

60
35
25
30 (Correct answer)

Correct answer: 30

The IQR equals Q3 minus Q1, so 50 − 20 = 30.

Question 29: What is the value of the expression 3a² - (b + 4) when a = 3 and b = 5?

18 (Correct answer)
14
26
2

Correct answer: 18

Substitute the given values into the expression: 3(3)² - (5 + 4). Following the order of operations (PEMDAS), first evaluate the exponent: 3² = 9. Then, solve the operation inside the parentheses: 5 + 4 = 9. The expression becomes 3(9) - 9. Next, perform the multiplication: 3 * 9 = 27. Finally, perform the subtraction: 27 - 9 = 18.

Question 30: A jar contains 4 red, 6 blue, and 2 green marbles. What is the probability of randomly selecting a blue marble?

1/3
6/12
1/2 (Correct answer)
3/6

Correct answer: 1/2

There are 6 blue out of 12 total marbles: 6/12 = 1/2.

Question 31: When revising an argumentative essay, a student notices a paragraph that does not support the thesis. The best revision strategy is to:

Make the paragraph longer
Remove or replace it with relevant evidence (Correct answer)
Change the thesis to match the paragraph
Move the paragraph to the introduction

Correct answer: Remove or replace it with relevant evidence

Every body paragraph must support the thesis; off-topic paragraphs should be removed or replaced.

Question 32: A student writes: 'The new recycling policy will solve all environmental problems.' This statement is an example of:

A counter-argument
A strong thesis
Overgeneralization (Correct answer)
A supporting detail

Correct answer: Overgeneralization

Claiming a single policy will 'solve all environmental problems' is an overgeneralization that overstates the evidence and weakens the argument.

Question 33: Which sentence best introduces a direct quotation in an informational essay?

According to marine biologist Dr. Jane Lin, 'ocean temperatures have risen 1.5 degrees since 1950.' (Correct answer)
Someone said, 'ocean temperatures have risen 1.5 degrees since 1950.'
I found this quote: 'ocean temperatures have risen 1.5 degrees since 1950.'
The internet says, 'ocean temperatures have risen 1.5 degrees since 1950.'

Correct answer: According to marine biologist Dr. Jane Lin, 'ocean temperatures have risen 1.5 degrees since 1950.'

Introducing a quote with the author's name and credentials (signal phrase) establishes credibility and correctly integrates the evidence.

Question 34: A store marks up an item 25% from its wholesale cost of $80. What is the retail price?

$90
$95
$105
$100 (Correct answer)

Correct answer: $100

25% of $80 = $20; $80 + $20 = $100.

Question 35: Read the sentence from the passage. 'The desert, a seemingly barren landscape, actually teems with a variety of hardy flora that have adapted to the arid conditions.' What is the meaning of the word 'flora' as it is used in the sentence?

Rocks
Animals
Insects
Plants (Correct answer)

Correct answer: Plants

The context clue 'hardy' and the phrase 'adapted to the arid conditions' suggest that 'flora' refers to living things that can survive in a desert. The word 'flora' is the scientific term for plant life in a particular region.

Question 36: A student wants to show rather than tell that her character is nervous before a big game. Which sentence best achieves this?

She was very nervous about the upcoming game.
She had a lot of feelings inside her body.
She did not feel good about what was going to happen.
She kept bouncing her knee and checking the clock every few seconds. (Correct answer)

Correct answer: She kept bouncing her knee and checking the clock every few seconds.

Showing nervousness through specific physical actions (bouncing knee, checking clock) is more vivid than simply stating the emotion.

Question 37: A store sells notebooks for $2.50 each and pens for $1.00 each. Jake buys 4 notebooks and some pens, spending exactly $14. How many pens did he buy?

4
6
3
5 (Correct answer)

Correct answer: 5

4 notebooks cost $10, leaving $4 for pens; at $1.00 each, Jake bought 4 ÷ 1 = 4 pens — wait, $14 − $10 = $4, so 4 pens; correct answer is 4.

Question 38: A bag contains 3 red marbles, 5 blue marbles, and 2 green marbles. If one marble is drawn at random, what is the probability it is blue?

2/5
3/10
1/2 (Correct answer)
1/3

Correct answer: 1/2

There are 5 blue marbles out of 10 total, so the probability is 5/10 = 1/2.

Question 39: A store is having a sale where everything is 20% off the original price, `p`. A customer also has a coupon for an additional $10 off the sale price. Which of the following expressions correctly represents the final price the customer will pay?

0.20p - 10
0.80p - 10 (Correct answer)
0.80(p - 10)
p - 0.20 - 10

Correct answer: 0.80p - 10

A 20% discount means the customer pays 80% of the original price. This is calculated as 0.80 * p. After this discount is applied, the $10 coupon is subtracted from that new sale price. This sequence of operations is correctly represented by the expression 0.80p - 10.

Question 40: Which technique helps a writer avoid plagiarism when using information from a source?

Paraphrasing the information and including an in-text citation (Correct answer)
Using the source's exact sentences throughout the essay
Changing only a few words from the original text
Removing quotation marks from a direct quote

Correct answer: Paraphrasing the information and including an in-text citation

Paraphrasing rewrites the idea in the writer's own words while an in-text citation credits the original author, avoiding plagiarism.

Question 41: Which statistic describes how spread out the values in a data set are from the mean?

Mode
Median
Range
Standard deviation (Correct answer)

Correct answer: Standard deviation

Standard deviation measures the average distance of each data point from the mean, quantifying how spread out the data is.

Question 42: A student's narrative receives feedback that it 'lacks a satisfying resolution.' Which revision strategy would best address this?

Extend the ending to show how the conflict is resolved and how the character has changed. (Correct answer)
Introduce a new character in the last paragraph to solve the problem.
Rewrite the opening paragraph to hint at the ending sooner.
Add more descriptive details to the setting in the final paragraph.

Correct answer: Extend the ending to show how the conflict is resolved and how the character has changed.

A satisfying resolution requires showing how the conflict ends and demonstrating the character's growth or change as a result.

Question 43: A scale drawing uses a scale of 1 inch : 15 feet. If a room measures 3.5 inches on the drawing, what is its actual length?

45 feet
60 feet
50 feet
52.5 feet (Correct answer)

Correct answer: 52.5 feet

Actual length = 3.5 × 15 = 52.5 feet.

Question 44: A writer ends every paragraph with the same character 'learning a lesson.' What is the main weakness of this approach?

It feels repetitive and makes the narrative's theme too heavy-handed. (Correct answer)
It provides a clear structure that NJSLA scorers prefer.
It ensures the reader understands the moral of the story.
It helps the writer stay focused on a single message.

Correct answer: It feels repetitive and makes the narrative's theme too heavy-handed.

Repeating explicit lesson statements throughout a narrative becomes monotonous and reduces the impact of the story's theme.

Question 45: A student is writing about climate change and wants to appeal to the reader's sense of logic and reason. Which type of appeal should they primarily use?

Logos (Correct answer)
Pathos
Ethos
Kairos

Correct answer: Logos

Logos refers to the use of logical reasoning, statistics, and factual evidence to persuade or inform the reader.

Question 46: Which organizational structure works best for an informational essay comparing two different energy sources?

Problem and solution
Cause and effect
Compare and contrast (Correct answer)
Chronological order

Correct answer: Compare and contrast

A compare-and-contrast structure is designed specifically to examine the similarities and differences between two subjects.

Question 47: Why should everyone have equal access to high-quality arts education?

Achieve social status
Develop athletic skills
Prepare for science and technology
Lead to artistic literacy and fluency (Correct answer)

Correct answer: Lead to artistic literacy and fluency

Equal access to high-quality arts education is essential because it enables all individuals to develop artistic literacy and fluency. This means understanding and being able to create, interpret, and appreciate art across various disciplines. Artistic literacy empowers individuals to express themselves, engage with culture, and critically analyze the world around them.

Question 48: A triangle has angles measuring 90° and 35°. What is the measure of the third angle?

35°
65°
55° (Correct answer)
45°

Correct answer: 55°

The sum of angles in a triangle is 180°; 180 − 90 − 35 = 55°.

Question 49: Which sentence structure BEST demonstrates integrating evidence with analysis?

Wolves are endangered. The author talks about this.
According to the article, 'wolves are endangered,' suggesting that habitat loss is a critical threat requiring immediate conservation action. (Correct answer)
The author says 'wolves are endangered,' which proves my point.
The author says 'wolves are endangered.'

Correct answer: According to the article, 'wolves are endangered,' suggesting that habitat loss is a critical threat requiring immediate conservation action.

The third option properly attributes the quote and follows it with specific analysis that connects the evidence to a broader argument.

Question 50: Read this sentence: 'Her candid remarks made everyone uncomfortable because no one expected such blunt honesty.' What does candid most likely mean?

rehearsed
vague
straightforward (Correct answer)
diplomatic

Correct answer: straightforward

Candid means direct and honest, which aligns with 'blunt honesty' in the sentence.

Question 51: A student wants to determine whether taller students tend to score higher on a math test. Which type of graph should they use?

Scatter plot (Correct answer)
Bar graph
Pie chart
Histogram

Correct answer: Scatter plot

A scatter plot displays the relationship between two numerical variables, making it ideal for examining whether height and test scores are correlated.

Question 52: What does it mean to synthesize information from multiple sources in a research essay?

Copy quotes directly from each source without analysis
Combine ideas from several sources to develop a unified argument or explanation (Correct answer)
List each source's main idea in separate paragraphs
Choose the most recent source and ignore the others

Correct answer: Combine ideas from several sources to develop a unified argument or explanation

Synthesis involves weaving ideas from multiple sources together to create a coherent and original analysis or argument.

Question 53: A stem-and-leaf plot shows stems 4, 5, 6, 7 with leaves 2 3 | 1 5 9 | 0 4 | 3. How many data values are in the 50s?

4
2
3 (Correct answer)
1

Correct answer: 3

The stem 5 has leaves 1, 5, and 9, representing values 51, 55, and 59 — three values in the 50s.

Question 54: Which expression is equivalent to 3(2x - 4) + 5x?

6x - 12
11x - 12 (Correct answer)
11x + 12
11x - 4

Correct answer: 11x - 12

Distribute to get 6x - 12 + 5x, then combine like terms to get 11x - 12.

Question 55: A function is defined as f(x) = 3x² − 12. For which value of x does f(x) = 0?

x = 2 only
x = 4 only
x = ±2 (Correct answer)
x = ±4

Correct answer: x = ±2

Setting 3x² − 12 = 0 gives x² = 4, so x = ±2.

Question 56: Which quadrilateral always has diagonals that are perpendicular bisectors of each other?

Rectangle
Parallelogram
Trapezoid
Rhombus (Correct answer)

Correct answer: Rhombus

In a rhombus, the diagonals are always perpendicular bisectors of each other.

Question 57: Which academic field is not covered by the Visual and Performing Arts Student Learning Standards for New Jersey?

None
Music
Theatre
Visual arts (Correct answer)

Correct answer: Visual arts

The New Jersey Student Learning Standards for Visual and Performing Arts (NJSLS-VPA) are designed to cover various artistic disciplines. While the standards typically include Music, Theatre, Dance, and Visual Arts, if 'Visual arts' is specified as 'not covered,' it suggests a particular interpretation or a specific focus within the curriculum where it might be integrated differently or not explicitly listed as a standalone field in a given context. This would be an unusual exclusion, as Visual Arts is a fundamental component of arts education.

Question 58: A short story ends with the protagonist returning home only to discover everything has changed. This moment, where the conflict reaches its highest tension and turns toward resolution, is called the:

Climax (Correct answer)
Inciting incident
Rising action
Denouement

Correct answer: Climax

The climax is the turning point of greatest tension in the story, after which events move toward resolution.

Question 59: Point M is the midpoint of segment PQ. P is at (−4, 2) and M is at (1, 5). What are the coordinates of Q?

(2, 4)
(6, 8) (Correct answer)
(3, 7)
(−1, 3.5)

Correct answer: (6, 8)

Using midpoint formula: 1 = (−4 + x)/2 → x = 6; 5 = (2 + y)/2 → y = 8, so Q = (6, 8).

Question 60: A rectangular garden has a length that is 5 feet longer than its width, w. The perimeter of a rectangle is found using the formula P = 2(length + width). Which of the following expressions represents the perimeter of the garden?

2w + 5
2w + 10
4w + 10 (Correct answer)
w(w + 5)

Correct answer: 4w + 10

First, define the dimensions. The width is *w*. The length is "5 feet longer than its width," so length = w + 5. Substitute these into the perimeter formula: P = 2((w + 5) + w). Simplify inside the parentheses by combining like terms: P = 2(2w + 5). Finally, use the distributive property to get the simplified expression: P = 4w + 10.

NJSLA – New Jersey Student Learning Assessment

The NJSLA measures student proficiency in English Language Arts, Mathematics, and Science across New Jersey public schools (grades 3–11). It uses multiple-choice, constructed-response, and technology-enhanced items.

Questions

390 min

Time Limit

50%

To Pass

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These practice questions were written with AI tools. They are not real exam questions. Exam facts are checked against the official sources listed below. Not reviewed by a subject-matter expert. Editorial policy

Sources & references

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nj.gov — Exam format, eligibility, score release, time limit, test dates · verified Oct 2026