NJSLA – New Jersey Student Learning Assessment — Questions and Answers
Question 1: A survey of 200 students found that 60 prefer math. What percentage prefer math?
- 25%
- 40%
- 35%
- 30% (Correct answer)
Correct answer: 30%
60 divided by 200 equals 0.30, which is 30%.
Question 2: What replaced the NJASK and PARCC assessments in New Jersey?
- GEPA
- ASK
- NJHSPA
- NJSLA (Correct answer)
Correct answer: NJSLA
The NJSLA replaced both the NJ ASK (for earlier grades) and PARCC assessments, launching as the unified state assessment.
Question 3: A figure is reflected over the y-axis. If a point was at (5, −3), where is its image?
- (3, −5)
- (−5, 3)
- (5, 3)
- (−5, −3) (Correct answer)
Correct answer: (−5, −3)
Reflection over the y-axis negates the x-coordinate: (5, −3) → (−5, −3).
Question 4: Two lines are cut by a transversal. If the co-interior (same-side interior) angles measure 112° and 68°, what is true about the two lines?
- They are skew lines
- They are parallel (Correct answer)
- They intersect at 44°
- They are perpendicular
Correct answer: They are parallel
Co-interior angles are supplementary (sum = 180°) when lines are parallel; 112 + 68 = 180, so the lines are parallel.
Question 5: According to the scripture, what abilities do the arts foster?
- mathematical skills, writing skills, and physical skills
- creativity, critical thinking, and innovation skills (Correct answer)
- computer programming skills, construction skills, and cooking skills
- language skills, map reading skills, and driving skills
Correct answer: creativity, critical thinking, and innovation skills
The arts are widely recognized for their ability to cultivate essential cognitive and expressive abilities. Engaging with various art forms encourages individuals to think creatively, solve problems critically, and develop innovative approaches to challenges. These skills are not only valuable in artistic endeavors but also transferable to all aspects of academic and professional life.
Question 6: Express 0.006 as a fraction in simplest form.
- 3/500 (Correct answer)
- 6/1000
- 3/50
- 6/100
Correct answer: 3/500
0.006 = 6/1000, which simplifies by dividing numerator and denominator by 2 to get 3/500.
Question 7: Which of the following expressions is equivalent to 5(2x - 3) + 4x?
- 14x - 3
- 14x - 15 (Correct answer)
- 6x - 15
- 10x - 15
Correct answer: 14x - 15
To find the equivalent expression, first apply the distributive property to 5(2x - 3). This means multiplying 5 by both 2x and -3, which results in 10x - 15. The expression then becomes 10x - 15 + 4x. Next, combine the like terms, 10x and 4x, which sum to 14x. The constant term -15 remains, making the final simplified expression 14x - 15.
Question 8: A student writes: 'Source A says exercise is good. Source B says exercise is good too.' This demonstrates which writing weakness?
- Excessive use of evidence
- Incorrect paragraph structure
- Overuse of quotation marks
- Lack of synthesis—the student lists sources instead of connecting them to an analysis (Correct answer)
Correct answer: Lack of synthesis—the student lists sources instead of connecting them to an analysis
Simply stating that two sources agree is not synthesis; the student must explain what that agreement means and connect it to the central argument.
Question 9: A student's thesis states: 'Technology has both benefits and drawbacks.' Why is this considered a WEAK thesis for an argumentative essay?
- It presents a debatable claim that the student can argue
- It incorrectly uses the word 'technology'
- It is too long and detailed
- It is too vague and does not commit to a specific arguable position (Correct answer)
Correct answer: It is too vague and does not commit to a specific arguable position
A strong argumentative thesis takes a clear, specific stance; stating that something has 'both benefits and drawbacks' is a neutral observation, not an arguable claim.
Question 10: A triangle has angles measuring 47° and 63°. What is the measure of the third angle?
- 80°
- 90°
- 70° (Correct answer)
- 60°
Correct answer: 70°
The sum of angles in a triangle is 180°, so 180 − 47 − 63 = 70°.
Question 11: 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 12: Read the following excerpt from a historical article: 'The construction of the transcontinental railroad was a monumental undertaking, driven by economic ambition and nationalistic pride. While it undeniably spurred westward expansion and integrated the national economy, it came at a significant cost. The displacement of Native American tribes, the harsh labor conditions for immigrant workers, and the profound alteration of the natural landscape are critical aspects of its complex legacy.' Which of the following statements best analyzes the author's purpose in this excerpt?
- To focus solely on the negative consequences of the railroad's construction.
- To argue that the transcontinental railroad should never have been built.
- To provide a balanced perspective on the impact of the transcontinental railroad. (Correct answer)
- To celebrate the economic achievements brought about by the railroad.
Correct answer: To provide a balanced perspective on the impact of the transcontinental railroad.
The author presents both the positive outcomes (spurred expansion, integrated economy) and the negative consequences (displacement of tribes, harsh labor, environmental impact) of the railroad's construction. This indicates a purpose of providing a balanced and multi-faceted view rather than taking a one-sided stance.
Question 13: The area of a circle is 50.24 cm². What is its diameter? (Use π ≈ 3.14)
- 8 cm (Correct answer)
- 6 cm
- 4 cm
- 10 cm
Correct answer: 8 cm
r² = 50.24/3.14 = 16, so r = 4 cm and diameter = 8 cm.
Question 14: A cylinder has a radius of 4 cm and a height of 10 cm. What is the approximate volume? (Use π ≈ 3.14)
- 251.2 cm³
- 1,004.8 cm³
- 125.6 cm³
- 502.4 cm³ (Correct answer)
Correct answer: 502.4 cm³
V = πr²h = 3.14 × 16 × 10 = 502.4 cm³.
Question 15: When an NJSLA prompt says 'use details from BOTH texts,' what happens to a response that only cites one text?
- It is evaluated solely on grammar and mechanics
- It will likely lose points because the task requirement was not fully met (Correct answer)
- It receives bonus points for focused writing
- It receives full credit if the single text is used thoroughly
Correct answer: It will likely lose points because the task requirement was not fully met
NJSLA scoring rubrics penalize responses that do not meet all stated requirements, including the instruction to draw from both sources.
Question 16: Which expression represents the perimeter of a square with side length (3x - 1)?
- 9x² - 6x + 1
- 12x + 4
- 12x - 4 (Correct answer)
- 6x - 2
Correct answer: 12x - 4
Perimeter of a square = 4s = 4(3x - 1) = 12x - 4.
Question 17: A line graph shows sales rising from January to June and falling from June to December. What does the peak in June represent?
- The average monthly sales
- The maximum sales for the year (Correct answer)
- The median of all data points
- The minimum sales for the year
Correct answer: The maximum sales for the year
The highest point on the line graph in June represents the maximum (peak) value of sales during that year.
Question 18: In an informational text about ocean pollution, the author uses a graph showing plastic waste over 50 years. What is the primary purpose of including this graph?
- To confuse the reader with numbers
- To make the article look more professional
- To replace the need for written explanations
- To provide visual evidence that supports the written claims (Correct answer)
Correct answer: To provide visual evidence that supports the written claims
Graphs and visual aids in informational texts serve to visually reinforce and support the written claims with data.
Question 19: 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?
- 3 (Correct answer)
- 4
- 2
- 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 20: The expression 16 - 4x² can be factored as:
- (4 - 2x)²
- 4(2 - x)(2 + x) (Correct answer)
- 4(4 - x²)
- 4(x - 2)(x + 2)
Correct answer: 4(2 - x)(2 + x)
Factor out 4: 4(4 - x²), then factor the difference of squares: 4(2 - x)(2 + x).
Question 21: In a narrative, what is the primary purpose of rising action?
- To resolve all conflicts and wrap up the story.
- To describe the setting in as much detail as possible.
- To build tension and develop complications that lead to the climax. (Correct answer)
- To introduce the main character's backstory in detail.
Correct answer: To build tension and develop complications that lead to the climax.
Rising action builds suspense and intensifies conflict, driving the story toward its climax.
Question 22: A student's narrative includes many interesting events but lacks a clear central conflict. What is the most likely impact on the NJSLA score?
- The score will not be affected since events are more important than conflict.
- The narrative will score higher because more events show stronger writing ability.
- The narrative will score lower because it lacks the tension and purpose that a central conflict provides. (Correct answer)
- The score will remain the same as long as the writing is grammatically correct.
Correct answer: The narrative will score lower because it lacks the tension and purpose that a central conflict provides.
NJSLA scorers value a focused narrative with clear conflict; without it, the story lacks direction and the reader loses engagement.
Question 23: A student writes: 'Many people think solar energy is too expensive, but studies show the cost has dropped 89% in a decade.' What writing technique is being used?
- A transition between two body paragraphs
- A counterclaim followed by a rebuttal with evidence (Correct answer)
- A topic sentence
- A concluding statement
Correct answer: A counterclaim followed by a rebuttal with evidence
The sentence presents an opposing view ('many people think') and immediately counters it with data, which is the counterclaim-rebuttal technique.
Question 24: In music theory, a 'chord' is defined as:
- Two or more notes played simultaneously (Correct answer)
- A melodic phrase repeated throughout a song
- A single sustained note
- The written symbol for a rest
Correct answer: Two or more notes played simultaneously
A chord consists of two or more notes sounded at the same time, forming the basis of harmony in music.
Question 25: Which of the following is an example of a ratio relationship?
- The temperature dropped 4 degrees
- 5 + 3 = 8
- A square has 4 equal sides
- For every 2 red marbles there are 5 blue marbles (Correct answer)
Correct answer: For every 2 red marbles there are 5 blue marbles
A ratio compares two quantities, such as 2 red marbles for every 5 blue marbles.
Question 26: In a historical text, the author describes a famine that 'decimated the population of the region.' In modern usage, what does decimated most likely mean?
- doubled
- slightly reduced
- completely eliminated
- severely reduced or destroyed a large portion of (Correct answer)
Correct answer: severely reduced or destroyed a large portion of
In modern usage, decimated means severely reduced in number or strength.
Question 27: In a research essay, what is the purpose of an annotated bibliography?
- To briefly describe and evaluate each source used in the research (Correct answer)
- To list only the title and URL of every website visited
- To summarize the entire essay in one paragraph
- To copy the abstract from each source
Correct answer: To briefly describe and evaluate each source used in the research
An annotated bibliography includes a citation for each source followed by a short description of its content and relevance to the research.
Question 28: A student analyzing a Langston Hughes poem notes that the speaker's tone shifts from hopeful to bitter by the final stanza. What is the MOST likely reason to examine this shift?
- To understand how the speaker's attitude changes and what that reveals about the poem's theme (Correct answer)
- To determine the historical period in which the poem was written
- To count the syllables in each line
- To identify the poem's rhyme scheme
Correct answer: To understand how the speaker's attitude changes and what that reveals about the poem's theme
Analyzing a tonal shift helps reveal the speaker's evolving perspective and how it connects to the poem's central message.
Question 29: If 2(x + 3) = 14, what is the value of x + 3?
- 7 (Correct answer)
- 4
- 5
- 11
Correct answer: 7
Dividing both sides by 2 gives x + 3 = 7, without needing to solve for x alone.
Question 30: Which expression is equivalent to (x + 4)(x - 2)?
- x² - 8
- x² + 2x - 8 (Correct answer)
- x² - 2x - 8
- x² + 2x + 8
Correct answer: x² + 2x - 8
Using FOIL: x² - 2x + 4x - 8 = x² + 2x - 8.
Question 31: Which scenic element in theater is used to suggest location and time period without a full realistic set?
- Prop
- Cyclorama
- Scrim (Correct answer)
- Flat
Correct answer: Scrim
A scrim is a semi-transparent fabric that can appear opaque or transparent depending on lighting, used to suggest scenes or locations.
Question 32: Which law mandated that students in New Jersey's third through eighth grades take an English Language Arts and Mathematics exam?
- NJSLA-S Assessment
- Regulation in 1970s
- No Child Left Behind Act (Correct answer)
- NJSLA Resource Center Takes Charge
Correct answer: No Child Left Behind Act
The No Child Left Behind Act (NCLB) of 2001 was a federal law that mandated annual standardized testing in reading and math for students in grades 3-8, and once in high school. This legislation significantly influenced state testing programs, including New Jersey's, by requiring regular assessments to ensure accountability and track student progress. Consequently, New Jersey's NJSLA exams for these grade levels are a direct result of NCLB's requirements.
Question 33: The politician's speech was filled with platitudes, such as 'we must work together for a better tomorrow' and 'every voice matters.' While the crowd applauded, some critics noted the lack of any concrete proposals. Based on this scenario, a 'platitude' is most likely a...
- Controversial statement
- Remark or statement, especially one with a moral content, that has been used too often to be interesting or thoughtful (Correct answer)
- Detailed policy plan
- Question designed to make the audience think
Correct answer: Remark or statement, especially one with a moral content, that has been used too often to be interesting or thoughtful
The context contrasts the 'platitudes' with 'concrete proposals'. The examples given ('we must work together for a better tomorrow') are common, unoriginal statements. This contrast implies that platitudes are remarks that sound good but lack specific meaning or substance.
Question 34: A student writes a body paragraph with five direct quotes in a row and no analysis. What is the PRIMARY problem?
- The paragraph is likely too short
- Direct quotes are not allowed on the NJSLA
- The student failed to analyze or connect the evidence to the thesis (Correct answer)
- The student used too few sources
Correct answer: The student failed to analyze or connect the evidence to the thesis
Evidence alone does not make an argument; students must analyze quotes and explain how each piece of evidence supports the central claim.
Question 35: Simplify: (5x² - 3x + 2) - (2x² + x - 4)
- 3x² - 4x - 2
- 7x² - 4x + 6
- 3x² - 4x + 6 (Correct answer)
- 3x² - 2x - 2
Correct answer: 3x² - 4x + 6
Distribute the negative sign and combine like terms: 5x²-2x²=3x², -3x-x=-4x, 2+4=6.
Question 36: A tank is being filled by two pipes. Pipe A fills 45 gallons per minute and Pipe B fills 30 gallons per minute. The tank holds 900 gallons and is currently 40% full. How many minutes will it take to fill the tank completely?
- 8 minutes
- 10 minutes
- 6 minutes
- 7.2 minutes (Correct answer)
Correct answer: 7.2 minutes
40% of 900 = 360 gallons already filled; remaining = 540 gallons; combined rate = 45 + 30 = 75 gal/min; time = 540 ÷ 75 = 7.2 minutes.
Question 37: Sarah earns $12 per hour and works 8 hours on weekdays and 10 hours on weekends. In one week (5 weekdays, 2 weekend days), how much does she earn in total?
- $680
- $720 (Correct answer)
- $740
- $700
Correct answer: $720
Weekday earnings = 5 × 8 × $12 = $480; weekend earnings = 2 × 10 × $12 = $240; total = $720.
Question 38: When summarizing an informational text, which element is MOST important to include?
- The central idea and key supporting details (Correct answer)
- Personal opinions about the topic
- Every fact mentioned in the article
- The author's name and publication date
Correct answer: The central idea and key supporting details
An effective summary captures the central idea and the most important supporting details without including minor details or personal opinions.
Question 39: The equation 2x + y = 8 and y = 3x − 2 are graphed on the same coordinate plane. Where do they intersect?
- (2, 5)
- (3, 7)
- (1, 6)
- (2, 4) (Correct answer)
Correct answer: (2, 4)
Substituting y = 3x − 2 into 2x + y = 8: 2x + 3x − 2 = 8 → 5x = 10 → x = 2; y = 3(2) − 2 = 4, giving (2, 4).
Question 40: Which approach BEST shows 'evidence-based reasoning' rather than simple opinion?
- 'Renewable energy must be expanded because experts argue it is somewhat helpful.'
- 'I believe renewable energy is good because it feels right.'
- 'Renewable energy is essential: the IPCC reports it could reduce carbon emissions by 70% by 2050, directly countering climate projections.' (Correct answer)
- 'Renewable energy is important to many people around the world today.'
Correct answer: 'Renewable energy is essential: the IPCC reports it could reduce carbon emissions by 70% by 2050, directly countering climate projections.'
Evidence-based reasoning requires specific, sourced data and a clear logical connection between the evidence and the claim it supports.
Question 41: Which expression is equivalent to 3(2x - 4) + 5x?
- 11x + 12
- 11x - 12 (Correct answer)
- 11x - 4
- 6x - 12
Correct answer: 11x - 12
Distribute to get 6x - 12 + 5x, then combine like terms to get 11x - 12.
Question 42: 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?
- Animals
- Insects
- Plants (Correct answer)
- Rocks
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 43: Read the character description below. 'Marcus publicly championed the new recycling initiative, giving speeches on civic duty and the importance of conservation. He smiled for the cameras, sorting his plastic bottles into the correct bins. Yet, in the privacy of his own home, he let the faucet run while he brushed his teeth, tossed half-eaten meals into the trash without a thought, and grumbled about the inconvenience of it all. He craved the town's approval more than he cared for its green spaces, but the fear of being seen as a hypocrite was a constant, gnawing anxiety.' This description reveals that Marcus's primary conflict is between his...
- love for nature and his inability to live a sustainable lifestyle.
- desire for a cleaner town and his frustration with his neighbors.
- need for public admiration and his private disregard for the cause he promotes. (Correct answer)
- past promises and his future political ambitions.
Correct answer: need for public admiration and his private disregard for the cause he promotes.
The core conflict within Marcus is his external performance versus his internal beliefs and actions. He performs the role of a civic-minded environmentalist because he 'craved the town's approval,' but his private actions and thoughts show he doesn't truly believe in the cause. This creates a conflict between his public image and his private self, leading to the 'gnawing anxiety' of being exposed as a hypocrite.
Question 44: Maria earns $15 per hour and works h hours. Her rent is $900 per month. Which inequality models how many hours she must work to afford rent?
- 15h > 900
- h + 15 ≥ 900
- 900h ≥ 15
- 15h ≥ 900 (Correct answer)
Correct answer: 15h ≥ 900
She needs her earnings (15h) to be at least $900, so 15h ≥ 900.
Question 45: A story about a family inheritance dispute is told from the first-person point of view of the youngest sibling, who feels overlooked and resentful. The narrator frequently describes the older siblings' conversations as 'conspiratorial whispers' and their motives as 'purely greedy.' The reader is not given direct access to the older siblings' thoughts or feelings. How does this specific point of view most likely affect the reader's understanding of the conflict?
- It ensures the reader understands the complex legal aspects of the inheritance.
- It presents the older siblings as heroic figures in the family drama.
- It provides an objective and unbiased account of all family members' motivations.
- It creates a biased perspective that encourages the reader to sympathize with the narrator. (Correct answer)
Correct answer: It creates a biased perspective that encourages the reader to sympathize with the narrator.
Using a first-person narrator who is emotionally invested and has a strong opinion on the events will inevitably color the story. The narrator's choice of words like 'conspiratorial whispers' and 'purely greedy' are interpretations, not objective facts. By limiting the reader's access to other characters' perspectives, the author encourages the reader to align with the narrator's viewpoint and share in their feelings of resentment and suspicion, creating a biased but intimate account.
Question 46: What is the greatest common factor (GCF) of 24 and 36?
- 12 (Correct answer)
- 6
- 8
- 4
Correct answer: 12
The factors of 24 include 1, 2, 3, 4, 6, 8, 12, 24 and of 36 include 1, 2, 3, 4, 6, 9, 12, 18, 36; the greatest common factor is 12.
Question 47: What rhythmic technique in jazz involves deliberately placing accents on the weak beats of a measure?
- Ostinato
- Rubato
- Counterpoint
- Syncopation (Correct answer)
Correct answer: Syncopation
Syncopation is the deliberate displacement of the regular metric accent onto weak beats, giving jazz and funk their characteristic 'groove.'
Question 48: Which display is best for showing the distribution of a single set of numerical data?
- Histogram (Correct answer)
- Bar graph
- Line graph
- Pie chart
Correct answer: Histogram
A histogram groups numerical data into intervals and shows the frequency of each interval, making it ideal for displaying distribution.
Question 49: A data set has values: 4, 4, 6, 8, 10, 10, 14. What is the mode?
- 4
- 10
- 8
- 4 and 10 (Correct answer)
Correct answer: 4 and 10
Both 4 and 10 appear twice, making this a bimodal data set with modes of 4 and 10.
Question 50: What does the artistic principle of 'balance' refer to in visual composition?
- The repetition of shapes across a composition
- The arrangement of colors from warm to cool
- The use of light and dark areas in equal proportion
- The distribution of visual weight in a design or artwork (Correct answer)
Correct answer: The distribution of visual weight in a design or artwork
Balance refers to how visual weight is distributed in a composition, which can be symmetrical, asymmetrical, or radial.
Question 51: Which expression is equivalent to -(2x - 5)?
- -2x + 5 (Correct answer)
- 2x + 5
- -2x - 5
- 2x - 5
Correct answer: -2x + 5
Distributing the negative sign: -(2x - 5) = -2x + 5.
Question 52: In the coordinate plane, Triangle ABC has vertices at A(2, 3), B(5, 3), and C(2, 7). Which of the following transformations will result in a triangle with vertices at A'(-2, -3), B'(-5, -3), and C'(-2, -7)?
- A reflection across the x-axis
- A 180-degree rotation about the origin (Correct answer)
- A reflection across the y-axis
- A translation 4 units to the left
Correct answer: A 180-degree rotation about the origin
A 180-degree rotation about the origin follows the rule (x, y) -> (-x, -y). Applying this rule to each vertex: A(2, 3) becomes A'(-2, -3), B(5, 3) becomes B'(-5, -3), and C(2, 7) becomes C'(-2, -7). These are the coordinates of the transformed triangle.
Question 53: Read this sentence: 'The pundit's caustic review of the film left the director feeling deeply wounded.' What does caustic mean in this context?
- lengthy
- enthusiastic
- sharply critical (Correct answer)
- confused
Correct answer: sharply critical
Caustic means bitterly sarcastic or severely critical.
Question 54: In the sentence 'Her sanguine outlook helped her recover quickly from disappointment,' what does sanguine most likely mean?
- anxious
- pessimistic
- optimistic (Correct answer)
- indifferent
Correct answer: optimistic
Sanguine means optimistic, especially in a difficult situation.
Question 55: Two supplementary angles are in the ratio 2:7. What are their measures?
- 20° and 70°
- 40° and 140° (Correct answer)
- 45° and 135°
- 36° and 126°
Correct answer: 40° and 140°
2x + 7x = 180°, so 9x = 180°, x = 20°; the angles are 40° and 140°.
Question 56: David scored 78, 85, and 91 on three tests. What score does he need on his fourth test to have an average of exactly 85?
- 86 (Correct answer)
- 84
- 90
- 88
Correct answer: 86
Target total for 4 tests = 85 × 4 = 340; current total = 78 + 85 + 91 = 254; needed score = 340 − 254 = 86.
Question 57: A community center rents its main hall for a flat fee of $150 plus an additional $8 per guest. A school has a budget of exactly $550 for an awards banquet. Which equation can be used to determine the maximum number of guests, `g`, that can attend?
- 150 + 8g = 550 (Correct answer)
- 150 + 8 = 550g
- 150g + 8 = 550
- (150 + 8)g = 550
Correct answer: 150 + 8g = 550
The total cost is modeled by the sum of the fixed fee ($150) and the variable cost, which is $8 multiplied by the number of guests (`g`). This total must equal the budget of $550. Therefore, the correct equation is 150 + 8g = 550.
Question 58: When writing a research-based informational essay for NJSLA, what should body paragraphs include?
- A personal opinion followed by a question for the reader
- A list of facts with no explanatory sentences
- Only direct quotes from sources with no student commentary
- A topic sentence, supporting evidence with citations, analysis, and a concluding sentence (Correct answer)
Correct answer: A topic sentence, supporting evidence with citations, analysis, and a concluding sentence
Effective body paragraphs begin with a topic sentence, incorporate cited evidence, explain the evidence through analysis, and close with a linking sentence.
Question 59: In the algebraic expression 7y - 4z + 12, which statement is true?
- 12 is a coefficient.
- y is a constant.
- -4 is a variable.
- 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 60: 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 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.
- A joint frequency counts a specific combination of two categories, while a marginal frequency totals one entire row or column. (Correct answer)
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.
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.
Exam Rules
- You can skip questions and return to them later
- Flag questions for review before submitting
- No feedback shown until you submit the entire exam
- Unanswered questions count as wrong — answer everything
- 10 pretest questions are mixed in and don't affect your score
- Timer auto-submits when time runs out
- Your progress is auto-saved every 30 seconds