Digital SAT (DSAT) — Questions and Answers

Question 1: What does 'making an inference' mean?

Copying text directly
Summarizing the first paragraph
Drawing a conclusion from evidence not explicitly stated (Correct answer)
Identifying the title

Correct answer: Drawing a conclusion from evidence not explicitly stated

Inferring means using clues and prior knowledge to reach a conclusion that isn't directly stated in the text.

Question 2: A student is unsure between two answer choices on a Reading question. Both seem plausible. What is the BEST tiebreaker strategy?

Choose the longer answer since it has more detail
Choose the answer that uses words closest to the question stem
Return to the passage and find the specific lines that directly support one choice over the other (Correct answer)
Pick the first answer alphabetically

Correct answer: Return to the passage and find the specific lines that directly support one choice over the other

All correct Reading answers must be directly supported by specific passage text, so locating the relevant lines is the most reliable way to confirm the right choice.

Question 3: What is a primary source?

An original, firsthand account of an event (Correct answer)
An encyclopedia entry
A textbook summary
A newspaper editorial

Correct answer: An original, firsthand account of an event

Primary sources are original materials from the time period (diaries, letters, photographs, official records) providing firsthand evidence.

Question 4: The Digital SAT Reading section includes 'Command of Evidence' questions that ask students to identify which textual evidence best supports a previous answer. To answer these questions correctly, a student should:

Choose the longest quote from the passage
Choose the evidence that introduces the most new information
Select the quote that directly and specifically supports the conclusion drawn in the prior question (Correct answer)
Pick the most recent piece of evidence mentioned in the passage

Correct answer: Select the quote that directly and specifically supports the conclusion drawn in the prior question

Command of Evidence questions require selecting the specific textual quote that most directly substantiates the interpretation or claim made in the preceding question.

Question 5: If f(x) = 3x - 2 and g(x) = x + 4, for what value of x does f(x) = g(x)?

x = 1
x = 4
x = 3 (Correct answer)
x = 2

Correct answer: x = 3

Setting 3x - 2 = x + 4 gives 2x = 6, so x = 3.

Question 6: What is the purpose of a topic sentence?

To conclude an essay
To cite sources
To provide transitions only
To introduce the main idea of a paragraph (Correct answer)

Correct answer: To introduce the main idea of a paragraph

A topic sentence states the main point of its paragraph, letting readers know what the paragraph will be about.

Question 7: A writer uses the phrase "in addition" to connect two sentences. What relationship does this transition establish between the two ideas?

The second idea contradicts the first.
The second idea supplements or adds to the first. (Correct answer)
The second idea provides a cause for the first.
The second idea concludes the argument from the first.

Correct answer: The second idea supplements or adds to the first.

"In addition" is an additive transition that signals supplementary information supporting or expanding on the previous idea.

Question 8: A passage arguing that homework should be limited states: 'Studies show that beyond two hours per night, additional homework yields no academic benefit and increases student anxiety.' An author who opposes this position would most likely argue that:

Homework is enjoyed by most students
Student anxiety is unrelated to academic performance
Teachers should not be allowed to assign homework
The studies cited may not account for subject-specific differences in workload needs (Correct answer)

Correct answer: The studies cited may not account for subject-specific differences in workload needs

The strongest counterargument acknowledges the evidence but challenges its generalizability by pointing out that different subjects may have different optimal homework thresholds.

Question 9: Which option correctly completes this sentence? 'The board of directors _____ voted on the merger proposal.' A) have unanimously B) has unanimously C) unanimously have D) were unanimously

has unanimously (Correct answer)
were unanimously
unanimously have
have unanimously

Correct answer: has unanimously

In American English, collective nouns like 'board' take singular verbs, so 'has' is correct.

Question 10: What is correlation?

An average value
Proof of cause and effect
A statistical relationship between two variables (Correct answer)
A type of graph

Correct answer: A statistical relationship between two variables

Correlation measures the strength and direction of a relationship between two variables, without implying that one causes the other.

Question 11: A student wants to conclude a paragraph about ocean pollution. Which sentence provides the most effective concluding statement?

Many scientists have studied ocean pollution for decades.
Oceans cover more than 70 percent of the Earth's surface.
Without immediate action, marine ecosystems may face irreversible damage from pollution. (Correct answer)
Plastic is one of the most common pollutants found in the ocean.

Correct answer: Without immediate action, marine ecosystems may face irreversible damage from pollution.

An effective conclusion synthesizes the paragraph's argument and reinforces its significance, which option A does by emphasizing consequences.

Question 12: Which sentence correctly uses the possessive form?

The committees decision was unanimous.
The committees' decision was unanimous.
The committee's' decision was unanimous.
The committee's decision was unanimous. (Correct answer)

Correct answer: The committee's decision was unanimous.

'Committee's' correctly shows possession for a singular noun by adding an apostrophe and 's'.

Question 13: As used in the passage 'The committee sought to ameliorate the harsh conditions in the facility,' the word 'ameliorate' most nearly means:

Worsen
Improve (Correct answer)
Publicize
Investigate

Correct answer: Improve

To ameliorate means to make something bad or unsatisfactory better.

Question 14: Simplify: (27x⁶)^(1/3)

9x³
9x²
3x³
3x² (Correct answer)

Correct answer: 3x²

27^(1/3) = 3 and (x⁶)^(1/3) = x², so the answer is 3x².

Question 15: A two-way table shows 40 men and 60 women surveyed. Of the men, 25 exercise daily; of the women, 30 exercise daily. Which group has a higher relative frequency of daily exercisers?

Men, because 25/40 > 30/60 (Correct answer)
Cannot be determined without more data
Women, because 30 > 25
Both groups are equal

Correct answer: Men, because 25/40 > 30/60

Men: 25/40 = 62.5%; Women: 30/60 = 50%, so men have a higher relative frequency.

Question 16: Jayla saves $120 initially and adds $15 per week. Marcus has $30 and saves $25 per week. After how many weeks will they have the same amount?

8
10
9 (Correct answer)
7

Correct answer: 9

Setting 120 + 15w = 30 + 25w gives 90 = 10w, so w = 9 weeks.

Question 17: The word 'equivocal' in 'The manager's equivocal response left employees uncertain about their job security' most nearly means:

Statistically significant
Legally binding
Open to more than one interpretation (Correct answer)
Clearly reassuring

Correct answer: Open to more than one interpretation

Equivocal means open to more than one interpretation, often intentionally ambiguous.

Question 18: Which inequality is represented by a dashed line with slope -1 and y-intercept 4, shaded below the line?

y < -x + 4 (Correct answer)
y ≤ -x + 4
y ≥ -x + 4
y > -x + 4

Correct answer: y < -x + 4

A dashed line means strict inequality, and shading below means y is less than the line, giving y < -x + 4.

Question 19: An SAT passage presents a scientist's initial hypothesis, three experiments that progressively refine it, and a final revised hypothesis. What organizational structure is this?

Iterative refinement — showing how knowledge develops through repeated testing (Correct answer)
Simple chronological narrative of a single experiment
Problem-solution, where the initial hypothesis is the problem
Compare and contrast of two competing scientific models

Correct answer: Iterative refinement — showing how knowledge develops through repeated testing

The structure traces the iterative nature of scientific inquiry, showing how hypotheses evolve through repeated experimentation.

Question 20: In a passage, a narrator recalls: 'My grandfather never spoke of the war, but his hands did—trembling each November when the leaves fell.' This sentence primarily uses which literary technique?

Direct characterization through dialogue
Indirect characterization through physical detail and symbol (Correct answer)
Stream of consciousness to reveal the narrator's anxiety
Flashback narrated from the grandfather's perspective

Correct answer: Indirect characterization through physical detail and symbol

The grandfather's character is revealed indirectly through the symbolic physical detail of trembling hands each November, rather than through explicit description or his own words.

Question 21: A sample of 10 test scores has a mean of 75 and a standard deviation of 8. A student scores 91. Approximately how many standard deviations above the mean is this score?

2 (Correct answer)
2.5
1
1.5

Correct answer: 2

(91 − 75) / 8 = 16 / 8 = 2 standard deviations above the mean.

Question 22: Read this sentence: 'Neither the coach nor the players was satisfied with the outcome.' Which revision corrects the subject-verb agreement error?

Neither the coach nor the players is satisfied with the outcome.
Neither the coach nor the players are being satisfied with the outcome.
Neither the coach nor the players were satisfied with the outcome. (Correct answer)
Neither the coach nor the players been satisfied with the outcome.

Correct answer: Neither the coach nor the players were satisfied with the outcome.

When 'neither...nor' connects subjects, the verb agrees with the closer subject ('players'), which is plural, so 'were' is correct.

Question 23: A set of 6 data values has a mean of 12. One value of 6 is removed. What is the new mean of the remaining 5 values?

11.5
12
13.2 (Correct answer)
14

Correct answer: 13.2

Original sum = 12 × 6 = 72; removing 6 leaves 66; new mean = 66 / 5 = 13.2.

Question 24: A passage begins with the sentence: 'By 2050, more than two-thirds of the world's population will live in cities.' What structural role does this sentence most likely play?

It establishes the scope and urgency of the topic to orient the reader from the start (Correct answer)
It is a topic sentence for the final paragraph's conclusion
It provides the passage's central counterargument
It introduces a hypothesis that the passage will disprove

Correct answer: It establishes the scope and urgency of the topic to orient the reader from the start

An opening statistic about scale and future projection orients readers to the topic's relevance and urgency, functioning as a hook.

Question 25: When a problem has a long, complicated setup but a simple numerical answer choice list, which strategy can save time?

Reread the problem three times before attempting
Identify the largest answer as most likely correct
Work backward from each answer choice to see which satisfies the problem (Correct answer)
Always solve algebraically from scratch

Correct answer: Work backward from each answer choice to see which satisfies the problem

Back-solving (plugging answer choices into the problem) is efficient when the answer list is simple numbers and algebra would be complex.

Question 26: Which strategy should you use when an SAT problem has variables in the answer choices and you're unsure how to set up the algebra?

Leave it blank to save time
Pick a simple number for the variable and test each answer choice (Correct answer)
Pick the answer with the most variables
Always choose the middle answer choice

Correct answer: Pick a simple number for the variable and test each answer choice

Plugging in a simple number (like x = 2) lets you compute a concrete target value and then check which answer choice matches.

Question 27: A passage includes this sentence: 'Despite its initial promise, the program was quietly defunded after internal audits revealed significant mismanagement.' The word 'quietly' most likely implies the defunding was done:

After quiet deliberation among program staff
During a period of public silence in the city
Without public announcement or transparency (Correct answer)
In a peaceful, orderly manner

Correct answer: Without public announcement or transparency

Used adverbially here, 'quietly' implies the defunding occurred without public disclosure or announcement, suggesting a lack of transparency.

Question 28: Annual sales (in millions) over four years: $4M, $6M, $5M, $8M. What is the mean annual sales?

$5.75M (Correct answer)
$6M
$5M
$6.5M

Correct answer: $5.75M

Mean = (4 + 6 + 5 + 8) / 4 = 23 / 4 = $5.75M.

Question 29: Can students use external keyboards with tablets when taking the Digital SAT on Bluebook?

No, only the on-screen keyboard is permitted
Yes, Bluetooth or wired external keyboards are permitted (Correct answer)
Only wired keyboards are allowed; Bluetooth is prohibited
Yes, Bluetooth keyboards are allowed but must be College Board-issued

Correct answer: Yes, Bluetooth or wired external keyboards are permitted

Students using tablets may connect Bluetooth or wired external keyboards to type responses more efficiently.

Question 30: In an SAT science passage, the author writes: 'Although early models predicted X, subsequent experiments consistently showed Y.' What is the content function of the word 'although' in this sentence?

It marks the beginning of the passage's concluding argument
It concedes a point before agreeing with the early models
It signals a contrast between an earlier expectation and later empirical findings (Correct answer)
It introduces supporting evidence for the passage's thesis

Correct answer: It signals a contrast between an earlier expectation and later empirical findings

'Although' is a concessive conjunction that signals the first clause (early prediction) is being overturned by the second clause (actual findings).

Question 31: A histogram is right-skewed. Which statement about its mean and median is most likely true?

Neither can be determined
Mean < Median
Mean > Median (Correct answer)
Mean = Median

Correct answer: Mean > Median

In a right-skewed distribution, the long right tail pulls the mean above the median.

Question 32: Which correlation coefficient best describes a strong negative linear relationship?

r = -0.04
r = -0.88 (Correct answer)
r = 0.15
r = 0.92

Correct answer: r = -0.88

A value of r = -0.88 indicates a strong negative linear relationship because it is close to -1.

Question 33: On the Digital SAT, what should you do with the 'Mark for Review' flag during a module?

Flag uncertain answers so you can revisit them if time remains (Correct answer)
Flags carry over between modules so you can review later
Flagged questions are automatically graded as incorrect
Use it on every question to ensure you review all answers

Correct answer: Flag uncertain answers so you can revisit them if time remains

The Mark for Review flag is a tool to track questions you are unsure about, allowing efficient use of remaining time within the same module.

Question 34: A quantity decreases from 200 to 50. By what percentage did it decrease?

25%
75% (Correct answer)
150%
50%

Correct answer: 75%

Percent decrease = (200 - 50)/200 × 100 = 150/200 × 100 = 75%.

Question 35: A question involves simplifying the expression (3x²y)(4xy³). Which property is key?

Product of powers property (add exponents when multiplying like bases) (Correct answer)
Distributive property
Quotient of powers property
Power of a power property

Correct answer: Product of powers property (add exponents when multiplying like bases)

Multiply coefficients (3 × 4 = 12) and add exponents for each variable: x^(2+1) = x³ and y^(1+3) = y⁴, giving 12x³y⁴.

Question 36: For what value(s) of x is the expression (x² - 16)/(x - 4) undefined?

x = 4 or x = -4
x = 0
x = 4 only (Correct answer)
x = -4 only

Correct answer: x = 4 only

The expression is undefined when the denominator equals zero: x - 4 = 0, so x = 4.

Question 37: What is the solution to the system: y = x + 1 and y = -x + 7?

(5, 2)
(4, 3)
(2, 5)
(3, 4) (Correct answer)

Correct answer: (3, 4)

Setting x + 1 = -x + 7 gives 2x = 6, so x = 3 and y = 4.

Question 38: A student wants to strengthen the claim 'Social media has significantly altered how teenagers communicate' by adding a specific statistic. Which addition best accomplishes this?

Teenagers today spend a lot of time on their phones.
Social media was developed in the early 2000s and has grown rapidly since then.
Social media platforms have changed many aspects of modern life.
According to a recent survey, 95% of teenagers use at least one social media platform daily, and 70% report that it is their primary method of communicating with friends. (Correct answer)

Correct answer: According to a recent survey, 95% of teenagers use at least one social media platform daily, and 70% report that it is their primary method of communicating with friends.

Option C provides specific statistics (95% daily usage, 70% as primary communication method) that directly quantify the claim about altered communication habits.

Question 39: When should you use a semicolon?

Before every conjunction
To end a question
To introduce a list
To join two closely related independent clauses (Correct answer)

Correct answer: To join two closely related independent clauses

Semicolons connect two independent clauses that are closely related in meaning, without using a conjunction.

Question 40: Which word correctly fills the blank? 'The researcher's ______ approach to data collection ensured that no variable was overlooked.'

superficial
meticulous (Correct answer)
impulsive
haphazard

Correct answer: meticulous

'Meticulous' means extremely careful and precise, which is consistent with ensuring no variable is overlooked.

Question 41: A student reads the following sentence: 'The committee, after hours of deliberation, finally reached a consensus.' Which word is the simple subject of this sentence?

hours
committee (Correct answer)
consensus
deliberation

Correct answer: committee

The simple subject is 'committee' — the prepositional phrase 'after hours of deliberation' is a modifier, not the subject.

Question 42: How does documentation support quality in Problem Solving Strategies?

It only serves administrative purposes
Documentation is unnecessary overhead
It is only for billing
It creates records, ensures consistency, and enables improvement (Correct answer)

Correct answer: It creates records, ensures consistency, and enables improvement

Proper documentation creates accountability, ensures consistency, supports quality improvement, and provides legal protection.

Question 43: Which sentence uses the semicolon correctly? A) She studied hard; and passed the exam. B) He was tired; he still finished the project. C) They went to the store; to buy groceries. D) The dog barked; because it was scared.

She studied hard; and passed the exam.
They went to the store; to buy groceries.
He was tired; he still finished the project. (Correct answer)
The dog barked; because it was scared.

Correct answer: He was tired; he still finished the project.

A semicolon joins two independent clauses; 'He was tired' and 'he still finished the project' are both independent clauses.

Question 44: What type of device is required to take the Digital SAT?

A desktop computer only
A laptop, tablet, or device that meets specific technical requirements (Correct answer)
A traditional paper-and-pencil setup
Any smartphone

Correct answer: A laptop, tablet, or device that meets specific technical requirements

The Digital SAT is administered through a secure testing application, which requires a compatible device. Students must use a laptop, tablet, or other device that meets specific technical specifications regarding operating system, screen size, and internet connectivity. This ensures the secure application runs smoothly and provides a consistent testing experience for all students.

Question 45: Which sentence uses the colon correctly? A) She brought: apples, oranges, and grapes. B) She needed to buy: milk. C) She had one goal: to graduate with honors. D) She studied: and then took the test.

She had one goal: to graduate with honors. (Correct answer)
She brought: apples, oranges, and grapes.
She needed to buy: milk.
She studied: and then took the test.

Correct answer: She had one goal: to graduate with honors.

A colon should follow a complete independent clause before introducing additional information.

Question 46: What is the solution to the inequality 2x - 4 > 6?

x < 5
x > 3
x > 5 (Correct answer)
x > 1

Correct answer: x > 5

Add 4: 2x > 10. Divide by 2: x > 5.

Question 47: What is the solution set of 5 - 2x ≥ 11?

x ≤ -3 (Correct answer)
x ≥ -3
x ≤ 3
x ≥ 3

Correct answer: x ≤ -3

Subtracting 5 gives -2x ≥ 6, then dividing by -2 (flip inequality) gives x ≤ -3.

Question 48: Which property states that a(b + c) = ab + ac?

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

Correct answer: Distributive property

The distributive property allows you to multiply a single term across terms inside parentheses.

Question 49: The sum of three consecutive integers is 48. What is the largest integer?

16
17 (Correct answer)
18
15

Correct answer: 17

Let the integers be n, n+1, n+2; then 3n + 3 = 48, so n = 15 and the largest is 17.

Question 50: The exterior angle of a triangle measures 120°. If one of the non-adjacent interior angles is 45°, what is the other non-adjacent interior angle?

75° (Correct answer)
80°
60°
90°

Correct answer: 75°

An exterior angle equals the sum of the two non-adjacent interior angles: 120° = 45° + x, so x = 75°.

Question 51: In the sentence 'The results of the experiment, which were surprising, challenged the hypothesis,' what does the clause 'which were surprising' do grammatically?

It identifies which results are being discussed.
It serves as the subject of the sentence.
It adds nonessential information about the results. (Correct answer)
It forms the main verb of the sentence.

Correct answer: It adds nonessential information about the results.

A 'which' clause set off by commas is a nonrestrictive (nonessential) relative clause that adds extra, non-defining information.

Question 52: What is the primary purpose of professional certification in Problem Solving Strategies?

To replace practical experience
To meet legal requirements only
To validate competency and knowledge in the field (Correct answer)
To increase salary automatically

Correct answer: To validate competency and knowledge in the field

Certification validates that a professional has met established standards of knowledge and competency in Problem Solving Strategies.

Question 53: An author presents a historical event in one paragraph, then analyzes its long-term significance in the next. What structural relationship exists between these two paragraphs?

Problem followed by solution
Description followed by interpretation (Correct answer)
Hypothesis followed by experiment
Claim followed by counterargument

Correct answer: Description followed by interpretation

The first paragraph describes what happened (description), and the second explains what it means (interpretation), a common two-part analytical structure.

Question 54: Read the passage: 'Some researchers argue that social media fosters connection; others contend it breeds isolation. The debate remains unresolved.' The author's primary purpose is to:

present opposing viewpoints without taking a side (Correct answer)
argue that social media is harmful to society
prove that social media improves human connection
call for more government regulation of social media

Correct answer: present opposing viewpoints without taking a side

The passage presents two conflicting perspectives and states the debate is 'unresolved,' indicating a neutral, balanced purpose.

Question 55: A student needs to compare the slopes of two lines given only their equations in standard form (Ax + By = C). What is the fastest method?

Find the x-intercepts of both lines
Compare the A coefficients directly
Graph both lines and visually compare steepness
Rewrite each equation in slope-intercept form y = mx + b (Correct answer)

Correct answer: Rewrite each equation in slope-intercept form y = mx + b

Converting to y = mx + b isolates the slope m for direct comparison, which is more reliable than visual inspection or comparing raw coefficients.

Question 56: Which expression represents the product (2x - 3)(x + 5)?

2x² - 7x - 15
2x² + 7x - 15 (Correct answer)
2x² + 7x + 15
2x² + 10x - 15

Correct answer: 2x² + 7x - 15

Using FOIL: 2x·x + 2x·5 + (-3)·x + (-3)·5 = 2x² + 10x - 3x - 15 = 2x² + 7x - 15.

Question 57: A student sees two linear equations and must find their intersection. Which method is fastest when one equation is already solved for y?

Guessing and checking each answer choice
Elimination by multiplying both equations
Substitution (Correct answer)
Graphing both lines

Correct answer: Substitution

When one equation is solved for y, substituting that expression into the other equation immediately reduces the system to one variable.

Question 58: A student taking the Digital SAT at home (via School Day) accidentally closes the Bluebook app. What should they do?

Notify the proctor and wait for a system reset
Reopen Bluebook and log back in to resume where they left off (Correct answer)
Call College Board immediately to request a new test date
The test is automatically submitted with answers up to that point

Correct answer: Reopen Bluebook and log back in to resume where they left off

Bluebook saves progress continuously, so students can reopen the app, log back in, and resume without losing their answers.

Question 59: A random sample of 500 voters shows 55% support a ballot measure, but the true population support is 52%. What best explains the 3-point difference?

The survey was intentionally biased
The population proportion must be incorrect
The difference is due to sampling variability (Correct answer)
55% is always more accurate than 52%

Correct answer: The difference is due to sampling variability

Random samples naturally vary from the true population value; this difference is expected sampling variability.

Question 60: The equation x² + y² = 25 represents a circle. Which point lies on this circle?

(4, 4)
(2, 4)
(5, 5)
(3, 4) (Correct answer)

Correct answer: (3, 4)

Check (3,4): 3² + 4² = 9 + 16 = 25. ✓

Question 61: A student writes: 'The experiment was conducted carefully. The experiment was done with precision and care.' Which revision most effectively combines these sentences to eliminate redundancy?

The experiment was conducted carefully, and it was also done with care.
Carefully and precisely, the experiment was conducted with great care.
The experiment was conducted with both carefulness and precision.
The experiment was conducted carefully and precisely. (Correct answer)

Correct answer: The experiment was conducted carefully and precisely.

Option C combines both key ideas (careful + precise) into one concise sentence without restating either concept.

Question 62: Choose the correct pronoun case: '_____ students scored highest on the exam — Maria and I.' A) We B) Us C) Our D) Ourselves

Us
We (Correct answer)
Our
Ourselves

Correct answer: We

'We students' is the subject of the sentence, so the nominative case 'we' is required.

Question 63: An author writing about urban heat islands uses the subheading 'Causes' followed by 'Effects' followed by 'Solutions.' Which organizational pattern does this reflect?

Compare and contrast
Order of importance
Chronological order
Problem-cause-solution (Correct answer)

Correct answer: Problem-cause-solution

Organizing content by causes, effects, and solutions follows a problem-cause-solution framework common in informational texts.

Question 64: What feature does Bluebook provide to help students manage their time across questions in a module?

A question navigation panel showing all questions and their review status (Correct answer)
A per-question timer that limits how long can be spent on each item
An audio alarm that sounds when 5 minutes remain
Automatic submission of the module when half the time has elapsed

Correct answer: A question navigation panel showing all questions and their review status

Bluebook's question navigation panel lets students see all question numbers, which ones are answered, and which are marked for review.

Question 65: How does the Digital SAT's adaptive testing affect the difficulty of Module 2?

Module 2 is always harder than Module 1 for everyone
Module 2 difficulty is randomly assigned regardless of Module 1 results
Your performance on Module 1 determines whether Module 2 is harder or easier (Correct answer)
You can choose your preferred difficulty level before Module 2 begins

Correct answer: Your performance on Module 1 determines whether Module 2 is harder or easier

The Digital SAT is adaptive at the module level: strong performance in Module 1 routes you to a harder Module 2, which enables higher score potential.

Question 66: The function g(x) = x² - 6x + 8 has zeros at x = 2 and x = 4. What is the vertex of g(x)?

(3, 1)
(2, 0)
(4, 0)
(3, -1) (Correct answer)

Correct answer: (3, -1)

The vertex x-coordinate is the midpoint of the zeros: (2+4)/2 = 3, and g(3) = 9 - 18 + 8 = -1.

Question 67: What is an advantage of official practice tests offered by the College Board?

They only focus on one section of the test.
They are easier than the actual test.
They are available only in paper format.
They include real, previously used test questions. (Correct answer)

Correct answer: They include real, previously used test questions.

Official practice tests offered by the College Board, particularly those available through Khan Academy, are invaluable because they include real, previously used test questions or questions designed to closely mimic the actual exam. This provides the most accurate representation of the test format, question types, and difficulty level. Practicing with these materials offers the best insight into what to expect on test day.

Question 68: What is the main purpose of identifying an author's purpose?

To understand why the text was written and how to interpret it (Correct answer)
To identify the publication date
To memorize vocabulary
To find grammar errors

Correct answer: To understand why the text was written and how to interpret it

Understanding the author's purpose (inform, persuade, entertain) helps readers interpret the text correctly.

Question 69: A passage about immigration policy includes a personal story about a single immigrant family in its introduction. How does this narrative element function in relation to the rest of the informational passage?

It substitutes for statistical evidence that the author lacks
It humanizes the topic and gives a specific case that the broader data will contextualize (Correct answer)
It proves that the author has firsthand experience with immigration policy
It signals that the passage will focus entirely on individual stories rather than policy analysis

Correct answer: It humanizes the topic and gives a specific case that the broader data will contextualize

A personal narrative in an introduction serves to make an abstract policy topic concrete and emotionally accessible before the passage shifts to broader evidence.

Question 70: A line passes through (0, -3) and (4, 5). What is its equation?

y = 0.5x - 3
y = 2x + 3
y = -2x - 3
y = 2x - 3 (Correct answer)

Correct answer: y = 2x - 3

The slope is (5 - (-3))/(4 - 0) = 2 and the y-intercept is -3, giving y = 2x - 3.

Question 71: The graph of y = a(x - h)² + k passes through (0, 5) with vertex at (2, 1). What is the value of a?

1 (Correct answer)
1/2
2
4/3

Correct answer: 1

Substituting (0,5): 5 = a(0-2)² + 1 = 4a + 1, so 4a = 4 and a = 1.

Question 72: A city's population was 50,000 in 2000 and 80,000 in 2020. What was the percent increase over this period?

62.5%
60% (Correct answer)
30%
37.5%

Correct answer: 60%

Percent increase = (80,000 − 50,000)/50,000 × 100 = 30,000/50,000 × 100 = 60%.

Question 73: On the Digital SAT, what happens if a student enters a value outside the valid range for a student-produced response question?

The answer is automatically rounded to the nearest valid value
Bluebook alerts the student that the entry is invalid and prompts them to re-enter a value (Correct answer)
The response is silently recorded as zero
The question is locked and cannot be changed for the rest of the module

Correct answer: Bluebook alerts the student that the entry is invalid and prompts them to re-enter a value

Bluebook validates SPR entries in real time and notifies the student if the input is not a recognized numeric format, giving them a chance to correct it.

Question 74: Which of the following Digital SAT math question types allows students to enter their own numeric answer rather than selecting from choices?

Student-produced response questions, which require typing a calculated answer into an input box (Correct answer)
True/False questions that appear only in Module 2
Matching questions that pair values from two columns
All math questions on the Digital SAT are multiple choice

Correct answer: Student-produced response questions, which require typing a calculated answer into an input box

The Digital SAT includes student-produced response (SPR) items where students type their own numeric answer, making it impossible to guess from answer choices.

Question 75: A student needs to find the value of x in the equation 3(x + 4) = 2x + 17. Which first step is most efficient?

Subtract 2x from both sides
Distribute 3 on the left side (Correct answer)
Divide both sides by 3
Add 17 to both sides

Correct answer: Distribute 3 on the left side

Distributing first eliminates the parentheses and simplifies the equation to 3x + 12 = 2x + 17, making it easy to isolate x.

Question 76: What kind of skills are assessed in the Reading and Writing section?

Memorization of historical texts.
Creative writing and poetry analysis.
Comprehension, analysis, and grammar skills. (Correct answer)
Advanced vocabulary memorization.

Correct answer: Comprehension, analysis, and grammar skills.

The Reading and Writing section of the Digital SAT assesses a range of critical verbal skills essential for academic success. It evaluates a student's ability to comprehend and analyze texts, understand rhetorical strategies, and apply correct grammar, punctuation, and standard English conventions. This section focuses on practical language proficiency rather than rote memorization.

Question 77: A triangle has angles measuring 45°, 90°, and 45°. If the hypotenuse is 10, what is the length of each leg?

5√2 (Correct answer)
10√2
5√3
5

Correct answer: 5√2

In a 45-45-90 triangle, each leg = hypotenuse ÷ √2 = 10 ÷ √2 = 5√2.

Question 78: A car travels at a constant speed. After 2 hours it has gone 90 miles, and after 5 hours it has gone 225 miles. Which linear equation models the distance d in miles after t hours?

d = 45t + 90
d = 45t (Correct answer)
d = 90t
d = 45t - 90

Correct answer: d = 45t

The speed is 90/2 = 45 mph and with d = 0 when t = 0, the equation is d = 45t.

Question 79: A DSAT problem asks for the probability that a randomly selected student from a two-way table plays a sport AND is in 10th grade. What is the correct calculation?

(students who play a sport) ÷ (10th graders)
(10th graders) ÷ (students who play a sport)
(10th graders who play a sport) ÷ (total students) (Correct answer)
(total students) ÷ (10th graders who play a sport)

Correct answer: (10th graders who play a sport) ÷ (total students)

For a joint probability (A AND B), divide the count satisfying both conditions by the total sample size.

Question 80: On the Digital SAT, which of the following is NOT a permitted use of the on-screen notepad?

Writing notes about passage content
Storing answers to submit at the end of the section in place of the answer boxes (Correct answer)
Jotting down eliminated answer choices
Doing scratch work for math calculations

Correct answer: Storing answers to submit at the end of the section in place of the answer boxes

The notepad is a scratch space only; answers must be entered in the designated answer boxes — notepad content is not scored.

Question 81: A passage's second paragraph begins: 'Not everyone agrees with this assessment.' What does this sentence signal about the paragraph's content?

The paragraph will shift to a completely unrelated topic
The paragraph will define a key term introduced in the first paragraph
The paragraph will present a counterargument or alternative perspective to the view in the first paragraph (Correct answer)
The paragraph will provide additional supporting evidence for the first paragraph's claim

Correct answer: The paragraph will present a counterargument or alternative perspective to the view in the first paragraph

The phrase 'not everyone agrees' is a classic signal phrase that introduces a counterargument or contrasting viewpoint.

Question 82: The word 'proliferate' in 'Misinformation tends to proliferate on unmoderated platforms' most nearly means:

Be corrected automatically
Increase rapidly in number (Correct answer)
Become more dangerous
Decrease gradually

Correct answer: Increase rapidly in number

To proliferate means to increase rapidly in number or spread widely.

Question 83: The word 'pragmatic' in 'The pragmatic engineer chose the simplest solution that worked' most nearly means:

Overly cautious
Theoretical
Innovative and creative
Practical and results-oriented (Correct answer)

Correct answer: Practical and results-oriented

Pragmatic refers to dealing with things sensibly and practically rather than theoretically.

Question 84: Which sentence contains a misplaced modifier?

Wearing a raincoat, she walked through the storm.
I saw a dog walking down the street in a raincoat.
She found a cat hiding under the porch.
He bought a car from a dealer with leather seats. (Correct answer)

Correct answer: He bought a car from a dealer with leather seats.

In option C, 'with leather seats' is misplaced and seems to modify 'dealer' rather than 'car'; it should read 'a car with leather seats from a dealer.'

Question 85: Which sentence avoids the error of using a double negative? A) She couldn't find no solution to the problem. B) He didn't say nothing about the meeting. C) They couldn't find any evidence at the scene. D) We don't have no time for distractions.

She couldn't find no solution to the problem.
They couldn't find any evidence at the scene. (Correct answer)
We don't have no time for distractions.
He didn't say nothing about the meeting.

Correct answer: They couldn't find any evidence at the scene.

'Couldn't find any' uses a single negative, correctly expressing that no evidence was found.

Question 86: What does a pie chart represent?

Comparisons between groups
Parts of a whole as percentages (Correct answer)
Scatter patterns
Changes over time

Correct answer: Parts of a whole as percentages

Pie charts display data as proportional slices of a circle, showing how individual parts contribute to the total.

Question 87: A quadratic equation has roots r₁ and r₂. If r₁ + r₂ = 7 and r₁ · r₂ = 12, which equation has these roots?

x² + 7x + 12 = 0
x² + 7x - 12 = 0
x² - 7x - 12 = 0
x² - 7x + 12 = 0 (Correct answer)

Correct answer: x² - 7x + 12 = 0

Using Vieta's formulas: x² - (sum)x + (product) = 0 → x² - 7x + 12 = 0.

Question 88: What is the slope of a line passing through the points (2, 3) and (6, 11)?

1
4
3
2 (Correct answer)

Correct answer: 2

Slope = (y₂ − y₁) / (x₂ − x₁) = (11 − 3) / (6 − 2) = 8 / 4 = 2.

Question 89: If (x + 3)(x - 5) = 0, what are the solutions for x?

x = -3 and x = -5
x = 3 and x = -5
x = -3 and x = 5 (Correct answer)
x = 3 and x = 5

Correct answer: x = -3 and x = 5

Setting each factor equal to zero: x + 3 = 0 → x = -3 and x - 5 = 0 → x = 5.

Question 90: A polynomial p(x) satisfies p(2) = 0. Which of the following must be a factor of p(x)?

x² - 2
x + 2
x - 2 (Correct answer)
2x - 1

Correct answer: x - 2

By the Factor Theorem, if p(2) = 0, then (x - 2) is a factor of p(x).

Question 91: The word 'diffident' in 'The diffident student rarely raised her hand despite knowing the answers' most nearly means:

Persistently stubborn
Highly competitive
Lacking self-confidence (Correct answer)
Deeply curious

Correct answer: Lacking self-confidence

Diffident means modest or shy due to a lack of self-confidence.

Question 92: Two parallel lines are cut by a transversal. If one interior angle measures 65°, what is the measure of the co-interior (same-side interior) angle?

115° (Correct answer)
65°
25°
90°

Correct answer: 115°

Co-interior angles (same-side interior) are supplementary, so they add up to 180°; 180° − 65° = 115°.

Question 93: How should you manage time during a timed test?

Divide total time by questions and pace yourself, spending less on easy ones (Correct answer)
Spend equal time on every question
Rush through the entire test
Only work on hard questions

Correct answer: Divide total time by questions and pace yourself, spending less on easy ones

Calculate time per question, spend less on easy questions to bank time for harder ones, and check your pace periodically.

Question 94: When using Bluebook for the Digital SAT, why is it important to fully charge your device the night before the test?

Bluebook downloads additional content only when the battery is above 80%
Power fluctuations affect the accuracy of the adaptive algorithm
College Board requires 100% battery as a security measure
Low battery can cause Bluebook to warn or limit functionality, potentially disrupting your test (Correct answer)

Correct answer: Low battery can cause Bluebook to warn or limit functionality, potentially disrupting your test

A low battery mid-test could trigger warnings or shut down the device, so College Board recommends arriving with a fully charged device.

Question 95: A passage reports: 'Survey respondents who identified as frequent readers scored higher on empathy measures than non-readers.' A researcher notes this is a correlational study. What conclusion is best supported by this finding?

Non-readers should be required to read more
Reading fiction causes people to become more empathetic
People who read frequently tend to score higher on empathy measures (Correct answer)
Empathy cannot be measured reliably in survey studies

Correct answer: People who read frequently tend to score higher on empathy measures

Correlational data supports an association between two variables but cannot establish that one causes the other, so only the claim about a tendency or pattern is warranted.

Question 96: In 'The documentary provided an unvarnished look at poverty in rural communities,' 'unvarnished' most nearly means:

Incomplete and partial
Plain and without embellishment (Correct answer)
Artistic and stylized
Biased and one-sided

Correct answer: Plain and without embellishment

Unvarnished means presenting facts plainly without concealment or embellishment.

Question 97: Which study schedule approach is MOST effective for long-term Digital SAT preparation?

Study only the subjects you already find easy to build confidence
Take one full-length practice test and review it the day before the exam
Study for 8 hours the weekend before the exam only
Consistent daily or near-daily practice sessions spread over several weeks or months (Correct answer)

Correct answer: Consistent daily or near-daily practice sessions spread over several weeks or months

Spaced practice over an extended period produces stronger retention and skill development than cramming, which fades quickly under exam conditions.

Question 98: A word problem involves consecutive integers whose sum is 78. Which equation correctly models this?

x + (x + 1) = 78 (Correct answer)
x + x = 78
x + (x + 2) = 78
x × (x + 1) = 78

Correct answer: x + (x + 1) = 78

Consecutive integers differ by 1, so representing them as x and x + 1 and setting their sum equal to 78 is the correct model.

Digital SAT (DSAT)

The Digital SAT is College Board's computer-adaptive college admissions test measuring critical reading, writing, and mathematics skills. It uses a two-module adaptive format across two sections — Reading and Writing, and Math — and is scored on a 400–1600 scale.

Questions

134 min

Time Limit

70%

To Pass

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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