September 13 2025 DSAT – Test 9E: Sample Questions & Full Analysis

Expert Breakdown of the September 2025 Digital SAT (Test 9E)

Welcome to the allsatpapers.com expert analysis! As specialists in official test materials, we know that success on the Digital SAT comes from practicing with real, official exams. The 13 September 2025 DSAT (Test 9E) is a key test form from this administration. It provides a crucial look at the types of questions, vocabulary, and mathematical reasoning skills the College Board is currently using to challenge students.

This post will provide a deep dive into this specific test, quoting key passages that customers often search for to identify the exam they need. Let's analyze what makes Test 9E a vital study tool.

Section 1: Reading & Writing Module 1 (Key Passages)

The first R&W module is designed to set your baseline. As requested, we have quoted the first two questions in full, as these are the most common passages users search for to identify this test.

Section 1: Reading & Writing Module 2 (Adaptive) Analysis

This module's difficulty adapts based on your performance in Module 1. The questions become more complex, testing more nuanced vocabulary and text structures. Here are some key passages from Module 2 of Test 9E.

Section 2: Math Module 1 Analysis

The first math module on Test 9E features a standard mix of algebra, data analysis, and geometry. The focus is on foundational skills and straightforward application.

Core Concepts on Display

• Factoring (Question 1): "Which expression is equivalent to $v^4 - 590v^3$?" This is a fundamental "Greatest Common Factor" (GCF) problem. The GCF is $v^3$. Factoring this out leaves (D) $v^3(v - 590)$.
• Geometry (Question 2): This question shows two parallel lines cut by a transversal. The angle in the top-left (interior) is 107°. The angle in the bottom-right (interior) is $x^\circ$. These are alternate interior angles, which are always equal. Therefore, $x = 107$.
• Systems of Equations (Question 15): This question asks for the number of solutions to the system:
  $3x + y = 21$
  $9x - y = 3$
  To check for the number of solutions, we can find the slope of each line.
  Line 1: $y = -3x + 21$ (Slope = -3)
  Line 2: $-y = -9x + 3 \rightarrow y = 9x - 3$ (Slope = 9)
  Since the slopes are different, the lines are not parallel and must cross at (D) Exactly one point.

Section 2: Math Module 2 (Adaptive) Analysis

This module increases the complexity, requiring multi-step problem-solving and a deeper understanding of algebraic structures.

Advanced Applications

• Function Notation (Question 7): "On January 1, 2000, the population... was 26,255 and on January 1, 2010, the population was 26,956. The equation $10x + 26,255 = 26,956$ describes this situation." The question asks for the best interpretation of $x$.
  The equation is in the form $\text{(Change)} + \text{(Start)} = \text{(End)}$. The total change is $10x$. Since this change occurred over 10 years, $x$ must represent the change *per year*. The correct answer is (B) The average increase per year of the population...
• Volume Ratios (Question 8): "Cube B has a volume of 125... The length of each edge of cube A is $k$ times the length of each edge of cube B. If cube A has a volume of 3,375..."
  1. Find the side length of Cube B: $\sqrt[3]{125} = 5$.
  2. Find the side length of Cube A: $\sqrt[3]{3375} = 15$.
  3. Relate the sides: $\text{Side}_A = k \times \text{Side}_B$.
  4. $15 = k \times 5$
  5. $k = 3$. This is a classic problem that tests the relationship between linear ratios and volume ratios. The correct answer is (B) 3.
• Area Conversion (Question 18): "A certain town has an area of 12,669,184 square yards. What is the area, in square miles... (1 mile = 1,760 yards)".
  This is a major trap question. Students must convert square yards, not yards.
  1. Find the conversion for square units: $1 \text{ square mile} = (1,760 \text{ yards}) \times (1,760 \text{ yards}) = 3,097,600 \text{ square yards}$.
  2. Divide the total square yards by this conversion factor:
  $12,669,184 \text{ sq yd} / 3,097,600 \text{ sq yd/sq mi} \approx 4.09$
  The correct answer is (C) 4.09.
• Advanced Quadratics (Question 22): "In the given equation, $n$ is an integer constant. If the equation has two distinct real solutions, what is the greatest possible value of $n$?"
  $nx^2 - 16x = 26x^2 - 8$
  1. Set the equation to zero: $(nx^2 - 26x^2) - 16x + 8 = 0$
  2. Group the terms: $(n - 26)x^2 - 16x + 8 = 0$
  3. For "two distinct real solutions," the discriminant ($b^2 - 4ac$) must be greater than 0.
  Here, $a = (n - 26)$, $b = -16$, $c = 8$.
  4. $(-16)^2 - 4(n - 26)(8) > 0$
  5. $256 - 32(n - 26) > 0$
  6. $256 - 32n + 832 > 0$
  7. $1088 - 32n > 0$
  8. $1088 > 32n$
  9. $34 > n$
  10. Since $n$ must be less than 34 and $n$ is an integer, the greatest possible value is 33.

Overall Difficulty and Analysis of Test 9E

After a comprehensive review of all four modules, here is our expert assessment of the 13 September 2025 (9E) DSAT:

• Overall Difficulty: Medium-Hard.
• Reading & Writing: This section is of Medium difficulty. The vocabulary in Module 1 (magnify, varies from) and Module 2 (conspicuous, untenable, synthesis) is standard for the SAT and can be solved using the provided context. The logic is straightforward, and the grammar questions test core rules (e.g., subject-verb agreement, punctuation).
• Math: This section is Hard. While Module 1 is very standard (factoring, parallel lines, basic systems), Module 2 contains several high-difficulty "trap" questions and advanced algebraic manipulations. The area conversion (Q18) is designed to catch students who don't square the conversion factor, and the discriminant question (Q22) requires multiple steps of algebraic simplification and inequality solving. This module is clearly designed to differentiate top-scoring students.

Why This Practice Test is Essential For Your Prep

DSAT Test 9E (13 September 2025) is a perfect snapshot of the current Digital SAT. It clearly shows the test's emphasis on:

• Vocabulary in Context: You must be able to use contextual clues to determine the precise meaning and function of a word.
• Evidence-Based Reading: The ability to read a short passage or graph and find the one piece of evidence that directly supports a claim is critical.
• Algebraic Fluency: The Math section is dominated by algebra. Fluency in factoring, solving linear equations, and setting up inequalities from word problems is non-negotiable.
• Multi-Step Problem Solving: The hardest questions (like the discriminant and area conversion problems in Module 2) are not testing obscure concepts. They are testing your ability to execute multiple foundational concepts in the correct order.

Studying with an official past paper like Test 9E is the single best way to build the skills and pattern recognition needed to excel on test day. Analyzing your mistakes on this exam will show you exactly what to focus on in your remaining prep time.