TSI ASSESSMENT (TEXAS) – PRACTICE QUESTIONS AND CORRECT ANSWERS (VERIFIED ANSWERS) PLUS
RATIONALES 2026 Q&A | INSTANT DOWNLOAD PDF.
*Core Domains*
*1. Quantitative Reasoning*
*2. Algebraic Expressions and Equations*
*3. Geometry and Measurement*
*4. Data Analysis and Statistics*
*5. Reading Comprehension and Analysis*
*6. Literary Text Interpretation*
*7. Standard English Conventions*
*8. Sentence Structure and Grammar*
*9. Essay Revision and Editing*
*Introduction*
*The purpose of this comprehensive assessment is to evaluate college readiness across fo
1. What is the value of x in the equation 3x - 7 = 14?
🟢 A. 7
B. 5
C. 4
D. 9
🔴 RATIONALE: Adding 7 to both sides results in 3x = 21. Dividing by 3 yields x = 7.
,2. Simplify the expression: 4(2y + 3) - 5y.
A. 3y + 3
🟢 B. 3y + 12
C. 8y + 12
D. 13y + 12
🔴 RATIONALE: Distribute the 4 to get 8y + 12. Then subtract 5y from 8y to get 3y + 12.
3. Which of the following is equivalent to the expression x^2 * x^4?
A. x^8
B. 2x^6
🟢 C. x^6
D. 2x^8
🔴 RATIONALE: When multiplying terms with the same base, add their exponents: 2 + 4 = 6.
4. If a store sells items at a 20% discount and the original price is $50, what is the sale price?
A. $30
B. $45
C. $20
🟢 D. $40
🔴 RATIONALE: A 20% discount on $50 is 0.20 * 50 = $10. Subtracting $10 from $50 gives $40.
5. Solve the inequality: -2x > 10.
🟢 A. x < -5
B. x > -5
,C. x > 5
D. x < 5
🔴 RATIONALE: When dividing by a negative number, the inequality sign must flip. Thus, x < -5.
6. Find the slope of the line passing through (2, 4) and (4, 10).
A. 2
🟢 B. 3
C. 4
D. 6
🔴 RATIONALE: Slope formula is (y2 - y1)/(x2 - x1). (10 - 4)/(4 - 2) = 6/2 = 3.
7. What is the y-intercept of the line given by the equation y = -4x + 7?
A. -4
B. 4
🟢 C. 7
D. -7
🔴 RATIONALE: In the slope-intercept form y = mx + b, the y-intercept is b, which is 7.
8. If f(x) = x^2 - 3x + 2, what is f(4)?
A. 8
B. 4
C. 2
🟢 D. 6
🔴 RATIONALE: Substitute 4 for x: (4)^2 - 3(4) + 2 = 16 - 12 + 2 = 6.
, 9. Which of the following is the factored form of x^2 - 9?
🟢 A. (x - 3)(x + 3)
B. (x - 9)(x + 1)
C. (x - 3)(x - 3)
D. (x + 3)(x + 3)
🔴 RATIONALE: This is a difference of squares. a^2 - b^2 factors to (a - b)(a + b).
10. A triangle has a base of 10 and a height of 6. What is its area?
A. 60
🟢 B. 30
C. 16
D. 32
🔴 RATIONALE: The area of a triangle is 0.5 * base * height = 0.5 * 10 * 6 = 30.
11. Choose the sentence with the correct subject-verb agreement.
A. The group of students are studying for the exam.
B. Neither the teacher nor the students is ready.
🟢 C. The list of requirements is available online.
D. Each of the dogs run fast.
🔴 RATIONALE: "List" is singular, so it takes the singular verb "is," regardless of the plural "requirements" in the
prepositional phrase.
12. Identify the correct punctuation for the sentence.
RATIONALES 2026 Q&A | INSTANT DOWNLOAD PDF.
*Core Domains*
*1. Quantitative Reasoning*
*2. Algebraic Expressions and Equations*
*3. Geometry and Measurement*
*4. Data Analysis and Statistics*
*5. Reading Comprehension and Analysis*
*6. Literary Text Interpretation*
*7. Standard English Conventions*
*8. Sentence Structure and Grammar*
*9. Essay Revision and Editing*
*Introduction*
*The purpose of this comprehensive assessment is to evaluate college readiness across fo
1. What is the value of x in the equation 3x - 7 = 14?
🟢 A. 7
B. 5
C. 4
D. 9
🔴 RATIONALE: Adding 7 to both sides results in 3x = 21. Dividing by 3 yields x = 7.
,2. Simplify the expression: 4(2y + 3) - 5y.
A. 3y + 3
🟢 B. 3y + 12
C. 8y + 12
D. 13y + 12
🔴 RATIONALE: Distribute the 4 to get 8y + 12. Then subtract 5y from 8y to get 3y + 12.
3. Which of the following is equivalent to the expression x^2 * x^4?
A. x^8
B. 2x^6
🟢 C. x^6
D. 2x^8
🔴 RATIONALE: When multiplying terms with the same base, add their exponents: 2 + 4 = 6.
4. If a store sells items at a 20% discount and the original price is $50, what is the sale price?
A. $30
B. $45
C. $20
🟢 D. $40
🔴 RATIONALE: A 20% discount on $50 is 0.20 * 50 = $10. Subtracting $10 from $50 gives $40.
5. Solve the inequality: -2x > 10.
🟢 A. x < -5
B. x > -5
,C. x > 5
D. x < 5
🔴 RATIONALE: When dividing by a negative number, the inequality sign must flip. Thus, x < -5.
6. Find the slope of the line passing through (2, 4) and (4, 10).
A. 2
🟢 B. 3
C. 4
D. 6
🔴 RATIONALE: Slope formula is (y2 - y1)/(x2 - x1). (10 - 4)/(4 - 2) = 6/2 = 3.
7. What is the y-intercept of the line given by the equation y = -4x + 7?
A. -4
B. 4
🟢 C. 7
D. -7
🔴 RATIONALE: In the slope-intercept form y = mx + b, the y-intercept is b, which is 7.
8. If f(x) = x^2 - 3x + 2, what is f(4)?
A. 8
B. 4
C. 2
🟢 D. 6
🔴 RATIONALE: Substitute 4 for x: (4)^2 - 3(4) + 2 = 16 - 12 + 2 = 6.
, 9. Which of the following is the factored form of x^2 - 9?
🟢 A. (x - 3)(x + 3)
B. (x - 9)(x + 1)
C. (x - 3)(x - 3)
D. (x + 3)(x + 3)
🔴 RATIONALE: This is a difference of squares. a^2 - b^2 factors to (a - b)(a + b).
10. A triangle has a base of 10 and a height of 6. What is its area?
A. 60
🟢 B. 30
C. 16
D. 32
🔴 RATIONALE: The area of a triangle is 0.5 * base * height = 0.5 * 10 * 6 = 30.
11. Choose the sentence with the correct subject-verb agreement.
A. The group of students are studying for the exam.
B. Neither the teacher nor the students is ready.
🟢 C. The list of requirements is available online.
D. Each of the dogs run fast.
🔴 RATIONALE: "List" is singular, so it takes the singular verb "is," regardless of the plural "requirements" in the
prepositional phrase.
12. Identify the correct punctuation for the sentence.
