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TSI Math Test Exam 2026/2027 | 100% Correct
Answers | Complete Resource with Verified
Solutions | Updated for Current Texas Success
Initiative Assessment Standards | Pass
Guaranteed - A+ Graded
Section 1: Elementary Algebra & Functions
Q1: Solve for x: 3x + 7 = 22
A. x = 3
B. x = 4
C. x = 5 [CORRECT]
D. x = 6
Correct Answer: C
Rationale: Subtract 7 from both sides: 3x = 15. Then divide both sides by 3: x = 5.
Q2: Solve the inequality: 2x - 5 < 9
A. x < 2
B. x < 7
C. x < 7 [CORRECT]
D. x > 7
Correct Answer: C
Rationale: Add 5 to both sides: 2x < 14. Divide by 2: x < 7.
Q3: Simplify the expression: 4(3x - 2) + 5x
A. 7x - 2
B. 12x - 8
C. 17x - 8 [CORRECT]
D. 17x + 8
Correct Answer: C
1
,2
Rationale: Distribute 4: 12x - 8 + 5x. Combine like terms: 17x - 8.
Q4: Find the slope of the line passing through points (2, 5) and (6, 13)
A. 1
B. 2 [CORRECT]
C. 3
D. 4
Correct Answer: B
Rationale: Use slope formula m = (y₂ - y₁)/(x₂ - x₁) = (13 - 5)/(6 - 2) = 8/4 = 2.
Q5: Solve the system of equations: y = 2x + 3 and y = -x + 6
A. (1, 5) [CORRECT]
B. (2, 7)
C. (3, 3)
D. (0, 6)
Correct Answer: A
Rationale: Set equations equal: 2x + 3 = -x + 6. Solve: 3x = 3, so x = 1. Substitute back: y = 2(1)
+ 3 = 5. Solution is (1, 5).
Q6: Factor completely: x² - 9
A. (x - 3)²
B. (x + 3)(x + 3)
C. (x + 3)(x - 3) [CORRECT]
D. x(x - 9)
Correct Answer: C
Rationale: This is a difference of squares: a² - b² = (a + b)(a - b). So x² - 9 = (x + 3)(x - 3).
Q7: Solve for x: 5(x - 2) = 3(x + 4)
A. x = 5
B. x = 7
C. x = 11 [CORRECT]
2
, 3
D. x = 13
Correct Answer: C
Rationale: Distribute: 5x - 10 = 3x + 12. Subtract 3x: 2x - 10 = 12. Add 10: 2x = 22. Divide by 2:
x = 11.
Q8: If 3 times a number decreased by 8 equals 19, what is the number?
A. 7
B. 8
C. 9 [CORRECT]
D. 10
Correct Answer: C
Rationale: Translate to equation: 3x - 8 = 19. Add 8: 3x = 27. Divide by 3: x = 9.
Q9: Solve the inequality: -3x + 6 ≥ 15
A. x ≤ -3 [CORRECT]
B. x ≥ -3
C. x ≤ 3
D. x ≥ 3
Correct Answer: A
Rationale: Subtract 6: -3x ≥ 9. Divide by -3 (flip inequality): x ≤ -3.
Q10: Simplify: (3x²y)(4xy³)
A. 7x³y⁴
B. 12x²y³
C. 12x³y⁴ [CORRECT]
D. 12x²y⁴
Correct Answer: C
Rationale: Multiply coefficients: 3 × 4 = 12. Add exponents for x: 2 + 1 = 3. Add exponents for
y: 1 + 3 = 4. Result: 12x³y⁴.
Q11: Solve the quadratic equation: x² - 5x + 6 = 0
A. x = 2 or x = 3 [CORRECT]
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TSI Math Test Exam 2026/2027 | 100% Correct
Answers | Complete Resource with Verified
Solutions | Updated for Current Texas Success
Initiative Assessment Standards | Pass
Guaranteed - A+ Graded
Section 1: Elementary Algebra & Functions
Q1: Solve for x: 3x + 7 = 22
A. x = 3
B. x = 4
C. x = 5 [CORRECT]
D. x = 6
Correct Answer: C
Rationale: Subtract 7 from both sides: 3x = 15. Then divide both sides by 3: x = 5.
Q2: Solve the inequality: 2x - 5 < 9
A. x < 2
B. x < 7
C. x < 7 [CORRECT]
D. x > 7
Correct Answer: C
Rationale: Add 5 to both sides: 2x < 14. Divide by 2: x < 7.
Q3: Simplify the expression: 4(3x - 2) + 5x
A. 7x - 2
B. 12x - 8
C. 17x - 8 [CORRECT]
D. 17x + 8
Correct Answer: C
1
,2
Rationale: Distribute 4: 12x - 8 + 5x. Combine like terms: 17x - 8.
Q4: Find the slope of the line passing through points (2, 5) and (6, 13)
A. 1
B. 2 [CORRECT]
C. 3
D. 4
Correct Answer: B
Rationale: Use slope formula m = (y₂ - y₁)/(x₂ - x₁) = (13 - 5)/(6 - 2) = 8/4 = 2.
Q5: Solve the system of equations: y = 2x + 3 and y = -x + 6
A. (1, 5) [CORRECT]
B. (2, 7)
C. (3, 3)
D. (0, 6)
Correct Answer: A
Rationale: Set equations equal: 2x + 3 = -x + 6. Solve: 3x = 3, so x = 1. Substitute back: y = 2(1)
+ 3 = 5. Solution is (1, 5).
Q6: Factor completely: x² - 9
A. (x - 3)²
B. (x + 3)(x + 3)
C. (x + 3)(x - 3) [CORRECT]
D. x(x - 9)
Correct Answer: C
Rationale: This is a difference of squares: a² - b² = (a + b)(a - b). So x² - 9 = (x + 3)(x - 3).
Q7: Solve for x: 5(x - 2) = 3(x + 4)
A. x = 5
B. x = 7
C. x = 11 [CORRECT]
2
, 3
D. x = 13
Correct Answer: C
Rationale: Distribute: 5x - 10 = 3x + 12. Subtract 3x: 2x - 10 = 12. Add 10: 2x = 22. Divide by 2:
x = 11.
Q8: If 3 times a number decreased by 8 equals 19, what is the number?
A. 7
B. 8
C. 9 [CORRECT]
D. 10
Correct Answer: C
Rationale: Translate to equation: 3x - 8 = 19. Add 8: 3x = 27. Divide by 3: x = 9.
Q9: Solve the inequality: -3x + 6 ≥ 15
A. x ≤ -3 [CORRECT]
B. x ≥ -3
C. x ≤ 3
D. x ≥ 3
Correct Answer: A
Rationale: Subtract 6: -3x ≥ 9. Divide by -3 (flip inequality): x ≤ -3.
Q10: Simplify: (3x²y)(4xy³)
A. 7x³y⁴
B. 12x²y³
C. 12x³y⁴ [CORRECT]
D. 12x²y⁴
Correct Answer: C
Rationale: Multiply coefficients: 3 × 4 = 12. Add exponents for x: 2 + 1 = 3. Add exponents for
y: 1 + 3 = 4. Result: 12x³y⁴.
Q11: Solve the quadratic equation: x² - 5x + 6 = 0
A. x = 2 or x = 3 [CORRECT]
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