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TSI Math Test Exam 2026/2027 Actual
Exam | 100% Correct Answers | Pass
Guaranteed - A+ Graded
Section 1: Elementary Algebra and Functions
Q1:
Solve for x: 3x + 7 = 22
A. x = 3
B. x = 5 [CORRECT]
C. x = 7
D. x = 15
Correct Answer: B
Rationale:
1. Subtract 7 from both sides: 3x = 15
2. Divide both sides by 3: x = 5
Q2:
Simplify: 2(x + 4) - 3(x - 2)
A. -x + 2
B. -x + 14 [CORRECT]
C. 5x + 2
D. 5x + 14
Correct Answer: B
Rationale:
1. Distribute: 2x + 8 - 3x + 6
2. Combine like terms: (2x - 3x) + (8 + 6) = -x + 14
Q3:
,2
Factor completely: x² - 5x + 6
A. (x - 2)(x - 3) [CORRECT]
B. (x + 2)(x + 3)
C. (x - 1)(x - 6)
D. (x + 1)(x + 6)
Correct Answer: A
Rationale:
1. Find two numbers that multiply to 6 and add to -5: -2 and -3
2. Write as (x - 2)(x - 3)
Q4:
Solve the system: x + y = 10, x - y = 2
A. x = 6, y = 4 [CORRECT]
B. x = 4, y = 6
C. x = 8, y = 2
D. x = 2, y = 8
Correct Answer: A
Rationale:
1. Add the two equations: 2x = 12 → x = 6
2. Substitute x = 6 into x + y = 10: 6 + y = 10 → y = 4
Q5:
Solve for x: 5x - 3 = 2x + 9
A. x = 2
B. x = 4 [CORRECT]
C. x = 6
D. x = 8
Correct Answer: B
Rationale:
1. Subtract 2x from both sides: 3x - 3 = 9
2. Add 3 to both sides: 3x = 12
3. Divide by 3: x = 4
, 3
Q6:
Which of the following is the solution to the inequality: 2x + 5 > 13
A. x > 4 [CORRECT]
B. x > 5
C. x > 6
D. x > 7
Correct Answer: A
Rationale:
1. Subtract 5 from both sides: 2x > 8
2. Divide by 2: x > 4
Q7:
Solve for x: 4(x - 3) = 2x + 6
A. x = 5
B. x = 6
C. x = 7
D. x = 9 [CORRECT]
Correct Answer: D
Rationale:
1. Distribute: 4x - 12 = 2x + 6
2. Subtract 2x: 2x - 12 = 6
3. Add 12: 2x = 18
4. Divide by 2: x = 9
Q8:
Which of the following is the solution to the inequality: -3x + 7 ≤ 22
A. x ≥ -5 [CORRECT]
B. x ≥ -3
C. x ≤ -5
D. x ≤ -3
TSI Math Test Exam 2026/2027 Actual
Exam | 100% Correct Answers | Pass
Guaranteed - A+ Graded
Section 1: Elementary Algebra and Functions
Q1:
Solve for x: 3x + 7 = 22
A. x = 3
B. x = 5 [CORRECT]
C. x = 7
D. x = 15
Correct Answer: B
Rationale:
1. Subtract 7 from both sides: 3x = 15
2. Divide both sides by 3: x = 5
Q2:
Simplify: 2(x + 4) - 3(x - 2)
A. -x + 2
B. -x + 14 [CORRECT]
C. 5x + 2
D. 5x + 14
Correct Answer: B
Rationale:
1. Distribute: 2x + 8 - 3x + 6
2. Combine like terms: (2x - 3x) + (8 + 6) = -x + 14
Q3:
,2
Factor completely: x² - 5x + 6
A. (x - 2)(x - 3) [CORRECT]
B. (x + 2)(x + 3)
C. (x - 1)(x - 6)
D. (x + 1)(x + 6)
Correct Answer: A
Rationale:
1. Find two numbers that multiply to 6 and add to -5: -2 and -3
2. Write as (x - 2)(x - 3)
Q4:
Solve the system: x + y = 10, x - y = 2
A. x = 6, y = 4 [CORRECT]
B. x = 4, y = 6
C. x = 8, y = 2
D. x = 2, y = 8
Correct Answer: A
Rationale:
1. Add the two equations: 2x = 12 → x = 6
2. Substitute x = 6 into x + y = 10: 6 + y = 10 → y = 4
Q5:
Solve for x: 5x - 3 = 2x + 9
A. x = 2
B. x = 4 [CORRECT]
C. x = 6
D. x = 8
Correct Answer: B
Rationale:
1. Subtract 2x from both sides: 3x - 3 = 9
2. Add 3 to both sides: 3x = 12
3. Divide by 3: x = 4
, 3
Q6:
Which of the following is the solution to the inequality: 2x + 5 > 13
A. x > 4 [CORRECT]
B. x > 5
C. x > 6
D. x > 7
Correct Answer: A
Rationale:
1. Subtract 5 from both sides: 2x > 8
2. Divide by 2: x > 4
Q7:
Solve for x: 4(x - 3) = 2x + 6
A. x = 5
B. x = 6
C. x = 7
D. x = 9 [CORRECT]
Correct Answer: D
Rationale:
1. Distribute: 4x - 12 = 2x + 6
2. Subtract 2x: 2x - 12 = 6
3. Add 12: 2x = 18
4. Divide by 2: x = 9
Q8:
Which of the following is the solution to the inequality: -3x + 7 ≤ 22
A. x ≥ -5 [CORRECT]
B. x ≥ -3
C. x ≤ -5
D. x ≤ -3
