TSIA2 College Readiness Math 2 — Questions and Answers
Question 1: Which expression is equivalent to 3x² − 12x + 12?
- 3(x − 2)² (Correct answer)
- 3(x + 2)²
- (3x − 6)(x − 2)
- 3(x² − 4x + 4)²
Correct answer: 3(x − 2)²
Factor out 3 to get 3(x² − 4x + 4) = 3(x − 2)².
Question 2: A line passes through (−1, 4) and (3, −4). What is its slope?
- −2 (Correct answer)
- 2
- −½
- ½
Correct answer: −2
Slope = (−4 − 4) / (3 − (−1)) = −8/4 = −2.
Question 3: Solve for x: |2x − 5| = 9
- x = 7 or x = −2 (Correct answer)
- x = 7 or x = 2
- x = −7 or x = 2
- x = −7 or x = −2
Correct answer: x = 7 or x = −2
Set 2x − 5 = 9 (x = 7) and 2x − 5 = −9 (x = −2).
Question 4: What is the domain of f(x) = √(x − 3)?
- x ≥ 3 (Correct answer)
- x > 3
- x ≤ 3
- all real numbers
Correct answer: x ≥ 3
The radicand must be non-negative, so x − 3 ≥ 0, giving x ≥ 3.
Question 5: If f(x) = 2x + 3 and g(x) = x², what is f(g(2))?
- 11 (Correct answer)
- 14
- 49
- 7
Correct answer: 11
g(2) = 4, then f(4) = 2(4) + 3 = 11.
Question 6: Which inequality represents all values of x such that 3 − 2x < 7?
- x > −2 (Correct answer)
- x < −2
- x > 2
- x < 2
Correct answer: x > −2
Subtract 3: −2x < 4, then divide by −2 and flip the sign: x > −2.
Question 7: A rectangle's length is 3 more than twice its width. If the perimeter is 36, what is the width?
- 5 (Correct answer)
- 6
- 9
- 13
Correct answer: 5
Let w = width, length = 2w + 3; 2(w + 2w + 3) = 36 → 6w + 6 = 36 → w = 5.
TSIA2 College Readiness Math 2
Which expression is equivalent to 3x² − 12x + 12?