KYOTE College Readiness Math 3 — Questions and Answers
Question 1: If f(x) = 3x² − 2x + 1, what is f(−1)?
- 6 (Correct answer)
- 2
- 0
- 4
Correct answer: 6
f(−1) = 3(1) − 2(−1) + 1 = 3 + 2 + 1 = 6.
Question 2: What is the median of {7, 2, 9, 4, 6}?
- 6 (Correct answer)
- 7
- 5.6
- 4
Correct answer: 6
Ordered set: {2,4,6,7,9}; the middle (3rd) value is 6.
Question 3: Solve the inequality: 3x − 5 > 10
- x > 5 (Correct answer)
- x > 15
- x < 5
- x > 3
Correct answer: x > 5
Add 5 to both sides: 3x > 15, then divide by 3: x > 5.
Question 4: Two angles are supplementary. One measures 47°. What is the other?
- 133° (Correct answer)
- 43°
- 53°
- 143°
Correct answer: 133°
Supplementary angles sum to 180°: 180 − 47 = 133°.
Question 5: Simplify: (x² − 4x) / x where x ≠ 0
- x − 4 (Correct answer)
- x + 4
- x² − 4
- 1 − 4/x
Correct answer: x − 4
Factor the numerator: x(x−4)/x = x−4.
Question 6: A store sells a jacket for $90, which is 75% of its original price. What was the original price?
- $120 (Correct answer)
- $135
- $115
- $112.50
Correct answer: $120
90 = 0.75 × p, so p = 90/0.75 = 120.
Question 7: What is the y-intercept of the line 4x − 2y = 8?
- −4 (Correct answer)
- 4
- 2
- −2
Correct answer: −4
Set x=0: −2y=8, y=−4; or rewrite as y=2x−4, giving y-intercept −4.
KYOTE College Readiness Math 3
If f(x) = 3x² − 2x + 1, what is f(−1)?