TSIA2 College Readiness Math 3 — Questions and Answers
Question 1: Simplify: (2x³y²)(3x²y⁴)
- 6x⁵y⁶ (Correct answer)
- 6x⁶y⁸
- 5x⁵y⁶
- 6x⁵y⁸
Correct answer: 6x⁵y⁶
Multiply coefficients (2 × 3 = 6) and add exponents: x^(3+2) = x⁵, y^(2+4) = y⁶.
Question 2: What are the solutions to x² + 5x − 6 = 0?
- x = 1 and x = −6 (Correct answer)
- x = −1 and x = 6
- x = 2 and x = −3
- x = −2 and x = 3
Correct answer: x = 1 and x = −6
Factor: (x + 6)(x − 1) = 0, so x = −6 or x = 1.
Question 3: What is the y-intercept of the line 4x − 2y = 10?
- −5 (Correct answer)
- 5
- 2
- −2
Correct answer: −5
Set x = 0: −2y = 10, so y = −5.
Question 4: The table shows (1, 3), (2, 6), (3, 12), (4, 24). Which function best models this data?
- f(x) = 3 · 2^(x−1) (Correct answer)
- f(x) = 3x
- f(x) = 2x + 1
- f(x) = x² + 2
Correct answer: f(x) = 3 · 2^(x−1)
Each output doubles, indicating exponential growth: f(x) = 3 · 2^(x−1).
Question 5: Solve the system: x + y = 8 and x − y = 2
- x = 5, y = 3 (Correct answer)
- x = 3, y = 5
- x = 6, y = 2
- x = 4, y = 4
Correct answer: x = 5, y = 3
Adding the equations: 2x = 10, x = 5; substituting: y = 3.
Question 6: Which value of k makes 4x² + kx + 9 a perfect square trinomial?
- 12 (Correct answer)
- −12
- 6
- 36
Correct answer: 12
For a perfect square (2x + 3)², the middle term is 2(2x)(3) = 12x, so k = 12.
Question 7: A car travels 180 miles at an average speed of 60 mph. How long does the trip take?
- 3 hours (Correct answer)
- 2.5 hours
- 4 hours
- 1.5 hours
Correct answer: 3 hours
Time = distance ÷ speed = 180 ÷ 60 = 3 hours.
