MDTP Algebra 2 — Questions and Answers
Question 1: What is the y-intercept of the line y = 3x - 5?
- 3
- -5 (Correct answer)
- 5
- 0
Correct answer: -5
In slope-intercept form y = mx + b, the y-intercept is b = -5.
Question 2: Solve the system: x + y = 10 and x - y = 4
- x = 6, y = 4
- x = 7, y = 3 (Correct answer)
- x = 8, y = 2
- x = 5, y = 5
Correct answer: x = 7, y = 3
Adding the two equations gives 2x = 14, so x = 7, then y = 10 - 7 = 3.
Question 3: Simplify: (3x²y)(2xy³)
- 5x³y⁴
- 6x³y⁴ (Correct answer)
- 6x²y⁶
- 5x²y³
Correct answer: 6x³y⁴
Multiply coefficients (3 × 2 = 6) and add exponents for like bases: x²⁺¹ = x³ and y¹⁺³ = y⁴.
Question 4: Which value of x satisfies the equation |2x - 4| = 6?
- x = 5 only
- x = -1 only
- x = 5 or x = -1 (Correct answer)
- x = 1 or x = -5
Correct answer: x = 5 or x = -1
Setting 2x - 4 = 6 gives x = 5; setting 2x - 4 = -6 gives x = -1.
Question 5: What is the vertex of the parabola y = (x - 3)² + 2?
- (3, 2) (Correct answer)
- (-3, 2)
- (3, -2)
- (-3, -2)
Correct answer: (3, 2)
In vertex form y = (x - h)² + k, the vertex is (h, k) = (3, 2).
Question 6: If 2^x = 32, what is x?
- 4
- 5 (Correct answer)
- 6
- 16
Correct answer: 5
Since 32 = 2^5, x = 5.
MDTP Algebra 2
What is the y-intercept of the line y = 3x - 5?