MPT Algebra 2 — Questions and Answers
Question 1: Solve for x: 3(2x - 4) = 2(x + 6)
- x = 6 (Correct answer)
- x = 4
- x = 8
- x = 3
Correct answer: x = 6
Expanding gives 6x - 12 = 2x + 12, so 4x = 24 and x = 6.
Question 2: Which of the following is a factor of x² - 7x + 12?
- (x - 3) (Correct answer)
- (x + 3)
- (x - 6)
- (x + 4)
Correct answer: (x - 3)
x² - 7x + 12 = (x - 3)(x - 4), so (x - 3) is a factor.
Question 3: If f(x) = 2x² - 3x + 1, what is f(-2)?
- 15 (Correct answer)
- 11
- 3
- -3
Correct answer: 15
f(-2) = 2(4) - 3(-2) + 1 = 8 + 6 + 1 = 15.
Question 4: What is the slope of the line passing through (1, 3) and (4, 9)?
- 2 (Correct answer)
- 3
- 1/2
- 6
Correct answer: 2
Slope = (9 - 3)/(4 - 1) = 6/3 = 2.
Question 5: Simplify: (3x²y)(4xy³)
- 12x³y⁴ (Correct answer)
- 12x²y³
- 7x³y⁴
- 12x³y³
Correct answer: 12x³y⁴
Multiply coefficients (3·4 = 12) and add exponents: x^(2+1) = x³ and y^(1+3) = y⁴.
Question 6: Solve the inequality: -4x + 2 > 10
- x < -2 (Correct answer)
- x > -2
- x < 2
- x > 2
Correct answer: x < -2
-4x > 8 gives x < -2 (inequality flips when dividing by a negative).
Question 7: What is the y-intercept of the line 5x - 2y = 10?
- -5 (Correct answer)
- 5
- 2
- -2
Correct answer: -5
Setting x = 0 gives -2y = 10, so y = -5.
MPT Algebra 2
Solve for x: 3(2x - 4) = 2(x + 6)