NSAA NSAA Mathematics - Algebra and Functions 1 — Questions and Answers
Question 1: Solve for x: 3x - 7 = 14
- x = 3
- x = 5
- x = 7 (Correct answer)
- x = 9
Correct answer: x = 7
3x = 21, so x = 7.
Question 2: Which of the following is a factor of x² - 5x + 6?
- (x - 1)
- (x - 2) (Correct answer)
- (x + 3)
- (x + 6)
Correct answer: (x - 2)
x² - 5x + 6 = (x-2)(x-3), so (x-2) is a factor.
Question 3: If f(x) = 2x² - 3, what is f(4)?
- 13
- 22
- 29 (Correct answer)
- 32
Correct answer: 29
f(4) = 2(16) - 3 = 32 - 3 = 29.
Question 4: Solve: 2x + 3y = 12 and x - y = 1 simultaneously. What is y?
- 1
- 2 (Correct answer)
- 3
- 4
Correct answer: 2
From x = y+1, substituting: 2(y+1)+3y=12 → 5y=10 → y=2.
Question 5: What is the discriminant of 2x² - 4x + 2 = 0?
- 0 (Correct answer)
- 8
- 16
- -8
Correct answer: 0
Discriminant = b² - 4ac = 16 - 4×2×2 = 16-16 = 0.
Question 6: If g(x) = 3x + 1, what is g⁻¹(x)?
- (x-1)/3 (Correct answer)
- (x+1)/3
- 3x-1
- 1/(3x+1)
Correct answer: (x-1)/3
Set y = 3x+1, swap x and y: x = 3y+1, so y = (x-1)/3.
NSAA NSAA Mathematics - Algebra and Functions 1
Solve for x: 3x - 7 = 14