NSAA NSAA Mathematics - Algebra and Functions

Question 1

Solve for x: 3x - 7 = 14

Accepted Answer

x = 7

Answer

3x = 21, so x = 7.

Question 2

Which of the following is a factor of x² - 5x + 6?

Accepted Answer

(x - 2)

Answer

x² - 5x + 6 = (x-2)(x-3), so (x-2) is a factor.

Question 3

If f(x) = 2x² - 3, what is f(4)?

Accepted Answer

29

Answer

f(4) = 2(16) - 3 = 32 - 3 = 29.

Question 4

Solve: 2x + 3y = 12 and x - y = 1 simultaneously. What is y?

Accepted Answer

2

Answer

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?

Accepted Answer

0

Answer

Discriminant = b² - 4ac = 16 - 4×2×2 = 16-16 = 0.

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