2023 Category 1

Which expression is a factor of 30x² - 4x - 16?

• 5x + 4

• 3x - 2

• 5x - 4

• 3x - 4

• 4w + 12

• 4w - 12

• w - 3

• w + 3

Which expressions are equivalent to 12x² - 48x + 48?

• 12 (x - 2)²

• -12 (x² + 4x + 4)

• 12 (x - 4)(x - 1)

• -12 (x + 2)²

• 12 (x² - 4x + 4)

A sequence is defined by f(1) = 27 and f(n) = 1/3 f(n - 1) for each whole number n, where n > 1. What are the first four terms of the sequence?

• 27, 9, 3, 1

• 27, 81, 243, 729

• 1/3, 28/3, 55/3, 82/3

• 1/3, 1/81, 1/2,187, 1/59,049

Which expression is equivalent to (2a+5)(3a-2)?

• 17a - 10

• 6a² - 10

• 6a² + 11a - 10

• 6a² + 19a + 10

Which expression is equivalent to 24gh - 12g² + 18g?

• 6g(4h - 12g + 18)

• 12g(2h - 12g + 18)

• 6g(4h - 2g + 3)

• 12g(2h - g + 3)

• 167

• 282

• 324

• 247