CXC - Caribbean Examinations Council Mathematics: Algebra and Functions Questions and Answers

Question 1

If f(x) = 2x - 3 and g(x) = x^2 + 1, what is the value of gf(4)?

Accepted Answer

34

Answer

17

Answer

26

Answer

10

Question 2

The cost, C, in dollars, of producing 'n' T-shirts is given by the formula C(n) = 150 + 7n. A school wants to produce 200 T-shirts for an event. What will be the total cost?

Accepted Answer

$1550

Answer

$1400

Answer

$350

Answer

$1250

Question 3

Which of the following expressions is the correct factorization of 4x² - 9y²?

Accepted Answer

(2x + 3y)(2x - 3y)

Answer

(2x - 3y)(2x - 3y)

Answer

(4x - 9y)(x + y)

Answer

(4x + 9y)(x - y)

Question 4

Solve the following pair of simultaneous equations: 3x + y = 10 and x - 2y = 1.

Accepted Answer

x = 3, y = 1

Answer

x = 2, y = 4

Answer

x = 4, y = -2

Answer

x = 1, y = 7

Question 5

The solutions to the quadratic equation 2x² - 5x - 3 = 0 are:

Accepted Answer

x = -1/2 and x = 3

Answer

x = -1 and x = 3/2

Answer

x = 1/2 and x = -3

Answer

x = 1 and x = -3/2

Question 6

If h(x) = (5x - 2) / 3, find the inverse function, h⁻¹(x).

Accepted Answer

(3x + 2) / 5

Answer

(3x - 2) / 5

Answer

3x + 2 / 5

Answer

3(x+2) / 5