ALGEBRA - Jamb Mathematics Past Questions and Answers

Question 161:

• JAMB 1983

If (x + 2) and (x - 1) are factors of the expression \(Lx^{3} + 2kx^{2} + 24\), find the values of L and k.

A. 1 = -6, k = -9
B. 1 = -2, k = 1
C. K = -1, 1 = -2
D. 1 = 0, k = 1
E. K = 0,1 = 6

Question 162:

• JAMB 1983

Make T the subject of the equation \(\frac{av}{1 - v}\) = \(\sqrt{\frac{2v + T}{a + 2T}}\)

A. T = \(\frac{3av}{1 - v}\)
B. T = \(\frac{1 + v}{2a^2v^3}\)
C. T = \(\frac{2v(1 - v)^3 - a^4v^3}{2a^3v^3 + (1 - v)^2}\)
D. \(\frac{2v(1 - v)^3 - a^4 v^3}{2a^3v^ 3 - (1 - v)^3}\)

Question 163:

• JAMB 1983

y varies partly as the square of x and partly as the inverse of the square root of x.Write down the expression for y if y = 2 when x = 1 and y = 6 when x = 4

A. Y = \(\frac{10x^2}{31} + \frac{52}{31\sqrt{x}}\)
B. Y = x² + \(\frac{1}{\sqrt{x}}\)
C. Y = x² + \(\frac{1}{x}\)
D. Y = \(\frac{x^2}{31} + \frac{1}{31\sqrt{x}}\)

Question 164:

• JAMB 1983

If w varies inversely as V and U varies directly as w³, Find the relationship between u and v given that u = 1, when v = 2

A. U = \(\frac{8}{v^3}\)
B. V = \(\frac{8}{u^2v^3}\)
C. U = 8v³
D. V = 8u²

Question 165:

• JAMB 1983

Solve the simultaneous equations for x in x² + y - 8 = 0, y + 5x - 2 = 0

A. -28, 7
B. 6, -28
C. 6, -1
D. -1, 7
E. 3, 2